Hands_On_3.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SPH6004 Hands-On 3\n",
    "## Tree-based models and Support Vector Machines\n",
    "\n",
    "Contents:\n",
    "* New models \n",
    "  * Tree-based models\n",
    "    * Simple decision trees\n",
    "    * Gradient boosting trees\n",
    "  * Support vector machines (SVM)\n",
    "    * linear SVM\n",
    "    * SVM with the rbf kernel\n",
    "* `sklearn` techniques\n",
    "  * New model implementations in `sklearn`\n",
    "  * Parameter selection using `GridSearchCV`\n",
    "* Linearly separable and non-separable data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We will use the following packages\n",
    "\n",
    "# NumPy for math operations, and Pandas for processing tabular data.\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# Plotly plotting package\n",
    "import plotly.graph_objects as go\n",
    "import plotly.express as px\n",
    "\n",
    "# We use toy datasets in scikit-learn package\n",
    "from sklearn.datasets import load_breast_cancer\n",
    "\n",
    "# Tools in sklearn to select best model\n",
    "from sklearn.model_selection import StratifiedKFold, train_test_split, GridSearchCV\n",
    "\n",
    "# Decision tree classifier in sklearn\n",
    "from sklearn.tree import DecisionTreeClassifier as DTC, plot_tree\n",
    "\n",
    "# We use f1 score to test model performance\n",
    "from sklearn.metrics import f1_score\n",
    "\n",
    "# Import matplotlib.pyplot to visualize tree models\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Again we use the breast cancer data. Recall that from last hands-on, the forward feature selection method selected `mean concave points`, `radius error` and `worst concave points` as the top-3 most important features to predict whether cell samples are benign or malignant. (Note that the forward feature selection method has build-in randomness, so if you try it multiple times you may get different top-3 features.) To ease data and model visualization we only use these tree features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 569 entries, 0 to 568\n",
      "Data columns (total 5 columns):\n",
      " #   Column                Non-Null Count  Dtype  \n",
      "---  ------                --------------  -----  \n",
      " 0   mean concave points   569 non-null    float64\n",
      " 1   radius error          569 non-null    float64\n",
      " 2   worst concave points  569 non-null    float64\n",
      " 3   target                569 non-null    int64  \n",
      " 4   label                 569 non-null    object \n",
      "dtypes: float64(3), int64(1), object(1)\n",
      "memory usage: 22.4+ KB\n"
     ]
    }
   ],
   "source": [
    "X_raw, y_df = load_breast_cancer(return_X_y=True, as_frame=True)\n",
    "\n",
    "X_df = X_raw[['mean concave points', 'radius error', 'worst concave points']]\n",
    "Xy = pd.concat([X_df,y_df],axis=1)\n",
    "Xy['label'] = np.where(Xy['target'].to_numpy()==0,'benign','malignant')\n",
    "Xy.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "hovertemplate": "label=benign<br>worst concave points=%{x}<br>radius error=%{y}<br>mean concave points=%{z}<extra></extra>",
         "legendgroup": "benign",
         "marker": {
          "color": "#636efa",
          "size": 2.5,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "benign",
         "scene": "scene",
         "showlegend": true,
         "type": "scatter3d",
         "x": [
          0.2654,
          0.186,
          0.243,
          0.2575,
          0.1625,
          0.1741,
          0.1932,
          0.1556,
          0.206,
          0.221,
          0.09975,
          0.181,
          0.1767,
          0.1119,
          0.2208,
          0.1712,
          0.1609,
          0.2073,
          0.2388,
          0.2393,
          0.2009,
          0.2095,
          0.255,
          0.2701,
          0.149,
          0.2024,
          0.1456,
          0.1848,
          0.1546,
          0.1847,
          0.1785,
          0.1864,
          0.1813,
          0.1447,
          0.02899,
          0.2258,
          0.1112,
          0.1424,
          0.2493,
          0.1492,
          0.1607,
          0.2378,
          0.2088,
          0.1325,
          0.153,
          0.2091,
          0.1834,
          0.1785,
          0.1716,
          0.1614,
          0.1789,
          0.1899,
          0.1383,
          0.152,
          0.2102,
          0.2508,
          0.2867,
          0.1841,
          0.1642,
          0.1225,
          0.1956,
          0.1476,
          0.2115,
          0.1573,
          0.1565,
          0.1184,
          0.1986,
          0.291,
          0.2027,
          0.2034,
          0.1185,
          0.1674,
          0.2248,
          0.1329,
          0.1218,
          0.1732,
          0.1514,
          0.1312,
          0.1379,
          0.09331,
          0.1667,
          0.1216,
          0.1865,
          0.1515,
          0.1777,
          0.2247,
          0.2346,
          0.1474,
          0.1721,
          0.116,
          0.1827,
          0.2035,
          0.2688,
          0.2903,
          0.1541,
          0.1226,
          0.1571,
          0.1772,
          0.1459,
          0.1727,
          0.1673,
          0.09181,
          0.1708,
          0.1838,
          0.1939,
          0.2733,
          0.2013,
          0.1252,
          0.1096,
          0.192,
          0.1595,
          0.1099,
          0.1772,
          0.1654,
          0.182,
          0.1625,
          0.1479,
          0.1977,
          0.2543,
          0.1563,
          0.2593,
          0.1445,
          0.2066,
          0.1564,
          0.2105,
          0.2507,
          0.1857,
          0.1999,
          0.1374,
          0.1941,
          0.2229,
          0.2462,
          0.2014,
          0.1697,
          0.08235,
          0.1528,
          0.08568,
          0.1984,
          0.1659,
          0.1841,
          0.1136,
          0.1294,
          0.1872,
          0.2252,
          0.1732,
          0.0716,
          0.198,
          0.1923,
          0.1776,
          0.1425,
          0.2685,
          0.1583,
          0.1047,
          0.1981,
          0.1827,
          0.2048,
          0.2089,
          0.2255,
          0.2135,
          0.2756,
          0.1526,
          0.1765,
          0.2152,
          0.182,
          0.2432,
          0.2248,
          0.1966,
          0.2112,
          0.2524,
          0.1359,
          0.1825,
          0.2121,
          0.2422,
          0.1964,
          0.1974,
          0.06575,
          0.2134,
          0.2475,
          0.2173,
          0.1708,
          0.1827,
          0.1739,
          0.1535,
          0.197,
          0.228,
          0.1466,
          0.1555,
          0.2625,
          0.1996,
          0.1775,
          0.206,
          0.08737,
          0.1489,
          0.1663,
          0.2113,
          0.1521,
          0.2264,
          0.2163,
          0.2051,
          0.112,
          0.151,
          0.1613,
          0.2475,
          0.1613,
          0.2148,
          0.1362,
          0.2356,
          0.2542,
          0.2216,
          0.1628,
          0.1418,
          0.265
         ],
         "y": [
          1.095,
          0.5435,
          0.7456,
          0.4956,
          0.7572,
          0.3345,
          0.4467,
          0.5835,
          0.3063,
          0.2976,
          0.3795,
          0.5058,
          0.9555,
          0.4033,
          0.2121,
          0.37,
          0.4727,
          0.5692,
          0.7582,
          0.4388,
          0.6917,
          0.8068,
          1.046,
          0.2545,
          0.8529,
          0.439,
          0.6003,
          0.8307,
          0.4825,
          0.6009,
          0.5558,
          0.334,
          0.4615,
          0.286,
          1.214,
          0.213,
          0.2385,
          0.2366,
          0.9811,
          0.3704,
          0.1938,
          0.6289,
          0.2871,
          0.8337,
          0.3105,
          0.7275,
          0.4226,
          0.7036,
          0.4255,
          0.3577,
          0.7888,
          0.5907,
          0.2787,
          0.7474,
          0.9806,
          0.9317,
          0.8973,
          0.519,
          0.6997,
          0.4204,
          0.5495,
          0.3129,
          0.4768,
          0.7576,
          0.2895,
          0.4565,
          0.3908,
          1.215,
          0.4266,
          0.552,
          0.5506,
          0.7128,
          1.509,
          0.231,
          0.6896,
          0.4953,
          0.4743,
          0.4332,
          0.5959,
          0.2367,
          1.296,
          0.7049,
          0.3197,
          0.8113,
          1,
          0.7364,
          0.6642,
          0.599,
          1.088,
          0.4697,
          0.4209,
          0.3037,
          0.8361,
          0.6298,
          0.3699,
          0.2054,
          0.2577,
          0.286,
          0.4053,
          0.2796,
          0.6191,
          0.6362,
          0.4357,
          0.2092,
          0.3971,
          0.5539,
          0.5648,
          0.2711,
          0.5858,
          0.8601,
          2.873,
          0.5296,
          0.4207,
          0.2563,
          0.9553,
          0.7392,
          0.3473,
          0.3061,
          0.2959,
          0.524,
          1.058,
          0.6874,
          0.5366,
          0.5243,
          1.004,
          0.7661,
          0.3093,
          0.5959,
          0.425,
          0.8426,
          0.6592,
          1.292,
          0.2419,
          0.3977,
          0.4007,
          0.8348,
          0.2298,
          0.4203,
          1.172,
          1.167,
          0.4212,
          0.3283,
          0.6361,
          0.4709,
          0.2873,
          0.645,
          1.111,
          1.072,
          0.4041,
          0.5925,
          0.5702,
          0.4375,
          0.5706,
          0.3371,
          0.8161,
          0.6422,
          1.009,
          0.6226,
          0.5204,
          0.9948,
          0.6534,
          0.5781,
          0.9761,
          1.207,
          1.008,
          0.4312,
          0.3414,
          0.6137,
          0.2114,
          0.4157,
          0.6107,
          0.647,
          0.6242,
          0.403,
          0.4537,
          0.4681,
          1.37,
          0.253,
          0.4331,
          0.8191,
          0.2208,
          0.51,
          0.2986,
          0.3897,
          0.6643,
          0.4674,
          0.9291,
          2.547,
          0.9289,
          0.3147,
          0.5659,
          0.2473,
          0.7548,
          0.7923,
          0.5904,
          0.4751,
          1.291,
          0.3331,
          0.3906,
          0.386,
          0.5449,
          0.5079,
          0.9915,
          0.8336,
          0.6986,
          0.2027,
          0.2602,
          0.9622,
          1.176,
          0.7655,
          0.4564,
          0.726
         ],
         "z": [
          0.1471,
          0.07017,
          0.1279,
          0.1052,
          0.1043,
          0.08089,
          0.074,
          0.05985,
          0.09353,
          0.08543,
          0.03323,
          0.06606,
          0.1118,
          0.05364,
          0.08025,
          0.07364,
          0.05259,
          0.1028,
          0.09498,
          0.09756,
          0.08632,
          0.0917,
          0.1401,
          0.08783,
          0.07731,
          0.08751,
          0.07953,
          0.1244,
          0.05182,
          0.1203,
          0.07593,
          0.07752,
          0.06018,
          0.05598,
          0.02899,
          0.05439,
          0.02031,
          0.05669,
          0.09961,
          0.06158,
          0.05252,
          0.1009,
          0.0734,
          0.106,
          0.03334,
          0.08994,
          0.08123,
          0.08653,
          0.06873,
          0.09029,
          0.07951,
          0.07944,
          0.05069,
          0.06638,
          0.108,
          0.1604,
          0.1845,
          0.1469,
          0.08795,
          0.04938,
          0.08271,
          0.07483,
          0.08815,
          0.08683,
          0.05839,
          0.04489,
          0.09601,
          0.1823,
          0.08923,
          0.09479,
          0.05596,
          0.08665,
          0.2012,
          0.03085,
          0.05627,
          0.1149,
          0.08087,
          0.05613,
          0.06847,
          0.02704,
          0.08624,
          0.05943,
          0.07415,
          0.1054,
          0.09667,
          0.1286,
          0.09702,
          0.06576,
          0.1043,
          0.03438,
          0.1097,
          0.08866,
          0.1878,
          0.1496,
          0.05189,
          0.03263,
          0.05814,
          0.06618,
          0.04562,
          0.08878,
          0.06526,
          0.05778,
          0.06772,
          0.0598,
          0.07488,
          0.162,
          0.09176,
          0.04079,
          0.0539,
          0.09561,
          0.1595,
          0.06597,
          0.06462,
          0.05602,
          0.08691,
          0.06637,
          0.06462,
          0.06861,
          0.109,
          0.0834,
          0.1237,
          0.06022,
          0.08811,
          0.08886,
          0.131,
          0.0974,
          0.08353,
          0.08591,
          0.05246,
          0.1144,
          0.1242,
          0.1377,
          0.08399,
          0.09333,
          0.02837,
          0.07507,
          0.02847,
          0.06527,
          0.08646,
          0.1088,
          0.04744,
          0.05843,
          0.09664,
          0.09464,
          0.09052,
          0.03515,
          0.1062,
          0.128,
          0.0795,
          0.07726,
          0.1504,
          0.08488,
          0.07981,
          0.07041,
          0.09934,
          0.0609,
          0.141,
          0.1103,
          0.1242,
          0.1913,
          0.06553,
          0.07785,
          0.1265,
          0.08465,
          0.1501,
          0.08773,
          0.1255,
          0.08941,
          0.06367,
          0.05271,
          0.1021,
          0.09113,
          0.1562,
          0.1198,
          0.08824,
          0.02739,
          0.08481,
          0.09711,
          0.1259,
          0.08744,
          0.06463,
          0.05736,
          0.06254,
          0.08293,
          0.1155,
          0.09063,
          0.06431,
          0.1689,
          0.1002,
          0.09194,
          0.1194,
          0.02307,
          0.07762,
          0.09183,
          0.1121,
          0.06759,
          0.1003,
          0.0852,
          0.08172,
          0.04335,
          0.09451,
          0.09431,
          0.1471,
          0.1015,
          0.1322,
          0.06139,
          0.09429,
          0.1474,
          0.1389,
          0.09791,
          0.05302,
          0.152
         ]
        },
        {
         "hovertemplate": "label=malignant<br>worst concave points=%{x}<br>radius error=%{y}<br>mean concave points=%{z}<extra></extra>",
         "legendgroup": "malignant",
         "marker": {
          "color": "#EF553B",
          "size": 2.5,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "malignant",
         "scene": "scene",
         "showlegend": true,
         "type": "scatter3d",
         "x": [
          0.1288,
          0.07283,
          0.06227,
          0.05013,
          0.02564,
          0.06548,
          0.1282,
          0.03715,
          0.08586,
          0.06296,
          0.06316,
          0.01111,
          0.04419,
          0.02579,
          0.02778,
          0.05087,
          0.06517,
          0.06961,
          0.175,
          0.05882,
          0.04786,
          0.0866,
          0.07407,
          0.07926,
          0.06127,
          0.1708,
          0.07632,
          0.1205,
          0.1397,
          0.06946,
          0.1001,
          0.07911,
          0.05882,
          0.02381,
          0.08449,
          0,
          0.07431,
          0.09749,
          0.03203,
          0.1218,
          0.08442,
          0.08278,
          0.05334,
          0.1105,
          0.1505,
          0.06136,
          0.105,
          0.07247,
          0.03846,
          0.08958,
          0.1221,
          0.08978,
          0.05104,
          0.1423,
          0.08187,
          0.1374,
          0.06968,
          0.08476,
          0.08611,
          0,
          0.06402,
          0.1012,
          0.03413,
          0.06042,
          0.08405,
          0.1599,
          0.06019,
          0.06296,
          0.07879,
          0.1571,
          0.05506,
          0.09722,
          0.08211,
          0.08436,
          0.07025,
          0.03953,
          0.07909,
          0.08194,
          0.05754,
          0.04603,
          0.08485,
          0.09391,
          0.04306,
          0,
          0,
          0.0991,
          0.009259,
          0.0399,
          0.06296,
          0.01042,
          0.1099,
          0.04306,
          0.04815,
          0.04773,
          0,
          0.08235,
          0.108,
          0.1015,
          0.05588,
          0.1126,
          0.1035,
          0.06913,
          0.1138,
          0.03571,
          0.08056,
          0.0909,
          0.05575,
          0.09678,
          0.1087,
          0.04464,
          0.1379,
          0.118,
          0.02083,
          0.03002,
          0.07222,
          0.07963,
          0.08219,
          0.09222,
          0.04052,
          0.1218,
          0.06106,
          0.06736,
          0.0497,
          0.1561,
          0.06136,
          0.09608,
          0.06544,
          0.07926,
          0.06189,
          0.0578,
          0.086,
          0.03333,
          0.0875,
          0.05159,
          0.08946,
          0.01111,
          0.05185,
          0.09993,
          0.0829,
          0.1017,
          0.008772,
          0.1155,
          0.05366,
          0.09314,
          0.06203,
          0.1021,
          0.1489,
          0.1056,
          0.0914,
          0.06343,
          0.05802,
          0.03194,
          0.0753,
          0.03125,
          0.07625,
          0.06528,
          0.05509,
          0.04815,
          0.025,
          0.01389,
          0.0221,
          0.03532,
          0.05741,
          0.05813,
          0.08411,
          0.04715,
          0,
          0.02784,
          0.01852,
          0.1145,
          0.02832,
          0.09744,
          0.1155,
          0.05556,
          0.05602,
          0.0589,
          0.02796,
          0.09858,
          0.02022,
          0.01667,
          0.03983,
          0.0585,
          0.06499,
          0.1414,
          0.0812,
          0.1075,
          0.07864,
          0.04074,
          0.05093,
          0.1251,
          0.06548,
          0.04766,
          0.04262,
          0.03922,
          0.09265,
          0.1258,
          0.05556,
          0.04762,
          0.05052,
          0.01635,
          0.05614,
          0.08312,
          0.09123,
          0.06987,
          0.08829,
          0.08178,
          0.06987,
          0.1251,
          0.1465,
          0.05781,
          0.1054,
          0.1318,
          0.06754,
          0.1092,
          0.09804,
          0.09173,
          0.0914,
          0.04537,
          0.08272,
          0.06696,
          0,
          0.06266,
          0.07911,
          0.1453,
          0.08296,
          0.05556,
          0.05356,
          0.06876,
          0.06608,
          0.08388,
          0.04793,
          0.07887,
          0.1129,
          0.05601,
          0.09532,
          0.08698,
          0.07431,
          0.02564,
          0.1308,
          0.08263,
          0.0377,
          0.08224,
          0.04306,
          0.06664,
          0.1108,
          0.1105,
          0.1407,
          0.04589,
          0.02579,
          0.0931,
          0.07485,
          0.04044,
          0.03612,
          0.0737,
          0.07971,
          0.06384,
          0.07453,
          0.0589,
          0.08216,
          0.1555,
          0.03312,
          0.02222,
          0.1202,
          0.08308,
          0.09594,
          0.0875,
          0.07116,
          0.1069,
          0.09851,
          0.07763,
          0.06835,
          0.06005,
          0.05921,
          0.04866,
          0.05563,
          0.08288,
          0.1045,
          0.1357,
          0.1181,
          0.025,
          0.1416,
          0.0656,
          0.05547,
          0.1147,
          0,
          0.07966,
          0.09783,
          0.1339,
          0.06222,
          0.07431,
          0.0569,
          0.0815,
          0.1335,
          0.09077,
          0.1452,
          0.1342,
          0.07828,
          0.09815,
          0.06335,
          0.08341,
          0.0268,
          0.04195,
          0.1017,
          0.1407,
          0.1053,
          0.1018,
          0.08411,
          0.1025,
          0.1075,
          0.08088,
          0.09514,
          0.1357,
          0.1056,
          0.07955,
          0.09186,
          0.08542,
          0.1096,
          0.08045,
          0.07262,
          0.02832,
          0.1284,
          0.06528,
          0.08512,
          0.1427,
          0.107,
          0.1015,
          0.07393,
          0.101,
          0.0812,
          0.08704,
          0.09861,
          0.1308,
          0,
          0.05,
          0.06918,
          0.1205,
          0.1095,
          0.07958,
          0.06845,
          0.07174,
          0.02381,
          0.08333,
          0.03846,
          0.03264,
          0,
          0.06413,
          0.06498,
          0.02564,
          0.06493,
          0.09127,
          0.02232,
          0,
          0.1105,
          0.09653,
          0.1048,
          0,
          0
         ],
         "y": [
          0.2699,
          0.1852,
          0.2773,
          0.1839,
          0.1563,
          0.2636,
          0.2338,
          0.4062,
          0.1872,
          0.2273,
          0.3249,
          0.404,
          0.1559,
          0.5158,
          0.3582,
          0.4098,
          0.2351,
          0.2727,
          0.3274,
          0.2368,
          0.5262,
          0.2505,
          0.4101,
          0.2655,
          0.3251,
          0.286,
          0.2271,
          0.2978,
          0.5115,
          0.3721,
          0.4057,
          0.295,
          0.3661,
          0.335,
          0.2315,
          0.2241,
          0.1924,
          0.1803,
          0.355,
          0.306,
          0.1199,
          0.2344,
          0.403,
          0.3424,
          0.3628,
          0.3336,
          0.1665,
          0.3118,
          0.3132,
          0.1408,
          0.2929,
          0.1639,
          0.2185,
          0.4309,
          0.2005,
          0.3117,
          0.4489,
          0.1759,
          0.3384,
          0.1988,
          0.2843,
          0.2143,
          0.2525,
          0.3962,
          0.422,
          0.2406,
          0.25,
          0.4202,
          0.1935,
          0.8245,
          0.2251,
          0.271,
          0.22,
          0.4789,
          0.1822,
          0.2818,
          0.5018,
          0.2949,
          0.184,
          0.1728,
          0.2713,
          0.236,
          0.2073,
          0.3309,
          0.2204,
          0.4311,
          0.1731,
          0.2889,
          0.3344,
          0.4245,
          0.2451,
          0.1859,
          0.2382,
          0.7311,
          0.3539,
          0.1942,
          0.3534,
          0.3961,
          0.2137,
          0.1931,
          0.2134,
          0.2222,
          0.2963,
          0.3567,
          0.2102,
          0.2569,
          0.2467,
          0.2927,
          0.522,
          0.1913,
          0.2318,
          0.2449,
          0.121,
          0.2239,
          0.2152,
          0.2589,
          0.3354,
          0.3242,
          0.1153,
          0.2428,
          0.4347,
          0.3719,
          0.163,
          0.2025,
          0.2497,
          0.2562,
          0.3927,
          0.4505,
          0.338,
          0.2345,
          0.3198,
          0.1302,
          0.1904,
          0.2684,
          0.6412,
          0.2375,
          0.258,
          0.2479,
          0.5619,
          0.2913,
          0.2719,
          0.2742,
          0.1532,
          0.4866,
          0.2656,
          0.8811,
          0.2877,
          0.2094,
          0.207,
          0.1807,
          0.2191,
          0.1753,
          0.23,
          0.2868,
          0.3642,
          0.1485,
          0.3278,
          0.2512,
          0.1903,
          0.1746,
          0.2244,
          0.3975,
          0.1601,
          0.316,
          0.3265,
          0.1312,
          0.3368,
          0.1716,
          0.2113,
          0.4653,
          0.3778,
          0.3677,
          0.2212,
          0.2575,
          0.21,
          0.2571,
          0.2335,
          0.2684,
          0.2976,
          0.2144,
          0.184,
          0.1814,
          0.2619,
          0.3491,
          0.1844,
          0.1601,
          0.3446,
          0.338,
          0.243,
          0.3428,
          0.1707,
          0.361,
          0.3534,
          0.4222,
          0.3602,
          0.3106,
          0.2543,
          0.5381,
          0.5079,
          0.3511,
          0.2621,
          0.2213,
          0.3389,
          0.1584,
          0.2527,
          0.1783,
          0.1705,
          0.1745,
          0.1115,
          0.1689,
          0.1402,
          0.2562,
          0.1642,
          0.1194,
          0.2608,
          0.1833,
          0.2666,
          0.2541,
          0.3305,
          0.1911,
          0.5169,
          0.2841,
          0.1504,
          0.2136,
          0.3639,
          0.1855,
          0.3438,
          0.2522,
          0.2357,
          0.1458,
          0.3833,
          0.3796,
          0.2387,
          0.4993,
          0.3342,
          0.1916,
          0.1967,
          0.1186,
          0.3186,
          0.2747,
          0.4302,
          0.2253,
          0.2865,
          0.2864,
          0.5462,
          0.2456,
          0.2244,
          0.6965,
          0.1851,
          0.3276,
          0.3077,
          0.1415,
          0.2954,
          0.1767,
          0.3028,
          0.3665,
          0.3892,
          0.3419,
          0.2142,
          0.2574,
          0.3563,
          0.1818,
          0.2623,
          0.2204,
          0.2535,
          0.256,
          0.1912,
          0.306,
          0.1692,
          0.3408,
          0.3135,
          0.2084,
          0.2621,
          0.1781,
          0.2315,
          0.1816,
          0.2023,
          0.281,
          0.3152,
          0.3416,
          0.4101,
          0.3776,
          0.6061,
          0.2446,
          0.4455,
          0.1482,
          0.1499,
          0.3478,
          0.1555,
          0.2034,
          0.2194,
          0.3316,
          0.1588,
          0.2431,
          0.163,
          0.3921,
          0.2204,
          0.3713,
          0.2239,
          0.4834,
          0.3276,
          0.3237,
          0.2323,
          0.2324,
          0.1532,
          0.372,
          0.2577,
          0.4076,
          0.2744,
          0.1811,
          0.1779,
          0.2067,
          0.1924,
          0.2182,
          0.4165,
          0.243,
          0.4426,
          0.3834,
          0.3538,
          0.1344,
          0.3191,
          0.2498,
          0.1267,
          0.1998,
          0.1166,
          0.5461,
          0.2513,
          0.4384,
          0.2067,
          0.2047,
          0.1507,
          0.2957,
          0.3777,
          0.2196,
          0.2784,
          0.2542,
          0.3031,
          0.2351,
          0.272,
          0.346,
          0.2104,
          0.1144,
          0.2957,
          0.5196,
          0.3163,
          0.28,
          0.2409,
          0.3013,
          0.2116,
          0.2199,
          0.2441,
          0.5375,
          0.2254,
          0.2388,
          0.3645,
          0.3141,
          0.3857
         ],
         "z": [
          0.04781,
          0.0311,
          0.02076,
          0.02923,
          0.005917,
          0.02749,
          0.03384,
          0.01115,
          0.01723,
          0.01349,
          0.02278,
          0.004167,
          0.007799,
          0.0129,
          0.009259,
          0.0218,
          0.01504,
          0.0223,
          0.04375,
          0.02864,
          0.02872,
          0.02272,
          0.06556,
          0.02315,
          0.02233,
          0.06987,
          0.01863,
          0.03745,
          0.07064,
          0.02957,
          0.02648,
          0.0278,
          0.02941,
          0.007937,
          0.0335,
          0,
          0.0177,
          0.03029,
          0.01201,
          0.03485,
          0.01921,
          0.01899,
          0.01778,
          0.06021,
          0.07798,
          0.03068,
          0.01924,
          0.02008,
          0.02308,
          0.02623,
          0.05778,
          0.028,
          0.01141,
          0.08534,
          0.02882,
          0.05933,
          0.026,
          0.02875,
          0.04796,
          0,
          0.01861,
          0.03088,
          0.007875,
          0.03003,
          0.03562,
          0.05532,
          0.01329,
          0.02645,
          0.02168,
          0.07857,
          0.01786,
          0.03483,
          0.02331,
          0.02771,
          0.01963,
          0.006588,
          0.03738,
          0.02822,
          0.01939,
          0.01698,
          0.03781,
          0.037,
          0.02583,
          0,
          0,
          0.03716,
          0.001852,
          0.0133,
          0.02361,
          0.002404,
          0.03239,
          0.01553,
          0.01654,
          0.02864,
          0,
          0.02377,
          0.04107,
          0.03821,
          0.01952,
          0.05102,
          0.03157,
          0.01393,
          0.03142,
          0.01071,
          0.02563,
          0.04451,
          0.01915,
          0.02456,
          0.04603,
          0.01216,
          0.0378,
          0.02036,
          0.003125,
          0.006434,
          0.01667,
          0.01896,
          0.04408,
          0.03731,
          0.01108,
          0.02854,
          0.02344,
          0.0307,
          0.01105,
          0.0398,
          0.01615,
          0.02929,
          0.02069,
          0.02642,
          0.02142,
          0.01615,
          0.02867,
          0.00625,
          0.02755,
          0.01407,
          0.07404,
          0.003333,
          0.01238,
          0.03711,
          0.02763,
          0.0339,
          0.002924,
          0.03791,
          0.01171,
          0.05588,
          0.02173,
          0.06602,
          0.04819,
          0.0337,
          0.0228,
          0.01924,
          0.01917,
          0.01369,
          0.01374,
          0.01875,
          0.03099,
          0.0178,
          0.01502,
          0.01313,
          0.003261,
          0.003472,
          0.004419,
          0.008829,
          0.01148,
          0.01877,
          0.02548,
          0.008907,
          0,
          0.006423,
          0.005051,
          0.04908,
          0.01699,
          0.03965,
          0.034,
          0.01692,
          0.02107,
          0.02733,
          0.005592,
          0.0295,
          0.007583,
          0.002941,
          0.008535,
          0.02098,
          0.01775,
          0.04223,
          0.02292,
          0.03341,
          0.0325,
          0.02037,
          0.008488,
          0.03528,
          0.02322,
          0.01787,
          0.01162,
          0.01471,
          0.04391,
          0.05603,
          0.02088,
          0.02381,
          0.01406,
          0.005449,
          0.02424,
          0.01781,
          0.04835,
          0.01473,
          0.02027,
          0.02657,
          0.02031,
          0.05397,
          0.05941,
          0.01117,
          0.02471,
          0.0555,
          0.02074,
          0.02978,
          0.0288,
          0.02864,
          0.02534,
          0.008507,
          0.02757,
          0.01968,
          0,
          0.03326,
          0.03251,
          0.05381,
          0.04083,
          0.007246,
          0.01638,
          0.01796,
          0.01883,
          0.0239,
          0.02054,
          0.02932,
          0.04528,
          0.01867,
          0.02653,
          0.021,
          0.0248,
          0.005128,
          0.03876,
          0.02179,
          0.01257,
          0.02402,
          0.01076,
          0.01428,
          0.063,
          0.04497,
          0.04812,
          0.01967,
          0.005159,
          0.02218,
          0.01404,
          0.0137,
          0.01835,
          0.02799,
          0.02877,
          0.0209,
          0.02944,
          0.02293,
          0.02652,
          0.03613,
          0.009937,
          0.01111,
          0.04274,
          0.0226,
          0.02925,
          0.02386,
          0.01945,
          0.06495,
          0.02272,
          0.03264,
          0.02017,
          0.02068,
          0.01762,
          0.01043,
          0.01737,
          0.01777,
          0.0287,
          0.02833,
          0.0351,
          0.005769,
          0.05564,
          0.01514,
          0.02377,
          0.03221,
          0,
          0.01571,
          0.03078,
          0.03058,
          0.01339,
          0.01969,
          0.01527,
          0.0207,
          0.05266,
          0.0316,
          0.06211,
          0.04846,
          0.02791,
          0.03132,
          0.01261,
          0.04178,
          0.01149,
          0.01256,
          0.04951,
          0.05074,
          0.02369,
          0.06142,
          0.03279,
          0.05252,
          0.07038,
          0.02166,
          0.04268,
          0.04563,
          0.02639,
          0.02541,
          0.04349,
          0.02594,
          0.05303,
          0.02995,
          0.02421,
          0.005664,
          0.03783,
          0.02416,
          0.0151,
          0.03152,
          0.02647,
          0.06615,
          0.02798,
          0.0444,
          0.02157,
          0.0188,
          0.02788,
          0.04531,
          0,
          0.01364,
          0.02594,
          0.0389,
          0.03027,
          0.03275,
          0.02369,
          0.02443,
          0.005495,
          0.02438,
          0.009615,
          0.00816,
          0,
          0.02257,
          0.01499,
          0.01282,
          0.02343,
          0.02738,
          0.01116,
          0,
          0.03736,
          0.04105,
          0.04304,
          0,
          0
         ]
        },
        {
         "colorscale": [
          [
           0,
           "rgb(255,255,255)"
          ],
          [
           0.125,
           "rgb(240,240,240)"
          ],
          [
           0.25,
           "rgb(217,217,217)"
          ],
          [
           0.375,
           "rgb(189,189,189)"
          ],
          [
           0.5,
           "rgb(150,150,150)"
          ],
          [
           0.625,
           "rgb(115,115,115)"
          ],
          [
           0.75,
           "rgb(82,82,82)"
          ],
          [
           0.875,
           "rgb(37,37,37)"
          ],
          [
           1,
           "rgb(0,0,0)"
          ]
         ],
         "name": "separating hyperplane",
         "opacity": 0.5,
         "showlegend": true,
         "showscale": false,
         "type": "surface",
         "visible": "legendonly",
         "x": [
          0,
          0.29
         ],
         "y": [
          0.1,
          2.7
         ],
         "z": [
          [
           0.052,
           0.052
          ],
          [
           0.052,
           0.052
          ]
         ]
        }
       ],
       "layout": {
        "legend": {
         "title": {
          "text": "label"
         },
         "tracegroupgap": 0
        },
        "margin": {
         "t": 60
        },
        "scene": {
         "domain": {
          "x": [
           0,
           1
          ],
          "y": [
           0,
           1
          ]
         },
         "xaxis": {
          "title": {
           "text": "worst concave points"
          }
         },
         "yaxis": {
          "title": {
           "text": "radius error"
          }
         },
         "zaxis": {
          "title": {
           "text": "mean concave points"
          }
         }
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "fillpattern": {
             "fillmode": "overlay",
             "size": 10,
             "solidity": 0.2
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = px.scatter_3d(\n",
    "    Xy,\n",
    "    z='mean concave points',\n",
    "    y='radius error',\n",
    "    x='worst concave points',\n",
    "    color='label'\n",
    ")\n",
    "\n",
    "fig.update_traces(\n",
    "    marker={'size':2.5}\n",
    ")\n",
    "\n",
    "surface_z = [[0.052,0.052],[0.052,0.052]]\n",
    "surface_y = [0.1,2.7]\n",
    "surface_x = [0,0.29]\n",
    "\n",
    "fig.add_trace(\n",
    "    go.Surface(\n",
    "        x=surface_x,\n",
    "        y=surface_y,\n",
    "        z=surface_z,\n",
    "        opacity=0.5,\n",
    "        showscale=False,\n",
    "        colorscale='greys',\n",
    "        name='separating hyperplane',\n",
    "        showlegend=True,\n",
    "        visible='legendonly'\n",
    "    )\n",
    ")\n",
    "\n",
    "fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Train test split\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X_df,y_df,test_size=0.3,random_state=10,\n",
    "    stratify=y_df, shuffle=True\n",
    ")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Decision tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-3 {color: black;background-color: white;}#sk-container-id-3 pre{padding: 0;}#sk-container-id-3 div.sk-toggleable {background-color: white;}#sk-container-id-3 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-3 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-3 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-3 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-3 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-3 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-3 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-3 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-3 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-3 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-3 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-3 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-3 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-3 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-3 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-3 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-3 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-3 div.sk-item {position: relative;z-index: 1;}#sk-container-id-3 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-3 div.sk-item::before, #sk-container-id-3 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-3 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-3 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-3 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-3 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-3 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-3 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-3 div.sk-label-container {text-align: center;}#sk-container-id-3 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-3 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-3\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>DecisionTreeClassifier(criterion=&#x27;entropy&#x27;, max_depth=1, random_state=15)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" checked><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">DecisionTreeClassifier</label><div class=\"sk-toggleable__content\"><pre>DecisionTreeClassifier(criterion=&#x27;entropy&#x27;, max_depth=1, random_state=15)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "DecisionTreeClassifier(criterion='entropy', max_depth=1, random_state=15)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# We first build a shallow decision tree.\n",
    "TreeModel = DTC(criterion='entropy',max_depth=1,random_state=15)\n",
    "TreeModel.fit(X_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1400x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Splitting rules can be visualized by using plot_tree in sklearn\n",
    "plt.figure(figsize=(14,10))\n",
    "plot_tree(\n",
    "    TreeModel,\n",
    "    filled=True,\n",
    "    feature_names=['mean concave points', 'radius error', 'worst concave points'],\n",
    "    class_names=['benign','malignant']\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-4 {color: black;background-color: white;}#sk-container-id-4 pre{padding: 0;}#sk-container-id-4 div.sk-toggleable {background-color: white;}#sk-container-id-4 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-4 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-4 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-4 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-4 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-4 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-4 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-4 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-4 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-4 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-4 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-4 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-4 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-4 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-4 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-4 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-4 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-4 div.sk-item {position: relative;z-index: 1;}#sk-container-id-4 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-4 div.sk-item::before, #sk-container-id-4 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-4 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-4 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-4 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-4 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-4 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-4 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-4 div.sk-label-container {text-align: center;}#sk-container-id-4 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-4 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-4\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>GridSearchCV(cv=StratifiedKFold(n_splits=8, random_state=None, shuffle=False),\n",
       "             estimator=DecisionTreeClassifier(criterion=&#x27;entropy&#x27;),\n",
       "             param_grid={&#x27;max_depth&#x27;: array([1, 2, 3, 4, 5, 6, 7, 8, 9])},\n",
       "             scoring=&#x27;f1&#x27;)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-4\" type=\"checkbox\" ><label for=\"sk-estimator-id-4\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">GridSearchCV</label><div class=\"sk-toggleable__content\"><pre>GridSearchCV(cv=StratifiedKFold(n_splits=8, random_state=None, shuffle=False),\n",
       "             estimator=DecisionTreeClassifier(criterion=&#x27;entropy&#x27;),\n",
       "             param_grid={&#x27;max_depth&#x27;: array([1, 2, 3, 4, 5, 6, 7, 8, 9])},\n",
       "             scoring=&#x27;f1&#x27;)</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-5\" type=\"checkbox\" ><label for=\"sk-estimator-id-5\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">estimator: DecisionTreeClassifier</label><div class=\"sk-toggleable__content\"><pre>DecisionTreeClassifier(criterion=&#x27;entropy&#x27;)</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-6\" type=\"checkbox\" ><label for=\"sk-estimator-id-6\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">DecisionTreeClassifier</label><div class=\"sk-toggleable__content\"><pre>DecisionTreeClassifier(criterion=&#x27;entropy&#x27;)</pre></div></div></div></div></div></div></div></div></div></div>"
      ],
      "text/plain": [
       "GridSearchCV(cv=StratifiedKFold(n_splits=8, random_state=None, shuffle=False),\n",
       "             estimator=DecisionTreeClassifier(criterion='entropy'),\n",
       "             param_grid={'max_depth': array([1, 2, 3, 4, 5, 6, 7, 8, 9])},\n",
       "             scoring='f1')"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The `max_depth` parameter is important for decision tree.\n",
    "# We use `GridSearchCV` to select the best `max_depth`.\n",
    "\n",
    "parameters = {'max_depth':np.arange(start=1,stop=10,step=1)}\n",
    "stratifiedCV = StratifiedKFold(n_splits=8)\n",
    "TreeModel = DTC(criterion='entropy')\n",
    "BestTree = GridSearchCV(\n",
    "    TreeModel,\n",
    "    param_grid=parameters,\n",
    "    scoring='f1',\n",
    "    cv=stratifiedCV\n",
    ")\n",
    "BestTree.fit(X_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-5 {color: black;background-color: white;}#sk-container-id-5 pre{padding: 0;}#sk-container-id-5 div.sk-toggleable {background-color: white;}#sk-container-id-5 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-5 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-5 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-5 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-5 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-5 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-5 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-5 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-5 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-5 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-5 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-5 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-5 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-5 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-5 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-5 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-5 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-5 div.sk-item {position: relative;z-index: 1;}#sk-container-id-5 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-5 div.sk-item::before, #sk-container-id-5 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-5 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-5 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-5 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-5 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-5 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-5 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-5 div.sk-label-container {text-align: center;}#sk-container-id-5 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-5 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-5\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>DecisionTreeClassifier(criterion=&#x27;entropy&#x27;, max_depth=3)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-7\" type=\"checkbox\" checked><label for=\"sk-estimator-id-7\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">DecisionTreeClassifier</label><div class=\"sk-toggleable__content\"><pre>DecisionTreeClassifier(criterion=&#x27;entropy&#x27;, max_depth=3)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "DecisionTreeClassifier(criterion='entropy', max_depth=3)"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "BestTree.best_estimator_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9378725131220504"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "BestTree.best_score_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "F1 score on test set: 0.9273\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>col_0</th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>target</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>53</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5</td>\n",
       "      <td>102</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "col_0    0    1\n",
       "target         \n",
       "0       53   11\n",
       "1        5  102"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = BestTree.predict(X_test)\n",
    "print('F1 score on test set: {:.4f}'.format(f1_score(y_test,y_pred)))\n",
    "pd.crosstab(y_test,y_pred)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### XGBoost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "from xgboost import XGBClassifier as XGBC"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `xgboost` is a powerful and popular gradient boosting tree model. However, it requires careful tuning of parameters. Some of important parameters:\n",
    "* `n_estimators`: number of gradient boosted trees\n",
    "* `max_depth`: maximum tree depth for each gradient boosted trees\n",
    "* `learning_rate`: the $\\eta$ in lecture notes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting 8 folds for each of 252 candidates, totalling 2016 fits\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-6 {color: black;background-color: white;}#sk-container-id-6 pre{padding: 0;}#sk-container-id-6 div.sk-toggleable {background-color: white;}#sk-container-id-6 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-6 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-6 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-6 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-6 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-6 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-6 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-6 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-6 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-6 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-6 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-6 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-6 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-6 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-6 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-6 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-6 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-6 div.sk-item {position: relative;z-index: 1;}#sk-container-id-6 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-6 div.sk-item::before, #sk-container-id-6 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-6 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-6 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-6 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-6 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-6 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-6 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-6 div.sk-label-container {text-align: center;}#sk-container-id-6 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-6 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-6\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>GridSearchCV(cv=StratifiedKFold(n_splits=8, random_state=None, shuffle=False),\n",
       "             estimator=XGBClassifier(base_score=None, booster=None,\n",
       "                                     callbacks=None, colsample_bylevel=None,\n",
       "                                     colsample_bynode=None,\n",
       "                                     colsample_bytree=None,\n",
       "                                     early_stopping_rounds=None,\n",
       "                                     enable_categorical=False, eval_metric=None,\n",
       "                                     feature_types=None, gamma=None,\n",
       "                                     gpu_id=None, grow_policy=None,\n",
       "                                     importance_...\n",
       "                                     max_delta_step=None, max_depth=None,\n",
       "                                     max_leaves=None, min_child_weight=None,\n",
       "                                     missing=nan, monotone_constraints=None,\n",
       "                                     n_estimators=100, n_jobs=None,\n",
       "                                     num_parallel_tree=None, predictor=None,\n",
       "                                     random_state=None, ...),\n",
       "             n_jobs=-1,\n",
       "             param_grid={&#x27;learning_rate&#x27;: array([0.05, 0.1 , 0.15, 0.2 , 0.25, 0.3 , 0.35]),\n",
       "                         &#x27;max_depth&#x27;: array([2, 3, 4, 5]),\n",
       "                         &#x27;n_estimators&#x27;: array([ 2,  4,  6,  8, 10, 12, 14, 16, 18])},\n",
       "             scoring=&#x27;f1&#x27;, verbose=1)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-8\" type=\"checkbox\" ><label for=\"sk-estimator-id-8\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">GridSearchCV</label><div class=\"sk-toggleable__content\"><pre>GridSearchCV(cv=StratifiedKFold(n_splits=8, random_state=None, shuffle=False),\n",
       "             estimator=XGBClassifier(base_score=None, booster=None,\n",
       "                                     callbacks=None, colsample_bylevel=None,\n",
       "                                     colsample_bynode=None,\n",
       "                                     colsample_bytree=None,\n",
       "                                     early_stopping_rounds=None,\n",
       "                                     enable_categorical=False, eval_metric=None,\n",
       "                                     feature_types=None, gamma=None,\n",
       "                                     gpu_id=None, grow_policy=None,\n",
       "                                     importance_...\n",
       "                                     max_delta_step=None, max_depth=None,\n",
       "                                     max_leaves=None, min_child_weight=None,\n",
       "                                     missing=nan, monotone_constraints=None,\n",
       "                                     n_estimators=100, n_jobs=None,\n",
       "                                     num_parallel_tree=None, predictor=None,\n",
       "                                     random_state=None, ...),\n",
       "             n_jobs=-1,\n",
       "             param_grid={&#x27;learning_rate&#x27;: array([0.05, 0.1 , 0.15, 0.2 , 0.25, 0.3 , 0.35]),\n",
       "                         &#x27;max_depth&#x27;: array([2, 3, 4, 5]),\n",
       "                         &#x27;n_estimators&#x27;: array([ 2,  4,  6,  8, 10, 12, 14, 16, 18])},\n",
       "             scoring=&#x27;f1&#x27;, verbose=1)</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-9\" type=\"checkbox\" ><label for=\"sk-estimator-id-9\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">estimator: XGBClassifier</label><div class=\"sk-toggleable__content\"><pre>XGBClassifier(base_score=None, booster=None, callbacks=None,\n",
       "              colsample_bylevel=None, colsample_bynode=None,\n",
       "              colsample_bytree=None, early_stopping_rounds=None,\n",
       "              enable_categorical=False, eval_metric=None, feature_types=None,\n",
       "              gamma=None, gpu_id=None, grow_policy=None, importance_type=None,\n",
       "              interaction_constraints=None, learning_rate=None, max_bin=None,\n",
       "              max_cat_threshold=None, max_cat_to_onehot=None,\n",
       "              max_delta_step=None, max_depth=None, max_leaves=None,\n",
       "              min_child_weight=None, missing=nan, monotone_constraints=None,\n",
       "              n_estimators=100, n_jobs=None, num_parallel_tree=None,\n",
       "              predictor=None, random_state=None, ...)</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-10\" type=\"checkbox\" ><label for=\"sk-estimator-id-10\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">XGBClassifier</label><div class=\"sk-toggleable__content\"><pre>XGBClassifier(base_score=None, booster=None, callbacks=None,\n",
       "              colsample_bylevel=None, colsample_bynode=None,\n",
       "              colsample_bytree=None, early_stopping_rounds=None,\n",
       "              enable_categorical=False, eval_metric=None, feature_types=None,\n",
       "              gamma=None, gpu_id=None, grow_policy=None, importance_type=None,\n",
       "              interaction_constraints=None, learning_rate=None, max_bin=None,\n",
       "              max_cat_threshold=None, max_cat_to_onehot=None,\n",
       "              max_delta_step=None, max_depth=None, max_leaves=None,\n",
       "              min_child_weight=None, missing=nan, monotone_constraints=None,\n",
       "              n_estimators=100, n_jobs=None, num_parallel_tree=None,\n",
       "              predictor=None, random_state=None, ...)</pre></div></div></div></div></div></div></div></div></div></div>"
      ],
      "text/plain": [
       "GridSearchCV(cv=StratifiedKFold(n_splits=8, random_state=None, shuffle=False),\n",
       "             estimator=XGBClassifier(base_score=None, booster=None,\n",
       "                                     callbacks=None, colsample_bylevel=None,\n",
       "                                     colsample_bynode=None,\n",
       "                                     colsample_bytree=None,\n",
       "                                     early_stopping_rounds=None,\n",
       "                                     enable_categorical=False, eval_metric=None,\n",
       "                                     feature_types=None, gamma=None,\n",
       "                                     gpu_id=None, grow_policy=None,\n",
       "                                     importance_...\n",
       "                                     max_delta_step=None, max_depth=None,\n",
       "                                     max_leaves=None, min_child_weight=None,\n",
       "                                     missing=nan, monotone_constraints=None,\n",
       "                                     n_estimators=100, n_jobs=None,\n",
       "                                     num_parallel_tree=None, predictor=None,\n",
       "                                     random_state=None, ...),\n",
       "             n_jobs=-1,\n",
       "             param_grid={'learning_rate': array([0.05, 0.1 , 0.15, 0.2 , 0.25, 0.3 , 0.35]),\n",
       "                         'max_depth': array([2, 3, 4, 5]),\n",
       "                         'n_estimators': array([ 2,  4,  6,  8, 10, 12, 14, 16, 18])},\n",
       "             scoring='f1', verbose=1)"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "parameters = {\n",
    "    'n_estimators':np.arange(start=2,stop=20,step=2),\n",
    "    'max_depth':np.arange(start=2,stop=6,step=1),\n",
    "    'learning_rate':np.arange(start=0.05,stop=0.4,step=0.05)\n",
    "}\n",
    "stratifiedCV = StratifiedKFold(n_splits=8)\n",
    "# XGBC: XGBoost classifier\n",
    "XGBoostModel = XGBC()\n",
    "BestXGBoost = GridSearchCV(\n",
    "    XGBoostModel,\n",
    "    param_grid=parameters,\n",
    "    scoring='f1',\n",
    "    cv=stratifiedCV,\n",
    "    verbose=1,\n",
    "    n_jobs=-1 # use all cpu cores to speedup grid search\n",
    ")\n",
    "BestXGBoost.fit(X_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'learning_rate': 0.25, 'max_depth': 2, 'n_estimators': 4}"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "BestXGBoost.best_params_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9517362378861897"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "BestXGBoost.best_score_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 340,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "F1 score on test set: 0.9321\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>col_0</th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>target</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>53</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4</td>\n",
       "      <td>103</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "col_0    0    1\n",
       "target         \n",
       "0       53   11\n",
       "1        4  103"
      ]
     },
     "execution_count": 340,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = BestXGBoost.predict(X_test)\n",
    "print('F1 score on test set: {:.4f}'.format(f1_score(y_test,y_pred)))\n",
    "pd.crosstab(y_test,y_pred)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Linear SVM"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since our data seems to be linearly separable, we expect an SVM with the simple linear kernel can give us good results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Support Vector Classifier\n",
    "from sklearn.svm import SVC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting 8 folds for each of 4 candidates, totalling 32 fits\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-7 {color: black;background-color: white;}#sk-container-id-7 pre{padding: 0;}#sk-container-id-7 div.sk-toggleable {background-color: white;}#sk-container-id-7 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-7 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-7 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-7 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-7 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-7 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-7 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-7 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-7 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-7 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-7 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-7 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-7 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-7 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-7 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-7 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-7 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-7 div.sk-item {position: relative;z-index: 1;}#sk-container-id-7 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-7 div.sk-item::before, #sk-container-id-7 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-7 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-7 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-7 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-7 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-7 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-7 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-7 div.sk-label-container {text-align: center;}#sk-container-id-7 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-7 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-7\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>GridSearchCV(cv=StratifiedKFold(n_splits=8, random_state=None, shuffle=False),\n",
       "             estimator=SVC(kernel=&#x27;linear&#x27;), n_jobs=-1,\n",
       "             param_grid={&#x27;C&#x27;: array([ 1,  6, 11, 16])}, scoring=&#x27;f1&#x27;,\n",
       "             verbose=1)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item sk-dashed-wrapped\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-11\" type=\"checkbox\" ><label for=\"sk-estimator-id-11\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">GridSearchCV</label><div class=\"sk-toggleable__content\"><pre>GridSearchCV(cv=StratifiedKFold(n_splits=8, random_state=None, shuffle=False),\n",
       "             estimator=SVC(kernel=&#x27;linear&#x27;), n_jobs=-1,\n",
       "             param_grid={&#x27;C&#x27;: array([ 1,  6, 11, 16])}, scoring=&#x27;f1&#x27;,\n",
       "             verbose=1)</pre></div></div></div><div class=\"sk-parallel\"><div class=\"sk-parallel-item\"><div class=\"sk-item\"><div class=\"sk-label-container\"><div class=\"sk-label sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-12\" type=\"checkbox\" ><label for=\"sk-estimator-id-12\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">estimator: SVC</label><div class=\"sk-toggleable__content\"><pre>SVC(kernel=&#x27;linear&#x27;)</pre></div></div></div><div class=\"sk-serial\"><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-13\" type=\"checkbox\" ><label for=\"sk-estimator-id-13\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">SVC</label><div class=\"sk-toggleable__content\"><pre>SVC(kernel=&#x27;linear&#x27;)</pre></div></div></div></div></div></div></div></div></div></div>"
      ],
      "text/plain": [
       "GridSearchCV(cv=StratifiedKFold(n_splits=8, random_state=None, shuffle=False),\n",
       "             estimator=SVC(kernel='linear'), n_jobs=-1,\n",
       "             param_grid={'C': array([ 1,  6, 11, 16])}, scoring='f1',\n",
       "             verbose=1)"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 'C': strength of L2 regularization on linear SVM. Larger 'C' --> smaller regularization.\n",
    "parameters = {\n",
    "    'C':np.arange(start=1,stop=20,step=5)\n",
    "}\n",
    "stratifiedCV = StratifiedKFold(n_splits=8)\n",
    "SVCModel = SVC(kernel='linear')\n",
    "BestSVC = GridSearchCV(\n",
    "    SVCModel,\n",
    "    param_grid=parameters,\n",
    "    scoring='f1',\n",
    "    cv=stratifiedCV,\n",
    "    verbose=1,\n",
    "    n_jobs=-1\n",
    ")\n",
    "BestSVC.fit(X_train,y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-8 {color: black;background-color: white;}#sk-container-id-8 pre{padding: 0;}#sk-container-id-8 div.sk-toggleable {background-color: white;}#sk-container-id-8 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-8 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-8 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-8 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-8 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-8 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-8 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-8 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-8 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-8 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-8 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-8 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-8 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-8 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-8 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-8 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-8 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-8 div.sk-item {position: relative;z-index: 1;}#sk-container-id-8 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-8 div.sk-item::before, #sk-container-id-8 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-8 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-8 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-8 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-8 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-8 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-8 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-8 div.sk-label-container {text-align: center;}#sk-container-id-8 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-8 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-8\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>SVC(C=11, kernel=&#x27;linear&#x27;)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-14\" type=\"checkbox\" checked><label for=\"sk-estimator-id-14\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">SVC</label><div class=\"sk-toggleable__content\"><pre>SVC(C=11, kernel=&#x27;linear&#x27;)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "SVC(C=11, kernel='linear')"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "BestSVC.best_estimator_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9491590935792455"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "BestSVC.best_score_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "F1 score on test set: 0.9244\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>col_0</th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>target</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>50</td>\n",
       "      <td>14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3</td>\n",
       "      <td>104</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "col_0    0    1\n",
       "target         \n",
       "0       50   14\n",
       "1        3  104"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = BestSVC.predict(X_test)\n",
    "print('F1 score on test set: {:.4f}'.format(f1_score(y_test,y_pred)))\n",
    "pd.crosstab(y_test,y_pred)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An example of linearly non-separable data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate data\n",
    "r1,r2 = 0.1,2\n",
    "noise_level = .5\n",
    "sample_num = 1000\n",
    "theta = np.linspace(0,2*np.pi,num=sample_num)\n",
    "\n",
    "c1_x = r1*np.cos(theta)+np.random.normal(scale=noise_level,size=sample_num)\n",
    "c1_y = r1*np.sin(theta)+np.random.normal(scale=noise_level,size=sample_num)\n",
    "\n",
    "c2_x = r2*np.cos(theta)+np.random.normal(scale=noise_level,size=sample_num)\n",
    "c2_y = r2*np.sin(theta)+np.random.normal(scale=noise_level,size=sample_num)\n",
    "\n",
    "X = pd.DataFrame(\n",
    "    {\n",
    "        'x1':np.hstack([c1_x,c2_x]),\n",
    "        'x2':np.hstack([c1_y,c2_y])\n",
    "    }\n",
    ")\n",
    "y = pd.Series(\n",
    "    data=[0]*sample_num+[1]*sample_num,\n",
    "    name='label'\n",
    ")\n",
    "\n",
    "X_train,X_test,y_train,y_test = train_test_split(\n",
    "    X,y,random_state=9,shuffle=True,test_size=0.3\n",
    ")\n",
    "\n",
    "Xy_test = pd.concat([X_test,y_test],axis=1)\n",
    "Xy_test['label'] = Xy_test['label'].astype(str)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "hovertemplate": "label=0<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "0",
         "marker": {
          "color": "#636efa",
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "0",
         "orientation": "v",
         "showlegend": true,
         "type": "scatter",
         "x": [
          -0.19907919139746308,
          0.1322954607890312,
          -0.11181976644843417,
          1.2161660132710235,
          -0.3429860701469649,
          0.22305260173343316,
          -0.784014727545806,
          0.10659096717431134,
          1.0288065095722856,
          -0.22377715227350753,
          0.2896633524819163,
          -0.4112642442202904,
          -0.10715388269271563,
          0.1654995464559705,
          0.04956799296833819,
          0.36511352417817206,
          0.13042987725360966,
          1.0048475957858645,
          -0.4370351773210312,
          -0.2995685913728074,
          -0.13540129428067704,
          -0.9366832658556437,
          -0.5833641536623541,
          -0.3782248194202176,
          0.13125609273181554,
          0.17353715494187663,
          0.3213226610435037,
          0.9634232970282797,
          1.3135229568822748,
          -0.018658587442924035,
          0.2210337696839605,
          0.5065375598516173,
          -0.4733162726392428,
          -0.3388401388918002,
          0.3969076026079814,
          1.2120229946402894,
          0.5967669286965589,
          -0.946353776492931,
          -0.6056169494223168,
          0.14172332704325502,
          0.44025252271556276,
          0.0005928507604545247,
          -0.7940706854532569,
          0.21192366634840723,
          0.8149095075768225,
          -0.05199493581542798,
          -0.5180875741452886,
          -1.317738986123144,
          0.12037842786576926,
          0.74514422766251,
          -0.31503778369791563,
          -0.00189469296999778,
          0.7570091044591615,
          1.3551558555785017,
          -0.6339964502348415,
          -0.49008567381481455,
          1.1885327973824689,
          -0.14531918440565145,
          0.2684487920370873,
          -0.34525424811176375,
          0.10869873855842113,
          0.6231409158217567,
          -0.059548510018938496,
          -0.23751667286587919,
          -0.24502520453451382,
          -0.11557436447133158,
          0.7541440793569719,
          -0.2011259915815203,
          0.36201211455763693,
          0.16746711628439157,
          0.7082541213396861,
          0.5017192776369106,
          -0.3175157575728196,
          0.6298028667468023,
          0.4898545909522935,
          -0.05993312479098901,
          -0.2283789472740602,
          0.18266863540304745,
          0.331926112517347,
          0.37410708829040684,
          -0.6048125926667779,
          -0.22592131763324041,
          0.5313373768177536,
          -0.6260614556327057,
          -0.5117061338625019,
          -0.5435058755849399,
          -0.14367214891236957,
          0.7662155241070578,
          0.6433681214330742,
          0.2232306132648039,
          0.5809894016554942,
          -0.3233886243512595,
          0.08737497469169393,
          0.5835588826278372,
          1.0377227968169889,
          -0.823959176694629,
          0.18423606747673543,
          -0.5178243226762598,
          0.19393809489276523,
          -0.05035092366137591,
          0.7481215299814237,
          0.06201610126329335,
          -0.40275798178618993,
          0.4284800057577586,
          0.1053819568759109,
          -0.4160138009596356,
          0.10850680908216809,
          -0.19336203153300596,
          -0.8853655095770137,
          -0.06997302915531048,
          0.19082267101896255,
          -0.4088624883268571,
          -0.6943978106970096,
          -0.06868206938100248,
          0.3302528913741797,
          -0.49731630993648235,
          0.3757868929785175,
          0.5114311427909182,
          0.9482828329963269,
          -0.16679992317618816,
          -0.44110426393245833,
          0.2729522960279435,
          -0.025661034796783683,
          0.573343463739551,
          0.09660543549537758,
          -0.8511458073569258,
          -0.2107982998605533,
          0.1716399358514166,
          0.23978074766324492,
          -0.42294492593645844,
          1.0206619002821065,
          -0.5809880404306388,
          -0.43096273243998173,
          -0.17003777328525638,
          -0.448351999765027,
          -0.22993330234623682,
          0.5330993015020491,
          -0.8619865646410078,
          -0.2718215455977709,
          -0.2243488390565433,
          0.22649713589575565,
          0.6937404438038982,
          -0.1255680097443713,
          -0.5666351208896058,
          -0.432402932244764,
          -0.0008267459760732156,
          -0.015790811261035126,
          -0.7752129207629762,
          -0.013359477266450967,
          0.42149862263833854,
          0.13548107685648608,
          0.22652936290681808,
          0.03883681154062765,
          0.996035284712802,
          0.3164709716679287,
          -0.13281568518635045,
          0.18104537611509589,
          -0.09801921009110168,
          -0.46681390953361074,
          0.14985171054114943,
          0.14432082607281743,
          -0.8154270407355687,
          0.21801795447530675,
          0.09734412085086117,
          0.36136409141323084,
          0.8084177586669168,
          -0.8770937330805337,
          -0.8149991676844731,
          0.25710551195113485,
          0.350636880122824,
          0.37239533900214267,
          -0.5000469728244504,
          0.6263065451755744,
          -0.4253438739892775,
          0.22745843866456333,
          0.25749288220065686,
          0.5151440293847345,
          -0.007592806091623189,
          -0.3861779621308794,
          0.8936762178827662,
          0.5003873519183171,
          0.41616361347195263,
          -0.5265671101310532,
          0.4671463032804496,
          0.13619772018186221,
          0.02306595429644371,
          -0.5357268032756213,
          -0.13931271465484446,
          0.8022717728742715,
          0.3342844996321778,
          -1.3700304739784497,
          0.36397986554306655,
          -0.10462309225658142,
          -0.21105056890857404,
          -0.06059932268366912,
          -0.6173296834032321,
          0.5477782199289895,
          0.8106540718621761,
          -0.722585158015875,
          -0.3085598928863393,
          -0.3102132548344842,
          0.26550039195070396,
          0.11029039125135177,
          0.06341886451184228,
          -0.07844632999433362,
          0.4779705543753368,
          -0.0021992470876829803,
          1.3775557279028352,
          0.44312270971564455,
          0.4532753151089908,
          -1.076567437798459,
          0.38395411117305495,
          -0.11899249318591686,
          -0.6678223660976945,
          0.294285864247223,
          0.044921333622868424,
          -0.5626894117810274,
          0.5789380604819077,
          -0.3428079783501512,
          -0.34480373378124446,
          -0.15271711104838742,
          -0.579720633823066,
          -0.0761315443437992,
          0.27371965977462,
          -0.3573288947799758,
          -0.4343382279867491,
          0.14340999998190745,
          -0.15615006692577163,
          -1.2904882585220878,
          0.9109761559861267,
          -0.5759351897260311,
          0.4884250483549508,
          0.39594215554199674,
          0.6536802677663524,
          0.07996091957124059,
          -0.1537910712861464,
          -0.8286675475458622,
          0.4478486527711405,
          -0.4942884793961875,
          0.724691378496465,
          -1.0323080828155342,
          -0.5253100221891367,
          0.5402018551956154,
          -0.5937890735796798,
          -0.40226505937999574,
          0.28919864611225365,
          -0.5503712170692341,
          0.821181040575347,
          -0.7565214459663111,
          0.9923649013682478,
          -0.1590657080949345,
          -0.4524494433370847,
          0.25054906616274286,
          -0.8020895839523046,
          -0.19997347921454633,
          -0.44940409462846875,
          0.4236013789445714,
          0.37548748760459155,
          -0.8232255822532358,
          0.5327937832925008,
          0.26557115563601824,
          -0.7610425102278291,
          -0.5542679881536583,
          -0.5612654468773459,
          0.26672790273225755,
          1.0270097521855812,
          0.15594137771044306,
          1.0307584431565335,
          -0.498066531601453,
          0.4027912115633624,
          -0.7019945914542038,
          -0.5561128331454888,
          0.03005284287795296,
          0.33469535243989856,
          -0.09155264134501143,
          -0.5863517179366947,
          -0.9628011068049607,
          -0.24865332979929045,
          -0.4021110413944353,
          0.6524334105765499,
          0.0646018484089699,
          -1.1871188571597524,
          -0.5702945547570273,
          -0.19890991122218232,
          0.47669022740214767,
          -0.25666100652075163,
          -0.1960463678435741,
          0.5881095786989503,
          0.10992151650816294,
          -0.35093905644183565,
          -0.22944577603086824,
          0.983961549017558,
          -0.22979246056183128,
          -0.06880377700989147,
          0.07938372953596493,
          0.2007272548466714
         ],
         "xaxis": "x",
         "y": [
          0.11003251539051036,
          0.03044516752349187,
          0.2359746720688815,
          0.3475378038625893,
          -0.3577040992857995,
          -0.03582110800885659,
          0.5543406488719718,
          -0.12216873499619336,
          -0.3629374303837596,
          0.2065054674146787,
          0.14410972475952805,
          0.37954729314821034,
          0.025046961483818832,
          0.6377825232314078,
          0.2936822910228181,
          -0.0950852795928783,
          -0.20005328026718075,
          -0.5395724187320632,
          0.08514220027145841,
          -0.6868758191934142,
          -0.0690372256298451,
          -0.29435160429558915,
          0.7203526057015783,
          0.4365964143695256,
          0.35799684556930367,
          0.6628842533539527,
          0.011149122226206912,
          -0.46085487875511344,
          -0.4170964736905659,
          -0.6075054633316931,
          0.1119700280053812,
          0.5917837116349872,
          -0.00538281052849475,
          -0.4909860973484518,
          0.03790073041803833,
          -0.29866834909259615,
          -1.0461460138839214,
          0.18235146343536274,
          -0.8556458487887977,
          0.9958121750957198,
          0.1656200607315031,
          -0.15864546835373763,
          -0.19621822032744135,
          0.005495372525217507,
          -0.12654332627613574,
          -0.5355180995721426,
          -0.18487895839476937,
          0.8821649926824079,
          0.06955972611510945,
          0.19553729902729744,
          -0.39042064454099606,
          0.33092568112493914,
          0.09763564519350536,
          0.48563074842327664,
          -0.06379279121927275,
          0.08405819978815096,
          -0.5216036560053215,
          -0.9388451460341123,
          0.11919059297694097,
          0.9053860932706144,
          -0.137500909700347,
          0.424260103405385,
          0.09970901420803105,
          -0.31603281030916275,
          0.6114752781864388,
          -0.3613635277816051,
          -0.4674887902830819,
          -0.16224699513104449,
          0.06758823311336379,
          0.3581209756659392,
          -0.25435333011999434,
          0.6147428182937036,
          0.252847975612938,
          0.9472778416715602,
          -0.38391270025607344,
          -0.01237077927035568,
          0.08787017011430565,
          -0.9190687611547398,
          0.2415969592688776,
          -0.2738552904934617,
          0.28310553837364816,
          -0.4590917452577626,
          0.09963165524311567,
          0.10634820355151797,
          0.6994233697929381,
          0.5517038075350604,
          -0.4310913776641251,
          -0.1657371648457404,
          -0.2292799785044729,
          0.07214032368069838,
          -0.3613744438545744,
          -0.20782300776428014,
          -0.17986897982266925,
          -0.19374477899640336,
          0.1696403674470744,
          0.1588763012089673,
          0.40909460083772564,
          0.2562914874355333,
          -0.26810357590631745,
          -0.4301251367430981,
          -0.22226694497712765,
          0.11007117037472947,
          -0.5102254088791398,
          0.3413956732516022,
          0.40017518170791405,
          0.20354339497278634,
          1.8054934226963117,
          0.032178219694061705,
          0.3375626464503053,
          -1.2832653192377417,
          -0.10559948210926696,
          -0.44232032763368634,
          -0.23364642153843812,
          0.42412664361400354,
          0.4156300252034059,
          0.2174107832858093,
          0.4255927683762959,
          -0.7003360750779526,
          0.6875267786098994,
          1.3745685063160695,
          0.12595657304197444,
          -0.41953104258351676,
          -0.31309414749496994,
          -0.1805704122032663,
          0.8162461806823834,
          0.7265524478560843,
          -0.0726072398456906,
          0.32238932771673956,
          0.5880942952129316,
          -0.41636676428324115,
          0.3413680954665451,
          -0.2256238770470152,
          0.5727702437017367,
          -0.7691610787502954,
          -0.37969811142333704,
          -0.10349991216219545,
          -0.3808173402960922,
          1.424689507006326,
          -0.10658590062269536,
          0.08407082423781137,
          -0.713240742360737,
          -0.18934982396726882,
          -0.36071828621488244,
          0.10286187919612846,
          -0.3865394775317237,
          -0.18301818760550512,
          -0.047558443493574146,
          0.391184602330395,
          0.4124026155886694,
          -0.08063850188607251,
          0.012650223081620879,
          0.3594744167529408,
          -0.41919517888542285,
          -0.1516346041419327,
          0.08038666533228025,
          -0.746995716223274,
          0.38583622477109747,
          0.1356453032187684,
          -0.02327741446210456,
          -0.36057850261347235,
          -0.3152426403083225,
          -0.5477949269785313,
          0.3592474419116588,
          -0.31468746421257116,
          -0.09600822365754604,
          0.16104274356014175,
          0.1005866570827027,
          0.5033731388927954,
          -0.574867427931736,
          -0.05235463686583308,
          0.2625282136249597,
          0.10859166412724713,
          -0.5655753111541125,
          -0.4882623657476247,
          -1.043750242429556,
          0.24498490133695183,
          -0.4205279464104974,
          -0.6195271446748787,
          0.4650919827993979,
          -0.13591529202399755,
          -0.10248026089651982,
          -0.03676472867287724,
          -0.4241227127781383,
          -0.5648089666386795,
          -0.3792721093241401,
          0.3295806725484686,
          -0.15769306486705026,
          -0.8162753130082538,
          0.9520123247562159,
          -0.3023858316805087,
          -0.39088560471683054,
          -0.2592797864389562,
          0.16408692537178915,
          -0.041019957014283445,
          -0.016845066714441553,
          0.08436284476490358,
          0.19018769483715844,
          0.07546865970737654,
          -0.4858167022614739,
          0.5611796679395644,
          -0.5851371491216961,
          0.44974799101616103,
          -0.2610766671900409,
          0.13535977043042988,
          -0.45089889155387336,
          0.6187122325364991,
          -0.870071861042225,
          0.5713328023658393,
          0.2665641690877568,
          0.35831087671731543,
          -0.1701438936538676,
          -0.5169928309978344,
          -0.18820416658559422,
          0.8801125429018204,
          -0.2145684235826026,
          -0.156675843666778,
          -0.25936614477303965,
          0.45911302318739433,
          -0.17382288909221305,
          -0.11975139867641638,
          0.52817593639692,
          -0.08784027971657951,
          -0.013446822218015159,
          0.0551454154388436,
          -0.3795547145958586,
          0.1767938193916054,
          -0.29248010049928375,
          0.6872085636687122,
          -0.5989156877113765,
          0.5396657963437477,
          1.2809567976341765,
          -0.4435659944665034,
          -0.2706428097211072,
          0.4478377556728827,
          -0.4420652416119201,
          1.1717262067206655,
          0.5444087697308735,
          0.5500542326468046,
          -0.14861991309192496,
          0.7864113764261401,
          -0.3336480833248576,
          0.5455309924259668,
          -0.6770891796971686,
          0.4879877725576626,
          0.08338261080547874,
          0.38313263881942444,
          -0.32018741336881856,
          -0.5719099222081838,
          -0.5286010499902342,
          0.5363906280582116,
          0.3571286524976465,
          0.3867030474385279,
          0.0377365897255423,
          -0.7539311680781567,
          -0.6653518703390239,
          0.9335955400322155,
          0.4086137830157818,
          -0.580348669293716,
          -0.24324200327492068,
          0.15833620082910466,
          -0.8708191025016165,
          0.2401403600096268,
          -0.18568056122019722,
          0.08250232046514958,
          -0.7033730866892036,
          0.004264013103378025,
          -0.3997859609165378,
          -0.38223804323734145,
          0.8888674547872479,
          -0.3855606394054821,
          -0.04032917937096479,
          -0.8627307077262056,
          -0.2338942204133852,
          0.8343065868698916,
          -0.3986209218178325,
          0.8208930885080884,
          0.3890822330637158,
          1.4663962191777553,
          -0.016098278786972856,
          -0.21182140778859165,
          0.12365936613387879,
          0.13445389778293038,
          -0.47267523144101564,
          0.21476000429559894,
          -0.32111941959076196,
          -0.9659217728249473,
          -0.2630151846036066,
          -0.08556618302813754,
          0.3734416346618563,
          -0.10937194607621714,
          0.06476232981598218,
          0.2507001178521988,
          0.4058709239059738,
          0.2682497145228539,
          0.22961848380908895,
          -0.15242813992570736
         ],
         "yaxis": "y"
        },
        {
         "hovertemplate": "label=1<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "1",
         "marker": {
          "color": "#EF553B",
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "1",
         "orientation": "v",
         "showlegend": true,
         "type": "scatter",
         "x": [
          -0.039012228621638556,
          1.7276528994837215,
          -0.5650523897221454,
          -2.249362917154692,
          1.6413171507303252,
          -1.3770189311371306,
          -0.296093420990276,
          0.15073577634709934,
          0.6781951359852729,
          0.10243448324884358,
          -0.5115861500565647,
          0.06740714015227128,
          1.8977088390818109,
          0.9666170125365425,
          0.9576444918066123,
          0.6738957004083234,
          1.4813809036042875,
          1.6705879464651077,
          0.8443832468605038,
          -1.4891123235933217,
          1.6780356897303315,
          1.0143841881282976,
          -1.5266005698192522,
          1.4790177769847683,
          -2.111173856824941,
          -2.45719976236168,
          0.6700436133746195,
          -1.1451201404695697,
          1.7018677049581763,
          -2.786817401529107,
          -2.37191472682986,
          0.2498524215715209,
          -0.7206813814261095,
          -0.4749576610112778,
          -0.9812484347082041,
          -0.19729058252265713,
          1.0604086412359106,
          1.2575443130102761,
          -0.1515361457231683,
          -2.3178243620607764,
          0.24865644387017843,
          -1.3957221050685071,
          0.8873912687847187,
          1.4866702814982073,
          1.4706665288918563,
          -1.3002353333706733,
          -0.27371574869431936,
          1.5951879603038799,
          1.3317876156630506,
          -1.3100898996505488,
          -1.8643684806697078,
          0.4183717235955538,
          0.9852872747373254,
          -0.6697559738844827,
          -0.30419818374529395,
          -1.8305842471623377,
          2.0261522749946512,
          -1.3099189634734247,
          -1.736022840719857,
          0.6600606791709478,
          0.0009613026386510182,
          -2.0384795366261144,
          -0.8339268036631897,
          1.2699455362334993,
          -0.9352823556092318,
          -1.6720861666505369,
          -1.1963970233678258,
          1.1634498977557974,
          2.138369327897423,
          1.391197643504184,
          0.684930946001159,
          -0.5072953507724862,
          -0.7629961471951947,
          -0.2194971556915996,
          0.3193220022808527,
          0.24245008036108884,
          1.6306169847633485,
          -1.8239243484005896,
          0.9409659294156225,
          1.7713350796680922,
          -2.0467138634718665,
          0.044845547385124696,
          -0.9171516962874895,
          -1.0342599593275121,
          0.7868601090977789,
          -0.9791405579914779,
          -1.0902450771699181,
          2.0482994359864026,
          0.2750750045994035,
          -1.583534576810572,
          -0.5816875454510945,
          -2.4832340130524155,
          2.2628376534196195,
          -1.2424967956095263,
          1.5122826106916527,
          0.9674255636284128,
          2.532963332194703,
          1.6419226620070706,
          -1.3323249655104556,
          1.7739244007503854,
          -1.794577546171197,
          1.2623668282695362,
          -1.7239584184775925,
          -0.434879492685904,
          -0.8699208019822325,
          1.785717422729617,
          -0.967825665622436,
          -1.8034936557791315,
          1.4871761023443666,
          1.6649810982721225,
          -1.0600173289866262,
          -1.1430681781397942,
          -2.317981941417777,
          -1.5137434125472686,
          -1.769422004330432,
          1.052030188896767,
          -0.6170532121451161,
          2.4811104303063543,
          -2.163347034213621,
          -2.238411177748033,
          -2.5409546279037807,
          -0.9638549634949845,
          -1.5731894425342854,
          -0.17416518477141366,
          1.604923525748615,
          -1.378616092471509,
          -0.40761866274880176,
          1.5267123065328787,
          -1.594546628840702,
          -1.832083340228563,
          1.413201091813646,
          -2.5697706752567586,
          -1.0699098418642783,
          0.9264928523527237,
          -0.16181946814755863,
          -2.020695630701857,
          -2.6567747300475455,
          -2.0604272065033875,
          -2.447455840720609,
          1.7741945251476439,
          -1.633555526422096,
          0.07786995803184699,
          -2.112846691061212,
          2.2801966213107394,
          -1.6950348859628832,
          -2.1401011609434257,
          -2.5947364989486754,
          1.6809109011293846,
          2.9485870555849933,
          -1.595142116356145,
          2.6890839527222,
          -2.5138780239932403,
          -1.5335040190367428,
          -1.4764863506984505,
          -1.6688321334027423,
          2.2505273393595964,
          -0.5746892643367882,
          -0.6325607975783097,
          -2.087700491629842,
          0.5269590806328275,
          -1.3055402526103397,
          0.3756614251905466,
          -0.03635484721351495,
          2.586559428557186,
          -1.0272977082323689,
          1.5416463961032032,
          0.983449556375763,
          -0.4793083193499349,
          -0.7296048904319005,
          -1.7426886364240939,
          1.2319277850955994,
          -0.6288274525736688,
          -1.7481173978358417,
          -0.08216198786968884,
          1.8465522766374558,
          0.3933236559204593,
          -1.3856036919954056,
          -2.820148602061482,
          -2.212293219041369,
          -1.9040290848479127,
          -0.6409220200796886,
          1.5943148728746532,
          0.49326940205983805,
          -0.23945561774099522,
          0.5394755444316203,
          1.9097291960583431,
          -1.8025648992773886,
          -2.009306269738481,
          -0.443012283655355,
          -0.994202047084523,
          -2.4470531620485514,
          0.02697710258525965,
          -0.4895084369136866,
          1.1329559116113566,
          1.2308961785554993,
          1.632654912113028,
          1.7490773959226944,
          1.3010720302148076,
          0.4306819576811415,
          0.8439748706730466,
          1.394094468508074,
          1.4935143316335835,
          -1.9213966136240543,
          -1.7106022418347404,
          0.5930844232058915,
          -1.2454008553438325,
          1.218823322938861,
          1.9815961730492684,
          3.228176388127757,
          1.5359929797182093,
          1.8845133512493086,
          -0.5557330818175675,
          1.7632582380803679,
          0.0007733801339351865,
          -1.7668228761266869,
          -1.210982895634066,
          1.9320317117879384,
          1.2136588990207353,
          -0.920409508081902,
          -0.6795787146003736,
          -0.8904218019676812,
          -0.3032294146780732,
          -0.6723889870614824,
          0.5917441005469325,
          1.0022759643525458,
          -0.5839378209383043,
          0.5282045883276957,
          0.029861177464618416,
          -1.1387516485658002,
          0.9234337922504167,
          -1.78110701315727,
          -0.6633358519884783,
          2.0280977882083,
          -0.3398696526708901,
          0.6396932989618966,
          1.212857367517696,
          1.8444648600403517,
          -1.8037162173375871,
          0.8369217951544439,
          1.8080254709179095,
          0.1454159574937285,
          -0.98848616309659,
          0.00019727273391001443,
          0.6408562580688969,
          -1.1693742005549763,
          -0.1305882866216287,
          -0.9196552187214048,
          -0.19425150241522116,
          1.2667482065171338,
          -2.5434891048823633,
          -0.5511304338007317,
          0.9500261955151671,
          1.5317691143632406,
          0.9834306458471885,
          2.19456573507106,
          0.2592135053754172,
          -1.9953804407674363,
          -2.0274115716939747,
          2.769699134651015,
          2.57343757736877,
          1.9238110975335907,
          -1.7360994850221456,
          0.9430028228643197,
          2.470494864974878,
          -0.7043959092679235,
          -0.04681072388784696,
          0.22039795085590752,
          0.41810351002712987,
          1.4949106795039395,
          -0.75871188300168,
          0.4821487543704097,
          -0.9825591841939711,
          -1.3475768517591231,
          1.9080804080384226,
          0.05340311599237002,
          -1.0379958569532548,
          -1.9537887798680154,
          -1.2800741060989056,
          2.131856776763106,
          1.237946384759997,
          -2.1452515746998535,
          0.8068873026933328,
          -1.4054538629438837,
          -0.46816098511190196,
          -1.4139230691504139,
          1.1722520728860193,
          1.8026138794093534,
          -1.1963012868950216,
          1.2546986467018564,
          0.26297520019243426,
          0.6796982766190642,
          -1.2591560328393163,
          -2.8201929344566774,
          0.3741739402192743,
          0.4459302452970386,
          0.7629285279694065,
          -1.8084235550318297,
          -1.315359964237099,
          2.1213041976348106,
          -1.658127072424907,
          -0.40486372248966396,
          -0.9162191147082366,
          -1.579535620326612,
          1.4843965725584436
         ],
         "xaxis": "x",
         "y": [
          -2.16904330589025,
          -0.979863148407186,
          1.2446528215228985,
          -0.1043716359557505,
          -1.401141426541061,
          -0.11002701376295976,
          1.6899267041126182,
          1.9012104289032337,
          1.4468726675455834,
          2.2218434720787874,
          -1.3435598015634538,
          -1.6657129212518609,
          -0.18856141871140558,
          -0.8636988703414736,
          1.060812861738163,
          -1.9888028427317452,
          1.2387101739842397,
          0.5746924267781698,
          -2.228380923958223,
          -2.141868053380491,
          -1.7332029553962336,
          1.7006642321079617,
          0.6970329683023891,
          -0.4288737153590226,
          -1.1397234113283687,
          -0.06963362562398537,
          2.2039480957035904,
          -1.869320391034658,
          -1.7211635858794785,
          1.2662924661718284,
          0.08212858620258784,
          -1.8796476413534922,
          2.2613330427664287,
          -1.5791513447494117,
          -1.521001910765991,
          -1.5132776028478125,
          -1.8498551068603781,
          -0.8781162045373915,
          1.276664182177821,
          0.5674232242016444,
          2.7365411443186556,
          -0.5924278516373113,
          2.7404407305117173,
          -0.658570192238938,
          -0.6320762054234034,
          -2.0922601552796687,
          -1.6409393756239676,
          0.8744659346424593,
          -1.784230307673987,
          -2.3895886564274362,
          -0.8346249100243124,
          -1.3852394096482628,
          2.1783078470797888,
          -1.9885609996880609,
          -2.1689297952761732,
          -2.410385945462777,
          -2.3183579630108175,
          -1.8004949676825657,
          1.368084296603281,
          -1.076930170949463,
          1.7204834559342979,
          0.9892695545124246,
          -0.314612169432015,
          1.6874312404626362,
          2.218056248564923,
          0.11232847191140416,
          2.128118641690072,
          -1.5929899899517452,
          -0.39688530178995135,
          -1.3261513462639531,
          1.9783080587055382,
          1.658423362376177,
          2.3830768768126527,
          2.207899050557031,
          -1.6684695211278875,
          -2.3156341824882767,
          -1.5927161633249818,
          -0.9836362606323643,
          -2.265286901113978,
          0.9054814560929645,
          -1.122469472654072,
          0.8486921313526852,
          -2.0207341291098175,
          1.1096308380192954,
          2.36033523534076,
          -0.363102551645655,
          -1.1032161510540566,
          -0.04194125062322396,
          -2.2833930677586673,
          -1.0056254652698828,
          1.8605708743223066,
          0.792786114437663,
          -1.350693787954316,
          -0.3379422132356826,
          -2.105753603664111,
          -1.7730050759592535,
          2.1825241187952367,
          1.3851165737691682,
          -0.3717611614852513,
          -1.550665861896647,
          -0.8657010422947921,
          0.7152811900276704,
          -1.9697827069999172,
          -2.515613756399137,
          -0.8833993861522591,
          0.6509585272970435,
          1.7349243986060976,
          -1.8433819818885497,
          -2.130131182105103,
          1.1884121410572037,
          -0.9855950137559277,
          -0.5602973788188673,
          2.1186293569080568,
          -0.35379856725858927,
          -0.8762163935586291,
          1.6677459127435783,
          -1.6952461737782005,
          -0.4590852670151984,
          0.12806578492599754,
          -1.1036921409316196,
          0.7698389355046773,
          2.1046921192701364,
          -0.8286615119372713,
          2.1510833140824133,
          1.6636407595129046,
          1.79816435121025,
          2.2595834111710174,
          -0.9258795841028562,
          1.1505375801967226,
          -0.7578087009937673,
          2.068642534034289,
          -0.3157087146380313,
          1.949656257343563,
          -2.2871355716127155,
          1.3898007800719616,
          0.2889507336028134,
          -0.4390293840208738,
          2.3535027316182977,
          0.8735357274687727,
          0.5228718928100047,
          -0.5474808525751577,
          1.850672544252722,
          -1.0323408439360744,
          0.4222871226513388,
          1.2920438575519506,
          -0.658008053059925,
          -1.5518241318192807,
          -0.05936959540150255,
          -0.07925828589510384,
          -0.016888173696085418,
          0.2479928597060801,
          -0.8244333447850286,
          -1.5449598140476253,
          1.1096895643400895,
          0.8355031965767715,
          -1.8753145783049798,
          -1.6930018339231057,
          1.0587074672570518,
          1.250648873078005,
          -2.683680343493281,
          -1.1948519461763358,
          2.2432598042632956,
          2.0883291053145396,
          -1.6639989696593838,
          2.4538176465201533,
          -1.2547348624200494,
          1.3632932057385385,
          1.1416852318988469,
          -2.174600681312596,
          0.8440664525264151,
          1.146116876624397,
          -1.916907408744093,
          -1.7159863155101263,
          2.5991822054677476,
          -0.16298802666596113,
          1.9308773593055797,
          -0.797116710416836,
          -1.5137160839654367,
          1.2071223235984379,
          -0.6910609570393975,
          1.6073734234654387,
          1.007145277167506,
          -1.8467390608301282,
          1.9527098044099784,
          -0.6880286289691574,
          0.2263020300531856,
          0.622946361571823,
          -0.2687601219608679,
          -2.1206474521856498,
          1.8286348889961757,
          -0.2094318237319412,
          -1.8043849300946921,
          1.9391409312551091,
          1.8027833667238615,
          -1.5440887714520333,
          1.010673960389165,
          1.3755457019177006,
          0.5165600071444345,
          -1.928792523328538,
          2.319888660312667,
          2.6073534784119183,
          1.2047896925560644,
          1.8582001513434383,
          -1.949628212934355,
          0.9096299508768115,
          -1.324600997025448,
          1.7430295595452,
          0.7254704840730736,
          -0.784593368271266,
          -0.27515323887241855,
          -0.5816627035584205,
          2.6313516206515866,
          -2.320519361683289,
          2.410095112495973,
          -1.3676813200699063,
          0.1370753713156796,
          -1.8989215349373954,
          0.5119598742143259,
          2.4120346898901546,
          -0.012273003605088373,
          -1.2196393760335424,
          1.4834263529147513,
          -1.7586720033860324,
          0.7761540086382996,
          1.0911483868342127,
          -1.3251398582668052,
          1.706955877465254,
          2.6514442455768483,
          -2.0483103015910538,
          -1.8342651771953444,
          -0.7185148708936029,
          -2.0867424215958237,
          -1.0125307680837334,
          -1.9816571287953453,
          -1.4873792195191746,
          -2.013727921255767,
          -0.5483371963998606,
          -0.8892989616639932,
          -2.0795795378665543,
          0.8869515820791178,
          1.3377348650228187,
          -1.6202906358096318,
          2.2502742100406836,
          -1.9843492098761997,
          2.0028196206058477,
          -0.8432371144056596,
          -1.5779989225956932,
          -2.4165164384633644,
          -0.9242191407242372,
          0.21766763103034736,
          1.1773511637888658,
          -1.633522672286063,
          0.07894717336958257,
          -2.147782466367344,
          0.05524925187557722,
          -1.6659622607415332,
          0.45620284566591063,
          1.276100148112069,
          0.6727314300738939,
          -0.1883863913309789,
          -0.4417112467333083,
          1.2590988104526082,
          -1.3967796370860088,
          -0.05270963091396702,
          1.0762405107071866,
          -1.9922918448178628,
          1.8355444235507627,
          -1.7235998761669689,
          -1.0951879541519534,
          -0.6157593226014437,
          -2.045492510601244,
          2.1637063817624975,
          -1.4899745496226962,
          -2.779567764650759,
          1.0892825114118507,
          -1.1917333103033079,
          0.4376835751572467,
          1.9089423505954124,
          1.0414746221213156,
          1.7339554730263023,
          -0.21793937075418648,
          2.1226735275935487,
          1.559804897508855,
          2.3606971027750148,
          -0.5602496541579444,
          1.2183276329002186,
          0.22675721621171585,
          0.6702100485736949,
          2.1236228238949852,
          2.8614559453211887,
          2.4076800234155753,
          -2.6005922004684328,
          -0.24692708771022134,
          0.6785617076867003,
          -1.0367945896851665,
          -2.0007515610400515,
          1.5104652262675335,
          1.9311550747187827,
          0.2585561529706566,
          1.2052171567619516,
          -2.0223461933000335,
          2.1559357899923555,
          0.35113095249010945,
          1.769167045220141
         ],
         "yaxis": "y"
        }
       ],
       "layout": {
        "legend": {
         "title": {
          "text": "label"
         },
         "tracegroupgap": 0
        },
        "margin": {
         "t": 60
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "fillpattern": {
             "fillmode": "overlay",
             "size": 10,
             "solidity": 0.2
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "xaxis": {
         "anchor": "y",
         "domain": [
          0,
          1
         ],
         "title": {
          "text": "x1"
         }
        },
        "yaxis": {
         "anchor": "x",
         "domain": [
          0,
          1
         ],
         "scaleanchor": "x",
         "scaleratio": 1,
         "title": {
          "text": "x2"
         }
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = px.scatter(\n",
    "    Xy_test,\n",
    "    x='x1',\n",
    "    y='x2',\n",
    "    color='label'\n",
    ")\n",
    "\n",
    "fig.update_yaxes(\n",
    "    scaleanchor='x',\n",
    "    scaleratio=1\n",
    ")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The failure of linear models"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above data is clearly not linearly separable, i.e. you cannot use a line to separate the two classes. Linear models we learned in this course, e.g. logistic regression and SVM with linear kernel, cannot handle such data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For LR cross validation F1 score is 0.5076\n",
      "For SVM_linear cross validation F1 score is 0.4953\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression as LR\n",
    "\n",
    "linear_models = {\n",
    "    'LR':LR(),\n",
    "    'SVM_linear':SVC(kernel='linear')\n",
    "}\n",
    "\n",
    "stratifiedCV = StratifiedKFold(n_splits=8)\n",
    "\n",
    "\n",
    "params = {\n",
    "    'LR':{\n",
    "        'C':np.arange(0.5,20,step=1)\n",
    "    },\n",
    "    'SVM_linear':{\n",
    "        'C':np.arange(0.5,20,step=1)\n",
    "    }\n",
    "}\n",
    "\n",
    "records = {}\n",
    "\n",
    "for model in linear_models:\n",
    "    BestParams = GridSearchCV(\n",
    "        linear_models[model],\n",
    "        param_grid = params[model],\n",
    "        scoring='f1',\n",
    "        cv=stratifiedCV,\n",
    "        n_jobs=-1 # Use all cpu cores to speed-up CV search\n",
    "    )\n",
    "    BestParams.fit(X_train,y_train)\n",
    "    records[model] = BestParams\n",
    "    Xy_test[model] = BestParams.predict(X_test).astype(str)\n",
    "    print('For {} cross validation F1 score is {:.4f}'.format(model,BestParams.best_score_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "hovertemplate": "value=0<br>variable=label<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "0",
         "marker": {
          "color": "#636efa",
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "0",
         "showlegend": true,
         "type": "scattergl",
         "x": [
          -0.19907919139746308,
          0.1322954607890312,
          -0.11181976644843417,
          1.2161660132710235,
          -0.3429860701469649,
          0.22305260173343316,
          -0.784014727545806,
          0.10659096717431134,
          1.0288065095722856,
          -0.22377715227350753,
          0.2896633524819163,
          -0.4112642442202904,
          -0.10715388269271563,
          0.1654995464559705,
          0.04956799296833819,
          0.36511352417817206,
          0.13042987725360966,
          1.0048475957858645,
          -0.4370351773210312,
          -0.2995685913728074,
          -0.13540129428067704,
          -0.9366832658556437,
          -0.5833641536623541,
          -0.3782248194202176,
          0.13125609273181554,
          0.17353715494187663,
          0.3213226610435037,
          0.9634232970282797,
          1.3135229568822748,
          -0.018658587442924035,
          0.2210337696839605,
          0.5065375598516173,
          -0.4733162726392428,
          -0.3388401388918002,
          0.3969076026079814,
          1.2120229946402894,
          0.5967669286965589,
          -0.946353776492931,
          -0.6056169494223168,
          0.14172332704325502,
          0.44025252271556276,
          0.0005928507604545247,
          -0.7940706854532569,
          0.21192366634840723,
          0.8149095075768225,
          -0.05199493581542798,
          -0.5180875741452886,
          -1.317738986123144,
          0.12037842786576926,
          0.74514422766251,
          -0.31503778369791563,
          -0.00189469296999778,
          0.7570091044591615,
          1.3551558555785017,
          -0.6339964502348415,
          -0.49008567381481455,
          1.1885327973824689,
          -0.14531918440565145,
          0.2684487920370873,
          -0.34525424811176375,
          0.10869873855842113,
          0.6231409158217567,
          -0.059548510018938496,
          -0.23751667286587919,
          -0.24502520453451382,
          -0.11557436447133158,
          0.7541440793569719,
          -0.2011259915815203,
          0.36201211455763693,
          0.16746711628439157,
          0.7082541213396861,
          0.5017192776369106,
          -0.3175157575728196,
          0.6298028667468023,
          0.4898545909522935,
          -0.05993312479098901,
          -0.2283789472740602,
          0.18266863540304745,
          0.331926112517347,
          0.37410708829040684,
          -0.6048125926667779,
          -0.22592131763324041,
          0.5313373768177536,
          -0.6260614556327057,
          -0.5117061338625019,
          -0.5435058755849399,
          -0.14367214891236957,
          0.7662155241070578,
          0.6433681214330742,
          0.2232306132648039,
          0.5809894016554942,
          -0.3233886243512595,
          0.08737497469169393,
          0.5835588826278372,
          1.0377227968169889,
          -0.823959176694629,
          0.18423606747673543,
          -0.5178243226762598,
          0.19393809489276523,
          -0.05035092366137591,
          0.7481215299814237,
          0.06201610126329335,
          -0.40275798178618993,
          0.4284800057577586,
          0.1053819568759109,
          -0.4160138009596356,
          0.10850680908216809,
          -0.19336203153300596,
          -0.8853655095770137,
          -0.06997302915531048,
          0.19082267101896255,
          -0.4088624883268571,
          -0.6943978106970096,
          -0.06868206938100248,
          0.3302528913741797,
          -0.49731630993648235,
          0.3757868929785175,
          0.5114311427909182,
          0.9482828329963269,
          -0.16679992317618816,
          -0.44110426393245833,
          0.2729522960279435,
          -0.025661034796783683,
          0.573343463739551,
          0.09660543549537758,
          -0.8511458073569258,
          -0.2107982998605533,
          0.1716399358514166,
          0.23978074766324492,
          -0.42294492593645844,
          1.0206619002821065,
          -0.5809880404306388,
          -0.43096273243998173,
          -0.17003777328525638,
          -0.448351999765027,
          -0.22993330234623682,
          0.5330993015020491,
          -0.8619865646410078,
          -0.2718215455977709,
          -0.2243488390565433,
          0.22649713589575565,
          0.6937404438038982,
          -0.1255680097443713,
          -0.5666351208896058,
          -0.432402932244764,
          -0.0008267459760732156,
          -0.015790811261035126,
          -0.7752129207629762,
          -0.013359477266450967,
          0.42149862263833854,
          0.13548107685648608,
          0.22652936290681808,
          0.03883681154062765,
          0.996035284712802,
          0.3164709716679287,
          -0.13281568518635045,
          0.18104537611509589,
          -0.09801921009110168,
          -0.46681390953361074,
          0.14985171054114943,
          0.14432082607281743,
          -0.8154270407355687,
          0.21801795447530675,
          0.09734412085086117,
          0.36136409141323084,
          0.8084177586669168,
          -0.8770937330805337,
          -0.8149991676844731,
          0.25710551195113485,
          0.350636880122824,
          0.37239533900214267,
          -0.5000469728244504,
          0.6263065451755744,
          -0.4253438739892775,
          0.22745843866456333,
          0.25749288220065686,
          0.5151440293847345,
          -0.007592806091623189,
          -0.3861779621308794,
          0.8936762178827662,
          0.5003873519183171,
          0.41616361347195263,
          -0.5265671101310532,
          0.4671463032804496,
          0.13619772018186221,
          0.02306595429644371,
          -0.5357268032756213,
          -0.13931271465484446,
          0.8022717728742715,
          0.3342844996321778,
          -1.3700304739784497,
          0.36397986554306655,
          -0.10462309225658142,
          -0.21105056890857404,
          -0.06059932268366912,
          -0.6173296834032321,
          0.5477782199289895,
          0.8106540718621761,
          -0.722585158015875,
          -0.3085598928863393,
          -0.3102132548344842,
          0.26550039195070396,
          0.11029039125135177,
          0.06341886451184228,
          -0.07844632999433362,
          0.4779705543753368,
          -0.0021992470876829803,
          1.3775557279028352,
          0.44312270971564455,
          0.4532753151089908,
          -1.076567437798459,
          0.38395411117305495,
          -0.11899249318591686,
          -0.6678223660976945,
          0.294285864247223,
          0.044921333622868424,
          -0.5626894117810274,
          0.5789380604819077,
          -0.3428079783501512,
          -0.34480373378124446,
          -0.15271711104838742,
          -0.579720633823066,
          -0.0761315443437992,
          0.27371965977462,
          -0.3573288947799758,
          -0.4343382279867491,
          0.14340999998190745,
          -0.15615006692577163,
          -1.2904882585220878,
          0.9109761559861267,
          -0.5759351897260311,
          0.4884250483549508,
          0.39594215554199674,
          0.6536802677663524,
          0.07996091957124059,
          -0.1537910712861464,
          -0.8286675475458622,
          0.4478486527711405,
          -0.4942884793961875,
          0.724691378496465,
          -1.0323080828155342,
          -0.5253100221891367,
          0.5402018551956154,
          -0.5937890735796798,
          -0.40226505937999574,
          0.28919864611225365,
          -0.5503712170692341,
          0.821181040575347,
          -0.7565214459663111,
          0.9923649013682478,
          -0.1590657080949345,
          -0.4524494433370847,
          0.25054906616274286,
          -0.8020895839523046,
          -0.19997347921454633,
          -0.44940409462846875,
          0.4236013789445714,
          0.37548748760459155,
          -0.8232255822532358,
          0.5327937832925008,
          0.26557115563601824,
          -0.7610425102278291,
          -0.5542679881536583,
          -0.5612654468773459,
          0.26672790273225755,
          1.0270097521855812,
          0.15594137771044306,
          1.0307584431565335,
          -0.498066531601453,
          0.4027912115633624,
          -0.7019945914542038,
          -0.5561128331454888,
          0.03005284287795296,
          0.33469535243989856,
          -0.09155264134501143,
          -0.5863517179366947,
          -0.9628011068049607,
          -0.24865332979929045,
          -0.4021110413944353,
          0.6524334105765499,
          0.0646018484089699,
          -1.1871188571597524,
          -0.5702945547570273,
          -0.19890991122218232,
          0.47669022740214767,
          -0.25666100652075163,
          -0.1960463678435741,
          0.5881095786989503,
          0.10992151650816294,
          -0.35093905644183565,
          -0.22944577603086824,
          0.983961549017558,
          -0.22979246056183128,
          -0.06880377700989147,
          0.07938372953596493,
          0.2007272548466714
         ],
         "xaxis": "x",
         "y": [
          0.11003251539051036,
          0.03044516752349187,
          0.2359746720688815,
          0.3475378038625893,
          -0.3577040992857995,
          -0.03582110800885659,
          0.5543406488719718,
          -0.12216873499619336,
          -0.3629374303837596,
          0.2065054674146787,
          0.14410972475952805,
          0.37954729314821034,
          0.025046961483818832,
          0.6377825232314078,
          0.2936822910228181,
          -0.0950852795928783,
          -0.20005328026718075,
          -0.5395724187320632,
          0.08514220027145841,
          -0.6868758191934142,
          -0.0690372256298451,
          -0.29435160429558915,
          0.7203526057015783,
          0.4365964143695256,
          0.35799684556930367,
          0.6628842533539527,
          0.011149122226206912,
          -0.46085487875511344,
          -0.4170964736905659,
          -0.6075054633316931,
          0.1119700280053812,
          0.5917837116349872,
          -0.00538281052849475,
          -0.4909860973484518,
          0.03790073041803833,
          -0.29866834909259615,
          -1.0461460138839214,
          0.18235146343536274,
          -0.8556458487887977,
          0.9958121750957198,
          0.1656200607315031,
          -0.15864546835373763,
          -0.19621822032744135,
          0.005495372525217507,
          -0.12654332627613574,
          -0.5355180995721426,
          -0.18487895839476937,
          0.8821649926824079,
          0.06955972611510945,
          0.19553729902729744,
          -0.39042064454099606,
          0.33092568112493914,
          0.09763564519350536,
          0.48563074842327664,
          -0.06379279121927275,
          0.08405819978815096,
          -0.5216036560053215,
          -0.9388451460341123,
          0.11919059297694097,
          0.9053860932706144,
          -0.137500909700347,
          0.424260103405385,
          0.09970901420803105,
          -0.31603281030916275,
          0.6114752781864388,
          -0.3613635277816051,
          -0.4674887902830819,
          -0.16224699513104449,
          0.06758823311336379,
          0.3581209756659392,
          -0.25435333011999434,
          0.6147428182937036,
          0.252847975612938,
          0.9472778416715602,
          -0.38391270025607344,
          -0.01237077927035568,
          0.08787017011430565,
          -0.9190687611547398,
          0.2415969592688776,
          -0.2738552904934617,
          0.28310553837364816,
          -0.4590917452577626,
          0.09963165524311567,
          0.10634820355151797,
          0.6994233697929381,
          0.5517038075350604,
          -0.4310913776641251,
          -0.1657371648457404,
          -0.2292799785044729,
          0.07214032368069838,
          -0.3613744438545744,
          -0.20782300776428014,
          -0.17986897982266925,
          -0.19374477899640336,
          0.1696403674470744,
          0.1588763012089673,
          0.40909460083772564,
          0.2562914874355333,
          -0.26810357590631745,
          -0.4301251367430981,
          -0.22226694497712765,
          0.11007117037472947,
          -0.5102254088791398,
          0.3413956732516022,
          0.40017518170791405,
          0.20354339497278634,
          1.8054934226963117,
          0.032178219694061705,
          0.3375626464503053,
          -1.2832653192377417,
          -0.10559948210926696,
          -0.44232032763368634,
          -0.23364642153843812,
          0.42412664361400354,
          0.4156300252034059,
          0.2174107832858093,
          0.4255927683762959,
          -0.7003360750779526,
          0.6875267786098994,
          1.3745685063160695,
          0.12595657304197444,
          -0.41953104258351676,
          -0.31309414749496994,
          -0.1805704122032663,
          0.8162461806823834,
          0.7265524478560843,
          -0.0726072398456906,
          0.32238932771673956,
          0.5880942952129316,
          -0.41636676428324115,
          0.3413680954665451,
          -0.2256238770470152,
          0.5727702437017367,
          -0.7691610787502954,
          -0.37969811142333704,
          -0.10349991216219545,
          -0.3808173402960922,
          1.424689507006326,
          -0.10658590062269536,
          0.08407082423781137,
          -0.713240742360737,
          -0.18934982396726882,
          -0.36071828621488244,
          0.10286187919612846,
          -0.3865394775317237,
          -0.18301818760550512,
          -0.047558443493574146,
          0.391184602330395,
          0.4124026155886694,
          -0.08063850188607251,
          0.012650223081620879,
          0.3594744167529408,
          -0.41919517888542285,
          -0.1516346041419327,
          0.08038666533228025,
          -0.746995716223274,
          0.38583622477109747,
          0.1356453032187684,
          -0.02327741446210456,
          -0.36057850261347235,
          -0.3152426403083225,
          -0.5477949269785313,
          0.3592474419116588,
          -0.31468746421257116,
          -0.09600822365754604,
          0.16104274356014175,
          0.1005866570827027,
          0.5033731388927954,
          -0.574867427931736,
          -0.05235463686583308,
          0.2625282136249597,
          0.10859166412724713,
          -0.5655753111541125,
          -0.4882623657476247,
          -1.043750242429556,
          0.24498490133695183,
          -0.4205279464104974,
          -0.6195271446748787,
          0.4650919827993979,
          -0.13591529202399755,
          -0.10248026089651982,
          -0.03676472867287724,
          -0.4241227127781383,
          -0.5648089666386795,
          -0.3792721093241401,
          0.3295806725484686,
          -0.15769306486705026,
          -0.8162753130082538,
          0.9520123247562159,
          -0.3023858316805087,
          -0.39088560471683054,
          -0.2592797864389562,
          0.16408692537178915,
          -0.041019957014283445,
          -0.016845066714441553,
          0.08436284476490358,
          0.19018769483715844,
          0.07546865970737654,
          -0.4858167022614739,
          0.5611796679395644,
          -0.5851371491216961,
          0.44974799101616103,
          -0.2610766671900409,
          0.13535977043042988,
          -0.45089889155387336,
          0.6187122325364991,
          -0.870071861042225,
          0.5713328023658393,
          0.2665641690877568,
          0.35831087671731543,
          -0.1701438936538676,
          -0.5169928309978344,
          -0.18820416658559422,
          0.8801125429018204,
          -0.2145684235826026,
          -0.156675843666778,
          -0.25936614477303965,
          0.45911302318739433,
          -0.17382288909221305,
          -0.11975139867641638,
          0.52817593639692,
          -0.08784027971657951,
          -0.013446822218015159,
          0.0551454154388436,
          -0.3795547145958586,
          0.1767938193916054,
          -0.29248010049928375,
          0.6872085636687122,
          -0.5989156877113765,
          0.5396657963437477,
          1.2809567976341765,
          -0.4435659944665034,
          -0.2706428097211072,
          0.4478377556728827,
          -0.4420652416119201,
          1.1717262067206655,
          0.5444087697308735,
          0.5500542326468046,
          -0.14861991309192496,
          0.7864113764261401,
          -0.3336480833248576,
          0.5455309924259668,
          -0.6770891796971686,
          0.4879877725576626,
          0.08338261080547874,
          0.38313263881942444,
          -0.32018741336881856,
          -0.5719099222081838,
          -0.5286010499902342,
          0.5363906280582116,
          0.3571286524976465,
          0.3867030474385279,
          0.0377365897255423,
          -0.7539311680781567,
          -0.6653518703390239,
          0.9335955400322155,
          0.4086137830157818,
          -0.580348669293716,
          -0.24324200327492068,
          0.15833620082910466,
          -0.8708191025016165,
          0.2401403600096268,
          -0.18568056122019722,
          0.08250232046514958,
          -0.7033730866892036,
          0.004264013103378025,
          -0.3997859609165378,
          -0.38223804323734145,
          0.8888674547872479,
          -0.3855606394054821,
          -0.04032917937096479,
          -0.8627307077262056,
          -0.2338942204133852,
          0.8343065868698916,
          -0.3986209218178325,
          0.8208930885080884,
          0.3890822330637158,
          1.4663962191777553,
          -0.016098278786972856,
          -0.21182140778859165,
          0.12365936613387879,
          0.13445389778293038,
          -0.47267523144101564,
          0.21476000429559894,
          -0.32111941959076196,
          -0.9659217728249473,
          -0.2630151846036066,
          -0.08556618302813754,
          0.3734416346618563,
          -0.10937194607621714,
          0.06476232981598218,
          0.2507001178521988,
          0.4058709239059738,
          0.2682497145228539,
          0.22961848380908895,
          -0.15242813992570736
         ],
         "yaxis": "y"
        },
        {
         "hovertemplate": "value=0<br>variable=LR<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "0",
         "marker": {
          "color": "#636efa",
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "0",
         "showlegend": false,
         "type": "scattergl",
         "x": [
          -0.19907919139746308,
          0.1322954607890312,
          -0.11181976644843417,
          -0.039012228621638556,
          -0.3429860701469649,
          0.22305260173343316,
          -0.784014727545806,
          -2.249362917154692,
          0.10659096717431134,
          -1.3770189311371306,
          -0.5115861500565647,
          0.06740714015227128,
          -0.22377715227350753,
          -0.4112642442202904,
          -0.10715388269271563,
          0.9666170125365425,
          0.6738957004083234,
          0.04956799296833819,
          0.8443832468605038,
          0.36511352417817206,
          -1.4891123235933217,
          1.6780356897303315,
          0.13042987725360966,
          -1.5266005698192522,
          -2.111173856824941,
          -2.45719976236168,
          -0.4370351773210312,
          -0.2995685913728074,
          -1.1451201404695697,
          -0.13540129428067704,
          1.7018677049581763,
          -0.9366832658556437,
          -0.5833641536623541,
          -2.786817401529107,
          -0.3782248194202176,
          -2.37191472682986,
          0.2498524215715209,
          -0.4749576610112778,
          -0.9812484347082041,
          -0.19729058252265713,
          -0.018658587442924035,
          1.0604086412359106,
          -0.4733162726392428,
          -0.3388401388918002,
          -2.3178243620607764,
          -1.3957221050685071,
          0.5967669286965589,
          -0.946353776492931,
          -0.6056169494223168,
          -1.3002353333706733,
          -0.27371574869431936,
          1.3317876156630506,
          0.0005928507604545247,
          -1.3100898996505488,
          -1.8643684806697078,
          -0.7940706854532569,
          0.4183717235955538,
          0.21192366634840723,
          -0.6697559738844827,
          -0.05199493581542798,
          -0.30419818374529395,
          -1.8305842471623377,
          2.0261522749946512,
          -0.5180875741452886,
          -1.317738986123144,
          0.12037842786576926,
          -0.31503778369791563,
          -0.00189469296999778,
          -1.3099189634734247,
          -1.736022840719857,
          0.6600606791709478,
          -0.6339964502348415,
          -0.49008567381481455,
          -2.0384795366261144,
          -0.14531918440565145,
          -0.8339268036631897,
          -1.6720861666505369,
          0.10869873855842113,
          -0.059548510018938496,
          1.1634498977557974,
          -0.23751667286587919,
          -0.24502520453451382,
          -0.11557436447133158,
          -0.2011259915815203,
          -0.3175157575728196,
          1.391197643504184,
          0.4898545909522935,
          -0.05993312479098901,
          0.3193220022808527,
          0.24245008036108884,
          -0.2283789472740602,
          1.6306169847633485,
          -1.8239243484005896,
          0.9409659294156225,
          0.18266863540304745,
          -2.0467138634718665,
          0.37410708829040684,
          -0.6048125926667779,
          -0.22592131763324041,
          -0.9171516962874895,
          -1.0342599593275121,
          -0.9791405579914779,
          -0.6260614556327057,
          -0.5117061338625019,
          -0.5435058755849399,
          -0.14367214891236957,
          -1.0902450771699181,
          0.2750750045994035,
          -1.583534576810572,
          0.2232306132648039,
          -2.4832340130524155,
          0.5809894016554942,
          -1.2424967956095263,
          1.5122826106916527,
          -0.3233886243512595,
          0.08737497469169393,
          -0.823959176694629,
          -0.5178243226762598,
          0.19393809489276523,
          0.9674255636284128,
          -0.05035092366137591,
          -1.3323249655104556,
          0.06201610126329335,
          -0.40275798178618993,
          -1.794577546171197,
          -1.7239584184775925,
          -0.4160138009596356,
          -0.19336203153300596,
          -0.8853655095770137,
          -0.434879492685904,
          -0.8699208019822325,
          -0.06997302915531048,
          -1.8034936557791315,
          0.19082267101896255,
          1.4871761023443666,
          -1.0600173289866262,
          -0.4088624883268571,
          -0.6943978106970096,
          -0.06868206938100248,
          -1.1430681781397942,
          -2.317981941417777,
          -0.49731630993648235,
          -1.5137434125472686,
          -1.769422004330432,
          -0.6170532121451161,
          -2.163347034213621,
          0.5114311427909182,
          -2.238411177748033,
          -2.5409546279037807,
          -1.5731894425342854,
          -1.378616092471509,
          -0.44110426393245833,
          0.2729522960279435,
          -0.025661034796783683,
          -1.594546628840702,
          -1.832083340228563,
          -0.8511458073569258,
          -0.2107982998605533,
          -2.5697706752567586,
          0.9264928523527237,
          -2.020695630701857,
          -2.6567747300475455,
          -2.0604272065033875,
          -2.447455840720609,
          -0.42294492593645844,
          -0.5809880404306388,
          -0.43096273243998173,
          -0.17003777328525638,
          -0.448351999765027,
          -1.633555526422096,
          -2.112846691061212,
          -0.22993330234623682,
          0.5330993015020491,
          -0.2718215455977709,
          -0.2243488390565433,
          0.22649713589575565,
          -1.6950348859628832,
          -2.1401011609434257,
          -0.1255680097443713,
          -0.5666351208896058,
          -2.5947364989486754,
          -0.432402932244764,
          -0.0008267459760732156,
          -0.015790811261035126,
          -0.7752129207629762,
          -1.595142116356145,
          -2.5138780239932403,
          -1.5335040190367428,
          0.13548107685648608,
          0.03883681154062765,
          -1.4764863506984505,
          -1.6688321334027423,
          -0.5746892643367882,
          -0.6325607975783097,
          -2.087700491629842,
          0.5269590806328275,
          -1.3055402526103397,
          -0.13281568518635045,
          -0.09801921009110168,
          -0.7296048904319005,
          -1.7426886364240939,
          -0.46681390953361074,
          0.14985171054114943,
          0.14432082607281743,
          -0.6288274525736688,
          -0.8154270407355687,
          0.09734412085086117,
          0.36136409141323084,
          -1.7481173978358417,
          -0.8770937330805337,
          -0.8149991676844731,
          0.25710551195113485,
          -1.3856036919954056,
          -2.820148602061482,
          -2.212293219041369,
          -1.9040290848479127,
          0.350636880122824,
          0.49326940205983805,
          0.5394755444316203,
          -0.5000469728244504,
          -1.8025648992773886,
          0.6263065451755744,
          -0.4253438739892775,
          0.22745843866456333,
          -2.009306269738481,
          0.5151440293847345,
          -0.007592806091623189,
          -0.443012283655355,
          -2.4470531620485514,
          -0.3861779621308794,
          0.02697710258525965,
          1.2308961785554993,
          -0.5265671101310532,
          0.4671463032804496,
          0.13619772018186221,
          0.02306595429644371,
          -0.5357268032756213,
          0.4306819576811415,
          -1.9213966136240543,
          -0.13931271465484446,
          -1.7106022418347404,
          0.3342844996321778,
          -1.3700304739784497,
          0.36397986554306655,
          -0.10462309225658142,
          -1.2454008553438325,
          -0.21105056890857404,
          -0.06059932268366912,
          -0.6173296834032321,
          1.7632582380803679,
          -1.7668228761266869,
          -0.722585158015875,
          -0.3085598928863393,
          -1.210982895634066,
          1.9320317117879384,
          -0.3102132548344842,
          0.11029039125135177,
          0.06341886451184228,
          -0.07844632999433362,
          -0.6795787146003736,
          -0.8904218019676812,
          -0.0021992470876829803,
          -0.6723889870614824,
          -1.076567437798459,
          0.38395411117305495,
          -0.11899249318591686,
          -0.6678223660976945,
          0.294285864247223,
          -0.5839378209383043,
          0.044921333622868424,
          -0.5626894117810274,
          -0.3428079783501512,
          -1.1387516485658002,
          0.9234337922504167,
          -1.78110701315727,
          -0.34480373378124446,
          -0.6633358519884783,
          -0.15271711104838742,
          -0.579720633823066,
          -0.0761315443437992,
          -0.3573288947799758,
          -0.3398696526708901,
          -0.4343382279867491,
          0.6396932989618966,
          1.212857367517696,
          0.14340999998190745,
          -1.8037162173375871,
          0.8369217951544439,
          -1.2904882585220878,
          -0.98848616309659,
          0.6408562580688969,
          0.4884250483549508,
          0.39594215554199674,
          0.07996091957124059,
          -0.1305882866216287,
          -0.8286675475458622,
          -0.9196552187214048,
          -0.19425150241522116,
          -2.5434891048823633,
          -0.4942884793961875,
          0.9500261955151671,
          0.9834306458471885,
          -1.0323080828155342,
          -0.5253100221891367,
          0.2592135053754172,
          0.5402018551956154,
          -0.5937890735796798,
          -1.9953804407674363,
          -0.40226505937999574,
          -0.5503712170692341,
          -2.0274115716939747,
          -0.7565214459663111,
          -0.1590657080949345,
          -0.4524494433370847,
          0.25054906616274286,
          -0.8020895839523046,
          -0.19997347921454633,
          -1.7360994850221456,
          0.9430028228643197,
          0.37548748760459155,
          -0.8232255822532358,
          -0.7043959092679235,
          0.26557115563601824,
          -0.04681072388784696,
          -0.7610425102278291,
          -0.5542679881536583,
          0.41810351002712987,
          -0.75871188300168,
          0.4821487543704097,
          -0.5612654468773459,
          0.26672790273225755,
          0.15594137771044306,
          -0.498066531601453,
          0.4027912115633624,
          -1.3475768517591231,
          -0.7019945914542038,
          1.9080804080384226,
          -0.5561128331454888,
          -1.0379958569532548,
          0.03005284287795296,
          -1.9537887798680154,
          -0.09155264134501143,
          -0.5863517179366947,
          -0.9628011068049607,
          -2.1452515746998535,
          -1.4054538629438837,
          -1.4139230691504139,
          -0.4021110413944353,
          -1.1963012868950216,
          0.0646018484089699,
          -1.1871188571597524,
          -0.5702945547570273,
          -1.2591560328393163,
          -0.19890991122218232,
          -2.8201929344566774,
          0.47669022740214767,
          -0.25666100652075163,
          0.4459302452970386,
          -0.1960463678435741,
          0.7629285279694065,
          -1.8084235550318297,
          -0.35093905644183565,
          -0.22944577603086824,
          -1.658127072424907,
          -0.40486372248966396,
          -0.22979246056183128,
          -0.06880377700989147,
          -1.579535620326612,
          0.07938372953596493,
          0.2007272548466714
         ],
         "xaxis": "x2",
         "y": [
          0.11003251539051036,
          0.03044516752349187,
          0.2359746720688815,
          -2.16904330589025,
          -0.3577040992857995,
          -0.03582110800885659,
          0.5543406488719718,
          -0.1043716359557505,
          -0.12216873499619336,
          -0.11002701376295976,
          -1.3435598015634538,
          -1.6657129212518609,
          0.2065054674146787,
          0.37954729314821034,
          0.025046961483818832,
          -0.8636988703414736,
          -1.9888028427317452,
          0.2936822910228181,
          -2.228380923958223,
          -0.0950852795928783,
          -2.141868053380491,
          -1.7332029553962336,
          -0.20005328026718075,
          0.6970329683023891,
          -1.1397234113283687,
          -0.06963362562398537,
          0.08514220027145841,
          -0.6868758191934142,
          -1.869320391034658,
          -0.0690372256298451,
          -1.7211635858794785,
          -0.29435160429558915,
          0.7203526057015783,
          1.2662924661718284,
          0.4365964143695256,
          0.08212858620258784,
          -1.8796476413534922,
          -1.5791513447494117,
          -1.521001910765991,
          -1.5132776028478125,
          -0.6075054633316931,
          -1.8498551068603781,
          -0.00538281052849475,
          -0.4909860973484518,
          0.5674232242016444,
          -0.5924278516373113,
          -1.0461460138839214,
          0.18235146343536274,
          -0.8556458487887977,
          -2.0922601552796687,
          -1.6409393756239676,
          -1.784230307673987,
          -0.15864546835373763,
          -2.3895886564274362,
          -0.8346249100243124,
          -0.19621822032744135,
          -1.3852394096482628,
          0.005495372525217507,
          -1.9885609996880609,
          -0.5355180995721426,
          -2.1689297952761732,
          -2.410385945462777,
          -2.3183579630108175,
          -0.18487895839476937,
          0.8821649926824079,
          0.06955972611510945,
          -0.39042064454099606,
          0.33092568112493914,
          -1.8004949676825657,
          1.368084296603281,
          -1.076930170949463,
          -0.06379279121927275,
          0.08405819978815096,
          0.9892695545124246,
          -0.9388451460341123,
          -0.314612169432015,
          0.11232847191140416,
          -0.137500909700347,
          0.09970901420803105,
          -1.5929899899517452,
          -0.31603281030916275,
          0.6114752781864388,
          -0.3613635277816051,
          -0.16224699513104449,
          0.252847975612938,
          -1.3261513462639531,
          -0.38391270025607344,
          -0.01237077927035568,
          -1.6684695211278875,
          -2.3156341824882767,
          0.08787017011430565,
          -1.5927161633249818,
          -0.9836362606323643,
          -2.265286901113978,
          -0.9190687611547398,
          -1.122469472654072,
          -0.2738552904934617,
          0.28310553837364816,
          -0.4590917452577626,
          -2.0207341291098175,
          1.1096308380192954,
          -0.363102551645655,
          0.10634820355151797,
          0.6994233697929381,
          0.5517038075350604,
          -0.4310913776641251,
          -1.1032161510540566,
          -2.2833930677586673,
          -1.0056254652698828,
          0.07214032368069838,
          0.792786114437663,
          -0.3613744438545744,
          -0.3379422132356826,
          -2.105753603664111,
          -0.20782300776428014,
          -0.17986897982266925,
          0.1588763012089673,
          0.2562914874355333,
          -0.26810357590631745,
          -1.7730050759592535,
          -0.4301251367430981,
          -0.3717611614852513,
          0.11007117037472947,
          -0.5102254088791398,
          -0.8657010422947921,
          -1.9697827069999172,
          0.20354339497278634,
          0.032178219694061705,
          0.3375626464503053,
          -2.515613756399137,
          -0.8833993861522591,
          -1.2832653192377417,
          -1.8433819818885497,
          -0.10559948210926696,
          -2.130131182105103,
          -0.9855950137559277,
          -0.44232032763368634,
          -0.23364642153843812,
          0.42412664361400354,
          -0.5602973788188673,
          2.1186293569080568,
          0.2174107832858093,
          -0.35379856725858927,
          -0.8762163935586291,
          -1.6952461737782005,
          0.12806578492599754,
          -0.7003360750779526,
          -1.1036921409316196,
          0.7698389355046773,
          -0.8286615119372713,
          1.79816435121025,
          0.12595657304197444,
          -0.41953104258351676,
          -0.31309414749496994,
          1.1505375801967226,
          -0.7578087009937673,
          0.7265524478560843,
          -0.0726072398456906,
          -0.3157087146380313,
          -2.2871355716127155,
          0.2889507336028134,
          -0.4390293840208738,
          2.3535027316182977,
          0.8735357274687727,
          -0.41636676428324115,
          -0.2256238770470152,
          0.5727702437017367,
          -0.7691610787502954,
          -0.37969811142333704,
          -0.5474808525751577,
          -1.0323408439360744,
          -0.10349991216219545,
          -0.3808173402960922,
          -0.10658590062269536,
          0.08407082423781137,
          -0.713240742360737,
          1.2920438575519506,
          -0.658008053059925,
          -0.36071828621488244,
          0.10286187919612846,
          -1.5518241318192807,
          -0.3865394775317237,
          -0.18301818760550512,
          -0.047558443493574146,
          0.391184602330395,
          -0.016888173696085418,
          -0.8244333447850286,
          -1.5449598140476253,
          0.012650223081620879,
          -0.41919517888542285,
          1.1096895643400895,
          0.8355031965767715,
          -1.6930018339231057,
          1.0587074672570518,
          1.250648873078005,
          -2.683680343493281,
          -1.1948519461763358,
          -0.746995716223274,
          0.1356453032187684,
          -2.174600681312596,
          0.8440664525264151,
          -0.02327741446210456,
          -0.36057850261347235,
          -0.3152426403083225,
          -1.916907408744093,
          -0.5477949269785313,
          -0.31468746421257116,
          -0.09600822365754604,
          -1.7159863155101263,
          0.1005866570827027,
          0.5033731388927954,
          -0.574867427931736,
          -0.797116710416836,
          -1.5137160839654367,
          1.2071223235984379,
          -0.6910609570393975,
          -0.05235463686583308,
          -1.8467390608301282,
          -0.6880286289691574,
          0.10859166412724713,
          0.622946361571823,
          -0.5655753111541125,
          -0.4882623657476247,
          -1.043750242429556,
          -0.2687601219608679,
          -0.4205279464104974,
          -0.6195271446748787,
          -2.1206474521856498,
          -0.2094318237319412,
          0.4650919827993979,
          -1.8043849300946921,
          -1.5440887714520333,
          -0.4241227127781383,
          -0.5648089666386795,
          -0.3792721093241401,
          0.3295806725484686,
          -0.15769306486705026,
          -1.928792523328538,
          1.8582001513434383,
          -0.8162753130082538,
          -1.949628212934355,
          -0.3023858316805087,
          -0.39088560471683054,
          -0.2592797864389562,
          0.16408692537178915,
          -1.324600997025448,
          -0.041019957014283445,
          -0.016845066714441553,
          0.08436284476490358,
          -2.320519361683289,
          -1.3676813200699063,
          -0.4858167022614739,
          0.5611796679395644,
          0.1370753713156796,
          -1.8989215349373954,
          -0.5851371491216961,
          -0.2610766671900409,
          0.13535977043042988,
          -0.45089889155387336,
          -0.012273003605088373,
          -1.2196393760335424,
          -0.870071861042225,
          -1.7586720033860324,
          -0.1701438936538676,
          -0.5169928309978344,
          -0.18820416658559422,
          0.8801125429018204,
          -0.2145684235826026,
          -1.3251398582668052,
          -0.156675843666778,
          -0.25936614477303965,
          -0.17382288909221305,
          -2.0483103015910538,
          -1.8342651771953444,
          -0.7185148708936029,
          -0.11975139867641638,
          -2.0867424215958237,
          0.52817593639692,
          -0.08784027971657951,
          -0.013446822218015159,
          -0.3795547145958586,
          -1.9816571287953453,
          0.1767938193916054,
          -1.4873792195191746,
          -2.013727921255767,
          -0.29248010049928375,
          -0.8892989616639932,
          -2.0795795378665543,
          -0.5989156877113765,
          -1.6202906358096318,
          -1.9843492098761997,
          -0.4435659944665034,
          -0.2706428097211072,
          -0.4420652416119201,
          -0.8432371144056596,
          0.5444087697308735,
          -1.5779989225956932,
          -2.4165164384633644,
          0.21766763103034736,
          -0.14861991309192496,
          -1.633522672286063,
          -2.147782466367344,
          -0.3336480833248576,
          0.5455309924259668,
          -1.6659622607415332,
          -0.6770891796971686,
          0.4879877725576626,
          0.45620284566591063,
          0.08338261080547874,
          -0.32018741336881856,
          1.276100148112069,
          -0.5286010499902342,
          0.3571286524976465,
          0.3867030474385279,
          0.0377365897255423,
          -0.7539311680781567,
          -0.6653518703390239,
          1.2590988104526082,
          -1.3967796370860088,
          -0.580348669293716,
          -0.24324200327492068,
          1.0762405107071866,
          -0.8708191025016165,
          -1.9922918448178628,
          0.2401403600096268,
          -0.18568056122019722,
          -1.7235998761669689,
          -0.6157593226014437,
          -2.045492510601244,
          0.08250232046514958,
          -0.7033730866892036,
          -0.3997859609165378,
          0.8888674547872479,
          -0.3855606394054821,
          -1.4899745496226962,
          -0.04032917937096479,
          -2.779567764650759,
          -0.8627307077262056,
          -1.1917333103033079,
          -0.2338942204133852,
          0.4376835751572467,
          -0.3986209218178325,
          0.8208930885080884,
          0.3890822330637158,
          -0.21793937075418648,
          1.559804897508855,
          -0.5602496541579444,
          -0.016098278786972856,
          0.6702100485736949,
          0.12365936613387879,
          0.13445389778293038,
          -0.47267523144101564,
          -2.6005922004684328,
          0.21476000429559894,
          -0.24692708771022134,
          -0.32111941959076196,
          -0.9659217728249473,
          -1.0367945896851665,
          -0.2630151846036066,
          -2.0007515610400515,
          1.5104652262675335,
          -0.10937194607621714,
          0.06476232981598218,
          1.2052171567619516,
          -2.0223461933000335,
          0.4058709239059738,
          0.2682497145228539,
          0.35113095249010945,
          0.22961848380908895,
          -0.15242813992570736
         ],
         "yaxis": "y2"
        },
        {
         "hovertemplate": "value=0<br>variable=SVM_linear<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "0",
         "marker": {
          "color": "#636efa",
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "0",
         "showlegend": false,
         "type": "scattergl",
         "x": [
          -0.19907919139746308,
          0.1322954607890312,
          -0.11181976644843417,
          -0.039012228621638556,
          1.7276528994837215,
          -0.3429860701469649,
          0.22305260173343316,
          -0.5650523897221454,
          -0.784014727545806,
          -2.249362917154692,
          0.10659096717431134,
          1.6413171507303252,
          -1.3770189311371306,
          -0.296093420990276,
          -0.5115861500565647,
          1.0288065095722856,
          0.06740714015227128,
          -0.22377715227350753,
          0.2896633524819163,
          -0.4112642442202904,
          -0.10715388269271563,
          0.9666170125365425,
          0.1654995464559705,
          0.6738957004083234,
          0.04956799296833819,
          0.8443832468605038,
          0.36511352417817206,
          -1.4891123235933217,
          1.6780356897303315,
          0.13042987725360966,
          -1.5266005698192522,
          1.0048475957858645,
          -2.111173856824941,
          -2.45719976236168,
          -0.4370351773210312,
          -0.2995685913728074,
          -1.1451201404695697,
          -0.13540129428067704,
          1.7018677049581763,
          -0.9366832658556437,
          -0.5833641536623541,
          -2.786817401529107,
          -0.3782248194202176,
          -2.37191472682986,
          0.2498524215715209,
          -0.7206813814261095,
          -0.4749576610112778,
          0.13125609273181554,
          0.17353715494187663,
          0.3213226610435037,
          -0.9812484347082041,
          0.9634232970282797,
          -0.19729058252265713,
          1.3135229568822748,
          -0.018658587442924035,
          0.2210337696839605,
          1.0604086412359106,
          1.2575443130102761,
          0.5065375598516173,
          -0.4733162726392428,
          -0.1515361457231683,
          -0.3388401388918002,
          0.3969076026079814,
          -2.3178243620607764,
          -1.3957221050685071,
          1.2120229946402894,
          0.5967669286965589,
          -0.946353776492931,
          1.4866702814982073,
          -0.6056169494223168,
          1.4706665288918563,
          -1.3002353333706733,
          -0.27371574869431936,
          0.14172332704325502,
          0.44025252271556276,
          1.3317876156630506,
          0.0005928507604545247,
          -1.3100898996505488,
          -1.8643684806697078,
          -0.7940706854532569,
          0.4183717235955538,
          0.21192366634840723,
          -0.6697559738844827,
          0.8149095075768225,
          -0.05199493581542798,
          -0.30419818374529395,
          -1.8305842471623377,
          2.0261522749946512,
          -0.5180875741452886,
          -1.317738986123144,
          0.12037842786576926,
          0.74514422766251,
          -0.31503778369791563,
          -0.00189469296999778,
          -1.3099189634734247,
          0.7570091044591615,
          -1.736022840719857,
          0.6600606791709478,
          -0.6339964502348415,
          -0.49008567381481455,
          1.1885327973824689,
          -2.0384795366261144,
          -0.14531918440565145,
          0.2684487920370873,
          -0.8339268036631897,
          -0.9352823556092318,
          -0.34525424811176375,
          -1.6720861666505369,
          0.10869873855842113,
          -1.1963970233678258,
          0.6231409158217567,
          -0.059548510018938496,
          1.1634498977557974,
          -0.23751667286587919,
          -0.24502520453451382,
          -0.11557436447133158,
          0.7541440793569719,
          -0.2011259915815203,
          0.36201211455763693,
          0.16746711628439157,
          0.7082541213396861,
          0.5017192776369106,
          -0.3175157575728196,
          1.391197643504184,
          -0.5072953507724862,
          0.4898545909522935,
          -0.05993312479098901,
          0.3193220022808527,
          0.24245008036108884,
          -0.2283789472740602,
          1.6306169847633485,
          -1.8239243484005896,
          0.9409659294156225,
          0.18266863540304745,
          0.331926112517347,
          -2.0467138634718665,
          0.37410708829040684,
          -0.6048125926667779,
          0.044845547385124696,
          -0.22592131763324041,
          -0.9171516962874895,
          0.5313373768177536,
          -1.0342599593275121,
          -0.9791405579914779,
          -0.6260614556327057,
          -0.5117061338625019,
          -0.5435058755849399,
          -0.14367214891236957,
          -1.0902450771699181,
          0.7662155241070578,
          0.2750750045994035,
          0.6433681214330742,
          -1.583534576810572,
          0.2232306132648039,
          -0.5816875454510945,
          -2.4832340130524155,
          0.5809894016554942,
          -1.2424967956095263,
          1.5122826106916527,
          -0.3233886243512595,
          0.08737497469169393,
          0.5835588826278372,
          -0.823959176694629,
          0.18423606747673543,
          -0.5178243226762598,
          0.19393809489276523,
          0.9674255636284128,
          -0.05035092366137591,
          0.7481215299814237,
          -1.3323249655104556,
          0.06201610126329335,
          -0.40275798178618993,
          0.4284800057577586,
          0.1053819568759109,
          1.7739244007503854,
          -1.794577546171197,
          -1.7239584184775925,
          -0.4160138009596356,
          -0.19336203153300596,
          -0.8853655095770137,
          -0.434879492685904,
          -0.8699208019822325,
          -0.06997302915531048,
          -0.967825665622436,
          -1.8034936557791315,
          0.19082267101896255,
          1.4871761023443666,
          -1.0600173289866262,
          -0.4088624883268571,
          -0.6943978106970096,
          -0.06868206938100248,
          -1.1430681781397942,
          0.3302528913741797,
          -2.317981941417777,
          -0.49731630993648235,
          0.3757868929785175,
          -1.5137434125472686,
          -1.769422004330432,
          -0.6170532121451161,
          -2.163347034213621,
          0.5114311427909182,
          -2.238411177748033,
          -2.5409546279037807,
          -0.9638549634949845,
          -1.5731894425342854,
          -0.16679992317618816,
          -1.378616092471509,
          -0.44110426393245833,
          0.2729522960279435,
          -0.025661034796783683,
          1.5267123065328787,
          0.573343463739551,
          -1.594546628840702,
          0.09660543549537758,
          -1.832083340228563,
          -0.8511458073569258,
          -0.2107982998605533,
          0.1716399358514166,
          -2.5697706752567586,
          -1.0699098418642783,
          0.9264928523527237,
          -0.16181946814755863,
          -2.020695630701857,
          -2.6567747300475455,
          -2.0604272065033875,
          -2.447455840720609,
          0.23978074766324492,
          -0.42294492593645844,
          -0.5809880404306388,
          -0.43096273243998173,
          -0.17003777328525638,
          -0.448351999765027,
          -1.633555526422096,
          -2.112846691061212,
          -0.22993330234623682,
          0.5330993015020491,
          -0.8619865646410078,
          -0.2718215455977709,
          -0.2243488390565433,
          0.22649713589575565,
          -1.6950348859628832,
          -2.1401011609434257,
          0.6937404438038982,
          -0.1255680097443713,
          -0.5666351208896058,
          -2.5947364989486754,
          -0.432402932244764,
          -0.0008267459760732156,
          -0.015790811261035126,
          -0.7752129207629762,
          -0.013359477266450967,
          -1.595142116356145,
          -2.5138780239932403,
          0.42149862263833854,
          -1.5335040190367428,
          0.13548107685648608,
          0.22652936290681808,
          0.03883681154062765,
          -1.4764863506984505,
          0.996035284712802,
          -1.6688321334027423,
          2.2505273393595964,
          -0.5746892643367882,
          -0.6325607975783097,
          -2.087700491629842,
          0.5269590806328275,
          -1.3055402526103397,
          0.3164709716679287,
          -0.13281568518635045,
          0.18104537611509589,
          -1.0272977082323689,
          1.5416463961032032,
          -0.09801921009110168,
          -0.4793083193499349,
          -0.7296048904319005,
          -1.7426886364240939,
          -0.46681390953361074,
          0.14985171054114943,
          0.14432082607281743,
          -0.6288274525736688,
          -0.8154270407355687,
          0.21801795447530675,
          0.09734412085086117,
          0.36136409141323084,
          0.8084177586669168,
          -1.7481173978358417,
          -0.8770937330805337,
          -0.8149991676844731,
          0.25710551195113485,
          -1.3856036919954056,
          -2.820148602061482,
          -2.212293219041369,
          -1.9040290848479127,
          0.350636880122824,
          0.37239533900214267,
          -0.6409220200796886,
          0.49326940205983805,
          0.5394755444316203,
          -0.5000469728244504,
          -1.8025648992773886,
          0.6263065451755744,
          -0.4253438739892775,
          0.22745843866456333,
          -2.009306269738481,
          0.25749288220065686,
          0.5151440293847345,
          -0.007592806091623189,
          -0.443012283655355,
          -0.994202047084523,
          -2.4470531620485514,
          -0.3861779621308794,
          0.02697710258525965,
          -0.4895084369136866,
          0.8936762178827662,
          0.5003873519183171,
          0.41616361347195263,
          1.2308961785554993,
          -0.5265671101310532,
          0.4671463032804496,
          0.13619772018186221,
          0.02306595429644371,
          -0.5357268032756213,
          0.4306819576811415,
          -1.9213966136240543,
          -0.13931271465484446,
          -1.7106022418347404,
          0.3342844996321778,
          -1.3700304739784497,
          0.36397986554306655,
          -0.10462309225658142,
          -1.2454008553438325,
          -0.21105056890857404,
          -0.06059932268366912,
          -0.6173296834032321,
          0.5477782199289895,
          0.8106540718621761,
          1.7632582380803679,
          -1.7668228761266869,
          -0.722585158015875,
          -0.3085598928863393,
          -1.210982895634066,
          1.9320317117879384,
          -0.3102132548344842,
          0.26550039195070396,
          0.11029039125135177,
          0.06341886451184228,
          -0.920409508081902,
          -0.07844632999433362,
          0.4779705543753368,
          -0.6795787146003736,
          -0.8904218019676812,
          -0.3032294146780732,
          -0.0021992470876829803,
          -0.6723889870614824,
          0.44312270971564455,
          0.4532753151089908,
          -1.076567437798459,
          0.38395411117305495,
          -0.11899249318591686,
          -0.6678223660976945,
          0.294285864247223,
          -0.5839378209383043,
          0.044921333622868424,
          -0.5626894117810274,
          0.5789380604819077,
          -0.3428079783501512,
          -1.1387516485658002,
          0.9234337922504167,
          -1.78110701315727,
          -0.34480373378124446,
          -0.6633358519884783,
          -0.15271711104838742,
          -0.579720633823066,
          -0.0761315443437992,
          0.27371965977462,
          -0.3573288947799758,
          -0.3398696526708901,
          -0.4343382279867491,
          0.6396932989618966,
          1.212857367517696,
          0.14340999998190745,
          -0.15615006692577163,
          -1.8037162173375871,
          0.8369217951544439,
          -1.2904882585220878,
          -0.98848616309659,
          -0.5759351897260311,
          0.6408562580688969,
          -1.1693742005549763,
          0.4884250483549508,
          0.39594215554199674,
          0.6536802677663524,
          0.07996091957124059,
          -0.1305882866216287,
          -0.1537910712861464,
          -0.8286675475458622,
          -0.9196552187214048,
          -0.19425150241522116,
          1.2667482065171338,
          -2.5434891048823633,
          0.4478486527711405,
          -0.4942884793961875,
          -0.5511304338007317,
          0.9500261955151671,
          0.9834306458471885,
          -1.0323080828155342,
          -0.5253100221891367,
          0.2592135053754172,
          0.5402018551956154,
          -0.5937890735796798,
          -1.9953804407674363,
          -0.40226505937999574,
          0.28919864611225365,
          -0.5503712170692341,
          0.821181040575347,
          -2.0274115716939747,
          -0.7565214459663111,
          -0.1590657080949345,
          -0.4524494433370847,
          0.25054906616274286,
          -0.8020895839523046,
          -0.19997347921454633,
          -0.44940409462846875,
          -1.7360994850221456,
          0.9430028228643197,
          0.4236013789445714,
          0.37548748760459155,
          -0.8232255822532358,
          0.5327937832925008,
          -0.7043959092679235,
          0.26557115563601824,
          -0.04681072388784696,
          -0.7610425102278291,
          -0.5542679881536583,
          0.41810351002712987,
          1.4949106795039395,
          -0.75871188300168,
          0.4821487543704097,
          -0.5612654468773459,
          0.26672790273225755,
          1.0270097521855812,
          0.15594137771044306,
          1.0307584431565335,
          -0.498066531601453,
          0.4027912115633624,
          -0.9825591841939711,
          -1.3475768517591231,
          -0.7019945914542038,
          1.9080804080384226,
          -0.5561128331454888,
          0.05340311599237002,
          -1.0379958569532548,
          0.03005284287795296,
          0.33469535243989856,
          -1.9537887798680154,
          -1.2800741060989056,
          -0.09155264134501143,
          -0.5863517179366947,
          -0.9628011068049607,
          -2.1452515746998535,
          -1.4054538629438837,
          -0.24865332979929045,
          -1.4139230691504139,
          -0.4021110413944353,
          0.6524334105765499,
          -1.1963012868950216,
          0.0646018484089699,
          -1.1871188571597524,
          -0.5702945547570273,
          -1.2591560328393163,
          -0.19890991122218232,
          -2.8201929344566774,
          0.3741739402192743,
          0.47669022740214767,
          -0.25666100652075163,
          0.4459302452970386,
          -0.1960463678435741,
          0.7629285279694065,
          -1.8084235550318297,
          -1.315359964237099,
          0.5881095786989503,
          0.10992151650816294,
          -0.35093905644183565,
          -0.22944577603086824,
          -1.658127072424907,
          -0.40486372248966396,
          -0.22979246056183128,
          -0.06880377700989147,
          -0.9162191147082366,
          -1.579535620326612,
          0.07938372953596493,
          0.2007272548466714
         ],
         "xaxis": "x3",
         "y": [
          0.11003251539051036,
          0.03044516752349187,
          0.2359746720688815,
          -2.16904330589025,
          -0.979863148407186,
          -0.3577040992857995,
          -0.03582110800885659,
          1.2446528215228985,
          0.5543406488719718,
          -0.1043716359557505,
          -0.12216873499619336,
          -1.401141426541061,
          -0.11002701376295976,
          1.6899267041126182,
          -1.3435598015634538,
          -0.3629374303837596,
          -1.6657129212518609,
          0.2065054674146787,
          0.14410972475952805,
          0.37954729314821034,
          0.025046961483818832,
          -0.8636988703414736,
          0.6377825232314078,
          -1.9888028427317452,
          0.2936822910228181,
          -2.228380923958223,
          -0.0950852795928783,
          -2.141868053380491,
          -1.7332029553962336,
          -0.20005328026718075,
          0.6970329683023891,
          -0.5395724187320632,
          -1.1397234113283687,
          -0.06963362562398537,
          0.08514220027145841,
          -0.6868758191934142,
          -1.869320391034658,
          -0.0690372256298451,
          -1.7211635858794785,
          -0.29435160429558915,
          0.7203526057015783,
          1.2662924661718284,
          0.4365964143695256,
          0.08212858620258784,
          -1.8796476413534922,
          2.2613330427664287,
          -1.5791513447494117,
          0.35799684556930367,
          0.6628842533539527,
          0.011149122226206912,
          -1.521001910765991,
          -0.46085487875511344,
          -1.5132776028478125,
          -0.4170964736905659,
          -0.6075054633316931,
          0.1119700280053812,
          -1.8498551068603781,
          -0.8781162045373915,
          0.5917837116349872,
          -0.00538281052849475,
          1.276664182177821,
          -0.4909860973484518,
          0.03790073041803833,
          0.5674232242016444,
          -0.5924278516373113,
          -0.29866834909259615,
          -1.0461460138839214,
          0.18235146343536274,
          -0.658570192238938,
          -0.8556458487887977,
          -0.6320762054234034,
          -2.0922601552796687,
          -1.6409393756239676,
          0.9958121750957198,
          0.1656200607315031,
          -1.784230307673987,
          -0.15864546835373763,
          -2.3895886564274362,
          -0.8346249100243124,
          -0.19621822032744135,
          -1.3852394096482628,
          0.005495372525217507,
          -1.9885609996880609,
          -0.12654332627613574,
          -0.5355180995721426,
          -2.1689297952761732,
          -2.410385945462777,
          -2.3183579630108175,
          -0.18487895839476937,
          0.8821649926824079,
          0.06955972611510945,
          0.19553729902729744,
          -0.39042064454099606,
          0.33092568112493914,
          -1.8004949676825657,
          0.09763564519350536,
          1.368084296603281,
          -1.076930170949463,
          -0.06379279121927275,
          0.08405819978815096,
          -0.5216036560053215,
          0.9892695545124246,
          -0.9388451460341123,
          0.11919059297694097,
          -0.314612169432015,
          2.218056248564923,
          0.9053860932706144,
          0.11232847191140416,
          -0.137500909700347,
          2.128118641690072,
          0.424260103405385,
          0.09970901420803105,
          -1.5929899899517452,
          -0.31603281030916275,
          0.6114752781864388,
          -0.3613635277816051,
          -0.4674887902830819,
          -0.16224699513104449,
          0.06758823311336379,
          0.3581209756659392,
          -0.25435333011999434,
          0.6147428182937036,
          0.252847975612938,
          -1.3261513462639531,
          1.658423362376177,
          -0.38391270025607344,
          -0.01237077927035568,
          -1.6684695211278875,
          -2.3156341824882767,
          0.08787017011430565,
          -1.5927161633249818,
          -0.9836362606323643,
          -2.265286901113978,
          -0.9190687611547398,
          0.2415969592688776,
          -1.122469472654072,
          -0.2738552904934617,
          0.28310553837364816,
          0.8486921313526852,
          -0.4590917452577626,
          -2.0207341291098175,
          0.09963165524311567,
          1.1096308380192954,
          -0.363102551645655,
          0.10634820355151797,
          0.6994233697929381,
          0.5517038075350604,
          -0.4310913776641251,
          -1.1032161510540566,
          -0.1657371648457404,
          -2.2833930677586673,
          -0.2292799785044729,
          -1.0056254652698828,
          0.07214032368069838,
          1.8605708743223066,
          0.792786114437663,
          -0.3613744438545744,
          -0.3379422132356826,
          -2.105753603664111,
          -0.20782300776428014,
          -0.17986897982266925,
          -0.19374477899640336,
          0.1588763012089673,
          0.40909460083772564,
          0.2562914874355333,
          -0.26810357590631745,
          -1.7730050759592535,
          -0.4301251367430981,
          -0.22226694497712765,
          -0.3717611614852513,
          0.11007117037472947,
          -0.5102254088791398,
          0.3413956732516022,
          0.40017518170791405,
          -1.550665861896647,
          -0.8657010422947921,
          -1.9697827069999172,
          0.20354339497278634,
          0.032178219694061705,
          0.3375626464503053,
          -2.515613756399137,
          -0.8833993861522591,
          -1.2832653192377417,
          1.7349243986060976,
          -1.8433819818885497,
          -0.10559948210926696,
          -2.130131182105103,
          -0.9855950137559277,
          -0.44232032763368634,
          -0.23364642153843812,
          0.42412664361400354,
          -0.5602973788188673,
          0.4156300252034059,
          2.1186293569080568,
          0.2174107832858093,
          0.4255927683762959,
          -0.35379856725858927,
          -0.8762163935586291,
          -1.6952461737782005,
          0.12806578492599754,
          -0.7003360750779526,
          -1.1036921409316196,
          0.7698389355046773,
          2.1046921192701364,
          -0.8286615119372713,
          1.3745685063160695,
          1.79816435121025,
          0.12595657304197444,
          -0.41953104258351676,
          -0.31309414749496994,
          -0.9258795841028562,
          -0.1805704122032663,
          1.1505375801967226,
          0.8162461806823834,
          -0.7578087009937673,
          0.7265524478560843,
          -0.0726072398456906,
          0.32238932771673956,
          -0.3157087146380313,
          1.949656257343563,
          -2.2871355716127155,
          1.3898007800719616,
          0.2889507336028134,
          -0.4390293840208738,
          2.3535027316182977,
          0.8735357274687727,
          0.5880942952129316,
          -0.41636676428324115,
          -0.2256238770470152,
          0.5727702437017367,
          -0.7691610787502954,
          -0.37969811142333704,
          -0.5474808525751577,
          -1.0323408439360744,
          -0.10349991216219545,
          -0.3808173402960922,
          1.424689507006326,
          -0.10658590062269536,
          0.08407082423781137,
          -0.713240742360737,
          1.2920438575519506,
          -0.658008053059925,
          -0.18934982396726882,
          -0.36071828621488244,
          0.10286187919612846,
          -1.5518241318192807,
          -0.3865394775317237,
          -0.18301818760550512,
          -0.047558443493574146,
          0.391184602330395,
          0.4124026155886694,
          -0.016888173696085418,
          -0.8244333447850286,
          -0.08063850188607251,
          -1.5449598140476253,
          0.012650223081620879,
          0.3594744167529408,
          -0.41919517888542285,
          1.1096895643400895,
          -0.1516346041419327,
          0.8355031965767715,
          -1.8753145783049798,
          -1.6930018339231057,
          1.0587074672570518,
          1.250648873078005,
          -2.683680343493281,
          -1.1948519461763358,
          0.08038666533228025,
          -0.746995716223274,
          0.38583622477109747,
          2.4538176465201533,
          -1.2547348624200494,
          0.1356453032187684,
          1.1416852318988469,
          -2.174600681312596,
          0.8440664525264151,
          -0.02327741446210456,
          -0.36057850261347235,
          -0.3152426403083225,
          -1.916907408744093,
          -0.5477949269785313,
          0.3592474419116588,
          -0.31468746421257116,
          -0.09600822365754604,
          0.16104274356014175,
          -1.7159863155101263,
          0.1005866570827027,
          0.5033731388927954,
          -0.574867427931736,
          -0.797116710416836,
          -1.5137160839654367,
          1.2071223235984379,
          -0.6910609570393975,
          -0.05235463686583308,
          0.2625282136249597,
          1.6073734234654387,
          -1.8467390608301282,
          -0.6880286289691574,
          0.10859166412724713,
          0.622946361571823,
          -0.5655753111541125,
          -0.4882623657476247,
          -1.043750242429556,
          -0.2687601219608679,
          0.24498490133695183,
          -0.4205279464104974,
          -0.6195271446748787,
          -2.1206474521856498,
          1.8286348889961757,
          -0.2094318237319412,
          0.4650919827993979,
          -1.8043849300946921,
          1.9391409312551091,
          -0.13591529202399755,
          -0.10248026089651982,
          -0.03676472867287724,
          -1.5440887714520333,
          -0.4241227127781383,
          -0.5648089666386795,
          -0.3792721093241401,
          0.3295806725484686,
          -0.15769306486705026,
          -1.928792523328538,
          1.8582001513434383,
          -0.8162753130082538,
          -1.949628212934355,
          -0.3023858316805087,
          -0.39088560471683054,
          -0.2592797864389562,
          0.16408692537178915,
          -1.324600997025448,
          -0.041019957014283445,
          -0.016845066714441553,
          0.08436284476490358,
          0.19018769483715844,
          0.07546865970737654,
          -2.320519361683289,
          -1.3676813200699063,
          -0.4858167022614739,
          0.5611796679395644,
          0.1370753713156796,
          -1.8989215349373954,
          -0.5851371491216961,
          0.44974799101616103,
          -0.2610766671900409,
          0.13535977043042988,
          2.4120346898901546,
          -0.45089889155387336,
          0.6187122325364991,
          -0.012273003605088373,
          -1.2196393760335424,
          1.4834263529147513,
          -0.870071861042225,
          -1.7586720033860324,
          0.2665641690877568,
          0.35831087671731543,
          -0.1701438936538676,
          -0.5169928309978344,
          -0.18820416658559422,
          0.8801125429018204,
          -0.2145684235826026,
          -1.3251398582668052,
          -0.156675843666778,
          -0.25936614477303965,
          0.45911302318739433,
          -0.17382288909221305,
          -2.0483103015910538,
          -1.8342651771953444,
          -0.7185148708936029,
          -0.11975139867641638,
          -2.0867424215958237,
          0.52817593639692,
          -0.08784027971657951,
          -0.013446822218015159,
          0.0551454154388436,
          -0.3795547145958586,
          -1.9816571287953453,
          0.1767938193916054,
          -1.4873792195191746,
          -2.013727921255767,
          -0.29248010049928375,
          0.6872085636687122,
          -0.8892989616639932,
          -2.0795795378665543,
          -0.5989156877113765,
          -1.6202906358096318,
          1.2809567976341765,
          -1.9843492098761997,
          2.0028196206058477,
          -0.4435659944665034,
          -0.2706428097211072,
          0.4478377556728827,
          -0.4420652416119201,
          -0.8432371144056596,
          1.1717262067206655,
          0.5444087697308735,
          -1.5779989225956932,
          -2.4165164384633644,
          -0.9242191407242372,
          0.21766763103034736,
          0.5500542326468046,
          -0.14861991309192496,
          1.1773511637888658,
          -1.633522672286063,
          -2.147782466367344,
          -0.3336480833248576,
          0.5455309924259668,
          -1.6659622607415332,
          -0.6770891796971686,
          0.4879877725576626,
          0.45620284566591063,
          0.08338261080547874,
          0.38313263881942444,
          -0.32018741336881856,
          -0.5719099222081838,
          1.276100148112069,
          -0.5286010499902342,
          0.3571286524976465,
          0.3867030474385279,
          0.0377365897255423,
          -0.7539311680781567,
          -0.6653518703390239,
          0.9335955400322155,
          1.2590988104526082,
          -1.3967796370860088,
          0.4086137830157818,
          -0.580348669293716,
          -0.24324200327492068,
          0.15833620082910466,
          1.0762405107071866,
          -0.8708191025016165,
          -1.9922918448178628,
          0.2401403600096268,
          -0.18568056122019722,
          -1.7235998761669689,
          -1.0951879541519534,
          -0.6157593226014437,
          -2.045492510601244,
          0.08250232046514958,
          -0.7033730866892036,
          0.004264013103378025,
          -0.3997859609165378,
          -0.38223804323734145,
          0.8888674547872479,
          -0.3855606394054821,
          2.1637063817624975,
          -1.4899745496226962,
          -0.04032917937096479,
          -2.779567764650759,
          -0.8627307077262056,
          1.0892825114118507,
          -1.1917333103033079,
          -0.2338942204133852,
          0.8343065868698916,
          0.4376835751572467,
          1.9089423505954124,
          -0.3986209218178325,
          0.8208930885080884,
          0.3890822330637158,
          -0.21793937075418648,
          1.559804897508855,
          1.4663962191777553,
          -0.5602496541579444,
          -0.016098278786972856,
          -0.21182140778859165,
          0.6702100485736949,
          0.12365936613387879,
          0.13445389778293038,
          -0.47267523144101564,
          -2.6005922004684328,
          0.21476000429559894,
          -0.24692708771022134,
          0.6785617076867003,
          -0.32111941959076196,
          -0.9659217728249473,
          -1.0367945896851665,
          -0.2630151846036066,
          -2.0007515610400515,
          1.5104652262675335,
          1.9311550747187827,
          -0.08556618302813754,
          0.3734416346618563,
          -0.10937194607621714,
          0.06476232981598218,
          1.2052171567619516,
          -2.0223461933000335,
          0.4058709239059738,
          0.2682497145228539,
          2.1559357899923555,
          0.35113095249010945,
          0.22961848380908895,
          -0.15242813992570736
         ],
         "yaxis": "y3"
        },
        {
         "hovertemplate": "value=1<br>variable=label<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "1",
         "marker": {
          "color": "#EF553B",
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "1",
         "showlegend": true,
         "type": "scattergl",
         "x": [
          -0.039012228621638556,
          1.7276528994837215,
          -0.5650523897221454,
          -2.249362917154692,
          1.6413171507303252,
          -1.3770189311371306,
          -0.296093420990276,
          0.15073577634709934,
          0.6781951359852729,
          0.10243448324884358,
          -0.5115861500565647,
          0.06740714015227128,
          1.8977088390818109,
          0.9666170125365425,
          0.9576444918066123,
          0.6738957004083234,
          1.4813809036042875,
          1.6705879464651077,
          0.8443832468605038,
          -1.4891123235933217,
          1.6780356897303315,
          1.0143841881282976,
          -1.5266005698192522,
          1.4790177769847683,
          -2.111173856824941,
          -2.45719976236168,
          0.6700436133746195,
          -1.1451201404695697,
          1.7018677049581763,
          -2.786817401529107,
          -2.37191472682986,
          0.2498524215715209,
          -0.7206813814261095,
          -0.4749576610112778,
          -0.9812484347082041,
          -0.19729058252265713,
          1.0604086412359106,
          1.2575443130102761,
          -0.1515361457231683,
          -2.3178243620607764,
          0.24865644387017843,
          -1.3957221050685071,
          0.8873912687847187,
          1.4866702814982073,
          1.4706665288918563,
          -1.3002353333706733,
          -0.27371574869431936,
          1.5951879603038799,
          1.3317876156630506,
          -1.3100898996505488,
          -1.8643684806697078,
          0.4183717235955538,
          0.9852872747373254,
          -0.6697559738844827,
          -0.30419818374529395,
          -1.8305842471623377,
          2.0261522749946512,
          -1.3099189634734247,
          -1.736022840719857,
          0.6600606791709478,
          0.0009613026386510182,
          -2.0384795366261144,
          -0.8339268036631897,
          1.2699455362334993,
          -0.9352823556092318,
          -1.6720861666505369,
          -1.1963970233678258,
          1.1634498977557974,
          2.138369327897423,
          1.391197643504184,
          0.684930946001159,
          -0.5072953507724862,
          -0.7629961471951947,
          -0.2194971556915996,
          0.3193220022808527,
          0.24245008036108884,
          1.6306169847633485,
          -1.8239243484005896,
          0.9409659294156225,
          1.7713350796680922,
          -2.0467138634718665,
          0.044845547385124696,
          -0.9171516962874895,
          -1.0342599593275121,
          0.7868601090977789,
          -0.9791405579914779,
          -1.0902450771699181,
          2.0482994359864026,
          0.2750750045994035,
          -1.583534576810572,
          -0.5816875454510945,
          -2.4832340130524155,
          2.2628376534196195,
          -1.2424967956095263,
          1.5122826106916527,
          0.9674255636284128,
          2.532963332194703,
          1.6419226620070706,
          -1.3323249655104556,
          1.7739244007503854,
          -1.794577546171197,
          1.2623668282695362,
          -1.7239584184775925,
          -0.434879492685904,
          -0.8699208019822325,
          1.785717422729617,
          -0.967825665622436,
          -1.8034936557791315,
          1.4871761023443666,
          1.6649810982721225,
          -1.0600173289866262,
          -1.1430681781397942,
          -2.317981941417777,
          -1.5137434125472686,
          -1.769422004330432,
          1.052030188896767,
          -0.6170532121451161,
          2.4811104303063543,
          -2.163347034213621,
          -2.238411177748033,
          -2.5409546279037807,
          -0.9638549634949845,
          -1.5731894425342854,
          -0.17416518477141366,
          1.604923525748615,
          -1.378616092471509,
          -0.40761866274880176,
          1.5267123065328787,
          -1.594546628840702,
          -1.832083340228563,
          1.413201091813646,
          -2.5697706752567586,
          -1.0699098418642783,
          0.9264928523527237,
          -0.16181946814755863,
          -2.020695630701857,
          -2.6567747300475455,
          -2.0604272065033875,
          -2.447455840720609,
          1.7741945251476439,
          -1.633555526422096,
          0.07786995803184699,
          -2.112846691061212,
          2.2801966213107394,
          -1.6950348859628832,
          -2.1401011609434257,
          -2.5947364989486754,
          1.6809109011293846,
          2.9485870555849933,
          -1.595142116356145,
          2.6890839527222,
          -2.5138780239932403,
          -1.5335040190367428,
          -1.4764863506984505,
          -1.6688321334027423,
          2.2505273393595964,
          -0.5746892643367882,
          -0.6325607975783097,
          -2.087700491629842,
          0.5269590806328275,
          -1.3055402526103397,
          0.3756614251905466,
          -0.03635484721351495,
          2.586559428557186,
          -1.0272977082323689,
          1.5416463961032032,
          0.983449556375763,
          -0.4793083193499349,
          -0.7296048904319005,
          -1.7426886364240939,
          1.2319277850955994,
          -0.6288274525736688,
          -1.7481173978358417,
          -0.08216198786968884,
          1.8465522766374558,
          0.3933236559204593,
          -1.3856036919954056,
          -2.820148602061482,
          -2.212293219041369,
          -1.9040290848479127,
          -0.6409220200796886,
          1.5943148728746532,
          0.49326940205983805,
          -0.23945561774099522,
          0.5394755444316203,
          1.9097291960583431,
          -1.8025648992773886,
          -2.009306269738481,
          -0.443012283655355,
          -0.994202047084523,
          -2.4470531620485514,
          0.02697710258525965,
          -0.4895084369136866,
          1.1329559116113566,
          1.2308961785554993,
          1.632654912113028,
          1.7490773959226944,
          1.3010720302148076,
          0.4306819576811415,
          0.8439748706730466,
          1.394094468508074,
          1.4935143316335835,
          -1.9213966136240543,
          -1.7106022418347404,
          0.5930844232058915,
          -1.2454008553438325,
          1.218823322938861,
          1.9815961730492684,
          3.228176388127757,
          1.5359929797182093,
          1.8845133512493086,
          -0.5557330818175675,
          1.7632582380803679,
          0.0007733801339351865,
          -1.7668228761266869,
          -1.210982895634066,
          1.9320317117879384,
          1.2136588990207353,
          -0.920409508081902,
          -0.6795787146003736,
          -0.8904218019676812,
          -0.3032294146780732,
          -0.6723889870614824,
          0.5917441005469325,
          1.0022759643525458,
          -0.5839378209383043,
          0.5282045883276957,
          0.029861177464618416,
          -1.1387516485658002,
          0.9234337922504167,
          -1.78110701315727,
          -0.6633358519884783,
          2.0280977882083,
          -0.3398696526708901,
          0.6396932989618966,
          1.212857367517696,
          1.8444648600403517,
          -1.8037162173375871,
          0.8369217951544439,
          1.8080254709179095,
          0.1454159574937285,
          -0.98848616309659,
          0.00019727273391001443,
          0.6408562580688969,
          -1.1693742005549763,
          -0.1305882866216287,
          -0.9196552187214048,
          -0.19425150241522116,
          1.2667482065171338,
          -2.5434891048823633,
          -0.5511304338007317,
          0.9500261955151671,
          1.5317691143632406,
          0.9834306458471885,
          2.19456573507106,
          0.2592135053754172,
          -1.9953804407674363,
          -2.0274115716939747,
          2.769699134651015,
          2.57343757736877,
          1.9238110975335907,
          -1.7360994850221456,
          0.9430028228643197,
          2.470494864974878,
          -0.7043959092679235,
          -0.04681072388784696,
          0.22039795085590752,
          0.41810351002712987,
          1.4949106795039395,
          -0.75871188300168,
          0.4821487543704097,
          -0.9825591841939711,
          -1.3475768517591231,
          1.9080804080384226,
          0.05340311599237002,
          -1.0379958569532548,
          -1.9537887798680154,
          -1.2800741060989056,
          2.131856776763106,
          1.237946384759997,
          -2.1452515746998535,
          0.8068873026933328,
          -1.4054538629438837,
          -0.46816098511190196,
          -1.4139230691504139,
          1.1722520728860193,
          1.8026138794093534,
          -1.1963012868950216,
          1.2546986467018564,
          0.26297520019243426,
          0.6796982766190642,
          -1.2591560328393163,
          -2.8201929344566774,
          0.3741739402192743,
          0.4459302452970386,
          0.7629285279694065,
          -1.8084235550318297,
          -1.315359964237099,
          2.1213041976348106,
          -1.658127072424907,
          -0.40486372248966396,
          -0.9162191147082366,
          -1.579535620326612,
          1.4843965725584436
         ],
         "xaxis": "x",
         "y": [
          -2.16904330589025,
          -0.979863148407186,
          1.2446528215228985,
          -0.1043716359557505,
          -1.401141426541061,
          -0.11002701376295976,
          1.6899267041126182,
          1.9012104289032337,
          1.4468726675455834,
          2.2218434720787874,
          -1.3435598015634538,
          -1.6657129212518609,
          -0.18856141871140558,
          -0.8636988703414736,
          1.060812861738163,
          -1.9888028427317452,
          1.2387101739842397,
          0.5746924267781698,
          -2.228380923958223,
          -2.141868053380491,
          -1.7332029553962336,
          1.7006642321079617,
          0.6970329683023891,
          -0.4288737153590226,
          -1.1397234113283687,
          -0.06963362562398537,
          2.2039480957035904,
          -1.869320391034658,
          -1.7211635858794785,
          1.2662924661718284,
          0.08212858620258784,
          -1.8796476413534922,
          2.2613330427664287,
          -1.5791513447494117,
          -1.521001910765991,
          -1.5132776028478125,
          -1.8498551068603781,
          -0.8781162045373915,
          1.276664182177821,
          0.5674232242016444,
          2.7365411443186556,
          -0.5924278516373113,
          2.7404407305117173,
          -0.658570192238938,
          -0.6320762054234034,
          -2.0922601552796687,
          -1.6409393756239676,
          0.8744659346424593,
          -1.784230307673987,
          -2.3895886564274362,
          -0.8346249100243124,
          -1.3852394096482628,
          2.1783078470797888,
          -1.9885609996880609,
          -2.1689297952761732,
          -2.410385945462777,
          -2.3183579630108175,
          -1.8004949676825657,
          1.368084296603281,
          -1.076930170949463,
          1.7204834559342979,
          0.9892695545124246,
          -0.314612169432015,
          1.6874312404626362,
          2.218056248564923,
          0.11232847191140416,
          2.128118641690072,
          -1.5929899899517452,
          -0.39688530178995135,
          -1.3261513462639531,
          1.9783080587055382,
          1.658423362376177,
          2.3830768768126527,
          2.207899050557031,
          -1.6684695211278875,
          -2.3156341824882767,
          -1.5927161633249818,
          -0.9836362606323643,
          -2.265286901113978,
          0.9054814560929645,
          -1.122469472654072,
          0.8486921313526852,
          -2.0207341291098175,
          1.1096308380192954,
          2.36033523534076,
          -0.363102551645655,
          -1.1032161510540566,
          -0.04194125062322396,
          -2.2833930677586673,
          -1.0056254652698828,
          1.8605708743223066,
          0.792786114437663,
          -1.350693787954316,
          -0.3379422132356826,
          -2.105753603664111,
          -1.7730050759592535,
          2.1825241187952367,
          1.3851165737691682,
          -0.3717611614852513,
          -1.550665861896647,
          -0.8657010422947921,
          0.7152811900276704,
          -1.9697827069999172,
          -2.515613756399137,
          -0.8833993861522591,
          0.6509585272970435,
          1.7349243986060976,
          -1.8433819818885497,
          -2.130131182105103,
          1.1884121410572037,
          -0.9855950137559277,
          -0.5602973788188673,
          2.1186293569080568,
          -0.35379856725858927,
          -0.8762163935586291,
          1.6677459127435783,
          -1.6952461737782005,
          -0.4590852670151984,
          0.12806578492599754,
          -1.1036921409316196,
          0.7698389355046773,
          2.1046921192701364,
          -0.8286615119372713,
          2.1510833140824133,
          1.6636407595129046,
          1.79816435121025,
          2.2595834111710174,
          -0.9258795841028562,
          1.1505375801967226,
          -0.7578087009937673,
          2.068642534034289,
          -0.3157087146380313,
          1.949656257343563,
          -2.2871355716127155,
          1.3898007800719616,
          0.2889507336028134,
          -0.4390293840208738,
          2.3535027316182977,
          0.8735357274687727,
          0.5228718928100047,
          -0.5474808525751577,
          1.850672544252722,
          -1.0323408439360744,
          0.4222871226513388,
          1.2920438575519506,
          -0.658008053059925,
          -1.5518241318192807,
          -0.05936959540150255,
          -0.07925828589510384,
          -0.016888173696085418,
          0.2479928597060801,
          -0.8244333447850286,
          -1.5449598140476253,
          1.1096895643400895,
          0.8355031965767715,
          -1.8753145783049798,
          -1.6930018339231057,
          1.0587074672570518,
          1.250648873078005,
          -2.683680343493281,
          -1.1948519461763358,
          2.2432598042632956,
          2.0883291053145396,
          -1.6639989696593838,
          2.4538176465201533,
          -1.2547348624200494,
          1.3632932057385385,
          1.1416852318988469,
          -2.174600681312596,
          0.8440664525264151,
          1.146116876624397,
          -1.916907408744093,
          -1.7159863155101263,
          2.5991822054677476,
          -0.16298802666596113,
          1.9308773593055797,
          -0.797116710416836,
          -1.5137160839654367,
          1.2071223235984379,
          -0.6910609570393975,
          1.6073734234654387,
          1.007145277167506,
          -1.8467390608301282,
          1.9527098044099784,
          -0.6880286289691574,
          0.2263020300531856,
          0.622946361571823,
          -0.2687601219608679,
          -2.1206474521856498,
          1.8286348889961757,
          -0.2094318237319412,
          -1.8043849300946921,
          1.9391409312551091,
          1.8027833667238615,
          -1.5440887714520333,
          1.010673960389165,
          1.3755457019177006,
          0.5165600071444345,
          -1.928792523328538,
          2.319888660312667,
          2.6073534784119183,
          1.2047896925560644,
          1.8582001513434383,
          -1.949628212934355,
          0.9096299508768115,
          -1.324600997025448,
          1.7430295595452,
          0.7254704840730736,
          -0.784593368271266,
          -0.27515323887241855,
          -0.5816627035584205,
          2.6313516206515866,
          -2.320519361683289,
          2.410095112495973,
          -1.3676813200699063,
          0.1370753713156796,
          -1.8989215349373954,
          0.5119598742143259,
          2.4120346898901546,
          -0.012273003605088373,
          -1.2196393760335424,
          1.4834263529147513,
          -1.7586720033860324,
          0.7761540086382996,
          1.0911483868342127,
          -1.3251398582668052,
          1.706955877465254,
          2.6514442455768483,
          -2.0483103015910538,
          -1.8342651771953444,
          -0.7185148708936029,
          -2.0867424215958237,
          -1.0125307680837334,
          -1.9816571287953453,
          -1.4873792195191746,
          -2.013727921255767,
          -0.5483371963998606,
          -0.8892989616639932,
          -2.0795795378665543,
          0.8869515820791178,
          1.3377348650228187,
          -1.6202906358096318,
          2.2502742100406836,
          -1.9843492098761997,
          2.0028196206058477,
          -0.8432371144056596,
          -1.5779989225956932,
          -2.4165164384633644,
          -0.9242191407242372,
          0.21766763103034736,
          1.1773511637888658,
          -1.633522672286063,
          0.07894717336958257,
          -2.147782466367344,
          0.05524925187557722,
          -1.6659622607415332,
          0.45620284566591063,
          1.276100148112069,
          0.6727314300738939,
          -0.1883863913309789,
          -0.4417112467333083,
          1.2590988104526082,
          -1.3967796370860088,
          -0.05270963091396702,
          1.0762405107071866,
          -1.9922918448178628,
          1.8355444235507627,
          -1.7235998761669689,
          -1.0951879541519534,
          -0.6157593226014437,
          -2.045492510601244,
          2.1637063817624975,
          -1.4899745496226962,
          -2.779567764650759,
          1.0892825114118507,
          -1.1917333103033079,
          0.4376835751572467,
          1.9089423505954124,
          1.0414746221213156,
          1.7339554730263023,
          -0.21793937075418648,
          2.1226735275935487,
          1.559804897508855,
          2.3606971027750148,
          -0.5602496541579444,
          1.2183276329002186,
          0.22675721621171585,
          0.6702100485736949,
          2.1236228238949852,
          2.8614559453211887,
          2.4076800234155753,
          -2.6005922004684328,
          -0.24692708771022134,
          0.6785617076867003,
          -1.0367945896851665,
          -2.0007515610400515,
          1.5104652262675335,
          1.9311550747187827,
          0.2585561529706566,
          1.2052171567619516,
          -2.0223461933000335,
          2.1559357899923555,
          0.35113095249010945,
          1.769167045220141
         ],
         "yaxis": "y"
        },
        {
         "hovertemplate": "value=1<br>variable=LR<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "1",
         "marker": {
          "color": "#EF553B",
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "1",
         "showlegend": false,
         "type": "scattergl",
         "x": [
          1.2161660132710235,
          1.7276528994837215,
          -0.5650523897221454,
          1.6413171507303252,
          -0.296093420990276,
          0.15073577634709934,
          0.6781951359852729,
          0.10243448324884358,
          1.0288065095722856,
          0.2896633524819163,
          1.8977088390818109,
          0.1654995464559705,
          0.9576444918066123,
          1.4813809036042875,
          1.6705879464651077,
          1.0143841881282976,
          1.4790177769847683,
          1.0048475957858645,
          0.6700436133746195,
          -0.7206813814261095,
          0.13125609273181554,
          0.17353715494187663,
          0.3213226610435037,
          0.9634232970282797,
          1.3135229568822748,
          0.2210337696839605,
          1.2575443130102761,
          0.5065375598516173,
          -0.1515361457231683,
          0.3969076026079814,
          0.24865644387017843,
          1.2120229946402894,
          0.8873912687847187,
          1.4866702814982073,
          1.4706665288918563,
          0.14172332704325502,
          1.5951879603038799,
          0.44025252271556276,
          0.9852872747373254,
          0.8149095075768225,
          0.74514422766251,
          0.7570091044591615,
          1.3551558555785017,
          1.1885327973824689,
          0.0009613026386510182,
          0.2684487920370873,
          1.2699455362334993,
          -0.9352823556092318,
          -0.34525424811176375,
          -1.1963970233678258,
          0.6231409158217567,
          2.138369327897423,
          0.7541440793569719,
          0.36201211455763693,
          0.16746711628439157,
          0.7082541213396861,
          0.5017192776369106,
          0.6298028667468023,
          0.684930946001159,
          -0.5072953507724862,
          -0.7629961471951947,
          -0.2194971556915996,
          1.7713350796680922,
          0.331926112517347,
          0.044845547385124696,
          0.5313373768177536,
          0.7868601090977789,
          0.7662155241070578,
          2.0482994359864026,
          0.6433681214330742,
          -0.5816875454510945,
          2.2628376534196195,
          0.5835588826278372,
          1.0377227968169889,
          0.18423606747673543,
          2.532963332194703,
          1.6419226620070706,
          0.7481215299814237,
          0.4284800057577586,
          0.1053819568759109,
          1.7739244007503854,
          1.2623668282695362,
          0.10850680908216809,
          1.785717422729617,
          -0.967825665622436,
          1.6649810982721225,
          0.3302528913741797,
          0.3757868929785175,
          1.052030188896767,
          2.4811104303063543,
          -0.9638549634949845,
          0.9482828329963269,
          -0.17416518477141366,
          1.604923525748615,
          -0.16679992317618816,
          -0.40761866274880176,
          1.5267123065328787,
          0.573343463739551,
          0.09660543549537758,
          1.413201091813646,
          0.1716399358514166,
          -1.0699098418642783,
          -0.16181946814755863,
          1.7741945251476439,
          0.23978074766324492,
          1.0206619002821065,
          0.07786995803184699,
          -0.8619865646410078,
          2.2801966213107394,
          0.6937404438038982,
          1.6809109011293846,
          2.9485870555849933,
          -0.013359477266450967,
          2.6890839527222,
          0.42149862263833854,
          0.22652936290681808,
          0.996035284712802,
          2.2505273393595964,
          0.3164709716679287,
          0.18104537611509589,
          0.3756614251905466,
          -0.03635484721351495,
          2.586559428557186,
          -1.0272977082323689,
          1.5416463961032032,
          0.983449556375763,
          -0.4793083193499349,
          1.2319277850955994,
          0.21801795447530675,
          0.8084177586669168,
          -0.08216198786968884,
          1.8465522766374558,
          0.3933236559204593,
          0.37239533900214267,
          -0.6409220200796886,
          1.5943148728746532,
          -0.23945561774099522,
          1.9097291960583431,
          0.25749288220065686,
          -0.994202047084523,
          -0.4895084369136866,
          0.8936762178827662,
          0.5003873519183171,
          0.41616361347195263,
          1.1329559116113566,
          1.632654912113028,
          1.7490773959226944,
          1.3010720302148076,
          0.8439748706730466,
          1.394094468508074,
          1.4935143316335835,
          0.8022717728742715,
          0.5930844232058915,
          1.218823322938861,
          1.9815961730492684,
          3.228176388127757,
          1.5359929797182093,
          0.5477782199289895,
          0.8106540718621761,
          1.8845133512493086,
          -0.5557330818175675,
          0.0007733801339351865,
          0.26550039195070396,
          1.2136588990207353,
          -0.920409508081902,
          0.4779705543753368,
          -0.3032294146780732,
          1.3775557279028352,
          0.5917441005469325,
          0.44312270971564455,
          0.4532753151089908,
          1.0022759643525458,
          0.5789380604819077,
          0.5282045883276957,
          0.029861177464618416,
          2.0280977882083,
          0.27371965977462,
          -0.15615006692577163,
          1.8444648600403517,
          1.8080254709179095,
          0.9109761559861267,
          0.1454159574937285,
          0.00019727273391001443,
          -0.5759351897260311,
          -1.1693742005549763,
          0.6536802677663524,
          -0.1537910712861464,
          1.2667482065171338,
          0.4478486527711405,
          -0.5511304338007317,
          0.724691378496465,
          1.5317691143632406,
          2.19456573507106,
          0.28919864611225365,
          0.821181040575347,
          2.769699134651015,
          2.57343757736877,
          0.9923649013682478,
          -0.44940409462846875,
          1.9238110975335907,
          0.4236013789445714,
          2.470494864974878,
          0.5327937832925008,
          0.22039795085590752,
          1.4949106795039395,
          1.0270097521855812,
          1.0307584431565335,
          -0.9825591841939711,
          0.05340311599237002,
          0.33469535243989856,
          -1.2800741060989056,
          2.131856776763106,
          1.237946384759997,
          0.8068873026933328,
          -0.46816098511190196,
          -0.24865332979929045,
          1.1722520728860193,
          1.8026138794093534,
          0.6524334105765499,
          1.2546986467018564,
          0.26297520019243426,
          0.6796982766190642,
          0.3741739402192743,
          -1.315359964237099,
          0.5881095786989503,
          0.10992151650816294,
          2.1213041976348106,
          0.983961549017558,
          -0.9162191147082366,
          1.4843965725584436
         ],
         "xaxis": "x2",
         "y": [
          0.3475378038625893,
          -0.979863148407186,
          1.2446528215228985,
          -1.401141426541061,
          1.6899267041126182,
          1.9012104289032337,
          1.4468726675455834,
          2.2218434720787874,
          -0.3629374303837596,
          0.14410972475952805,
          -0.18856141871140558,
          0.6377825232314078,
          1.060812861738163,
          1.2387101739842397,
          0.5746924267781698,
          1.7006642321079617,
          -0.4288737153590226,
          -0.5395724187320632,
          2.2039480957035904,
          2.2613330427664287,
          0.35799684556930367,
          0.6628842533539527,
          0.011149122226206912,
          -0.46085487875511344,
          -0.4170964736905659,
          0.1119700280053812,
          -0.8781162045373915,
          0.5917837116349872,
          1.276664182177821,
          0.03790073041803833,
          2.7365411443186556,
          -0.29866834909259615,
          2.7404407305117173,
          -0.658570192238938,
          -0.6320762054234034,
          0.9958121750957198,
          0.8744659346424593,
          0.1656200607315031,
          2.1783078470797888,
          -0.12654332627613574,
          0.19553729902729744,
          0.09763564519350536,
          0.48563074842327664,
          -0.5216036560053215,
          1.7204834559342979,
          0.11919059297694097,
          1.6874312404626362,
          2.218056248564923,
          0.9053860932706144,
          2.128118641690072,
          0.424260103405385,
          -0.39688530178995135,
          -0.4674887902830819,
          0.06758823311336379,
          0.3581209756659392,
          -0.25435333011999434,
          0.6147428182937036,
          0.9472778416715602,
          1.9783080587055382,
          1.658423362376177,
          2.3830768768126527,
          2.207899050557031,
          0.9054814560929645,
          0.2415969592688776,
          0.8486921313526852,
          0.09963165524311567,
          2.36033523534076,
          -0.1657371648457404,
          -0.04194125062322396,
          -0.2292799785044729,
          1.8605708743223066,
          -1.350693787954316,
          -0.19374477899640336,
          0.1696403674470744,
          0.40909460083772564,
          2.1825241187952367,
          1.3851165737691682,
          -0.22226694497712765,
          0.3413956732516022,
          0.40017518170791405,
          -1.550665861896647,
          0.7152811900276704,
          1.8054934226963117,
          0.6509585272970435,
          1.7349243986060976,
          1.1884121410572037,
          0.4156300252034059,
          0.4255927683762959,
          1.6677459127435783,
          -0.4590852670151984,
          2.1046921192701364,
          0.6875267786098994,
          2.1510833140824133,
          1.6636407595129046,
          1.3745685063160695,
          2.2595834111710174,
          -0.9258795841028562,
          -0.1805704122032663,
          0.8162461806823834,
          2.068642534034289,
          0.32238932771673956,
          1.949656257343563,
          1.3898007800719616,
          0.5228718928100047,
          0.5880942952129316,
          0.3413680954665451,
          1.850672544252722,
          1.424689507006326,
          0.4222871226513388,
          -0.18934982396726882,
          -0.05936959540150255,
          -0.07925828589510384,
          0.4124026155886694,
          0.2479928597060801,
          -0.08063850188607251,
          0.3594744167529408,
          -0.1516346041419327,
          -1.8753145783049798,
          0.08038666533228025,
          0.38583622477109747,
          2.2432598042632956,
          2.0883291053145396,
          -1.6639989696593838,
          2.4538176465201533,
          -1.2547348624200494,
          1.3632932057385385,
          1.1416852318988469,
          1.146116876624397,
          0.3592474419116588,
          0.16104274356014175,
          2.5991822054677476,
          -0.16298802666596113,
          1.9308773593055797,
          0.2625282136249597,
          1.6073734234654387,
          1.007145277167506,
          1.9527098044099784,
          0.2263020300531856,
          0.24498490133695183,
          1.8286348889961757,
          1.9391409312551091,
          -0.13591529202399755,
          -0.10248026089651982,
          -0.03676472867287724,
          1.8027833667238615,
          1.010673960389165,
          1.3755457019177006,
          0.5165600071444345,
          2.319888660312667,
          2.6073534784119183,
          1.2047896925560644,
          0.9520123247562159,
          0.9096299508768115,
          1.7430295595452,
          0.7254704840730736,
          -0.784593368271266,
          -0.27515323887241855,
          0.19018769483715844,
          0.07546865970737654,
          -0.5816627035584205,
          2.6313516206515866,
          2.410095112495973,
          0.44974799101616103,
          0.5119598742143259,
          2.4120346898901546,
          0.6187122325364991,
          1.4834263529147513,
          0.5713328023658393,
          0.7761540086382996,
          0.2665641690877568,
          0.35831087671731543,
          1.0911483868342127,
          0.45911302318739433,
          1.706955877465254,
          2.6514442455768483,
          -1.0125307680837334,
          0.0551454154388436,
          0.6872085636687122,
          -0.5483371963998606,
          0.8869515820791178,
          0.5396657963437477,
          1.3377348650228187,
          2.2502742100406836,
          1.2809567976341765,
          2.0028196206058477,
          0.4478377556728827,
          1.1717262067206655,
          -0.9242191407242372,
          0.5500542326468046,
          1.1773511637888658,
          0.7864113764261401,
          0.07894717336958257,
          0.05524925187557722,
          0.38313263881942444,
          -0.5719099222081838,
          0.6727314300738939,
          -0.1883863913309789,
          0.5363906280582116,
          0.9335955400322155,
          -0.4417112467333083,
          0.4086137830157818,
          -0.05270963091396702,
          0.15833620082910466,
          1.8355444235507627,
          -1.0951879541519534,
          0.004264013103378025,
          -0.38223804323734145,
          2.1637063817624975,
          1.0892825114118507,
          0.8343065868698916,
          1.9089423505954124,
          1.0414746221213156,
          1.7339554730263023,
          2.1226735275935487,
          2.3606971027750148,
          1.4663962191777553,
          1.2183276329002186,
          0.22675721621171585,
          -0.21182140778859165,
          2.1236228238949852,
          2.8614559453211887,
          2.4076800234155753,
          0.6785617076867003,
          1.9311550747187827,
          -0.08556618302813754,
          0.3734416346618563,
          0.2585561529706566,
          0.2507001178521988,
          2.1559357899923555,
          1.769167045220141
         ],
         "yaxis": "y2"
        },
        {
         "hovertemplate": "value=1<br>variable=SVM_linear<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "1",
         "marker": {
          "color": "#EF553B",
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "1",
         "showlegend": false,
         "type": "scattergl",
         "x": [
          1.2161660132710235,
          0.15073577634709934,
          0.6781951359852729,
          0.10243448324884358,
          1.8977088390818109,
          0.9576444918066123,
          1.4813809036042875,
          1.6705879464651077,
          1.0143841881282976,
          1.4790177769847683,
          0.6700436133746195,
          0.24865644387017843,
          0.8873912687847187,
          1.5951879603038799,
          0.9852872747373254,
          1.3551558555785017,
          0.0009613026386510182,
          1.2699455362334993,
          2.138369327897423,
          0.6298028667468023,
          0.684930946001159,
          -0.7629961471951947,
          -0.2194971556915996,
          1.7713350796680922,
          0.7868601090977789,
          2.0482994359864026,
          2.2628376534196195,
          1.0377227968169889,
          2.532963332194703,
          1.6419226620070706,
          1.2623668282695362,
          0.10850680908216809,
          1.785717422729617,
          1.6649810982721225,
          1.052030188896767,
          2.4811104303063543,
          0.9482828329963269,
          -0.17416518477141366,
          1.604923525748615,
          -0.40761866274880176,
          1.413201091813646,
          1.7741945251476439,
          1.0206619002821065,
          0.07786995803184699,
          2.2801966213107394,
          1.6809109011293846,
          2.9485870555849933,
          2.6890839527222,
          0.3756614251905466,
          -0.03635484721351495,
          2.586559428557186,
          0.983449556375763,
          1.2319277850955994,
          -0.08216198786968884,
          1.8465522766374558,
          0.3933236559204593,
          1.5943148728746532,
          -0.23945561774099522,
          1.9097291960583431,
          1.1329559116113566,
          1.632654912113028,
          1.7490773959226944,
          1.3010720302148076,
          0.8439748706730466,
          1.394094468508074,
          1.4935143316335835,
          0.8022717728742715,
          0.5930844232058915,
          1.218823322938861,
          1.9815961730492684,
          3.228176388127757,
          1.5359929797182093,
          1.8845133512493086,
          -0.5557330818175675,
          0.0007733801339351865,
          1.2136588990207353,
          1.3775557279028352,
          0.5917441005469325,
          1.0022759643525458,
          0.5282045883276957,
          0.029861177464618416,
          2.0280977882083,
          1.8444648600403517,
          1.8080254709179095,
          0.9109761559861267,
          0.1454159574937285,
          0.00019727273391001443,
          0.724691378496465,
          1.5317691143632406,
          2.19456573507106,
          2.769699134651015,
          2.57343757736877,
          0.9923649013682478,
          1.9238110975335907,
          2.470494864974878,
          0.22039795085590752,
          2.131856776763106,
          1.237946384759997,
          0.8068873026933328,
          -0.46816098511190196,
          1.1722520728860193,
          1.8026138794093534,
          1.2546986467018564,
          0.26297520019243426,
          0.6796982766190642,
          2.1213041976348106,
          0.983961549017558,
          1.4843965725584436
         ],
         "xaxis": "x3",
         "y": [
          0.3475378038625893,
          1.9012104289032337,
          1.4468726675455834,
          2.2218434720787874,
          -0.18856141871140558,
          1.060812861738163,
          1.2387101739842397,
          0.5746924267781698,
          1.7006642321079617,
          -0.4288737153590226,
          2.2039480957035904,
          2.7365411443186556,
          2.7404407305117173,
          0.8744659346424593,
          2.1783078470797888,
          0.48563074842327664,
          1.7204834559342979,
          1.6874312404626362,
          -0.39688530178995135,
          0.9472778416715602,
          1.9783080587055382,
          2.3830768768126527,
          2.207899050557031,
          0.9054814560929645,
          2.36033523534076,
          -0.04194125062322396,
          -1.350693787954316,
          0.1696403674470744,
          2.1825241187952367,
          1.3851165737691682,
          0.7152811900276704,
          1.8054934226963117,
          0.6509585272970435,
          1.1884121410572037,
          1.6677459127435783,
          -0.4590852670151984,
          0.6875267786098994,
          2.1510833140824133,
          1.6636407595129046,
          2.2595834111710174,
          2.068642534034289,
          0.5228718928100047,
          0.3413680954665451,
          1.850672544252722,
          0.4222871226513388,
          -0.05936959540150255,
          -0.07925828589510384,
          0.2479928597060801,
          2.2432598042632956,
          2.0883291053145396,
          -1.6639989696593838,
          1.3632932057385385,
          1.146116876624397,
          2.5991822054677476,
          -0.16298802666596113,
          1.9308773593055797,
          1.007145277167506,
          1.9527098044099784,
          0.2263020300531856,
          1.8027833667238615,
          1.010673960389165,
          1.3755457019177006,
          0.5165600071444345,
          2.319888660312667,
          2.6073534784119183,
          1.2047896925560644,
          0.9520123247562159,
          0.9096299508768115,
          1.7430295595452,
          0.7254704840730736,
          -0.784593368271266,
          -0.27515323887241855,
          -0.5816627035584205,
          2.6313516206515866,
          2.410095112495973,
          0.5119598742143259,
          0.5713328023658393,
          0.7761540086382996,
          1.0911483868342127,
          1.706955877465254,
          2.6514442455768483,
          -1.0125307680837334,
          -0.5483371963998606,
          0.8869515820791178,
          0.5396657963437477,
          1.3377348650228187,
          2.2502742100406836,
          0.7864113764261401,
          0.07894717336958257,
          0.05524925187557722,
          0.6727314300738939,
          -0.1883863913309789,
          0.5363906280582116,
          -0.4417112467333083,
          -0.05270963091396702,
          1.8355444235507627,
          1.0414746221213156,
          1.7339554730263023,
          2.1226735275935487,
          2.3606971027750148,
          1.2183276329002186,
          0.22675721621171585,
          2.1236228238949852,
          2.8614559453211887,
          2.4076800234155753,
          0.2585561529706566,
          0.2507001178521988,
          1.769167045220141
         ],
         "yaxis": "y3"
        }
       ],
       "layout": {
        "annotations": [
         {
          "font": {},
          "showarrow": false,
          "text": "variable=label",
          "x": 0.15999999999999998,
          "xanchor": "center",
          "xref": "paper",
          "y": 1,
          "yanchor": "bottom",
          "yref": "paper"
         },
         {
          "font": {},
          "showarrow": false,
          "text": "variable=LR",
          "x": 0.49999999999999994,
          "xanchor": "center",
          "xref": "paper",
          "y": 1,
          "yanchor": "bottom",
          "yref": "paper"
         },
         {
          "font": {},
          "showarrow": false,
          "text": "variable=SVM_linear",
          "x": 0.8399999999999999,
          "xanchor": "center",
          "xref": "paper",
          "y": 1,
          "yanchor": "bottom",
          "yref": "paper"
         }
        ],
        "legend": {
         "title": {
          "text": "value"
         },
         "tracegroupgap": 0
        },
        "margin": {
         "t": 60
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "fillpattern": {
             "fillmode": "overlay",
             "size": 10,
             "solidity": 0.2
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "xaxis": {
         "anchor": "y",
         "domain": [
          0,
          0.31999999999999995
         ],
         "title": {
          "text": "x1"
         }
        },
        "xaxis2": {
         "anchor": "y2",
         "domain": [
          0.33999999999999997,
          0.6599999999999999
         ],
         "matches": "x",
         "title": {
          "text": "x1"
         }
        },
        "xaxis3": {
         "anchor": "y3",
         "domain": [
          0.6799999999999999,
          0.9999999999999999
         ],
         "matches": "x",
         "title": {
          "text": "x1"
         }
        },
        "yaxis": {
         "anchor": "x",
         "domain": [
          0,
          1
         ],
         "scaleanchor": "x",
         "scaleratio": 1,
         "title": {
          "text": "x2"
         }
        },
        "yaxis2": {
         "anchor": "x2",
         "domain": [
          0,
          1
         ],
         "matches": "y",
         "scaleanchor": "x",
         "scaleratio": 1,
         "showticklabels": false
        },
        "yaxis3": {
         "anchor": "x3",
         "domain": [
          0,
          1
         ],
         "matches": "y",
         "scaleanchor": "x",
         "scaleratio": 1,
         "showticklabels": false
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = px.scatter(\n",
    "    Xy_test.melt(id_vars=['x1','x2'],value_vars=['label','LR','SVM_linear']),\n",
    "    x='x1',\n",
    "    y='x2',\n",
    "    facet_col='variable',\n",
    "    color='value'\n",
    ")\n",
    "fig.update_yaxes(\n",
    "    scaleanchor='x',\n",
    "    scaleratio=1\n",
    ")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that both linear methods can only try to separate the two classes by a line. Since data cannot be separated by a line, the prediction accuracy is poor."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Nonlinear methods\n",
    "\n",
    "Let us try to classify the two classes by non-linear methods, which include\n",
    "* Decision tree and its related models\n",
    "* SVM to rbf kernel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For DecisionTree cross validation F1 score is 0.9390\n",
      "For XGBoost cross validation F1 score is 0.9493\n",
      "For SVM_rbf cross validation F1 score is 0.9493\n"
     ]
    }
   ],
   "source": [
    "nonlinear_models = {\n",
    "    'DecisionTree':DTC(criterion='entropy'),\n",
    "    'XGBoost':XGBC(),\n",
    "    'SVM_rbf':SVC(kernel='rbf')\n",
    "}\n",
    "\n",
    "stratifiedCV = StratifiedKFold(n_splits=8)\n",
    "\n",
    "\n",
    "params = {\n",
    "    'DecisionTree':{\n",
    "        'max_depth':np.arange(start=1,stop=10)\n",
    "    },\n",
    "    'XGBoost':{\n",
    "        'n_estimators':np.arange(start=2,stop=20,step=2),\n",
    "        'max_depth':np.arange(start=2,stop=6),\n",
    "        'learning_rate':np.arange(start=0.05,stop=0.4,step=0.05)\n",
    "    },\n",
    "    'SVM_rbf':{\n",
    "        'C':np.arange(0.5,5,step=0.5)\n",
    "    }\n",
    "}\n",
    "\n",
    "records = {}\n",
    "\n",
    "for model in nonlinear_models:\n",
    "    BestParams = GridSearchCV(\n",
    "        nonlinear_models[model],\n",
    "        param_grid = params[model],\n",
    "        scoring='f1',\n",
    "        cv=stratifiedCV,\n",
    "        n_jobs=-1\n",
    "    )\n",
    "    BestParams.fit(X_train,y_train)\n",
    "    Xy_test[model] = BestParams.predict(X_test).astype(str)\n",
    "    records[model] = BestParams\n",
    "    print('For {} cross validation F1 score is {:.4f}'.format(model,BestParams.best_score_))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "data": [
        {
         "hovertemplate": "value=0<br>variable=label<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "0",
         "marker": {
          "color": "#636efa",
          "size": 5,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "0",
         "showlegend": true,
         "type": "scattergl",
         "x": [
          -0.19907919139746308,
          0.1322954607890312,
          -0.11181976644843417,
          1.2161660132710235,
          -0.3429860701469649,
          0.22305260173343316,
          -0.784014727545806,
          0.10659096717431134,
          1.0288065095722856,
          -0.22377715227350753,
          0.2896633524819163,
          -0.4112642442202904,
          -0.10715388269271563,
          0.1654995464559705,
          0.04956799296833819,
          0.36511352417817206,
          0.13042987725360966,
          1.0048475957858645,
          -0.4370351773210312,
          -0.2995685913728074,
          -0.13540129428067704,
          -0.9366832658556437,
          -0.5833641536623541,
          -0.3782248194202176,
          0.13125609273181554,
          0.17353715494187663,
          0.3213226610435037,
          0.9634232970282797,
          1.3135229568822748,
          -0.018658587442924035,
          0.2210337696839605,
          0.5065375598516173,
          -0.4733162726392428,
          -0.3388401388918002,
          0.3969076026079814,
          1.2120229946402894,
          0.5967669286965589,
          -0.946353776492931,
          -0.6056169494223168,
          0.14172332704325502,
          0.44025252271556276,
          0.0005928507604545247,
          -0.7940706854532569,
          0.21192366634840723,
          0.8149095075768225,
          -0.05199493581542798,
          -0.5180875741452886,
          -1.317738986123144,
          0.12037842786576926,
          0.74514422766251,
          -0.31503778369791563,
          -0.00189469296999778,
          0.7570091044591615,
          1.3551558555785017,
          -0.6339964502348415,
          -0.49008567381481455,
          1.1885327973824689,
          -0.14531918440565145,
          0.2684487920370873,
          -0.34525424811176375,
          0.10869873855842113,
          0.6231409158217567,
          -0.059548510018938496,
          -0.23751667286587919,
          -0.24502520453451382,
          -0.11557436447133158,
          0.7541440793569719,
          -0.2011259915815203,
          0.36201211455763693,
          0.16746711628439157,
          0.7082541213396861,
          0.5017192776369106,
          -0.3175157575728196,
          0.6298028667468023,
          0.4898545909522935,
          -0.05993312479098901,
          -0.2283789472740602,
          0.18266863540304745,
          0.331926112517347,
          0.37410708829040684,
          -0.6048125926667779,
          -0.22592131763324041,
          0.5313373768177536,
          -0.6260614556327057,
          -0.5117061338625019,
          -0.5435058755849399,
          -0.14367214891236957,
          0.7662155241070578,
          0.6433681214330742,
          0.2232306132648039,
          0.5809894016554942,
          -0.3233886243512595,
          0.08737497469169393,
          0.5835588826278372,
          1.0377227968169889,
          -0.823959176694629,
          0.18423606747673543,
          -0.5178243226762598,
          0.19393809489276523,
          -0.05035092366137591,
          0.7481215299814237,
          0.06201610126329335,
          -0.40275798178618993,
          0.4284800057577586,
          0.1053819568759109,
          -0.4160138009596356,
          0.10850680908216809,
          -0.19336203153300596,
          -0.8853655095770137,
          -0.06997302915531048,
          0.19082267101896255,
          -0.4088624883268571,
          -0.6943978106970096,
          -0.06868206938100248,
          0.3302528913741797,
          -0.49731630993648235,
          0.3757868929785175,
          0.5114311427909182,
          0.9482828329963269,
          -0.16679992317618816,
          -0.44110426393245833,
          0.2729522960279435,
          -0.025661034796783683,
          0.573343463739551,
          0.09660543549537758,
          -0.8511458073569258,
          -0.2107982998605533,
          0.1716399358514166,
          0.23978074766324492,
          -0.42294492593645844,
          1.0206619002821065,
          -0.5809880404306388,
          -0.43096273243998173,
          -0.17003777328525638,
          -0.448351999765027,
          -0.22993330234623682,
          0.5330993015020491,
          -0.8619865646410078,
          -0.2718215455977709,
          -0.2243488390565433,
          0.22649713589575565,
          0.6937404438038982,
          -0.1255680097443713,
          -0.5666351208896058,
          -0.432402932244764,
          -0.0008267459760732156,
          -0.015790811261035126,
          -0.7752129207629762,
          -0.013359477266450967,
          0.42149862263833854,
          0.13548107685648608,
          0.22652936290681808,
          0.03883681154062765,
          0.996035284712802,
          0.3164709716679287,
          -0.13281568518635045,
          0.18104537611509589,
          -0.09801921009110168,
          -0.46681390953361074,
          0.14985171054114943,
          0.14432082607281743,
          -0.8154270407355687,
          0.21801795447530675,
          0.09734412085086117,
          0.36136409141323084,
          0.8084177586669168,
          -0.8770937330805337,
          -0.8149991676844731,
          0.25710551195113485,
          0.350636880122824,
          0.37239533900214267,
          -0.5000469728244504,
          0.6263065451755744,
          -0.4253438739892775,
          0.22745843866456333,
          0.25749288220065686,
          0.5151440293847345,
          -0.007592806091623189,
          -0.3861779621308794,
          0.8936762178827662,
          0.5003873519183171,
          0.41616361347195263,
          -0.5265671101310532,
          0.4671463032804496,
          0.13619772018186221,
          0.02306595429644371,
          -0.5357268032756213,
          -0.13931271465484446,
          0.8022717728742715,
          0.3342844996321778,
          -1.3700304739784497,
          0.36397986554306655,
          -0.10462309225658142,
          -0.21105056890857404,
          -0.06059932268366912,
          -0.6173296834032321,
          0.5477782199289895,
          0.8106540718621761,
          -0.722585158015875,
          -0.3085598928863393,
          -0.3102132548344842,
          0.26550039195070396,
          0.11029039125135177,
          0.06341886451184228,
          -0.07844632999433362,
          0.4779705543753368,
          -0.0021992470876829803,
          1.3775557279028352,
          0.44312270971564455,
          0.4532753151089908,
          -1.076567437798459,
          0.38395411117305495,
          -0.11899249318591686,
          -0.6678223660976945,
          0.294285864247223,
          0.044921333622868424,
          -0.5626894117810274,
          0.5789380604819077,
          -0.3428079783501512,
          -0.34480373378124446,
          -0.15271711104838742,
          -0.579720633823066,
          -0.0761315443437992,
          0.27371965977462,
          -0.3573288947799758,
          -0.4343382279867491,
          0.14340999998190745,
          -0.15615006692577163,
          -1.2904882585220878,
          0.9109761559861267,
          -0.5759351897260311,
          0.4884250483549508,
          0.39594215554199674,
          0.6536802677663524,
          0.07996091957124059,
          -0.1537910712861464,
          -0.8286675475458622,
          0.4478486527711405,
          -0.4942884793961875,
          0.724691378496465,
          -1.0323080828155342,
          -0.5253100221891367,
          0.5402018551956154,
          -0.5937890735796798,
          -0.40226505937999574,
          0.28919864611225365,
          -0.5503712170692341,
          0.821181040575347,
          -0.7565214459663111,
          0.9923649013682478,
          -0.1590657080949345,
          -0.4524494433370847,
          0.25054906616274286,
          -0.8020895839523046,
          -0.19997347921454633,
          -0.44940409462846875,
          0.4236013789445714,
          0.37548748760459155,
          -0.8232255822532358,
          0.5327937832925008,
          0.26557115563601824,
          -0.7610425102278291,
          -0.5542679881536583,
          -0.5612654468773459,
          0.26672790273225755,
          1.0270097521855812,
          0.15594137771044306,
          1.0307584431565335,
          -0.498066531601453,
          0.4027912115633624,
          -0.7019945914542038,
          -0.5561128331454888,
          0.03005284287795296,
          0.33469535243989856,
          -0.09155264134501143,
          -0.5863517179366947,
          -0.9628011068049607,
          -0.24865332979929045,
          -0.4021110413944353,
          0.6524334105765499,
          0.0646018484089699,
          -1.1871188571597524,
          -0.5702945547570273,
          -0.19890991122218232,
          0.47669022740214767,
          -0.25666100652075163,
          -0.1960463678435741,
          0.5881095786989503,
          0.10992151650816294,
          -0.35093905644183565,
          -0.22944577603086824,
          0.983961549017558,
          -0.22979246056183128,
          -0.06880377700989147,
          0.07938372953596493,
          0.2007272548466714
         ],
         "xaxis": "x",
         "y": [
          0.11003251539051036,
          0.03044516752349187,
          0.2359746720688815,
          0.3475378038625893,
          -0.3577040992857995,
          -0.03582110800885659,
          0.5543406488719718,
          -0.12216873499619336,
          -0.3629374303837596,
          0.2065054674146787,
          0.14410972475952805,
          0.37954729314821034,
          0.025046961483818832,
          0.6377825232314078,
          0.2936822910228181,
          -0.0950852795928783,
          -0.20005328026718075,
          -0.5395724187320632,
          0.08514220027145841,
          -0.6868758191934142,
          -0.0690372256298451,
          -0.29435160429558915,
          0.7203526057015783,
          0.4365964143695256,
          0.35799684556930367,
          0.6628842533539527,
          0.011149122226206912,
          -0.46085487875511344,
          -0.4170964736905659,
          -0.6075054633316931,
          0.1119700280053812,
          0.5917837116349872,
          -0.00538281052849475,
          -0.4909860973484518,
          0.03790073041803833,
          -0.29866834909259615,
          -1.0461460138839214,
          0.18235146343536274,
          -0.8556458487887977,
          0.9958121750957198,
          0.1656200607315031,
          -0.15864546835373763,
          -0.19621822032744135,
          0.005495372525217507,
          -0.12654332627613574,
          -0.5355180995721426,
          -0.18487895839476937,
          0.8821649926824079,
          0.06955972611510945,
          0.19553729902729744,
          -0.39042064454099606,
          0.33092568112493914,
          0.09763564519350536,
          0.48563074842327664,
          -0.06379279121927275,
          0.08405819978815096,
          -0.5216036560053215,
          -0.9388451460341123,
          0.11919059297694097,
          0.9053860932706144,
          -0.137500909700347,
          0.424260103405385,
          0.09970901420803105,
          -0.31603281030916275,
          0.6114752781864388,
          -0.3613635277816051,
          -0.4674887902830819,
          -0.16224699513104449,
          0.06758823311336379,
          0.3581209756659392,
          -0.25435333011999434,
          0.6147428182937036,
          0.252847975612938,
          0.9472778416715602,
          -0.38391270025607344,
          -0.01237077927035568,
          0.08787017011430565,
          -0.9190687611547398,
          0.2415969592688776,
          -0.2738552904934617,
          0.28310553837364816,
          -0.4590917452577626,
          0.09963165524311567,
          0.10634820355151797,
          0.6994233697929381,
          0.5517038075350604,
          -0.4310913776641251,
          -0.1657371648457404,
          -0.2292799785044729,
          0.07214032368069838,
          -0.3613744438545744,
          -0.20782300776428014,
          -0.17986897982266925,
          -0.19374477899640336,
          0.1696403674470744,
          0.1588763012089673,
          0.40909460083772564,
          0.2562914874355333,
          -0.26810357590631745,
          -0.4301251367430981,
          -0.22226694497712765,
          0.11007117037472947,
          -0.5102254088791398,
          0.3413956732516022,
          0.40017518170791405,
          0.20354339497278634,
          1.8054934226963117,
          0.032178219694061705,
          0.3375626464503053,
          -1.2832653192377417,
          -0.10559948210926696,
          -0.44232032763368634,
          -0.23364642153843812,
          0.42412664361400354,
          0.4156300252034059,
          0.2174107832858093,
          0.4255927683762959,
          -0.7003360750779526,
          0.6875267786098994,
          1.3745685063160695,
          0.12595657304197444,
          -0.41953104258351676,
          -0.31309414749496994,
          -0.1805704122032663,
          0.8162461806823834,
          0.7265524478560843,
          -0.0726072398456906,
          0.32238932771673956,
          0.5880942952129316,
          -0.41636676428324115,
          0.3413680954665451,
          -0.2256238770470152,
          0.5727702437017367,
          -0.7691610787502954,
          -0.37969811142333704,
          -0.10349991216219545,
          -0.3808173402960922,
          1.424689507006326,
          -0.10658590062269536,
          0.08407082423781137,
          -0.713240742360737,
          -0.18934982396726882,
          -0.36071828621488244,
          0.10286187919612846,
          -0.3865394775317237,
          -0.18301818760550512,
          -0.047558443493574146,
          0.391184602330395,
          0.4124026155886694,
          -0.08063850188607251,
          0.012650223081620879,
          0.3594744167529408,
          -0.41919517888542285,
          -0.1516346041419327,
          0.08038666533228025,
          -0.746995716223274,
          0.38583622477109747,
          0.1356453032187684,
          -0.02327741446210456,
          -0.36057850261347235,
          -0.3152426403083225,
          -0.5477949269785313,
          0.3592474419116588,
          -0.31468746421257116,
          -0.09600822365754604,
          0.16104274356014175,
          0.1005866570827027,
          0.5033731388927954,
          -0.574867427931736,
          -0.05235463686583308,
          0.2625282136249597,
          0.10859166412724713,
          -0.5655753111541125,
          -0.4882623657476247,
          -1.043750242429556,
          0.24498490133695183,
          -0.4205279464104974,
          -0.6195271446748787,
          0.4650919827993979,
          -0.13591529202399755,
          -0.10248026089651982,
          -0.03676472867287724,
          -0.4241227127781383,
          -0.5648089666386795,
          -0.3792721093241401,
          0.3295806725484686,
          -0.15769306486705026,
          -0.8162753130082538,
          0.9520123247562159,
          -0.3023858316805087,
          -0.39088560471683054,
          -0.2592797864389562,
          0.16408692537178915,
          -0.041019957014283445,
          -0.016845066714441553,
          0.08436284476490358,
          0.19018769483715844,
          0.07546865970737654,
          -0.4858167022614739,
          0.5611796679395644,
          -0.5851371491216961,
          0.44974799101616103,
          -0.2610766671900409,
          0.13535977043042988,
          -0.45089889155387336,
          0.6187122325364991,
          -0.870071861042225,
          0.5713328023658393,
          0.2665641690877568,
          0.35831087671731543,
          -0.1701438936538676,
          -0.5169928309978344,
          -0.18820416658559422,
          0.8801125429018204,
          -0.2145684235826026,
          -0.156675843666778,
          -0.25936614477303965,
          0.45911302318739433,
          -0.17382288909221305,
          -0.11975139867641638,
          0.52817593639692,
          -0.08784027971657951,
          -0.013446822218015159,
          0.0551454154388436,
          -0.3795547145958586,
          0.1767938193916054,
          -0.29248010049928375,
          0.6872085636687122,
          -0.5989156877113765,
          0.5396657963437477,
          1.2809567976341765,
          -0.4435659944665034,
          -0.2706428097211072,
          0.4478377556728827,
          -0.4420652416119201,
          1.1717262067206655,
          0.5444087697308735,
          0.5500542326468046,
          -0.14861991309192496,
          0.7864113764261401,
          -0.3336480833248576,
          0.5455309924259668,
          -0.6770891796971686,
          0.4879877725576626,
          0.08338261080547874,
          0.38313263881942444,
          -0.32018741336881856,
          -0.5719099222081838,
          -0.5286010499902342,
          0.5363906280582116,
          0.3571286524976465,
          0.3867030474385279,
          0.0377365897255423,
          -0.7539311680781567,
          -0.6653518703390239,
          0.9335955400322155,
          0.4086137830157818,
          -0.580348669293716,
          -0.24324200327492068,
          0.15833620082910466,
          -0.8708191025016165,
          0.2401403600096268,
          -0.18568056122019722,
          0.08250232046514958,
          -0.7033730866892036,
          0.004264013103378025,
          -0.3997859609165378,
          -0.38223804323734145,
          0.8888674547872479,
          -0.3855606394054821,
          -0.04032917937096479,
          -0.8627307077262056,
          -0.2338942204133852,
          0.8343065868698916,
          -0.3986209218178325,
          0.8208930885080884,
          0.3890822330637158,
          1.4663962191777553,
          -0.016098278786972856,
          -0.21182140778859165,
          0.12365936613387879,
          0.13445389778293038,
          -0.47267523144101564,
          0.21476000429559894,
          -0.32111941959076196,
          -0.9659217728249473,
          -0.2630151846036066,
          -0.08556618302813754,
          0.3734416346618563,
          -0.10937194607621714,
          0.06476232981598218,
          0.2507001178521988,
          0.4058709239059738,
          0.2682497145228539,
          0.22961848380908895,
          -0.15242813992570736
         ],
         "yaxis": "y"
        },
        {
         "hovertemplate": "value=0<br>variable=DecisionTree<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "0",
         "marker": {
          "color": "#636efa",
          "size": 5,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "0",
         "showlegend": false,
         "type": "scattergl",
         "x": [
          -0.19907919139746308,
          0.1322954607890312,
          -0.11181976644843417,
          -0.3429860701469649,
          0.22305260173343316,
          -0.784014727545806,
          0.10659096717431134,
          1.0288065095722856,
          -0.22377715227350753,
          0.2896633524819163,
          -0.4112642442202904,
          -0.10715388269271563,
          0.9666170125365425,
          0.1654995464559705,
          0.9576444918066123,
          0.04956799296833819,
          0.36511352417817206,
          0.13042987725360966,
          1.0048475957858645,
          -0.4370351773210312,
          -0.2995685913728074,
          -0.13540129428067704,
          -0.9366832658556437,
          -0.5833641536623541,
          -0.3782248194202176,
          0.13125609273181554,
          0.17353715494187663,
          0.3213226610435037,
          0.9634232970282797,
          -0.018658587442924035,
          0.2210337696839605,
          0.5065375598516173,
          -0.4733162726392428,
          -0.3388401388918002,
          0.3969076026079814,
          -0.946353776492931,
          -0.6056169494223168,
          0.14172332704325502,
          0.44025252271556276,
          0.0005928507604545247,
          -0.7940706854532569,
          0.21192366634840723,
          0.8149095075768225,
          -0.05199493581542798,
          -0.5180875741452886,
          0.12037842786576926,
          0.74514422766251,
          -0.31503778369791563,
          -0.00189469296999778,
          0.7570091044591615,
          -0.6339964502348415,
          -0.49008567381481455,
          -0.14531918440565145,
          0.2684487920370873,
          -0.8339268036631897,
          -0.34525424811176375,
          0.10869873855842113,
          0.6231409158217567,
          -0.059548510018938496,
          -0.23751667286587919,
          -0.24502520453451382,
          -0.11557436447133158,
          0.7541440793569719,
          -0.2011259915815203,
          0.36201211455763693,
          0.16746711628439157,
          0.7082541213396861,
          0.5017192776369106,
          -0.3175157575728196,
          0.6298028667468023,
          0.4898545909522935,
          -0.05993312479098901,
          -0.2283789472740602,
          0.18266863540304745,
          0.331926112517347,
          0.37410708829040684,
          -0.6048125926667779,
          0.044845547385124696,
          -0.22592131763324041,
          0.5313373768177536,
          -1.0342599593275121,
          -0.9791405579914779,
          -0.6260614556327057,
          -0.5117061338625019,
          -0.5435058755849399,
          -0.14367214891236957,
          0.7662155241070578,
          0.6433681214330742,
          0.2232306132648039,
          0.5809894016554942,
          -1.2424967956095263,
          -0.3233886243512595,
          0.08737497469169393,
          0.5835588826278372,
          1.0377227968169889,
          -0.823959176694629,
          0.18423606747673543,
          -0.5178243226762598,
          0.19393809489276523,
          -0.05035092366137591,
          0.7481215299814237,
          0.06201610126329335,
          -0.40275798178618993,
          0.4284800057577586,
          0.1053819568759109,
          -0.4160138009596356,
          -0.19336203153300596,
          -0.8853655095770137,
          -0.8699208019822325,
          0.19082267101896255,
          -1.0600173289866262,
          -0.4088624883268571,
          -0.6943978106970096,
          -0.06868206938100248,
          -1.1430681781397942,
          0.3302528913741797,
          -0.49731630993648235,
          0.3757868929785175,
          0.5114311427909182,
          0.9482828329963269,
          -0.44110426393245833,
          0.2729522960279435,
          -0.025661034796783683,
          0.573343463739551,
          0.09660543549537758,
          -0.8511458073569258,
          -0.2107982998605533,
          0.1716399358514166,
          0.23978074766324492,
          -0.42294492593645844,
          1.0206619002821065,
          -0.5809880404306388,
          -0.43096273243998173,
          -0.17003777328525638,
          -0.448351999765027,
          -0.22993330234623682,
          0.5330993015020491,
          -0.2718215455977709,
          -0.2243488390565433,
          0.22649713589575565,
          0.6937404438038982,
          -0.1255680097443713,
          -0.5666351208896058,
          -0.432402932244764,
          -0.0008267459760732156,
          -0.015790811261035126,
          -0.7752129207629762,
          -0.013359477266450967,
          0.42149862263833854,
          0.13548107685648608,
          0.22652936290681808,
          0.03883681154062765,
          0.996035284712802,
          -0.6325607975783097,
          0.3164709716679287,
          -0.13281568518635045,
          0.18104537611509589,
          -0.09801921009110168,
          -0.4793083193499349,
          -0.46681390953361074,
          0.14985171054114943,
          0.14432082607281743,
          -0.8154270407355687,
          0.21801795447530675,
          0.09734412085086117,
          0.36136409141323084,
          0.8084177586669168,
          -0.8770937330805337,
          -0.8149991676844731,
          0.25710551195113485,
          0.350636880122824,
          0.37239533900214267,
          0.5394755444316203,
          -0.5000469728244504,
          0.6263065451755744,
          -0.4253438739892775,
          0.25749288220065686,
          0.5151440293847345,
          -0.007592806091623189,
          -0.3861779621308794,
          0.8936762178827662,
          0.5003873519183171,
          0.41616361347195263,
          -0.5265671101310532,
          0.4671463032804496,
          0.13619772018186221,
          0.02306595429644371,
          -0.5357268032756213,
          -0.13931271465484446,
          0.8022717728742715,
          0.5930844232058915,
          0.3342844996321778,
          0.36397986554306655,
          -0.10462309225658142,
          -0.21105056890857404,
          -0.06059932268366912,
          -0.6173296834032321,
          0.5477782199289895,
          0.8106540718621761,
          -0.722585158015875,
          -0.3085598928863393,
          -1.210982895634066,
          -0.3102132548344842,
          0.26550039195070396,
          0.11029039125135177,
          0.06341886451184228,
          -0.07844632999433362,
          0.4779705543753368,
          -0.6795787146003736,
          -0.0021992470876829803,
          0.5917441005469325,
          0.44312270971564455,
          0.4532753151089908,
          -1.076567437798459,
          0.38395411117305495,
          -0.11899249318591686,
          1.0022759643525458,
          -0.6678223660976945,
          0.294285864247223,
          0.044921333622868424,
          -0.5626894117810274,
          0.5789380604819077,
          -0.3428079783501512,
          -0.34480373378124446,
          -0.15271711104838742,
          -0.579720633823066,
          -0.0761315443437992,
          0.27371965977462,
          -0.3573288947799758,
          -0.4343382279867491,
          0.14340999998190745,
          -0.15615006692577163,
          -1.2904882585220878,
          0.9109761559861267,
          0.4884250483549508,
          0.39594215554199674,
          0.6536802677663524,
          0.07996091957124059,
          -0.1305882866216287,
          -0.1537910712861464,
          -0.8286675475458622,
          0.4478486527711405,
          -0.4942884793961875,
          -0.5511304338007317,
          0.724691378496465,
          -1.0323080828155342,
          -0.5253100221891367,
          0.5402018551956154,
          -0.5937890735796798,
          -0.40226505937999574,
          0.28919864611225365,
          -0.5503712170692341,
          0.821181040575347,
          -0.7565214459663111,
          0.9923649013682478,
          -0.1590657080949345,
          -0.4524494433370847,
          0.25054906616274286,
          -0.8020895839523046,
          -0.19997347921454633,
          -0.44940409462846875,
          0.4236013789445714,
          0.37548748760459155,
          -0.8232255822532358,
          0.5327937832925008,
          -0.7043959092679235,
          0.26557115563601824,
          -0.7610425102278291,
          -0.5542679881536583,
          -0.75871188300168,
          -0.5612654468773459,
          0.26672790273225755,
          1.0270097521855812,
          0.15594137771044306,
          1.0307584431565335,
          -0.498066531601453,
          0.4027912115633624,
          -0.7019945914542038,
          -0.5561128331454888,
          0.05340311599237002,
          0.03005284287795296,
          0.33469535243989856,
          -0.09155264134501143,
          -0.5863517179366947,
          -0.9628011068049607,
          -0.4021110413944353,
          0.6524334105765499,
          -1.1963012868950216,
          0.0646018484089699,
          -1.1871188571597524,
          -0.5702945547570273,
          -0.19890991122218232,
          0.3741739402192743,
          0.47669022740214767,
          -0.25666100652075163,
          -0.1960463678435741,
          0.5881095786989503,
          0.10992151650816294,
          -0.35093905644183565,
          -0.22944577603086824,
          0.983961549017558,
          -0.22979246056183128,
          -0.06880377700989147,
          0.07938372953596493,
          0.2007272548466714
         ],
         "xaxis": "x2",
         "y": [
          0.11003251539051036,
          0.03044516752349187,
          0.2359746720688815,
          -0.3577040992857995,
          -0.03582110800885659,
          0.5543406488719718,
          -0.12216873499619336,
          -0.3629374303837596,
          0.2065054674146787,
          0.14410972475952805,
          0.37954729314821034,
          0.025046961483818832,
          -0.8636988703414736,
          0.6377825232314078,
          1.060812861738163,
          0.2936822910228181,
          -0.0950852795928783,
          -0.20005328026718075,
          -0.5395724187320632,
          0.08514220027145841,
          -0.6868758191934142,
          -0.0690372256298451,
          -0.29435160429558915,
          0.7203526057015783,
          0.4365964143695256,
          0.35799684556930367,
          0.6628842533539527,
          0.011149122226206912,
          -0.46085487875511344,
          -0.6075054633316931,
          0.1119700280053812,
          0.5917837116349872,
          -0.00538281052849475,
          -0.4909860973484518,
          0.03790073041803833,
          0.18235146343536274,
          -0.8556458487887977,
          0.9958121750957198,
          0.1656200607315031,
          -0.15864546835373763,
          -0.19621822032744135,
          0.005495372525217507,
          -0.12654332627613574,
          -0.5355180995721426,
          -0.18487895839476937,
          0.06955972611510945,
          0.19553729902729744,
          -0.39042064454099606,
          0.33092568112493914,
          0.09763564519350536,
          -0.06379279121927275,
          0.08405819978815096,
          -0.9388451460341123,
          0.11919059297694097,
          -0.314612169432015,
          0.9053860932706144,
          -0.137500909700347,
          0.424260103405385,
          0.09970901420803105,
          -0.31603281030916275,
          0.6114752781864388,
          -0.3613635277816051,
          -0.4674887902830819,
          -0.16224699513104449,
          0.06758823311336379,
          0.3581209756659392,
          -0.25435333011999434,
          0.6147428182937036,
          0.252847975612938,
          0.9472778416715602,
          -0.38391270025607344,
          -0.01237077927035568,
          0.08787017011430565,
          -0.9190687611547398,
          0.2415969592688776,
          -0.2738552904934617,
          0.28310553837364816,
          0.8486921313526852,
          -0.4590917452577626,
          0.09963165524311567,
          1.1096308380192954,
          -0.363102551645655,
          0.10634820355151797,
          0.6994233697929381,
          0.5517038075350604,
          -0.4310913776641251,
          -0.1657371648457404,
          -0.2292799785044729,
          0.07214032368069838,
          -0.3613744438545744,
          -0.3379422132356826,
          -0.20782300776428014,
          -0.17986897982266925,
          -0.19374477899640336,
          0.1696403674470744,
          0.1588763012089673,
          0.40909460083772564,
          0.2562914874355333,
          -0.26810357590631745,
          -0.4301251367430981,
          -0.22226694497712765,
          0.11007117037472947,
          -0.5102254088791398,
          0.3413956732516022,
          0.40017518170791405,
          0.20354339497278634,
          0.032178219694061705,
          0.3375626464503053,
          -0.8833993861522591,
          -0.10559948210926696,
          -0.9855950137559277,
          -0.44232032763368634,
          -0.23364642153843812,
          0.42412664361400354,
          -0.5602973788188673,
          0.4156300252034059,
          0.2174107832858093,
          0.4255927683762959,
          -0.7003360750779526,
          0.6875267786098994,
          0.12595657304197444,
          -0.41953104258351676,
          -0.31309414749496994,
          -0.1805704122032663,
          0.8162461806823834,
          0.7265524478560843,
          -0.0726072398456906,
          0.32238932771673956,
          0.5880942952129316,
          -0.41636676428324115,
          0.3413680954665451,
          -0.2256238770470152,
          0.5727702437017367,
          -0.7691610787502954,
          -0.37969811142333704,
          -0.10349991216219545,
          -0.3808173402960922,
          -0.10658590062269536,
          0.08407082423781137,
          -0.713240742360737,
          -0.18934982396726882,
          -0.36071828621488244,
          0.10286187919612846,
          -0.3865394775317237,
          -0.18301818760550512,
          -0.047558443493574146,
          0.391184602330395,
          0.4124026155886694,
          -0.08063850188607251,
          0.012650223081620879,
          0.3594744167529408,
          -0.41919517888542285,
          -0.1516346041419327,
          1.0587074672570518,
          0.08038666533228025,
          -0.746995716223274,
          0.38583622477109747,
          0.1356453032187684,
          1.1416852318988469,
          -0.02327741446210456,
          -0.36057850261347235,
          -0.3152426403083225,
          -0.5477949269785313,
          0.3592474419116588,
          -0.31468746421257116,
          -0.09600822365754604,
          0.16104274356014175,
          0.1005866570827027,
          0.5033731388927954,
          -0.574867427931736,
          -0.05235463686583308,
          0.2625282136249597,
          -0.6880286289691574,
          0.10859166412724713,
          -0.5655753111541125,
          -0.4882623657476247,
          0.24498490133695183,
          -0.4205279464104974,
          -0.6195271446748787,
          0.4650919827993979,
          -0.13591529202399755,
          -0.10248026089651982,
          -0.03676472867287724,
          -0.4241227127781383,
          -0.5648089666386795,
          -0.3792721093241401,
          0.3295806725484686,
          -0.15769306486705026,
          -0.8162753130082538,
          0.9520123247562159,
          0.9096299508768115,
          -0.3023858316805087,
          -0.2592797864389562,
          0.16408692537178915,
          -0.041019957014283445,
          -0.016845066714441553,
          0.08436284476490358,
          0.19018769483715844,
          0.07546865970737654,
          -0.4858167022614739,
          0.5611796679395644,
          0.1370753713156796,
          -0.5851371491216961,
          0.44974799101616103,
          -0.2610766671900409,
          0.13535977043042988,
          -0.45089889155387336,
          0.6187122325364991,
          -0.012273003605088373,
          -0.870071861042225,
          0.7761540086382996,
          0.2665641690877568,
          0.35831087671731543,
          -0.1701438936538676,
          -0.5169928309978344,
          -0.18820416658559422,
          1.0911483868342127,
          0.8801125429018204,
          -0.2145684235826026,
          -0.156675843666778,
          -0.25936614477303965,
          0.45911302318739433,
          -0.17382288909221305,
          -0.11975139867641638,
          0.52817593639692,
          -0.08784027971657951,
          -0.013446822218015159,
          0.0551454154388436,
          -0.3795547145958586,
          0.1767938193916054,
          -0.29248010049928375,
          0.6872085636687122,
          -0.5989156877113765,
          0.5396657963437477,
          -0.4435659944665034,
          -0.2706428097211072,
          0.4478377556728827,
          -0.4420652416119201,
          -0.8432371144056596,
          1.1717262067206655,
          0.5444087697308735,
          0.5500542326468046,
          -0.14861991309192496,
          1.1773511637888658,
          0.7864113764261401,
          -0.3336480833248576,
          0.5455309924259668,
          -0.6770891796971686,
          0.4879877725576626,
          0.08338261080547874,
          0.38313263881942444,
          -0.32018741336881856,
          -0.5719099222081838,
          -0.5286010499902342,
          0.5363906280582116,
          0.3571286524976465,
          0.3867030474385279,
          0.0377365897255423,
          -0.7539311680781567,
          -0.6653518703390239,
          0.9335955400322155,
          0.4086137830157818,
          -0.580348669293716,
          -0.24324200327492068,
          0.15833620082910466,
          1.0762405107071866,
          -0.8708191025016165,
          0.2401403600096268,
          -0.18568056122019722,
          -0.6157593226014437,
          0.08250232046514958,
          -0.7033730866892036,
          0.004264013103378025,
          -0.3997859609165378,
          -0.38223804323734145,
          0.8888674547872479,
          -0.3855606394054821,
          -0.04032917937096479,
          -0.8627307077262056,
          1.0892825114118507,
          -0.2338942204133852,
          0.8343065868698916,
          -0.3986209218178325,
          0.8208930885080884,
          0.3890822330637158,
          -0.016098278786972856,
          -0.21182140778859165,
          0.6702100485736949,
          0.12365936613387879,
          0.13445389778293038,
          -0.47267523144101564,
          0.21476000429559894,
          0.6785617076867003,
          -0.32111941959076196,
          -0.9659217728249473,
          -0.2630151846036066,
          -0.08556618302813754,
          0.3734416346618563,
          -0.10937194607621714,
          0.06476232981598218,
          0.2507001178521988,
          0.4058709239059738,
          0.2682497145228539,
          0.22961848380908895,
          -0.15242813992570736
         ],
         "yaxis": "y2"
        },
        {
         "hovertemplate": "value=0<br>variable=XGBoost<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "0",
         "marker": {
          "color": "#636efa",
          "size": 5,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "0",
         "showlegend": false,
         "type": "scattergl",
         "x": [
          -0.19907919139746308,
          0.1322954607890312,
          -0.11181976644843417,
          -0.3429860701469649,
          0.22305260173343316,
          -0.784014727545806,
          0.10659096717431134,
          1.0288065095722856,
          -0.22377715227350753,
          0.2896633524819163,
          -0.4112642442202904,
          -0.10715388269271563,
          0.9666170125365425,
          0.1654995464559705,
          0.04956799296833819,
          0.36511352417817206,
          0.13042987725360966,
          1.0048475957858645,
          -0.4370351773210312,
          -0.2995685913728074,
          -0.13540129428067704,
          -0.9366832658556437,
          -0.5833641536623541,
          -0.3782248194202176,
          0.13125609273181554,
          0.17353715494187663,
          0.3213226610435037,
          0.9634232970282797,
          -0.018658587442924035,
          0.2210337696839605,
          0.5065375598516173,
          -0.4733162726392428,
          -0.3388401388918002,
          0.3969076026079814,
          -0.946353776492931,
          -0.6056169494223168,
          0.14172332704325502,
          0.44025252271556276,
          0.0005928507604545247,
          -0.7940706854532569,
          0.21192366634840723,
          0.8149095075768225,
          -0.05199493581542798,
          -0.5180875741452886,
          0.12037842786576926,
          0.74514422766251,
          -0.31503778369791563,
          -0.00189469296999778,
          0.7570091044591615,
          -0.6339964502348415,
          -0.49008567381481455,
          -0.14531918440565145,
          0.2684487920370873,
          -0.8339268036631897,
          -0.34525424811176375,
          0.10869873855842113,
          0.6231409158217567,
          -0.059548510018938496,
          -0.23751667286587919,
          -0.24502520453451382,
          -0.11557436447133158,
          0.7541440793569719,
          -0.2011259915815203,
          0.36201211455763693,
          0.16746711628439157,
          0.7082541213396861,
          0.5017192776369106,
          -0.3175157575728196,
          0.6298028667468023,
          0.4898545909522935,
          -0.05993312479098901,
          -0.2283789472740602,
          0.18266863540304745,
          0.331926112517347,
          0.37410708829040684,
          -0.6048125926667779,
          0.044845547385124696,
          -0.22592131763324041,
          0.5313373768177536,
          -0.9791405579914779,
          -0.6260614556327057,
          -0.5117061338625019,
          -0.5435058755849399,
          -0.14367214891236957,
          0.7662155241070578,
          0.6433681214330742,
          0.2232306132648039,
          0.5809894016554942,
          -1.2424967956095263,
          -0.3233886243512595,
          0.08737497469169393,
          0.5835588826278372,
          1.0377227968169889,
          -0.823959176694629,
          0.18423606747673543,
          -0.5178243226762598,
          0.19393809489276523,
          -0.05035092366137591,
          0.7481215299814237,
          0.06201610126329335,
          -0.40275798178618993,
          0.4284800057577586,
          0.1053819568759109,
          -0.4160138009596356,
          -0.19336203153300596,
          -0.8853655095770137,
          -0.8699208019822325,
          0.19082267101896255,
          -0.4088624883268571,
          -0.6943978106970096,
          -0.06868206938100248,
          -1.1430681781397942,
          0.3302528913741797,
          -0.49731630993648235,
          0.3757868929785175,
          0.5114311427909182,
          0.9482828329963269,
          -0.44110426393245833,
          0.2729522960279435,
          -0.025661034796783683,
          0.573343463739551,
          0.09660543549537758,
          -0.8511458073569258,
          -0.2107982998605533,
          0.1716399358514166,
          0.23978074766324492,
          -0.42294492593645844,
          1.0206619002821065,
          -0.5809880404306388,
          -0.43096273243998173,
          -0.17003777328525638,
          -0.448351999765027,
          -0.22993330234623682,
          0.5330993015020491,
          -0.2718215455977709,
          -0.2243488390565433,
          0.22649713589575565,
          0.6937404438038982,
          -0.1255680097443713,
          -0.5666351208896058,
          -0.432402932244764,
          -0.0008267459760732156,
          -0.015790811261035126,
          -0.7752129207629762,
          -0.013359477266450967,
          0.42149862263833854,
          0.13548107685648608,
          0.22652936290681808,
          0.03883681154062765,
          0.996035284712802,
          -0.6325607975783097,
          0.3164709716679287,
          -0.13281568518635045,
          0.18104537611509589,
          -0.09801921009110168,
          -0.4793083193499349,
          -0.46681390953361074,
          0.14985171054114943,
          0.14432082607281743,
          -0.8154270407355687,
          0.21801795447530675,
          0.09734412085086117,
          0.36136409141323084,
          0.8084177586669168,
          -0.8770937330805337,
          -0.8149991676844731,
          0.25710551195113485,
          0.350636880122824,
          0.37239533900214267,
          0.5394755444316203,
          -0.5000469728244504,
          0.6263065451755744,
          -0.4253438739892775,
          0.22745843866456333,
          0.25749288220065686,
          0.5151440293847345,
          -0.007592806091623189,
          -0.3861779621308794,
          0.8936762178827662,
          0.5003873519183171,
          0.41616361347195263,
          -0.5265671101310532,
          0.4671463032804496,
          0.13619772018186221,
          0.02306595429644371,
          -0.5357268032756213,
          -0.13931271465484446,
          0.8022717728742715,
          0.5930844232058915,
          0.3342844996321778,
          0.36397986554306655,
          -0.10462309225658142,
          -0.21105056890857404,
          -0.06059932268366912,
          -0.6173296834032321,
          0.5477782199289895,
          0.8106540718621761,
          -0.722585158015875,
          -0.3085598928863393,
          -1.210982895634066,
          -0.3102132548344842,
          0.26550039195070396,
          0.11029039125135177,
          0.06341886451184228,
          -0.07844632999433362,
          0.4779705543753368,
          -0.6795787146003736,
          -0.0021992470876829803,
          0.5917441005469325,
          0.44312270971564455,
          0.4532753151089908,
          -1.076567437798459,
          0.38395411117305495,
          -0.11899249318591686,
          -0.6678223660976945,
          0.294285864247223,
          0.044921333622868424,
          -0.5626894117810274,
          0.5789380604819077,
          -0.3428079783501512,
          -0.34480373378124446,
          -0.15271711104838742,
          -0.579720633823066,
          -0.0761315443437992,
          0.27371965977462,
          -0.3573288947799758,
          -0.4343382279867491,
          0.14340999998190745,
          -0.15615006692577163,
          -1.2904882585220878,
          0.9109761559861267,
          0.4884250483549508,
          0.39594215554199674,
          0.6536802677663524,
          0.07996091957124059,
          -0.1305882866216287,
          -0.1537910712861464,
          -0.8286675475458622,
          0.4478486527711405,
          -0.4942884793961875,
          -0.5511304338007317,
          0.724691378496465,
          -1.0323080828155342,
          -0.5253100221891367,
          0.5402018551956154,
          -0.5937890735796798,
          -0.40226505937999574,
          0.28919864611225365,
          -0.5503712170692341,
          0.821181040575347,
          -0.7565214459663111,
          0.9923649013682478,
          -0.1590657080949345,
          -0.4524494433370847,
          0.25054906616274286,
          -0.8020895839523046,
          -0.19997347921454633,
          -0.44940409462846875,
          0.4236013789445714,
          0.37548748760459155,
          -0.8232255822532358,
          0.5327937832925008,
          0.26557115563601824,
          -0.7610425102278291,
          -0.5542679881536583,
          -0.75871188300168,
          -0.5612654468773459,
          0.26672790273225755,
          1.0270097521855812,
          0.15594137771044306,
          1.0307584431565335,
          -0.498066531601453,
          0.4027912115633624,
          -0.7019945914542038,
          -0.5561128331454888,
          0.05340311599237002,
          0.03005284287795296,
          0.33469535243989856,
          -0.09155264134501143,
          -0.5863517179366947,
          -0.9628011068049607,
          -0.4021110413944353,
          0.6524334105765499,
          0.0646018484089699,
          -1.1871188571597524,
          -0.5702945547570273,
          -0.19890991122218232,
          0.3741739402192743,
          0.47669022740214767,
          -0.25666100652075163,
          -0.1960463678435741,
          0.5881095786989503,
          0.10992151650816294,
          -0.35093905644183565,
          -0.22944577603086824,
          0.983961549017558,
          -0.22979246056183128,
          -0.06880377700989147,
          0.07938372953596493,
          0.2007272548466714
         ],
         "xaxis": "x3",
         "y": [
          0.11003251539051036,
          0.03044516752349187,
          0.2359746720688815,
          -0.3577040992857995,
          -0.03582110800885659,
          0.5543406488719718,
          -0.12216873499619336,
          -0.3629374303837596,
          0.2065054674146787,
          0.14410972475952805,
          0.37954729314821034,
          0.025046961483818832,
          -0.8636988703414736,
          0.6377825232314078,
          0.2936822910228181,
          -0.0950852795928783,
          -0.20005328026718075,
          -0.5395724187320632,
          0.08514220027145841,
          -0.6868758191934142,
          -0.0690372256298451,
          -0.29435160429558915,
          0.7203526057015783,
          0.4365964143695256,
          0.35799684556930367,
          0.6628842533539527,
          0.011149122226206912,
          -0.46085487875511344,
          -0.6075054633316931,
          0.1119700280053812,
          0.5917837116349872,
          -0.00538281052849475,
          -0.4909860973484518,
          0.03790073041803833,
          0.18235146343536274,
          -0.8556458487887977,
          0.9958121750957198,
          0.1656200607315031,
          -0.15864546835373763,
          -0.19621822032744135,
          0.005495372525217507,
          -0.12654332627613574,
          -0.5355180995721426,
          -0.18487895839476937,
          0.06955972611510945,
          0.19553729902729744,
          -0.39042064454099606,
          0.33092568112493914,
          0.09763564519350536,
          -0.06379279121927275,
          0.08405819978815096,
          -0.9388451460341123,
          0.11919059297694097,
          -0.314612169432015,
          0.9053860932706144,
          -0.137500909700347,
          0.424260103405385,
          0.09970901420803105,
          -0.31603281030916275,
          0.6114752781864388,
          -0.3613635277816051,
          -0.4674887902830819,
          -0.16224699513104449,
          0.06758823311336379,
          0.3581209756659392,
          -0.25435333011999434,
          0.6147428182937036,
          0.252847975612938,
          0.9472778416715602,
          -0.38391270025607344,
          -0.01237077927035568,
          0.08787017011430565,
          -0.9190687611547398,
          0.2415969592688776,
          -0.2738552904934617,
          0.28310553837364816,
          0.8486921313526852,
          -0.4590917452577626,
          0.09963165524311567,
          -0.363102551645655,
          0.10634820355151797,
          0.6994233697929381,
          0.5517038075350604,
          -0.4310913776641251,
          -0.1657371648457404,
          -0.2292799785044729,
          0.07214032368069838,
          -0.3613744438545744,
          -0.3379422132356826,
          -0.20782300776428014,
          -0.17986897982266925,
          -0.19374477899640336,
          0.1696403674470744,
          0.1588763012089673,
          0.40909460083772564,
          0.2562914874355333,
          -0.26810357590631745,
          -0.4301251367430981,
          -0.22226694497712765,
          0.11007117037472947,
          -0.5102254088791398,
          0.3413956732516022,
          0.40017518170791405,
          0.20354339497278634,
          0.032178219694061705,
          0.3375626464503053,
          -0.8833993861522591,
          -0.10559948210926696,
          -0.44232032763368634,
          -0.23364642153843812,
          0.42412664361400354,
          -0.5602973788188673,
          0.4156300252034059,
          0.2174107832858093,
          0.4255927683762959,
          -0.7003360750779526,
          0.6875267786098994,
          0.12595657304197444,
          -0.41953104258351676,
          -0.31309414749496994,
          -0.1805704122032663,
          0.8162461806823834,
          0.7265524478560843,
          -0.0726072398456906,
          0.32238932771673956,
          0.5880942952129316,
          -0.41636676428324115,
          0.3413680954665451,
          -0.2256238770470152,
          0.5727702437017367,
          -0.7691610787502954,
          -0.37969811142333704,
          -0.10349991216219545,
          -0.3808173402960922,
          -0.10658590062269536,
          0.08407082423781137,
          -0.713240742360737,
          -0.18934982396726882,
          -0.36071828621488244,
          0.10286187919612846,
          -0.3865394775317237,
          -0.18301818760550512,
          -0.047558443493574146,
          0.391184602330395,
          0.4124026155886694,
          -0.08063850188607251,
          0.012650223081620879,
          0.3594744167529408,
          -0.41919517888542285,
          -0.1516346041419327,
          1.0587074672570518,
          0.08038666533228025,
          -0.746995716223274,
          0.38583622477109747,
          0.1356453032187684,
          1.1416852318988469,
          -0.02327741446210456,
          -0.36057850261347235,
          -0.3152426403083225,
          -0.5477949269785313,
          0.3592474419116588,
          -0.31468746421257116,
          -0.09600822365754604,
          0.16104274356014175,
          0.1005866570827027,
          0.5033731388927954,
          -0.574867427931736,
          -0.05235463686583308,
          0.2625282136249597,
          -0.6880286289691574,
          0.10859166412724713,
          -0.5655753111541125,
          -0.4882623657476247,
          -1.043750242429556,
          0.24498490133695183,
          -0.4205279464104974,
          -0.6195271446748787,
          0.4650919827993979,
          -0.13591529202399755,
          -0.10248026089651982,
          -0.03676472867287724,
          -0.4241227127781383,
          -0.5648089666386795,
          -0.3792721093241401,
          0.3295806725484686,
          -0.15769306486705026,
          -0.8162753130082538,
          0.9520123247562159,
          0.9096299508768115,
          -0.3023858316805087,
          -0.2592797864389562,
          0.16408692537178915,
          -0.041019957014283445,
          -0.016845066714441553,
          0.08436284476490358,
          0.19018769483715844,
          0.07546865970737654,
          -0.4858167022614739,
          0.5611796679395644,
          0.1370753713156796,
          -0.5851371491216961,
          0.44974799101616103,
          -0.2610766671900409,
          0.13535977043042988,
          -0.45089889155387336,
          0.6187122325364991,
          -0.012273003605088373,
          -0.870071861042225,
          0.7761540086382996,
          0.2665641690877568,
          0.35831087671731543,
          -0.1701438936538676,
          -0.5169928309978344,
          -0.18820416658559422,
          0.8801125429018204,
          -0.2145684235826026,
          -0.156675843666778,
          -0.25936614477303965,
          0.45911302318739433,
          -0.17382288909221305,
          -0.11975139867641638,
          0.52817593639692,
          -0.08784027971657951,
          -0.013446822218015159,
          0.0551454154388436,
          -0.3795547145958586,
          0.1767938193916054,
          -0.29248010049928375,
          0.6872085636687122,
          -0.5989156877113765,
          0.5396657963437477,
          -0.4435659944665034,
          -0.2706428097211072,
          0.4478377556728827,
          -0.4420652416119201,
          -0.8432371144056596,
          1.1717262067206655,
          0.5444087697308735,
          0.5500542326468046,
          -0.14861991309192496,
          1.1773511637888658,
          0.7864113764261401,
          -0.3336480833248576,
          0.5455309924259668,
          -0.6770891796971686,
          0.4879877725576626,
          0.08338261080547874,
          0.38313263881942444,
          -0.32018741336881856,
          -0.5719099222081838,
          -0.5286010499902342,
          0.5363906280582116,
          0.3571286524976465,
          0.3867030474385279,
          0.0377365897255423,
          -0.7539311680781567,
          -0.6653518703390239,
          0.9335955400322155,
          0.4086137830157818,
          -0.580348669293716,
          -0.24324200327492068,
          0.15833620082910466,
          -0.8708191025016165,
          0.2401403600096268,
          -0.18568056122019722,
          -0.6157593226014437,
          0.08250232046514958,
          -0.7033730866892036,
          0.004264013103378025,
          -0.3997859609165378,
          -0.38223804323734145,
          0.8888674547872479,
          -0.3855606394054821,
          -0.04032917937096479,
          -0.8627307077262056,
          1.0892825114118507,
          -0.2338942204133852,
          0.8343065868698916,
          -0.3986209218178325,
          0.8208930885080884,
          0.3890822330637158,
          -0.016098278786972856,
          -0.21182140778859165,
          0.12365936613387879,
          0.13445389778293038,
          -0.47267523144101564,
          0.21476000429559894,
          0.6785617076867003,
          -0.32111941959076196,
          -0.9659217728249473,
          -0.2630151846036066,
          -0.08556618302813754,
          0.3734416346618563,
          -0.10937194607621714,
          0.06476232981598218,
          0.2507001178521988,
          0.4058709239059738,
          0.2682497145228539,
          0.22961848380908895,
          -0.15242813992570736
         ],
         "yaxis": "y3"
        },
        {
         "hovertemplate": "value=0<br>variable=SVM_rbf<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "0",
         "marker": {
          "color": "#636efa",
          "size": 5,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "0",
         "showlegend": false,
         "type": "scattergl",
         "x": [
          -0.19907919139746308,
          0.1322954607890312,
          -0.11181976644843417,
          -0.3429860701469649,
          0.22305260173343316,
          -0.784014727545806,
          0.10659096717431134,
          1.0288065095722856,
          -0.22377715227350753,
          0.2896633524819163,
          -0.4112642442202904,
          -0.10715388269271563,
          0.1654995464559705,
          0.04956799296833819,
          0.36511352417817206,
          0.13042987725360966,
          1.0048475957858645,
          -0.4370351773210312,
          -0.2995685913728074,
          -0.13540129428067704,
          -0.9366832658556437,
          -0.5833641536623541,
          -0.3782248194202176,
          0.13125609273181554,
          0.17353715494187663,
          0.3213226610435037,
          0.9634232970282797,
          -0.018658587442924035,
          0.2210337696839605,
          0.5065375598516173,
          -0.4733162726392428,
          -0.3388401388918002,
          0.3969076026079814,
          -0.946353776492931,
          -0.6056169494223168,
          0.14172332704325502,
          0.44025252271556276,
          0.0005928507604545247,
          -0.7940706854532569,
          0.21192366634840723,
          0.8149095075768225,
          -0.05199493581542798,
          -0.5180875741452886,
          0.12037842786576926,
          0.74514422766251,
          -0.31503778369791563,
          -0.00189469296999778,
          0.7570091044591615,
          -0.6339964502348415,
          -0.49008567381481455,
          -0.14531918440565145,
          0.2684487920370873,
          -0.8339268036631897,
          -0.34525424811176375,
          0.10869873855842113,
          0.6231409158217567,
          -0.059548510018938496,
          -0.23751667286587919,
          -0.24502520453451382,
          -0.11557436447133158,
          0.7541440793569719,
          -0.2011259915815203,
          0.36201211455763693,
          0.16746711628439157,
          0.7082541213396861,
          0.5017192776369106,
          -0.3175157575728196,
          0.6298028667468023,
          0.4898545909522935,
          -0.05993312479098901,
          -0.2283789472740602,
          0.18266863540304745,
          0.331926112517347,
          0.37410708829040684,
          -0.6048125926667779,
          0.044845547385124696,
          -0.22592131763324041,
          0.5313373768177536,
          -0.9791405579914779,
          -0.6260614556327057,
          -0.5117061338625019,
          -0.5435058755849399,
          -0.14367214891236957,
          0.7662155241070578,
          0.6433681214330742,
          0.2232306132648039,
          0.5809894016554942,
          -0.3233886243512595,
          0.08737497469169393,
          0.5835588826278372,
          1.0377227968169889,
          -0.823959176694629,
          0.18423606747673543,
          -0.5178243226762598,
          0.19393809489276523,
          -0.05035092366137591,
          0.7481215299814237,
          0.06201610126329335,
          -0.40275798178618993,
          0.4284800057577586,
          0.1053819568759109,
          -0.4160138009596356,
          -0.19336203153300596,
          -0.8853655095770137,
          -0.8699208019822325,
          0.19082267101896255,
          -0.4088624883268571,
          -0.6943978106970096,
          -0.06868206938100248,
          -1.1430681781397942,
          0.3302528913741797,
          -0.49731630993648235,
          0.3757868929785175,
          0.5114311427909182,
          0.9482828329963269,
          -0.44110426393245833,
          0.2729522960279435,
          -0.025661034796783683,
          0.573343463739551,
          0.09660543549537758,
          -0.8511458073569258,
          -0.2107982998605533,
          0.1716399358514166,
          0.23978074766324492,
          -0.42294492593645844,
          1.0206619002821065,
          -0.5809880404306388,
          -0.43096273243998173,
          -0.17003777328525638,
          -0.448351999765027,
          -0.22993330234623682,
          0.5330993015020491,
          -0.2718215455977709,
          -0.2243488390565433,
          0.22649713589575565,
          0.6937404438038982,
          -0.1255680097443713,
          -0.5666351208896058,
          -0.432402932244764,
          -0.0008267459760732156,
          -0.015790811261035126,
          -0.7752129207629762,
          -0.013359477266450967,
          0.42149862263833854,
          0.13548107685648608,
          0.22652936290681808,
          0.03883681154062765,
          0.996035284712802,
          -0.6325607975783097,
          0.3164709716679287,
          -0.13281568518635045,
          0.18104537611509589,
          -0.09801921009110168,
          -0.4793083193499349,
          -0.46681390953361074,
          0.14985171054114943,
          0.14432082607281743,
          -0.8154270407355687,
          0.21801795447530675,
          0.09734412085086117,
          0.36136409141323084,
          0.8084177586669168,
          -0.8770937330805337,
          -0.8149991676844731,
          0.25710551195113485,
          0.350636880122824,
          0.37239533900214267,
          0.5394755444316203,
          -0.5000469728244504,
          0.6263065451755744,
          -0.4253438739892775,
          0.22745843866456333,
          0.25749288220065686,
          0.5151440293847345,
          -0.007592806091623189,
          -0.3861779621308794,
          0.8936762178827662,
          0.5003873519183171,
          0.41616361347195263,
          -0.5265671101310532,
          0.4671463032804496,
          0.13619772018186221,
          0.02306595429644371,
          -0.5357268032756213,
          -0.13931271465484446,
          0.8022717728742715,
          0.5930844232058915,
          0.3342844996321778,
          0.36397986554306655,
          -0.10462309225658142,
          -0.21105056890857404,
          -0.06059932268366912,
          -0.6173296834032321,
          0.5477782199289895,
          0.8106540718621761,
          -0.722585158015875,
          -0.3085598928863393,
          -1.210982895634066,
          -0.3102132548344842,
          0.26550039195070396,
          0.11029039125135177,
          0.06341886451184228,
          -0.07844632999433362,
          0.4779705543753368,
          -0.6795787146003736,
          -0.0021992470876829803,
          0.5917441005469325,
          0.44312270971564455,
          0.4532753151089908,
          -1.076567437798459,
          0.38395411117305495,
          -0.11899249318591686,
          -0.6678223660976945,
          0.294285864247223,
          0.044921333622868424,
          -0.5626894117810274,
          0.5789380604819077,
          -0.3428079783501512,
          -0.34480373378124446,
          -0.15271711104838742,
          -0.579720633823066,
          -0.0761315443437992,
          0.27371965977462,
          -0.3573288947799758,
          -0.4343382279867491,
          0.14340999998190745,
          -0.15615006692577163,
          0.9109761559861267,
          0.4884250483549508,
          0.39594215554199674,
          0.6536802677663524,
          0.07996091957124059,
          -0.1305882866216287,
          -0.1537910712861464,
          -0.8286675475458622,
          0.4478486527711405,
          -0.4942884793961875,
          0.724691378496465,
          -1.0323080828155342,
          -0.5253100221891367,
          0.5402018551956154,
          -0.5937890735796798,
          -0.40226505937999574,
          0.28919864611225365,
          -0.5503712170692341,
          0.821181040575347,
          -0.7565214459663111,
          0.9923649013682478,
          -0.1590657080949345,
          -0.4524494433370847,
          0.25054906616274286,
          -0.8020895839523046,
          -0.19997347921454633,
          -0.44940409462846875,
          0.4236013789445714,
          0.37548748760459155,
          -0.8232255822532358,
          0.5327937832925008,
          0.26557115563601824,
          -0.7610425102278291,
          -0.5542679881536583,
          -0.75871188300168,
          -0.5612654468773459,
          0.26672790273225755,
          1.0270097521855812,
          0.15594137771044306,
          1.0307584431565335,
          -0.498066531601453,
          0.4027912115633624,
          -0.7019945914542038,
          -0.5561128331454888,
          0.05340311599237002,
          0.03005284287795296,
          0.33469535243989856,
          -0.09155264134501143,
          -0.5863517179366947,
          -0.9628011068049607,
          -0.4021110413944353,
          0.6524334105765499,
          0.0646018484089699,
          -1.1871188571597524,
          -0.5702945547570273,
          -0.19890991122218232,
          0.3741739402192743,
          0.47669022740214767,
          -0.25666100652075163,
          0.4459302452970386,
          -0.1960463678435741,
          0.5881095786989503,
          0.10992151650816294,
          -0.35093905644183565,
          -0.22944577603086824,
          0.983961549017558,
          -0.22979246056183128,
          -0.06880377700989147,
          0.07938372953596493,
          0.2007272548466714
         ],
         "xaxis": "x4",
         "y": [
          0.11003251539051036,
          0.03044516752349187,
          0.2359746720688815,
          -0.3577040992857995,
          -0.03582110800885659,
          0.5543406488719718,
          -0.12216873499619336,
          -0.3629374303837596,
          0.2065054674146787,
          0.14410972475952805,
          0.37954729314821034,
          0.025046961483818832,
          0.6377825232314078,
          0.2936822910228181,
          -0.0950852795928783,
          -0.20005328026718075,
          -0.5395724187320632,
          0.08514220027145841,
          -0.6868758191934142,
          -0.0690372256298451,
          -0.29435160429558915,
          0.7203526057015783,
          0.4365964143695256,
          0.35799684556930367,
          0.6628842533539527,
          0.011149122226206912,
          -0.46085487875511344,
          -0.6075054633316931,
          0.1119700280053812,
          0.5917837116349872,
          -0.00538281052849475,
          -0.4909860973484518,
          0.03790073041803833,
          0.18235146343536274,
          -0.8556458487887977,
          0.9958121750957198,
          0.1656200607315031,
          -0.15864546835373763,
          -0.19621822032744135,
          0.005495372525217507,
          -0.12654332627613574,
          -0.5355180995721426,
          -0.18487895839476937,
          0.06955972611510945,
          0.19553729902729744,
          -0.39042064454099606,
          0.33092568112493914,
          0.09763564519350536,
          -0.06379279121927275,
          0.08405819978815096,
          -0.9388451460341123,
          0.11919059297694097,
          -0.314612169432015,
          0.9053860932706144,
          -0.137500909700347,
          0.424260103405385,
          0.09970901420803105,
          -0.31603281030916275,
          0.6114752781864388,
          -0.3613635277816051,
          -0.4674887902830819,
          -0.16224699513104449,
          0.06758823311336379,
          0.3581209756659392,
          -0.25435333011999434,
          0.6147428182937036,
          0.252847975612938,
          0.9472778416715602,
          -0.38391270025607344,
          -0.01237077927035568,
          0.08787017011430565,
          -0.9190687611547398,
          0.2415969592688776,
          -0.2738552904934617,
          0.28310553837364816,
          0.8486921313526852,
          -0.4590917452577626,
          0.09963165524311567,
          -0.363102551645655,
          0.10634820355151797,
          0.6994233697929381,
          0.5517038075350604,
          -0.4310913776641251,
          -0.1657371648457404,
          -0.2292799785044729,
          0.07214032368069838,
          -0.3613744438545744,
          -0.20782300776428014,
          -0.17986897982266925,
          -0.19374477899640336,
          0.1696403674470744,
          0.1588763012089673,
          0.40909460083772564,
          0.2562914874355333,
          -0.26810357590631745,
          -0.4301251367430981,
          -0.22226694497712765,
          0.11007117037472947,
          -0.5102254088791398,
          0.3413956732516022,
          0.40017518170791405,
          0.20354339497278634,
          0.032178219694061705,
          0.3375626464503053,
          -0.8833993861522591,
          -0.10559948210926696,
          -0.44232032763368634,
          -0.23364642153843812,
          0.42412664361400354,
          -0.5602973788188673,
          0.4156300252034059,
          0.2174107832858093,
          0.4255927683762959,
          -0.7003360750779526,
          0.6875267786098994,
          0.12595657304197444,
          -0.41953104258351676,
          -0.31309414749496994,
          -0.1805704122032663,
          0.8162461806823834,
          0.7265524478560843,
          -0.0726072398456906,
          0.32238932771673956,
          0.5880942952129316,
          -0.41636676428324115,
          0.3413680954665451,
          -0.2256238770470152,
          0.5727702437017367,
          -0.7691610787502954,
          -0.37969811142333704,
          -0.10349991216219545,
          -0.3808173402960922,
          -0.10658590062269536,
          0.08407082423781137,
          -0.713240742360737,
          -0.18934982396726882,
          -0.36071828621488244,
          0.10286187919612846,
          -0.3865394775317237,
          -0.18301818760550512,
          -0.047558443493574146,
          0.391184602330395,
          0.4124026155886694,
          -0.08063850188607251,
          0.012650223081620879,
          0.3594744167529408,
          -0.41919517888542285,
          -0.1516346041419327,
          1.0587074672570518,
          0.08038666533228025,
          -0.746995716223274,
          0.38583622477109747,
          0.1356453032187684,
          1.1416852318988469,
          -0.02327741446210456,
          -0.36057850261347235,
          -0.3152426403083225,
          -0.5477949269785313,
          0.3592474419116588,
          -0.31468746421257116,
          -0.09600822365754604,
          0.16104274356014175,
          0.1005866570827027,
          0.5033731388927954,
          -0.574867427931736,
          -0.05235463686583308,
          0.2625282136249597,
          -0.6880286289691574,
          0.10859166412724713,
          -0.5655753111541125,
          -0.4882623657476247,
          -1.043750242429556,
          0.24498490133695183,
          -0.4205279464104974,
          -0.6195271446748787,
          0.4650919827993979,
          -0.13591529202399755,
          -0.10248026089651982,
          -0.03676472867287724,
          -0.4241227127781383,
          -0.5648089666386795,
          -0.3792721093241401,
          0.3295806725484686,
          -0.15769306486705026,
          -0.8162753130082538,
          0.9520123247562159,
          0.9096299508768115,
          -0.3023858316805087,
          -0.2592797864389562,
          0.16408692537178915,
          -0.041019957014283445,
          -0.016845066714441553,
          0.08436284476490358,
          0.19018769483715844,
          0.07546865970737654,
          -0.4858167022614739,
          0.5611796679395644,
          0.1370753713156796,
          -0.5851371491216961,
          0.44974799101616103,
          -0.2610766671900409,
          0.13535977043042988,
          -0.45089889155387336,
          0.6187122325364991,
          -0.012273003605088373,
          -0.870071861042225,
          0.7761540086382996,
          0.2665641690877568,
          0.35831087671731543,
          -0.1701438936538676,
          -0.5169928309978344,
          -0.18820416658559422,
          0.8801125429018204,
          -0.2145684235826026,
          -0.156675843666778,
          -0.25936614477303965,
          0.45911302318739433,
          -0.17382288909221305,
          -0.11975139867641638,
          0.52817593639692,
          -0.08784027971657951,
          -0.013446822218015159,
          0.0551454154388436,
          -0.3795547145958586,
          0.1767938193916054,
          -0.29248010049928375,
          0.6872085636687122,
          0.5396657963437477,
          -0.4435659944665034,
          -0.2706428097211072,
          0.4478377556728827,
          -0.4420652416119201,
          -0.8432371144056596,
          1.1717262067206655,
          0.5444087697308735,
          0.5500542326468046,
          -0.14861991309192496,
          0.7864113764261401,
          -0.3336480833248576,
          0.5455309924259668,
          -0.6770891796971686,
          0.4879877725576626,
          0.08338261080547874,
          0.38313263881942444,
          -0.32018741336881856,
          -0.5719099222081838,
          -0.5286010499902342,
          0.5363906280582116,
          0.3571286524976465,
          0.3867030474385279,
          0.0377365897255423,
          -0.7539311680781567,
          -0.6653518703390239,
          0.9335955400322155,
          0.4086137830157818,
          -0.580348669293716,
          -0.24324200327492068,
          0.15833620082910466,
          -0.8708191025016165,
          0.2401403600096268,
          -0.18568056122019722,
          -0.6157593226014437,
          0.08250232046514958,
          -0.7033730866892036,
          0.004264013103378025,
          -0.3997859609165378,
          -0.38223804323734145,
          0.8888674547872479,
          -0.3855606394054821,
          -0.04032917937096479,
          -0.8627307077262056,
          1.0892825114118507,
          -0.2338942204133852,
          0.8343065868698916,
          -0.3986209218178325,
          0.8208930885080884,
          0.3890822330637158,
          -0.016098278786972856,
          -0.21182140778859165,
          0.12365936613387879,
          0.13445389778293038,
          -0.47267523144101564,
          0.21476000429559894,
          0.6785617076867003,
          -0.32111941959076196,
          -0.9659217728249473,
          -1.0367945896851665,
          -0.2630151846036066,
          -0.08556618302813754,
          0.3734416346618563,
          -0.10937194607621714,
          0.06476232981598218,
          0.2507001178521988,
          0.4058709239059738,
          0.2682497145228539,
          0.22961848380908895,
          -0.15242813992570736
         ],
         "yaxis": "y4"
        },
        {
         "hovertemplate": "value=1<br>variable=label<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "1",
         "marker": {
          "color": "#EF553B",
          "size": 5,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "1",
         "showlegend": true,
         "type": "scattergl",
         "x": [
          -0.039012228621638556,
          1.7276528994837215,
          -0.5650523897221454,
          -2.249362917154692,
          1.6413171507303252,
          -1.3770189311371306,
          -0.296093420990276,
          0.15073577634709934,
          0.6781951359852729,
          0.10243448324884358,
          -0.5115861500565647,
          0.06740714015227128,
          1.8977088390818109,
          0.9666170125365425,
          0.9576444918066123,
          0.6738957004083234,
          1.4813809036042875,
          1.6705879464651077,
          0.8443832468605038,
          -1.4891123235933217,
          1.6780356897303315,
          1.0143841881282976,
          -1.5266005698192522,
          1.4790177769847683,
          -2.111173856824941,
          -2.45719976236168,
          0.6700436133746195,
          -1.1451201404695697,
          1.7018677049581763,
          -2.786817401529107,
          -2.37191472682986,
          0.2498524215715209,
          -0.7206813814261095,
          -0.4749576610112778,
          -0.9812484347082041,
          -0.19729058252265713,
          1.0604086412359106,
          1.2575443130102761,
          -0.1515361457231683,
          -2.3178243620607764,
          0.24865644387017843,
          -1.3957221050685071,
          0.8873912687847187,
          1.4866702814982073,
          1.4706665288918563,
          -1.3002353333706733,
          -0.27371574869431936,
          1.5951879603038799,
          1.3317876156630506,
          -1.3100898996505488,
          -1.8643684806697078,
          0.4183717235955538,
          0.9852872747373254,
          -0.6697559738844827,
          -0.30419818374529395,
          -1.8305842471623377,
          2.0261522749946512,
          -1.3099189634734247,
          -1.736022840719857,
          0.6600606791709478,
          0.0009613026386510182,
          -2.0384795366261144,
          -0.8339268036631897,
          1.2699455362334993,
          -0.9352823556092318,
          -1.6720861666505369,
          -1.1963970233678258,
          1.1634498977557974,
          2.138369327897423,
          1.391197643504184,
          0.684930946001159,
          -0.5072953507724862,
          -0.7629961471951947,
          -0.2194971556915996,
          0.3193220022808527,
          0.24245008036108884,
          1.6306169847633485,
          -1.8239243484005896,
          0.9409659294156225,
          1.7713350796680922,
          -2.0467138634718665,
          0.044845547385124696,
          -0.9171516962874895,
          -1.0342599593275121,
          0.7868601090977789,
          -0.9791405579914779,
          -1.0902450771699181,
          2.0482994359864026,
          0.2750750045994035,
          -1.583534576810572,
          -0.5816875454510945,
          -2.4832340130524155,
          2.2628376534196195,
          -1.2424967956095263,
          1.5122826106916527,
          0.9674255636284128,
          2.532963332194703,
          1.6419226620070706,
          -1.3323249655104556,
          1.7739244007503854,
          -1.794577546171197,
          1.2623668282695362,
          -1.7239584184775925,
          -0.434879492685904,
          -0.8699208019822325,
          1.785717422729617,
          -0.967825665622436,
          -1.8034936557791315,
          1.4871761023443666,
          1.6649810982721225,
          -1.0600173289866262,
          -1.1430681781397942,
          -2.317981941417777,
          -1.5137434125472686,
          -1.769422004330432,
          1.052030188896767,
          -0.6170532121451161,
          2.4811104303063543,
          -2.163347034213621,
          -2.238411177748033,
          -2.5409546279037807,
          -0.9638549634949845,
          -1.5731894425342854,
          -0.17416518477141366,
          1.604923525748615,
          -1.378616092471509,
          -0.40761866274880176,
          1.5267123065328787,
          -1.594546628840702,
          -1.832083340228563,
          1.413201091813646,
          -2.5697706752567586,
          -1.0699098418642783,
          0.9264928523527237,
          -0.16181946814755863,
          -2.020695630701857,
          -2.6567747300475455,
          -2.0604272065033875,
          -2.447455840720609,
          1.7741945251476439,
          -1.633555526422096,
          0.07786995803184699,
          -2.112846691061212,
          2.2801966213107394,
          -1.6950348859628832,
          -2.1401011609434257,
          -2.5947364989486754,
          1.6809109011293846,
          2.9485870555849933,
          -1.595142116356145,
          2.6890839527222,
          -2.5138780239932403,
          -1.5335040190367428,
          -1.4764863506984505,
          -1.6688321334027423,
          2.2505273393595964,
          -0.5746892643367882,
          -0.6325607975783097,
          -2.087700491629842,
          0.5269590806328275,
          -1.3055402526103397,
          0.3756614251905466,
          -0.03635484721351495,
          2.586559428557186,
          -1.0272977082323689,
          1.5416463961032032,
          0.983449556375763,
          -0.4793083193499349,
          -0.7296048904319005,
          -1.7426886364240939,
          1.2319277850955994,
          -0.6288274525736688,
          -1.7481173978358417,
          -0.08216198786968884,
          1.8465522766374558,
          0.3933236559204593,
          -1.3856036919954056,
          -2.820148602061482,
          -2.212293219041369,
          -1.9040290848479127,
          -0.6409220200796886,
          1.5943148728746532,
          0.49326940205983805,
          -0.23945561774099522,
          0.5394755444316203,
          1.9097291960583431,
          -1.8025648992773886,
          -2.009306269738481,
          -0.443012283655355,
          -0.994202047084523,
          -2.4470531620485514,
          0.02697710258525965,
          -0.4895084369136866,
          1.1329559116113566,
          1.2308961785554993,
          1.632654912113028,
          1.7490773959226944,
          1.3010720302148076,
          0.4306819576811415,
          0.8439748706730466,
          1.394094468508074,
          1.4935143316335835,
          -1.9213966136240543,
          -1.7106022418347404,
          0.5930844232058915,
          -1.2454008553438325,
          1.218823322938861,
          1.9815961730492684,
          3.228176388127757,
          1.5359929797182093,
          1.8845133512493086,
          -0.5557330818175675,
          1.7632582380803679,
          0.0007733801339351865,
          -1.7668228761266869,
          -1.210982895634066,
          1.9320317117879384,
          1.2136588990207353,
          -0.920409508081902,
          -0.6795787146003736,
          -0.8904218019676812,
          -0.3032294146780732,
          -0.6723889870614824,
          0.5917441005469325,
          1.0022759643525458,
          -0.5839378209383043,
          0.5282045883276957,
          0.029861177464618416,
          -1.1387516485658002,
          0.9234337922504167,
          -1.78110701315727,
          -0.6633358519884783,
          2.0280977882083,
          -0.3398696526708901,
          0.6396932989618966,
          1.212857367517696,
          1.8444648600403517,
          -1.8037162173375871,
          0.8369217951544439,
          1.8080254709179095,
          0.1454159574937285,
          -0.98848616309659,
          0.00019727273391001443,
          0.6408562580688969,
          -1.1693742005549763,
          -0.1305882866216287,
          -0.9196552187214048,
          -0.19425150241522116,
          1.2667482065171338,
          -2.5434891048823633,
          -0.5511304338007317,
          0.9500261955151671,
          1.5317691143632406,
          0.9834306458471885,
          2.19456573507106,
          0.2592135053754172,
          -1.9953804407674363,
          -2.0274115716939747,
          2.769699134651015,
          2.57343757736877,
          1.9238110975335907,
          -1.7360994850221456,
          0.9430028228643197,
          2.470494864974878,
          -0.7043959092679235,
          -0.04681072388784696,
          0.22039795085590752,
          0.41810351002712987,
          1.4949106795039395,
          -0.75871188300168,
          0.4821487543704097,
          -0.9825591841939711,
          -1.3475768517591231,
          1.9080804080384226,
          0.05340311599237002,
          -1.0379958569532548,
          -1.9537887798680154,
          -1.2800741060989056,
          2.131856776763106,
          1.237946384759997,
          -2.1452515746998535,
          0.8068873026933328,
          -1.4054538629438837,
          -0.46816098511190196,
          -1.4139230691504139,
          1.1722520728860193,
          1.8026138794093534,
          -1.1963012868950216,
          1.2546986467018564,
          0.26297520019243426,
          0.6796982766190642,
          -1.2591560328393163,
          -2.8201929344566774,
          0.3741739402192743,
          0.4459302452970386,
          0.7629285279694065,
          -1.8084235550318297,
          -1.315359964237099,
          2.1213041976348106,
          -1.658127072424907,
          -0.40486372248966396,
          -0.9162191147082366,
          -1.579535620326612,
          1.4843965725584436
         ],
         "xaxis": "x",
         "y": [
          -2.16904330589025,
          -0.979863148407186,
          1.2446528215228985,
          -0.1043716359557505,
          -1.401141426541061,
          -0.11002701376295976,
          1.6899267041126182,
          1.9012104289032337,
          1.4468726675455834,
          2.2218434720787874,
          -1.3435598015634538,
          -1.6657129212518609,
          -0.18856141871140558,
          -0.8636988703414736,
          1.060812861738163,
          -1.9888028427317452,
          1.2387101739842397,
          0.5746924267781698,
          -2.228380923958223,
          -2.141868053380491,
          -1.7332029553962336,
          1.7006642321079617,
          0.6970329683023891,
          -0.4288737153590226,
          -1.1397234113283687,
          -0.06963362562398537,
          2.2039480957035904,
          -1.869320391034658,
          -1.7211635858794785,
          1.2662924661718284,
          0.08212858620258784,
          -1.8796476413534922,
          2.2613330427664287,
          -1.5791513447494117,
          -1.521001910765991,
          -1.5132776028478125,
          -1.8498551068603781,
          -0.8781162045373915,
          1.276664182177821,
          0.5674232242016444,
          2.7365411443186556,
          -0.5924278516373113,
          2.7404407305117173,
          -0.658570192238938,
          -0.6320762054234034,
          -2.0922601552796687,
          -1.6409393756239676,
          0.8744659346424593,
          -1.784230307673987,
          -2.3895886564274362,
          -0.8346249100243124,
          -1.3852394096482628,
          2.1783078470797888,
          -1.9885609996880609,
          -2.1689297952761732,
          -2.410385945462777,
          -2.3183579630108175,
          -1.8004949676825657,
          1.368084296603281,
          -1.076930170949463,
          1.7204834559342979,
          0.9892695545124246,
          -0.314612169432015,
          1.6874312404626362,
          2.218056248564923,
          0.11232847191140416,
          2.128118641690072,
          -1.5929899899517452,
          -0.39688530178995135,
          -1.3261513462639531,
          1.9783080587055382,
          1.658423362376177,
          2.3830768768126527,
          2.207899050557031,
          -1.6684695211278875,
          -2.3156341824882767,
          -1.5927161633249818,
          -0.9836362606323643,
          -2.265286901113978,
          0.9054814560929645,
          -1.122469472654072,
          0.8486921313526852,
          -2.0207341291098175,
          1.1096308380192954,
          2.36033523534076,
          -0.363102551645655,
          -1.1032161510540566,
          -0.04194125062322396,
          -2.2833930677586673,
          -1.0056254652698828,
          1.8605708743223066,
          0.792786114437663,
          -1.350693787954316,
          -0.3379422132356826,
          -2.105753603664111,
          -1.7730050759592535,
          2.1825241187952367,
          1.3851165737691682,
          -0.3717611614852513,
          -1.550665861896647,
          -0.8657010422947921,
          0.7152811900276704,
          -1.9697827069999172,
          -2.515613756399137,
          -0.8833993861522591,
          0.6509585272970435,
          1.7349243986060976,
          -1.8433819818885497,
          -2.130131182105103,
          1.1884121410572037,
          -0.9855950137559277,
          -0.5602973788188673,
          2.1186293569080568,
          -0.35379856725858927,
          -0.8762163935586291,
          1.6677459127435783,
          -1.6952461737782005,
          -0.4590852670151984,
          0.12806578492599754,
          -1.1036921409316196,
          0.7698389355046773,
          2.1046921192701364,
          -0.8286615119372713,
          2.1510833140824133,
          1.6636407595129046,
          1.79816435121025,
          2.2595834111710174,
          -0.9258795841028562,
          1.1505375801967226,
          -0.7578087009937673,
          2.068642534034289,
          -0.3157087146380313,
          1.949656257343563,
          -2.2871355716127155,
          1.3898007800719616,
          0.2889507336028134,
          -0.4390293840208738,
          2.3535027316182977,
          0.8735357274687727,
          0.5228718928100047,
          -0.5474808525751577,
          1.850672544252722,
          -1.0323408439360744,
          0.4222871226513388,
          1.2920438575519506,
          -0.658008053059925,
          -1.5518241318192807,
          -0.05936959540150255,
          -0.07925828589510384,
          -0.016888173696085418,
          0.2479928597060801,
          -0.8244333447850286,
          -1.5449598140476253,
          1.1096895643400895,
          0.8355031965767715,
          -1.8753145783049798,
          -1.6930018339231057,
          1.0587074672570518,
          1.250648873078005,
          -2.683680343493281,
          -1.1948519461763358,
          2.2432598042632956,
          2.0883291053145396,
          -1.6639989696593838,
          2.4538176465201533,
          -1.2547348624200494,
          1.3632932057385385,
          1.1416852318988469,
          -2.174600681312596,
          0.8440664525264151,
          1.146116876624397,
          -1.916907408744093,
          -1.7159863155101263,
          2.5991822054677476,
          -0.16298802666596113,
          1.9308773593055797,
          -0.797116710416836,
          -1.5137160839654367,
          1.2071223235984379,
          -0.6910609570393975,
          1.6073734234654387,
          1.007145277167506,
          -1.8467390608301282,
          1.9527098044099784,
          -0.6880286289691574,
          0.2263020300531856,
          0.622946361571823,
          -0.2687601219608679,
          -2.1206474521856498,
          1.8286348889961757,
          -0.2094318237319412,
          -1.8043849300946921,
          1.9391409312551091,
          1.8027833667238615,
          -1.5440887714520333,
          1.010673960389165,
          1.3755457019177006,
          0.5165600071444345,
          -1.928792523328538,
          2.319888660312667,
          2.6073534784119183,
          1.2047896925560644,
          1.8582001513434383,
          -1.949628212934355,
          0.9096299508768115,
          -1.324600997025448,
          1.7430295595452,
          0.7254704840730736,
          -0.784593368271266,
          -0.27515323887241855,
          -0.5816627035584205,
          2.6313516206515866,
          -2.320519361683289,
          2.410095112495973,
          -1.3676813200699063,
          0.1370753713156796,
          -1.8989215349373954,
          0.5119598742143259,
          2.4120346898901546,
          -0.012273003605088373,
          -1.2196393760335424,
          1.4834263529147513,
          -1.7586720033860324,
          0.7761540086382996,
          1.0911483868342127,
          -1.3251398582668052,
          1.706955877465254,
          2.6514442455768483,
          -2.0483103015910538,
          -1.8342651771953444,
          -0.7185148708936029,
          -2.0867424215958237,
          -1.0125307680837334,
          -1.9816571287953453,
          -1.4873792195191746,
          -2.013727921255767,
          -0.5483371963998606,
          -0.8892989616639932,
          -2.0795795378665543,
          0.8869515820791178,
          1.3377348650228187,
          -1.6202906358096318,
          2.2502742100406836,
          -1.9843492098761997,
          2.0028196206058477,
          -0.8432371144056596,
          -1.5779989225956932,
          -2.4165164384633644,
          -0.9242191407242372,
          0.21766763103034736,
          1.1773511637888658,
          -1.633522672286063,
          0.07894717336958257,
          -2.147782466367344,
          0.05524925187557722,
          -1.6659622607415332,
          0.45620284566591063,
          1.276100148112069,
          0.6727314300738939,
          -0.1883863913309789,
          -0.4417112467333083,
          1.2590988104526082,
          -1.3967796370860088,
          -0.05270963091396702,
          1.0762405107071866,
          -1.9922918448178628,
          1.8355444235507627,
          -1.7235998761669689,
          -1.0951879541519534,
          -0.6157593226014437,
          -2.045492510601244,
          2.1637063817624975,
          -1.4899745496226962,
          -2.779567764650759,
          1.0892825114118507,
          -1.1917333103033079,
          0.4376835751572467,
          1.9089423505954124,
          1.0414746221213156,
          1.7339554730263023,
          -0.21793937075418648,
          2.1226735275935487,
          1.559804897508855,
          2.3606971027750148,
          -0.5602496541579444,
          1.2183276329002186,
          0.22675721621171585,
          0.6702100485736949,
          2.1236228238949852,
          2.8614559453211887,
          2.4076800234155753,
          -2.6005922004684328,
          -0.24692708771022134,
          0.6785617076867003,
          -1.0367945896851665,
          -2.0007515610400515,
          1.5104652262675335,
          1.9311550747187827,
          0.2585561529706566,
          1.2052171567619516,
          -2.0223461933000335,
          2.1559357899923555,
          0.35113095249010945,
          1.769167045220141
         ],
         "yaxis": "y"
        },
        {
         "hovertemplate": "value=1<br>variable=DecisionTree<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "1",
         "marker": {
          "color": "#EF553B",
          "size": 5,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "1",
         "showlegend": false,
         "type": "scattergl",
         "x": [
          -0.039012228621638556,
          1.2161660132710235,
          1.7276528994837215,
          -0.5650523897221454,
          -2.249362917154692,
          1.6413171507303252,
          -1.3770189311371306,
          -0.296093420990276,
          0.15073577634709934,
          0.6781951359852729,
          0.10243448324884358,
          -0.5115861500565647,
          0.06740714015227128,
          1.8977088390818109,
          0.6738957004083234,
          1.4813809036042875,
          1.6705879464651077,
          0.8443832468605038,
          -1.4891123235933217,
          1.6780356897303315,
          1.0143841881282976,
          -1.5266005698192522,
          1.4790177769847683,
          -2.111173856824941,
          -2.45719976236168,
          0.6700436133746195,
          -1.1451201404695697,
          1.7018677049581763,
          -2.786817401529107,
          -2.37191472682986,
          0.2498524215715209,
          -0.7206813814261095,
          -0.4749576610112778,
          -0.9812484347082041,
          -0.19729058252265713,
          1.3135229568822748,
          1.0604086412359106,
          1.2575443130102761,
          -0.1515361457231683,
          -2.3178243620607764,
          0.24865644387017843,
          -1.3957221050685071,
          1.2120229946402894,
          0.5967669286965589,
          0.8873912687847187,
          1.4866702814982073,
          1.4706665288918563,
          -1.3002353333706733,
          -0.27371574869431936,
          1.5951879603038799,
          1.3317876156630506,
          -1.3100898996505488,
          -1.8643684806697078,
          0.4183717235955538,
          0.9852872747373254,
          -0.6697559738844827,
          -0.30419818374529395,
          -1.8305842471623377,
          2.0261522749946512,
          -1.317738986123144,
          -1.3099189634734247,
          1.3551558555785017,
          -1.736022840719857,
          0.6600606791709478,
          1.1885327973824689,
          0.0009613026386510182,
          -2.0384795366261144,
          1.2699455362334993,
          -0.9352823556092318,
          -1.6720861666505369,
          -1.1963970233678258,
          1.1634498977557974,
          2.138369327897423,
          1.391197643504184,
          0.684930946001159,
          -0.5072953507724862,
          -0.7629961471951947,
          -0.2194971556915996,
          0.3193220022808527,
          0.24245008036108884,
          1.6306169847633485,
          -1.8239243484005896,
          0.9409659294156225,
          1.7713350796680922,
          -2.0467138634718665,
          -0.9171516962874895,
          0.7868601090977789,
          -1.0902450771699181,
          2.0482994359864026,
          0.2750750045994035,
          -1.583534576810572,
          -0.5816875454510945,
          -2.4832340130524155,
          2.2628376534196195,
          1.5122826106916527,
          0.9674255636284128,
          2.532963332194703,
          1.6419226620070706,
          -1.3323249655104556,
          1.7739244007503854,
          -1.794577546171197,
          1.2623668282695362,
          -1.7239584184775925,
          0.10850680908216809,
          -0.434879492685904,
          -0.06997302915531048,
          1.785717422729617,
          -0.967825665622436,
          -1.8034936557791315,
          1.4871761023443666,
          1.6649810982721225,
          -2.317981941417777,
          -1.5137434125472686,
          -1.769422004330432,
          1.052030188896767,
          -0.6170532121451161,
          2.4811104303063543,
          -2.163347034213621,
          -2.238411177748033,
          -2.5409546279037807,
          -0.9638549634949845,
          -1.5731894425342854,
          -0.17416518477141366,
          1.604923525748615,
          -0.16679992317618816,
          -1.378616092471509,
          -0.40761866274880176,
          1.5267123065328787,
          -1.594546628840702,
          -1.832083340228563,
          1.413201091813646,
          -2.5697706752567586,
          -1.0699098418642783,
          0.9264928523527237,
          -0.16181946814755863,
          -2.020695630701857,
          -2.6567747300475455,
          -2.0604272065033875,
          -2.447455840720609,
          1.7741945251476439,
          -1.633555526422096,
          0.07786995803184699,
          -2.112846691061212,
          -0.8619865646410078,
          2.2801966213107394,
          -1.6950348859628832,
          -2.1401011609434257,
          -2.5947364989486754,
          1.6809109011293846,
          2.9485870555849933,
          -1.595142116356145,
          2.6890839527222,
          -2.5138780239932403,
          -1.5335040190367428,
          -1.4764863506984505,
          -1.6688321334027423,
          2.2505273393595964,
          -0.5746892643367882,
          -2.087700491629842,
          0.5269590806328275,
          -1.3055402526103397,
          0.3756614251905466,
          -0.03635484721351495,
          2.586559428557186,
          -1.0272977082323689,
          1.5416463961032032,
          0.983449556375763,
          -0.7296048904319005,
          -1.7426886364240939,
          1.2319277850955994,
          -0.6288274525736688,
          -1.7481173978358417,
          -0.08216198786968884,
          1.8465522766374558,
          0.3933236559204593,
          -1.3856036919954056,
          -2.820148602061482,
          -2.212293219041369,
          -1.9040290848479127,
          -0.6409220200796886,
          1.5943148728746532,
          0.49326940205983805,
          -0.23945561774099522,
          1.9097291960583431,
          -1.8025648992773886,
          0.22745843866456333,
          -2.009306269738481,
          -0.443012283655355,
          -0.994202047084523,
          -2.4470531620485514,
          0.02697710258525965,
          -0.4895084369136866,
          1.1329559116113566,
          1.2308961785554993,
          1.632654912113028,
          1.7490773959226944,
          1.3010720302148076,
          0.4306819576811415,
          0.8439748706730466,
          1.394094468508074,
          1.4935143316335835,
          -1.9213966136240543,
          -1.7106022418347404,
          -1.3700304739784497,
          -1.2454008553438325,
          1.218823322938861,
          1.9815961730492684,
          3.228176388127757,
          1.5359929797182093,
          1.8845133512493086,
          -0.5557330818175675,
          1.7632582380803679,
          0.0007733801339351865,
          -1.7668228761266869,
          1.9320317117879384,
          1.2136588990207353,
          -0.920409508081902,
          -0.8904218019676812,
          -0.3032294146780732,
          -0.6723889870614824,
          1.3775557279028352,
          -0.5839378209383043,
          0.5282045883276957,
          0.029861177464618416,
          -1.1387516485658002,
          0.9234337922504167,
          -1.78110701315727,
          -0.6633358519884783,
          2.0280977882083,
          -0.3398696526708901,
          0.6396932989618966,
          1.212857367517696,
          1.8444648600403517,
          -1.8037162173375871,
          0.8369217951544439,
          1.8080254709179095,
          0.1454159574937285,
          -0.98848616309659,
          0.00019727273391001443,
          -0.5759351897260311,
          0.6408562580688969,
          -1.1693742005549763,
          -0.9196552187214048,
          -0.19425150241522116,
          1.2667482065171338,
          -2.5434891048823633,
          0.9500261955151671,
          1.5317691143632406,
          0.9834306458471885,
          2.19456573507106,
          0.2592135053754172,
          -1.9953804407674363,
          -2.0274115716939747,
          2.769699134651015,
          2.57343757736877,
          1.9238110975335907,
          -1.7360994850221456,
          0.9430028228643197,
          2.470494864974878,
          -0.04681072388784696,
          0.22039795085590752,
          0.41810351002712987,
          1.4949106795039395,
          0.4821487543704097,
          -0.9825591841939711,
          -1.3475768517591231,
          1.9080804080384226,
          -1.0379958569532548,
          -1.9537887798680154,
          -1.2800741060989056,
          2.131856776763106,
          1.237946384759997,
          -2.1452515746998535,
          0.8068873026933328,
          -1.4054538629438837,
          -0.46816098511190196,
          -0.24865332979929045,
          -1.4139230691504139,
          1.1722520728860193,
          1.8026138794093534,
          1.2546986467018564,
          0.26297520019243426,
          0.6796982766190642,
          -1.2591560328393163,
          -2.8201929344566774,
          0.4459302452970386,
          0.7629285279694065,
          -1.8084235550318297,
          -1.315359964237099,
          2.1213041976348106,
          -1.658127072424907,
          -0.40486372248966396,
          -0.9162191147082366,
          -1.579535620326612,
          1.4843965725584436
         ],
         "xaxis": "x2",
         "y": [
          -2.16904330589025,
          0.3475378038625893,
          -0.979863148407186,
          1.2446528215228985,
          -0.1043716359557505,
          -1.401141426541061,
          -0.11002701376295976,
          1.6899267041126182,
          1.9012104289032337,
          1.4468726675455834,
          2.2218434720787874,
          -1.3435598015634538,
          -1.6657129212518609,
          -0.18856141871140558,
          -1.9888028427317452,
          1.2387101739842397,
          0.5746924267781698,
          -2.228380923958223,
          -2.141868053380491,
          -1.7332029553962336,
          1.7006642321079617,
          0.6970329683023891,
          -0.4288737153590226,
          -1.1397234113283687,
          -0.06963362562398537,
          2.2039480957035904,
          -1.869320391034658,
          -1.7211635858794785,
          1.2662924661718284,
          0.08212858620258784,
          -1.8796476413534922,
          2.2613330427664287,
          -1.5791513447494117,
          -1.521001910765991,
          -1.5132776028478125,
          -0.4170964736905659,
          -1.8498551068603781,
          -0.8781162045373915,
          1.276664182177821,
          0.5674232242016444,
          2.7365411443186556,
          -0.5924278516373113,
          -0.29866834909259615,
          -1.0461460138839214,
          2.7404407305117173,
          -0.658570192238938,
          -0.6320762054234034,
          -2.0922601552796687,
          -1.6409393756239676,
          0.8744659346424593,
          -1.784230307673987,
          -2.3895886564274362,
          -0.8346249100243124,
          -1.3852394096482628,
          2.1783078470797888,
          -1.9885609996880609,
          -2.1689297952761732,
          -2.410385945462777,
          -2.3183579630108175,
          0.8821649926824079,
          -1.8004949676825657,
          0.48563074842327664,
          1.368084296603281,
          -1.076930170949463,
          -0.5216036560053215,
          1.7204834559342979,
          0.9892695545124246,
          1.6874312404626362,
          2.218056248564923,
          0.11232847191140416,
          2.128118641690072,
          -1.5929899899517452,
          -0.39688530178995135,
          -1.3261513462639531,
          1.9783080587055382,
          1.658423362376177,
          2.3830768768126527,
          2.207899050557031,
          -1.6684695211278875,
          -2.3156341824882767,
          -1.5927161633249818,
          -0.9836362606323643,
          -2.265286901113978,
          0.9054814560929645,
          -1.122469472654072,
          -2.0207341291098175,
          2.36033523534076,
          -1.1032161510540566,
          -0.04194125062322396,
          -2.2833930677586673,
          -1.0056254652698828,
          1.8605708743223066,
          0.792786114437663,
          -1.350693787954316,
          -2.105753603664111,
          -1.7730050759592535,
          2.1825241187952367,
          1.3851165737691682,
          -0.3717611614852513,
          -1.550665861896647,
          -0.8657010422947921,
          0.7152811900276704,
          -1.9697827069999172,
          1.8054934226963117,
          -2.515613756399137,
          -1.2832653192377417,
          0.6509585272970435,
          1.7349243986060976,
          -1.8433819818885497,
          -2.130131182105103,
          1.1884121410572037,
          2.1186293569080568,
          -0.35379856725858927,
          -0.8762163935586291,
          1.6677459127435783,
          -1.6952461737782005,
          -0.4590852670151984,
          0.12806578492599754,
          -1.1036921409316196,
          0.7698389355046773,
          2.1046921192701364,
          -0.8286615119372713,
          2.1510833140824133,
          1.6636407595129046,
          1.3745685063160695,
          1.79816435121025,
          2.2595834111710174,
          -0.9258795841028562,
          1.1505375801967226,
          -0.7578087009937673,
          2.068642534034289,
          -0.3157087146380313,
          1.949656257343563,
          -2.2871355716127155,
          1.3898007800719616,
          0.2889507336028134,
          -0.4390293840208738,
          2.3535027316182977,
          0.8735357274687727,
          0.5228718928100047,
          -0.5474808525751577,
          1.850672544252722,
          -1.0323408439360744,
          1.424689507006326,
          0.4222871226513388,
          1.2920438575519506,
          -0.658008053059925,
          -1.5518241318192807,
          -0.05936959540150255,
          -0.07925828589510384,
          -0.016888173696085418,
          0.2479928597060801,
          -0.8244333447850286,
          -1.5449598140476253,
          1.1096895643400895,
          0.8355031965767715,
          -1.8753145783049798,
          -1.6930018339231057,
          1.250648873078005,
          -2.683680343493281,
          -1.1948519461763358,
          2.2432598042632956,
          2.0883291053145396,
          -1.6639989696593838,
          2.4538176465201533,
          -1.2547348624200494,
          1.3632932057385385,
          -2.174600681312596,
          0.8440664525264151,
          1.146116876624397,
          -1.916907408744093,
          -1.7159863155101263,
          2.5991822054677476,
          -0.16298802666596113,
          1.9308773593055797,
          -0.797116710416836,
          -1.5137160839654367,
          1.2071223235984379,
          -0.6910609570393975,
          1.6073734234654387,
          1.007145277167506,
          -1.8467390608301282,
          1.9527098044099784,
          0.2263020300531856,
          0.622946361571823,
          -1.043750242429556,
          -0.2687601219608679,
          -2.1206474521856498,
          1.8286348889961757,
          -0.2094318237319412,
          -1.8043849300946921,
          1.9391409312551091,
          1.8027833667238615,
          -1.5440887714520333,
          1.010673960389165,
          1.3755457019177006,
          0.5165600071444345,
          -1.928792523328538,
          2.319888660312667,
          2.6073534784119183,
          1.2047896925560644,
          1.8582001513434383,
          -1.949628212934355,
          -0.39088560471683054,
          -1.324600997025448,
          1.7430295595452,
          0.7254704840730736,
          -0.784593368271266,
          -0.27515323887241855,
          -0.5816627035584205,
          2.6313516206515866,
          -2.320519361683289,
          2.410095112495973,
          -1.3676813200699063,
          -1.8989215349373954,
          0.5119598742143259,
          2.4120346898901546,
          -1.2196393760335424,
          1.4834263529147513,
          -1.7586720033860324,
          0.5713328023658393,
          -1.3251398582668052,
          1.706955877465254,
          2.6514442455768483,
          -2.0483103015910538,
          -1.8342651771953444,
          -0.7185148708936029,
          -2.0867424215958237,
          -1.0125307680837334,
          -1.9816571287953453,
          -1.4873792195191746,
          -2.013727921255767,
          -0.5483371963998606,
          -0.8892989616639932,
          -2.0795795378665543,
          0.8869515820791178,
          1.3377348650228187,
          -1.6202906358096318,
          2.2502742100406836,
          1.2809567976341765,
          -1.9843492098761997,
          2.0028196206058477,
          -1.5779989225956932,
          -2.4165164384633644,
          -0.9242191407242372,
          0.21766763103034736,
          -1.633522672286063,
          0.07894717336958257,
          -2.147782466367344,
          0.05524925187557722,
          -1.6659622607415332,
          0.45620284566591063,
          1.276100148112069,
          0.6727314300738939,
          -0.1883863913309789,
          -0.4417112467333083,
          1.2590988104526082,
          -1.3967796370860088,
          -0.05270963091396702,
          -1.9922918448178628,
          1.8355444235507627,
          -1.7235998761669689,
          -1.0951879541519534,
          -2.045492510601244,
          2.1637063817624975,
          -1.4899745496226962,
          -2.779567764650759,
          -1.1917333103033079,
          0.4376835751572467,
          1.9089423505954124,
          1.0414746221213156,
          1.7339554730263023,
          -0.21793937075418648,
          2.1226735275935487,
          1.559804897508855,
          2.3606971027750148,
          1.4663962191777553,
          -0.5602496541579444,
          1.2183276329002186,
          0.22675721621171585,
          2.1236228238949852,
          2.8614559453211887,
          2.4076800234155753,
          -2.6005922004684328,
          -0.24692708771022134,
          -1.0367945896851665,
          -2.0007515610400515,
          1.5104652262675335,
          1.9311550747187827,
          0.2585561529706566,
          1.2052171567619516,
          -2.0223461933000335,
          2.1559357899923555,
          0.35113095249010945,
          1.769167045220141
         ],
         "yaxis": "y2"
        },
        {
         "hovertemplate": "value=1<br>variable=XGBoost<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "1",
         "marker": {
          "color": "#EF553B",
          "size": 5,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "1",
         "showlegend": false,
         "type": "scattergl",
         "x": [
          -0.039012228621638556,
          1.2161660132710235,
          1.7276528994837215,
          -0.5650523897221454,
          -2.249362917154692,
          1.6413171507303252,
          -1.3770189311371306,
          -0.296093420990276,
          0.15073577634709934,
          0.6781951359852729,
          0.10243448324884358,
          -0.5115861500565647,
          0.06740714015227128,
          1.8977088390818109,
          0.9576444918066123,
          0.6738957004083234,
          1.4813809036042875,
          1.6705879464651077,
          0.8443832468605038,
          -1.4891123235933217,
          1.6780356897303315,
          1.0143841881282976,
          -1.5266005698192522,
          1.4790177769847683,
          -2.111173856824941,
          -2.45719976236168,
          0.6700436133746195,
          -1.1451201404695697,
          1.7018677049581763,
          -2.786817401529107,
          -2.37191472682986,
          0.2498524215715209,
          -0.7206813814261095,
          -0.4749576610112778,
          -0.9812484347082041,
          -0.19729058252265713,
          1.3135229568822748,
          1.0604086412359106,
          1.2575443130102761,
          -0.1515361457231683,
          -2.3178243620607764,
          0.24865644387017843,
          -1.3957221050685071,
          1.2120229946402894,
          0.5967669286965589,
          0.8873912687847187,
          1.4866702814982073,
          1.4706665288918563,
          -1.3002353333706733,
          -0.27371574869431936,
          1.5951879603038799,
          1.3317876156630506,
          -1.3100898996505488,
          -1.8643684806697078,
          0.4183717235955538,
          0.9852872747373254,
          -0.6697559738844827,
          -0.30419818374529395,
          -1.8305842471623377,
          2.0261522749946512,
          -1.317738986123144,
          -1.3099189634734247,
          1.3551558555785017,
          -1.736022840719857,
          0.6600606791709478,
          1.1885327973824689,
          0.0009613026386510182,
          -2.0384795366261144,
          1.2699455362334993,
          -0.9352823556092318,
          -1.6720861666505369,
          -1.1963970233678258,
          1.1634498977557974,
          2.138369327897423,
          1.391197643504184,
          0.684930946001159,
          -0.5072953507724862,
          -0.7629961471951947,
          -0.2194971556915996,
          0.3193220022808527,
          0.24245008036108884,
          1.6306169847633485,
          -1.8239243484005896,
          0.9409659294156225,
          1.7713350796680922,
          -2.0467138634718665,
          -0.9171516962874895,
          -1.0342599593275121,
          0.7868601090977789,
          -1.0902450771699181,
          2.0482994359864026,
          0.2750750045994035,
          -1.583534576810572,
          -0.5816875454510945,
          -2.4832340130524155,
          2.2628376534196195,
          1.5122826106916527,
          0.9674255636284128,
          2.532963332194703,
          1.6419226620070706,
          -1.3323249655104556,
          1.7739244007503854,
          -1.794577546171197,
          1.2623668282695362,
          -1.7239584184775925,
          0.10850680908216809,
          -0.434879492685904,
          -0.06997302915531048,
          1.785717422729617,
          -0.967825665622436,
          -1.8034936557791315,
          1.4871761023443666,
          1.6649810982721225,
          -1.0600173289866262,
          -2.317981941417777,
          -1.5137434125472686,
          -1.769422004330432,
          1.052030188896767,
          -0.6170532121451161,
          2.4811104303063543,
          -2.163347034213621,
          -2.238411177748033,
          -2.5409546279037807,
          -0.9638549634949845,
          -1.5731894425342854,
          -0.17416518477141366,
          1.604923525748615,
          -0.16679992317618816,
          -1.378616092471509,
          -0.40761866274880176,
          1.5267123065328787,
          -1.594546628840702,
          -1.832083340228563,
          1.413201091813646,
          -2.5697706752567586,
          -1.0699098418642783,
          0.9264928523527237,
          -0.16181946814755863,
          -2.020695630701857,
          -2.6567747300475455,
          -2.0604272065033875,
          -2.447455840720609,
          1.7741945251476439,
          -1.633555526422096,
          0.07786995803184699,
          -2.112846691061212,
          -0.8619865646410078,
          2.2801966213107394,
          -1.6950348859628832,
          -2.1401011609434257,
          -2.5947364989486754,
          1.6809109011293846,
          2.9485870555849933,
          -1.595142116356145,
          2.6890839527222,
          -2.5138780239932403,
          -1.5335040190367428,
          -1.4764863506984505,
          -1.6688321334027423,
          2.2505273393595964,
          -0.5746892643367882,
          -2.087700491629842,
          0.5269590806328275,
          -1.3055402526103397,
          0.3756614251905466,
          -0.03635484721351495,
          2.586559428557186,
          -1.0272977082323689,
          1.5416463961032032,
          0.983449556375763,
          -0.7296048904319005,
          -1.7426886364240939,
          1.2319277850955994,
          -0.6288274525736688,
          -1.7481173978358417,
          -0.08216198786968884,
          1.8465522766374558,
          0.3933236559204593,
          -1.3856036919954056,
          -2.820148602061482,
          -2.212293219041369,
          -1.9040290848479127,
          -0.6409220200796886,
          1.5943148728746532,
          0.49326940205983805,
          -0.23945561774099522,
          1.9097291960583431,
          -1.8025648992773886,
          -2.009306269738481,
          -0.443012283655355,
          -0.994202047084523,
          -2.4470531620485514,
          0.02697710258525965,
          -0.4895084369136866,
          1.1329559116113566,
          1.2308961785554993,
          1.632654912113028,
          1.7490773959226944,
          1.3010720302148076,
          0.4306819576811415,
          0.8439748706730466,
          1.394094468508074,
          1.4935143316335835,
          -1.9213966136240543,
          -1.7106022418347404,
          -1.3700304739784497,
          -1.2454008553438325,
          1.218823322938861,
          1.9815961730492684,
          3.228176388127757,
          1.5359929797182093,
          1.8845133512493086,
          -0.5557330818175675,
          1.7632582380803679,
          0.0007733801339351865,
          -1.7668228761266869,
          1.9320317117879384,
          1.2136588990207353,
          -0.920409508081902,
          -0.8904218019676812,
          -0.3032294146780732,
          -0.6723889870614824,
          1.3775557279028352,
          1.0022759643525458,
          -0.5839378209383043,
          0.5282045883276957,
          0.029861177464618416,
          -1.1387516485658002,
          0.9234337922504167,
          -1.78110701315727,
          -0.6633358519884783,
          2.0280977882083,
          -0.3398696526708901,
          0.6396932989618966,
          1.212857367517696,
          1.8444648600403517,
          -1.8037162173375871,
          0.8369217951544439,
          1.8080254709179095,
          0.1454159574937285,
          -0.98848616309659,
          0.00019727273391001443,
          -0.5759351897260311,
          0.6408562580688969,
          -1.1693742005549763,
          -0.9196552187214048,
          -0.19425150241522116,
          1.2667482065171338,
          -2.5434891048823633,
          0.9500261955151671,
          1.5317691143632406,
          0.9834306458471885,
          2.19456573507106,
          0.2592135053754172,
          -1.9953804407674363,
          -2.0274115716939747,
          2.769699134651015,
          2.57343757736877,
          1.9238110975335907,
          -1.7360994850221456,
          0.9430028228643197,
          2.470494864974878,
          -0.7043959092679235,
          -0.04681072388784696,
          0.22039795085590752,
          0.41810351002712987,
          1.4949106795039395,
          0.4821487543704097,
          -0.9825591841939711,
          -1.3475768517591231,
          1.9080804080384226,
          -1.0379958569532548,
          -1.9537887798680154,
          -1.2800741060989056,
          2.131856776763106,
          1.237946384759997,
          -2.1452515746998535,
          0.8068873026933328,
          -1.4054538629438837,
          -0.46816098511190196,
          -0.24865332979929045,
          -1.4139230691504139,
          1.1722520728860193,
          1.8026138794093534,
          -1.1963012868950216,
          1.2546986467018564,
          0.26297520019243426,
          0.6796982766190642,
          -1.2591560328393163,
          -2.8201929344566774,
          0.4459302452970386,
          0.7629285279694065,
          -1.8084235550318297,
          -1.315359964237099,
          2.1213041976348106,
          -1.658127072424907,
          -0.40486372248966396,
          -0.9162191147082366,
          -1.579535620326612,
          1.4843965725584436
         ],
         "xaxis": "x3",
         "y": [
          -2.16904330589025,
          0.3475378038625893,
          -0.979863148407186,
          1.2446528215228985,
          -0.1043716359557505,
          -1.401141426541061,
          -0.11002701376295976,
          1.6899267041126182,
          1.9012104289032337,
          1.4468726675455834,
          2.2218434720787874,
          -1.3435598015634538,
          -1.6657129212518609,
          -0.18856141871140558,
          1.060812861738163,
          -1.9888028427317452,
          1.2387101739842397,
          0.5746924267781698,
          -2.228380923958223,
          -2.141868053380491,
          -1.7332029553962336,
          1.7006642321079617,
          0.6970329683023891,
          -0.4288737153590226,
          -1.1397234113283687,
          -0.06963362562398537,
          2.2039480957035904,
          -1.869320391034658,
          -1.7211635858794785,
          1.2662924661718284,
          0.08212858620258784,
          -1.8796476413534922,
          2.2613330427664287,
          -1.5791513447494117,
          -1.521001910765991,
          -1.5132776028478125,
          -0.4170964736905659,
          -1.8498551068603781,
          -0.8781162045373915,
          1.276664182177821,
          0.5674232242016444,
          2.7365411443186556,
          -0.5924278516373113,
          -0.29866834909259615,
          -1.0461460138839214,
          2.7404407305117173,
          -0.658570192238938,
          -0.6320762054234034,
          -2.0922601552796687,
          -1.6409393756239676,
          0.8744659346424593,
          -1.784230307673987,
          -2.3895886564274362,
          -0.8346249100243124,
          -1.3852394096482628,
          2.1783078470797888,
          -1.9885609996880609,
          -2.1689297952761732,
          -2.410385945462777,
          -2.3183579630108175,
          0.8821649926824079,
          -1.8004949676825657,
          0.48563074842327664,
          1.368084296603281,
          -1.076930170949463,
          -0.5216036560053215,
          1.7204834559342979,
          0.9892695545124246,
          1.6874312404626362,
          2.218056248564923,
          0.11232847191140416,
          2.128118641690072,
          -1.5929899899517452,
          -0.39688530178995135,
          -1.3261513462639531,
          1.9783080587055382,
          1.658423362376177,
          2.3830768768126527,
          2.207899050557031,
          -1.6684695211278875,
          -2.3156341824882767,
          -1.5927161633249818,
          -0.9836362606323643,
          -2.265286901113978,
          0.9054814560929645,
          -1.122469472654072,
          -2.0207341291098175,
          1.1096308380192954,
          2.36033523534076,
          -1.1032161510540566,
          -0.04194125062322396,
          -2.2833930677586673,
          -1.0056254652698828,
          1.8605708743223066,
          0.792786114437663,
          -1.350693787954316,
          -2.105753603664111,
          -1.7730050759592535,
          2.1825241187952367,
          1.3851165737691682,
          -0.3717611614852513,
          -1.550665861896647,
          -0.8657010422947921,
          0.7152811900276704,
          -1.9697827069999172,
          1.8054934226963117,
          -2.515613756399137,
          -1.2832653192377417,
          0.6509585272970435,
          1.7349243986060976,
          -1.8433819818885497,
          -2.130131182105103,
          1.1884121410572037,
          -0.9855950137559277,
          2.1186293569080568,
          -0.35379856725858927,
          -0.8762163935586291,
          1.6677459127435783,
          -1.6952461737782005,
          -0.4590852670151984,
          0.12806578492599754,
          -1.1036921409316196,
          0.7698389355046773,
          2.1046921192701364,
          -0.8286615119372713,
          2.1510833140824133,
          1.6636407595129046,
          1.3745685063160695,
          1.79816435121025,
          2.2595834111710174,
          -0.9258795841028562,
          1.1505375801967226,
          -0.7578087009937673,
          2.068642534034289,
          -0.3157087146380313,
          1.949656257343563,
          -2.2871355716127155,
          1.3898007800719616,
          0.2889507336028134,
          -0.4390293840208738,
          2.3535027316182977,
          0.8735357274687727,
          0.5228718928100047,
          -0.5474808525751577,
          1.850672544252722,
          -1.0323408439360744,
          1.424689507006326,
          0.4222871226513388,
          1.2920438575519506,
          -0.658008053059925,
          -1.5518241318192807,
          -0.05936959540150255,
          -0.07925828589510384,
          -0.016888173696085418,
          0.2479928597060801,
          -0.8244333447850286,
          -1.5449598140476253,
          1.1096895643400895,
          0.8355031965767715,
          -1.8753145783049798,
          -1.6930018339231057,
          1.250648873078005,
          -2.683680343493281,
          -1.1948519461763358,
          2.2432598042632956,
          2.0883291053145396,
          -1.6639989696593838,
          2.4538176465201533,
          -1.2547348624200494,
          1.3632932057385385,
          -2.174600681312596,
          0.8440664525264151,
          1.146116876624397,
          -1.916907408744093,
          -1.7159863155101263,
          2.5991822054677476,
          -0.16298802666596113,
          1.9308773593055797,
          -0.797116710416836,
          -1.5137160839654367,
          1.2071223235984379,
          -0.6910609570393975,
          1.6073734234654387,
          1.007145277167506,
          -1.8467390608301282,
          1.9527098044099784,
          0.2263020300531856,
          0.622946361571823,
          -0.2687601219608679,
          -2.1206474521856498,
          1.8286348889961757,
          -0.2094318237319412,
          -1.8043849300946921,
          1.9391409312551091,
          1.8027833667238615,
          -1.5440887714520333,
          1.010673960389165,
          1.3755457019177006,
          0.5165600071444345,
          -1.928792523328538,
          2.319888660312667,
          2.6073534784119183,
          1.2047896925560644,
          1.8582001513434383,
          -1.949628212934355,
          -0.39088560471683054,
          -1.324600997025448,
          1.7430295595452,
          0.7254704840730736,
          -0.784593368271266,
          -0.27515323887241855,
          -0.5816627035584205,
          2.6313516206515866,
          -2.320519361683289,
          2.410095112495973,
          -1.3676813200699063,
          -1.8989215349373954,
          0.5119598742143259,
          2.4120346898901546,
          -1.2196393760335424,
          1.4834263529147513,
          -1.7586720033860324,
          0.5713328023658393,
          1.0911483868342127,
          -1.3251398582668052,
          1.706955877465254,
          2.6514442455768483,
          -2.0483103015910538,
          -1.8342651771953444,
          -0.7185148708936029,
          -2.0867424215958237,
          -1.0125307680837334,
          -1.9816571287953453,
          -1.4873792195191746,
          -2.013727921255767,
          -0.5483371963998606,
          -0.8892989616639932,
          -2.0795795378665543,
          0.8869515820791178,
          1.3377348650228187,
          -1.6202906358096318,
          2.2502742100406836,
          1.2809567976341765,
          -1.9843492098761997,
          2.0028196206058477,
          -1.5779989225956932,
          -2.4165164384633644,
          -0.9242191407242372,
          0.21766763103034736,
          -1.633522672286063,
          0.07894717336958257,
          -2.147782466367344,
          0.05524925187557722,
          -1.6659622607415332,
          0.45620284566591063,
          1.276100148112069,
          0.6727314300738939,
          -0.1883863913309789,
          -0.4417112467333083,
          1.2590988104526082,
          -1.3967796370860088,
          -0.05270963091396702,
          1.0762405107071866,
          -1.9922918448178628,
          1.8355444235507627,
          -1.7235998761669689,
          -1.0951879541519534,
          -2.045492510601244,
          2.1637063817624975,
          -1.4899745496226962,
          -2.779567764650759,
          -1.1917333103033079,
          0.4376835751572467,
          1.9089423505954124,
          1.0414746221213156,
          1.7339554730263023,
          -0.21793937075418648,
          2.1226735275935487,
          1.559804897508855,
          2.3606971027750148,
          1.4663962191777553,
          -0.5602496541579444,
          1.2183276329002186,
          0.22675721621171585,
          0.6702100485736949,
          2.1236228238949852,
          2.8614559453211887,
          2.4076800234155753,
          -2.6005922004684328,
          -0.24692708771022134,
          -1.0367945896851665,
          -2.0007515610400515,
          1.5104652262675335,
          1.9311550747187827,
          0.2585561529706566,
          1.2052171567619516,
          -2.0223461933000335,
          2.1559357899923555,
          0.35113095249010945,
          1.769167045220141
         ],
         "yaxis": "y3"
        },
        {
         "hovertemplate": "value=1<br>variable=SVM_rbf<br>x1=%{x}<br>x2=%{y}<extra></extra>",
         "legendgroup": "1",
         "marker": {
          "color": "#EF553B",
          "size": 5,
          "symbol": "circle"
         },
         "mode": "markers",
         "name": "1",
         "showlegend": false,
         "type": "scattergl",
         "x": [
          -0.039012228621638556,
          1.2161660132710235,
          1.7276528994837215,
          -0.5650523897221454,
          -2.249362917154692,
          1.6413171507303252,
          -1.3770189311371306,
          -0.296093420990276,
          0.15073577634709934,
          0.6781951359852729,
          0.10243448324884358,
          -0.5115861500565647,
          0.06740714015227128,
          1.8977088390818109,
          0.9666170125365425,
          0.9576444918066123,
          0.6738957004083234,
          1.4813809036042875,
          1.6705879464651077,
          0.8443832468605038,
          -1.4891123235933217,
          1.6780356897303315,
          1.0143841881282976,
          -1.5266005698192522,
          1.4790177769847683,
          -2.111173856824941,
          -2.45719976236168,
          0.6700436133746195,
          -1.1451201404695697,
          1.7018677049581763,
          -2.786817401529107,
          -2.37191472682986,
          0.2498524215715209,
          -0.7206813814261095,
          -0.4749576610112778,
          -0.9812484347082041,
          -0.19729058252265713,
          1.3135229568822748,
          1.0604086412359106,
          1.2575443130102761,
          -0.1515361457231683,
          -2.3178243620607764,
          0.24865644387017843,
          -1.3957221050685071,
          1.2120229946402894,
          0.5967669286965589,
          0.8873912687847187,
          1.4866702814982073,
          1.4706665288918563,
          -1.3002353333706733,
          -0.27371574869431936,
          1.5951879603038799,
          1.3317876156630506,
          -1.3100898996505488,
          -1.8643684806697078,
          0.4183717235955538,
          0.9852872747373254,
          -0.6697559738844827,
          -0.30419818374529395,
          -1.8305842471623377,
          2.0261522749946512,
          -1.317738986123144,
          -1.3099189634734247,
          1.3551558555785017,
          -1.736022840719857,
          0.6600606791709478,
          1.1885327973824689,
          0.0009613026386510182,
          -2.0384795366261144,
          1.2699455362334993,
          -0.9352823556092318,
          -1.6720861666505369,
          -1.1963970233678258,
          1.1634498977557974,
          2.138369327897423,
          1.391197643504184,
          0.684930946001159,
          -0.5072953507724862,
          -0.7629961471951947,
          -0.2194971556915996,
          0.3193220022808527,
          0.24245008036108884,
          1.6306169847633485,
          -1.8239243484005896,
          0.9409659294156225,
          1.7713350796680922,
          -2.0467138634718665,
          -0.9171516962874895,
          -1.0342599593275121,
          0.7868601090977789,
          -1.0902450771699181,
          2.0482994359864026,
          0.2750750045994035,
          -1.583534576810572,
          -0.5816875454510945,
          -2.4832340130524155,
          2.2628376534196195,
          -1.2424967956095263,
          1.5122826106916527,
          0.9674255636284128,
          2.532963332194703,
          1.6419226620070706,
          -1.3323249655104556,
          1.7739244007503854,
          -1.794577546171197,
          1.2623668282695362,
          -1.7239584184775925,
          0.10850680908216809,
          -0.434879492685904,
          -0.06997302915531048,
          1.785717422729617,
          -0.967825665622436,
          -1.8034936557791315,
          1.4871761023443666,
          1.6649810982721225,
          -1.0600173289866262,
          -2.317981941417777,
          -1.5137434125472686,
          -1.769422004330432,
          1.052030188896767,
          -0.6170532121451161,
          2.4811104303063543,
          -2.163347034213621,
          -2.238411177748033,
          -2.5409546279037807,
          -0.9638549634949845,
          -1.5731894425342854,
          -0.17416518477141366,
          1.604923525748615,
          -0.16679992317618816,
          -1.378616092471509,
          -0.40761866274880176,
          1.5267123065328787,
          -1.594546628840702,
          -1.832083340228563,
          1.413201091813646,
          -2.5697706752567586,
          -1.0699098418642783,
          0.9264928523527237,
          -0.16181946814755863,
          -2.020695630701857,
          -2.6567747300475455,
          -2.0604272065033875,
          -2.447455840720609,
          1.7741945251476439,
          -1.633555526422096,
          0.07786995803184699,
          -2.112846691061212,
          -0.8619865646410078,
          2.2801966213107394,
          -1.6950348859628832,
          -2.1401011609434257,
          -2.5947364989486754,
          1.6809109011293846,
          2.9485870555849933,
          -1.595142116356145,
          2.6890839527222,
          -2.5138780239932403,
          -1.5335040190367428,
          -1.4764863506984505,
          -1.6688321334027423,
          2.2505273393595964,
          -0.5746892643367882,
          -2.087700491629842,
          0.5269590806328275,
          -1.3055402526103397,
          0.3756614251905466,
          -0.03635484721351495,
          2.586559428557186,
          -1.0272977082323689,
          1.5416463961032032,
          0.983449556375763,
          -0.7296048904319005,
          -1.7426886364240939,
          1.2319277850955994,
          -0.6288274525736688,
          -1.7481173978358417,
          -0.08216198786968884,
          1.8465522766374558,
          0.3933236559204593,
          -1.3856036919954056,
          -2.820148602061482,
          -2.212293219041369,
          -1.9040290848479127,
          -0.6409220200796886,
          1.5943148728746532,
          0.49326940205983805,
          -0.23945561774099522,
          1.9097291960583431,
          -1.8025648992773886,
          -2.009306269738481,
          -0.443012283655355,
          -0.994202047084523,
          -2.4470531620485514,
          0.02697710258525965,
          -0.4895084369136866,
          1.1329559116113566,
          1.2308961785554993,
          1.632654912113028,
          1.7490773959226944,
          1.3010720302148076,
          0.4306819576811415,
          0.8439748706730466,
          1.394094468508074,
          1.4935143316335835,
          -1.9213966136240543,
          -1.7106022418347404,
          -1.3700304739784497,
          -1.2454008553438325,
          1.218823322938861,
          1.9815961730492684,
          3.228176388127757,
          1.5359929797182093,
          1.8845133512493086,
          -0.5557330818175675,
          1.7632582380803679,
          0.0007733801339351865,
          -1.7668228761266869,
          1.9320317117879384,
          1.2136588990207353,
          -0.920409508081902,
          -0.8904218019676812,
          -0.3032294146780732,
          -0.6723889870614824,
          1.3775557279028352,
          1.0022759643525458,
          -0.5839378209383043,
          0.5282045883276957,
          0.029861177464618416,
          -1.1387516485658002,
          0.9234337922504167,
          -1.78110701315727,
          -0.6633358519884783,
          2.0280977882083,
          -0.3398696526708901,
          0.6396932989618966,
          1.212857367517696,
          1.8444648600403517,
          -1.8037162173375871,
          0.8369217951544439,
          -1.2904882585220878,
          1.8080254709179095,
          0.1454159574937285,
          -0.98848616309659,
          0.00019727273391001443,
          -0.5759351897260311,
          0.6408562580688969,
          -1.1693742005549763,
          -0.9196552187214048,
          -0.19425150241522116,
          1.2667482065171338,
          -2.5434891048823633,
          -0.5511304338007317,
          0.9500261955151671,
          1.5317691143632406,
          0.9834306458471885,
          2.19456573507106,
          0.2592135053754172,
          -1.9953804407674363,
          -2.0274115716939747,
          2.769699134651015,
          2.57343757736877,
          1.9238110975335907,
          -1.7360994850221456,
          0.9430028228643197,
          2.470494864974878,
          -0.7043959092679235,
          -0.04681072388784696,
          0.22039795085590752,
          0.41810351002712987,
          1.4949106795039395,
          0.4821487543704097,
          -0.9825591841939711,
          -1.3475768517591231,
          1.9080804080384226,
          -1.0379958569532548,
          -1.9537887798680154,
          -1.2800741060989056,
          2.131856776763106,
          1.237946384759997,
          -2.1452515746998535,
          0.8068873026933328,
          -1.4054538629438837,
          -0.46816098511190196,
          -0.24865332979929045,
          -1.4139230691504139,
          1.1722520728860193,
          1.8026138794093534,
          -1.1963012868950216,
          1.2546986467018564,
          0.26297520019243426,
          0.6796982766190642,
          -1.2591560328393163,
          -2.8201929344566774,
          0.7629285279694065,
          -1.8084235550318297,
          -1.315359964237099,
          2.1213041976348106,
          -1.658127072424907,
          -0.40486372248966396,
          -0.9162191147082366,
          -1.579535620326612,
          1.4843965725584436
         ],
         "xaxis": "x4",
         "y": [
          -2.16904330589025,
          0.3475378038625893,
          -0.979863148407186,
          1.2446528215228985,
          -0.1043716359557505,
          -1.401141426541061,
          -0.11002701376295976,
          1.6899267041126182,
          1.9012104289032337,
          1.4468726675455834,
          2.2218434720787874,
          -1.3435598015634538,
          -1.6657129212518609,
          -0.18856141871140558,
          -0.8636988703414736,
          1.060812861738163,
          -1.9888028427317452,
          1.2387101739842397,
          0.5746924267781698,
          -2.228380923958223,
          -2.141868053380491,
          -1.7332029553962336,
          1.7006642321079617,
          0.6970329683023891,
          -0.4288737153590226,
          -1.1397234113283687,
          -0.06963362562398537,
          2.2039480957035904,
          -1.869320391034658,
          -1.7211635858794785,
          1.2662924661718284,
          0.08212858620258784,
          -1.8796476413534922,
          2.2613330427664287,
          -1.5791513447494117,
          -1.521001910765991,
          -1.5132776028478125,
          -0.4170964736905659,
          -1.8498551068603781,
          -0.8781162045373915,
          1.276664182177821,
          0.5674232242016444,
          2.7365411443186556,
          -0.5924278516373113,
          -0.29866834909259615,
          -1.0461460138839214,
          2.7404407305117173,
          -0.658570192238938,
          -0.6320762054234034,
          -2.0922601552796687,
          -1.6409393756239676,
          0.8744659346424593,
          -1.784230307673987,
          -2.3895886564274362,
          -0.8346249100243124,
          -1.3852394096482628,
          2.1783078470797888,
          -1.9885609996880609,
          -2.1689297952761732,
          -2.410385945462777,
          -2.3183579630108175,
          0.8821649926824079,
          -1.8004949676825657,
          0.48563074842327664,
          1.368084296603281,
          -1.076930170949463,
          -0.5216036560053215,
          1.7204834559342979,
          0.9892695545124246,
          1.6874312404626362,
          2.218056248564923,
          0.11232847191140416,
          2.128118641690072,
          -1.5929899899517452,
          -0.39688530178995135,
          -1.3261513462639531,
          1.9783080587055382,
          1.658423362376177,
          2.3830768768126527,
          2.207899050557031,
          -1.6684695211278875,
          -2.3156341824882767,
          -1.5927161633249818,
          -0.9836362606323643,
          -2.265286901113978,
          0.9054814560929645,
          -1.122469472654072,
          -2.0207341291098175,
          1.1096308380192954,
          2.36033523534076,
          -1.1032161510540566,
          -0.04194125062322396,
          -2.2833930677586673,
          -1.0056254652698828,
          1.8605708743223066,
          0.792786114437663,
          -1.350693787954316,
          -0.3379422132356826,
          -2.105753603664111,
          -1.7730050759592535,
          2.1825241187952367,
          1.3851165737691682,
          -0.3717611614852513,
          -1.550665861896647,
          -0.8657010422947921,
          0.7152811900276704,
          -1.9697827069999172,
          1.8054934226963117,
          -2.515613756399137,
          -1.2832653192377417,
          0.6509585272970435,
          1.7349243986060976,
          -1.8433819818885497,
          -2.130131182105103,
          1.1884121410572037,
          -0.9855950137559277,
          2.1186293569080568,
          -0.35379856725858927,
          -0.8762163935586291,
          1.6677459127435783,
          -1.6952461737782005,
          -0.4590852670151984,
          0.12806578492599754,
          -1.1036921409316196,
          0.7698389355046773,
          2.1046921192701364,
          -0.8286615119372713,
          2.1510833140824133,
          1.6636407595129046,
          1.3745685063160695,
          1.79816435121025,
          2.2595834111710174,
          -0.9258795841028562,
          1.1505375801967226,
          -0.7578087009937673,
          2.068642534034289,
          -0.3157087146380313,
          1.949656257343563,
          -2.2871355716127155,
          1.3898007800719616,
          0.2889507336028134,
          -0.4390293840208738,
          2.3535027316182977,
          0.8735357274687727,
          0.5228718928100047,
          -0.5474808525751577,
          1.850672544252722,
          -1.0323408439360744,
          1.424689507006326,
          0.4222871226513388,
          1.2920438575519506,
          -0.658008053059925,
          -1.5518241318192807,
          -0.05936959540150255,
          -0.07925828589510384,
          -0.016888173696085418,
          0.2479928597060801,
          -0.8244333447850286,
          -1.5449598140476253,
          1.1096895643400895,
          0.8355031965767715,
          -1.8753145783049798,
          -1.6930018339231057,
          1.250648873078005,
          -2.683680343493281,
          -1.1948519461763358,
          2.2432598042632956,
          2.0883291053145396,
          -1.6639989696593838,
          2.4538176465201533,
          -1.2547348624200494,
          1.3632932057385385,
          -2.174600681312596,
          0.8440664525264151,
          1.146116876624397,
          -1.916907408744093,
          -1.7159863155101263,
          2.5991822054677476,
          -0.16298802666596113,
          1.9308773593055797,
          -0.797116710416836,
          -1.5137160839654367,
          1.2071223235984379,
          -0.6910609570393975,
          1.6073734234654387,
          1.007145277167506,
          -1.8467390608301282,
          1.9527098044099784,
          0.2263020300531856,
          0.622946361571823,
          -0.2687601219608679,
          -2.1206474521856498,
          1.8286348889961757,
          -0.2094318237319412,
          -1.8043849300946921,
          1.9391409312551091,
          1.8027833667238615,
          -1.5440887714520333,
          1.010673960389165,
          1.3755457019177006,
          0.5165600071444345,
          -1.928792523328538,
          2.319888660312667,
          2.6073534784119183,
          1.2047896925560644,
          1.8582001513434383,
          -1.949628212934355,
          -0.39088560471683054,
          -1.324600997025448,
          1.7430295595452,
          0.7254704840730736,
          -0.784593368271266,
          -0.27515323887241855,
          -0.5816627035584205,
          2.6313516206515866,
          -2.320519361683289,
          2.410095112495973,
          -1.3676813200699063,
          -1.8989215349373954,
          0.5119598742143259,
          2.4120346898901546,
          -1.2196393760335424,
          1.4834263529147513,
          -1.7586720033860324,
          0.5713328023658393,
          1.0911483868342127,
          -1.3251398582668052,
          1.706955877465254,
          2.6514442455768483,
          -2.0483103015910538,
          -1.8342651771953444,
          -0.7185148708936029,
          -2.0867424215958237,
          -1.0125307680837334,
          -1.9816571287953453,
          -1.4873792195191746,
          -2.013727921255767,
          -0.5483371963998606,
          -0.8892989616639932,
          -2.0795795378665543,
          -0.5989156877113765,
          0.8869515820791178,
          1.3377348650228187,
          -1.6202906358096318,
          2.2502742100406836,
          1.2809567976341765,
          -1.9843492098761997,
          2.0028196206058477,
          -1.5779989225956932,
          -2.4165164384633644,
          -0.9242191407242372,
          0.21766763103034736,
          1.1773511637888658,
          -1.633522672286063,
          0.07894717336958257,
          -2.147782466367344,
          0.05524925187557722,
          -1.6659622607415332,
          0.45620284566591063,
          1.276100148112069,
          0.6727314300738939,
          -0.1883863913309789,
          -0.4417112467333083,
          1.2590988104526082,
          -1.3967796370860088,
          -0.05270963091396702,
          1.0762405107071866,
          -1.9922918448178628,
          1.8355444235507627,
          -1.7235998761669689,
          -1.0951879541519534,
          -2.045492510601244,
          2.1637063817624975,
          -1.4899745496226962,
          -2.779567764650759,
          -1.1917333103033079,
          0.4376835751572467,
          1.9089423505954124,
          1.0414746221213156,
          1.7339554730263023,
          -0.21793937075418648,
          2.1226735275935487,
          1.559804897508855,
          2.3606971027750148,
          1.4663962191777553,
          -0.5602496541579444,
          1.2183276329002186,
          0.22675721621171585,
          0.6702100485736949,
          2.1236228238949852,
          2.8614559453211887,
          2.4076800234155753,
          -2.6005922004684328,
          -0.24692708771022134,
          -2.0007515610400515,
          1.5104652262675335,
          1.9311550747187827,
          0.2585561529706566,
          1.2052171567619516,
          -2.0223461933000335,
          2.1559357899923555,
          0.35113095249010945,
          1.769167045220141
         ],
         "yaxis": "y4"
        }
       ],
       "layout": {
        "annotations": [
         {
          "font": {},
          "showarrow": false,
          "text": "variable=label",
          "x": 0.1175,
          "xanchor": "center",
          "xref": "paper",
          "y": 1,
          "yanchor": "bottom",
          "yref": "paper"
         },
         {
          "font": {},
          "showarrow": false,
          "text": "variable=DecisionTree",
          "x": 0.3725,
          "xanchor": "center",
          "xref": "paper",
          "y": 1,
          "yanchor": "bottom",
          "yref": "paper"
         },
         {
          "font": {},
          "showarrow": false,
          "text": "variable=XGBoost",
          "x": 0.6275,
          "xanchor": "center",
          "xref": "paper",
          "y": 1,
          "yanchor": "bottom",
          "yref": "paper"
         },
         {
          "font": {},
          "showarrow": false,
          "text": "variable=SVM_rbf",
          "x": 0.8824999999999998,
          "xanchor": "center",
          "xref": "paper",
          "y": 1,
          "yanchor": "bottom",
          "yref": "paper"
         }
        ],
        "legend": {
         "title": {
          "text": "value"
         },
         "tracegroupgap": 0
        },
        "margin": {
         "t": 60
        },
        "template": {
         "data": {
          "bar": [
           {
            "error_x": {
             "color": "#2a3f5f"
            },
            "error_y": {
             "color": "#2a3f5f"
            },
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "bar"
           }
          ],
          "barpolar": [
           {
            "marker": {
             "line": {
              "color": "#E5ECF6",
              "width": 0.5
             },
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "barpolar"
           }
          ],
          "carpet": [
           {
            "aaxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "baxis": {
             "endlinecolor": "#2a3f5f",
             "gridcolor": "white",
             "linecolor": "white",
             "minorgridcolor": "white",
             "startlinecolor": "#2a3f5f"
            },
            "type": "carpet"
           }
          ],
          "choropleth": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "choropleth"
           }
          ],
          "contour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "contour"
           }
          ],
          "contourcarpet": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "contourcarpet"
           }
          ],
          "heatmap": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmap"
           }
          ],
          "heatmapgl": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "heatmapgl"
           }
          ],
          "histogram": [
           {
            "marker": {
             "pattern": {
              "fillmode": "overlay",
              "size": 10,
              "solidity": 0.2
             }
            },
            "type": "histogram"
           }
          ],
          "histogram2d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2d"
           }
          ],
          "histogram2dcontour": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "histogram2dcontour"
           }
          ],
          "mesh3d": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "type": "mesh3d"
           }
          ],
          "parcoords": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "parcoords"
           }
          ],
          "pie": [
           {
            "automargin": true,
            "type": "pie"
           }
          ],
          "scatter": [
           {
            "fillpattern": {
             "fillmode": "overlay",
             "size": 10,
             "solidity": 0.2
            },
            "type": "scatter"
           }
          ],
          "scatter3d": [
           {
            "line": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatter3d"
           }
          ],
          "scattercarpet": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattercarpet"
           }
          ],
          "scattergeo": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergeo"
           }
          ],
          "scattergl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattergl"
           }
          ],
          "scattermapbox": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scattermapbox"
           }
          ],
          "scatterpolar": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolar"
           }
          ],
          "scatterpolargl": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterpolargl"
           }
          ],
          "scatterternary": [
           {
            "marker": {
             "colorbar": {
              "outlinewidth": 0,
              "ticks": ""
             }
            },
            "type": "scatterternary"
           }
          ],
          "surface": [
           {
            "colorbar": {
             "outlinewidth": 0,
             "ticks": ""
            },
            "colorscale": [
             [
              0,
              "#0d0887"
             ],
             [
              0.1111111111111111,
              "#46039f"
             ],
             [
              0.2222222222222222,
              "#7201a8"
             ],
             [
              0.3333333333333333,
              "#9c179e"
             ],
             [
              0.4444444444444444,
              "#bd3786"
             ],
             [
              0.5555555555555556,
              "#d8576b"
             ],
             [
              0.6666666666666666,
              "#ed7953"
             ],
             [
              0.7777777777777778,
              "#fb9f3a"
             ],
             [
              0.8888888888888888,
              "#fdca26"
             ],
             [
              1,
              "#f0f921"
             ]
            ],
            "type": "surface"
           }
          ],
          "table": [
           {
            "cells": {
             "fill": {
              "color": "#EBF0F8"
             },
             "line": {
              "color": "white"
             }
            },
            "header": {
             "fill": {
              "color": "#C8D4E3"
             },
             "line": {
              "color": "white"
             }
            },
            "type": "table"
           }
          ]
         },
         "layout": {
          "annotationdefaults": {
           "arrowcolor": "#2a3f5f",
           "arrowhead": 0,
           "arrowwidth": 1
          },
          "autotypenumbers": "strict",
          "coloraxis": {
           "colorbar": {
            "outlinewidth": 0,
            "ticks": ""
           }
          },
          "colorscale": {
           "diverging": [
            [
             0,
             "#8e0152"
            ],
            [
             0.1,
             "#c51b7d"
            ],
            [
             0.2,
             "#de77ae"
            ],
            [
             0.3,
             "#f1b6da"
            ],
            [
             0.4,
             "#fde0ef"
            ],
            [
             0.5,
             "#f7f7f7"
            ],
            [
             0.6,
             "#e6f5d0"
            ],
            [
             0.7,
             "#b8e186"
            ],
            [
             0.8,
             "#7fbc41"
            ],
            [
             0.9,
             "#4d9221"
            ],
            [
             1,
             "#276419"
            ]
           ],
           "sequential": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ],
           "sequentialminus": [
            [
             0,
             "#0d0887"
            ],
            [
             0.1111111111111111,
             "#46039f"
            ],
            [
             0.2222222222222222,
             "#7201a8"
            ],
            [
             0.3333333333333333,
             "#9c179e"
            ],
            [
             0.4444444444444444,
             "#bd3786"
            ],
            [
             0.5555555555555556,
             "#d8576b"
            ],
            [
             0.6666666666666666,
             "#ed7953"
            ],
            [
             0.7777777777777778,
             "#fb9f3a"
            ],
            [
             0.8888888888888888,
             "#fdca26"
            ],
            [
             1,
             "#f0f921"
            ]
           ]
          },
          "colorway": [
           "#636efa",
           "#EF553B",
           "#00cc96",
           "#ab63fa",
           "#FFA15A",
           "#19d3f3",
           "#FF6692",
           "#B6E880",
           "#FF97FF",
           "#FECB52"
          ],
          "font": {
           "color": "#2a3f5f"
          },
          "geo": {
           "bgcolor": "white",
           "lakecolor": "white",
           "landcolor": "#E5ECF6",
           "showlakes": true,
           "showland": true,
           "subunitcolor": "white"
          },
          "hoverlabel": {
           "align": "left"
          },
          "hovermode": "closest",
          "mapbox": {
           "style": "light"
          },
          "paper_bgcolor": "white",
          "plot_bgcolor": "#E5ECF6",
          "polar": {
           "angularaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "radialaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "yaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           },
           "zaxis": {
            "backgroundcolor": "#E5ECF6",
            "gridcolor": "white",
            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
           }
          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
           }
          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        },
        "xaxis": {
         "anchor": "y",
         "domain": [
          0,
          0.235
         ],
         "title": {
          "text": "x1"
         }
        },
        "xaxis2": {
         "anchor": "y2",
         "domain": [
          0.255,
          0.49
         ],
         "matches": "x",
         "title": {
          "text": "x1"
         }
        },
        "xaxis3": {
         "anchor": "y3",
         "domain": [
          0.51,
          0.745
         ],
         "matches": "x",
         "title": {
          "text": "x1"
         }
        },
        "xaxis4": {
         "anchor": "y4",
         "domain": [
          0.7649999999999999,
          0.9999999999999999
         ],
         "matches": "x",
         "title": {
          "text": "x1"
         }
        },
        "yaxis": {
         "anchor": "x",
         "domain": [
          0,
          1
         ],
         "scaleanchor": "x",
         "scaleratio": 1,
         "title": {
          "text": "x2"
         }
        },
        "yaxis2": {
         "anchor": "x2",
         "domain": [
          0,
          1
         ],
         "matches": "y",
         "scaleanchor": "x",
         "scaleratio": 1,
         "showticklabels": false
        },
        "yaxis3": {
         "anchor": "x3",
         "domain": [
          0,
          1
         ],
         "matches": "y",
         "scaleanchor": "x",
         "scaleratio": 1,
         "showticklabels": false
        },
        "yaxis4": {
         "anchor": "x4",
         "domain": [
          0,
          1
         ],
         "matches": "y",
         "scaleanchor": "x",
         "scaleratio": 1,
         "showticklabels": false
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = px.scatter(\n",
    "    Xy_test.melt(id_vars=['x1','x2'],value_vars=['label','DecisionTree','XGBoost','SVM_rbf']),\n",
    "    x='x1',\n",
    "    y='x2',\n",
    "    facet_col='variable',\n",
    "    color='value'\n",
    ")\n",
    "fig.update_traces(\n",
    "    marker={'size':5}\n",
    ")\n",
    "fig.update_yaxes(\n",
    "    scaleanchor='x',\n",
    "    scaleratio=1\n",
    ")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "env3.10",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "5ec3c21330053bd888ae0423f793f928621505090c66dc4d3b71e8bb37792d66"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}