Regression.ipynb

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   "source": [
    "import statsmodels as sm\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
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   "source": [
    "from statsmodels.compat import lzip\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import statsmodels.formula.api as smf\n",
    "import statsmodels.stats.api as sms\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Load data\n",
    "url = 'https://raw.githubusercontent.com/vincentarelbundock/Rdatasets/master/csv/HistData/Guerry.csv'\n",
    "dat = pd.read_csv(url)\n",
    "\n",
    "# Fit regression model (using the natural log of one of the regressors)\n",
    "results = smf.ols('Lottery ~ Literacy + np.log(Pop1831)', data=dat).fit()\n",
    "\n",
    "# Inspect the results\n",
    "#print(results.summary())"
   ]
  },
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   "source": [
    "import numpy as np\n",
    "import cufflinks as cf\n",
    "from plotly.offline import download_plotlyjs, init_notebook_mode, iplot\n",
    "init_notebook_mode(connected=True)\n",
    "cf.go_offline()"
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   "source": [
    "df = dat[['Crime_prop','Suicides']]\n",
    "df.sort_values(by='Crime_prop').set_index('Crime_prop').iplot(title='Suicides vs Crime Prop', bestfit=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Regression tree by hand"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:14:11.762880Z",
     "start_time": "2019-08-01T10:14:11.753331Z"
    }
   },
   "outputs": [],
   "source": [
    "df = df.sort_values(by='Crime_prop')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:14:13.229280Z",
     "start_time": "2019-08-01T10:14:13.224007Z"
    }
   },
   "outputs": [],
   "source": [
    "y = df['Suicides'].values\n",
    "x = df['Crime_prop'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:17:55.012881Z",
     "start_time": "2019-08-01T10:17:55.008214Z"
    }
   },
   "outputs": [],
   "source": [
    "def mean_prediction(y):\n",
    "    return y.mean()*np.ones_like(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:14:14.534619Z",
     "start_time": "2019-08-01T10:14:14.530687Z"
    }
   },
   "outputs": [],
   "source": [
    "def mse(y_pred, y):\n",
    "    return np.square(y_pred - y).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:17:58.421970Z",
     "start_time": "2019-08-01T10:17:58.413941Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "969073832.2855598"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "mse(mean_prediction(y), y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Loss function for regression tree:\n",
    "<font size='4.5'>\n",
    "<center>\n",
    "$loss = \\frac{m_{\\text{left}}}{m}\\text{MSE}_{\\text{left}}+\\frac{m_{\\text{right}}}{m}\\text{MSE}_{\\text{right}}$\n",
    "</center>\n",
    "</font>"
   ]
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  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:17:15.594838Z",
     "start_time": "2019-08-01T10:17:15.588521Z"
    }
   },
   "outputs": [],
   "source": [
    "def weighted_mse(y_pred, y, total):\n",
    "    return y_pred.shape[0]/total*mse(y_pred,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:25:12.686249Z",
     "start_time": "2019-08-01T10:25:12.678953Z"
    }
   },
   "outputs": [],
   "source": [
    "def get_split_list(x,y):\n",
    "    return [(x, weighted_mse(mean_prediction(y[i:]),y[i:],y.shape[0])+weighted_mse(mean_prediction(y[:i]),y[:i],y.shape[0])) for i, x in enumerate(x) if i!=0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:43:17.764693Z",
     "start_time": "2019-08-01T10:43:17.758012Z"
    }
   },
   "outputs": [],
   "source": [
    "def get_best_split(split_list):\n",
    "    return list(zip(*split_list))[0][list(zip(*split_list))[1].index(min(list(zip(*split_list))[1]))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:43:43.960403Z",
     "start_time": "2019-08-01T10:43:43.908859Z"
    }
   },
   "outputs": [],
   "source": [
    "y_right = y[list(x).index(get_best_split(get_split_list(x,y))):]\n",
    "y_left = y[:list(x).index(get_best_split(get_split_list(x,y)))]\n",
    "x_right = x[list(x).index(get_best_split(get_split_list(x,y))):]\n",
    "x_left = x[:list(x).index(get_best_split(get_split_list(x,y)))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:43:50.632604Z",
     "start_time": "2019-08-01T10:43:50.450656Z"
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   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = plt.figure(figsize=(12,6))\n",
    "_ = plt.plot(x, y)\n",
    "#_ = plt.plot(x, mean_prediction(y))\n",
    "_ = plt.plot(x_right, mean_prediction(y_right))\n",
    "_ = plt.plot(x_left, mean_prediction(y_left))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:44:57.905063Z",
     "start_time": "2019-08-01T10:44:57.841357Z"
    }
   },
   "outputs": [],
   "source": [
    "y_right_right = y_right[list(x_right).index(get_best_split(get_split_list(x_right,y_right))):]\n",
    "y_right_left = y_right[:list(x_right).index(get_best_split(get_split_list(x_right,y_right)))]\n",
    "y_left_right = y_left[list(x_left).index(get_best_split(get_split_list(x_left,y_left))):]\n",
    "y_left_left = y_left[:list(x_left).index(get_best_split(get_split_list(x_left,y_left)))]\n",
    "x_right_right = x_right[list(x_right).index(get_best_split(get_split_list(x_right,y_right))):]\n",
    "x_right_left = x_right[:list(x_right).index(get_best_split(get_split_list(x_right,y_right)))]\n",
    "x_left_right = x_left[list(x_left).index(get_best_split(get_split_list(x_left,y_left))):]\n",
    "x_left_left = x_left[:list(x_left).index(get_best_split(get_split_list(x_left,y_left)))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:45:45.190374Z",
     "start_time": "2019-08-01T10:45:44.978082Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = plt.figure(figsize=(12,6))\n",
    "_ = plt.plot(x, y)\n",
    "#_ = plt.plot(x, mean_prediction(y))\n",
    "_ = plt.plot(x_right_right, mean_prediction(y_right_right))\n",
    "_ = plt.plot(x_right_left, mean_prediction(y_right_left))\n",
    "_ = plt.plot(x_left_right, mean_prediction(y_left_right))\n",
    "_ = plt.plot(x_left_left, mean_prediction(y_left_left))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:49:44.947087Z",
     "start_time": "2019-08-01T10:49:44.940820Z"
    }
   },
   "outputs": [],
   "source": [
    "y_tree = np.concatenate((mean_prediction(y_left_left),mean_prediction(y_left_right),mean_prediction(y_right_left),mean_prediction(y_right_right)))\n",
    "df['tree'] = y_tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-01T10:50:37.970761Z",
     "start_time": "2019-08-01T10:50:37.710035Z"
    }
   },
   "outputs": [
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   "source": [
    "df.set_index('Crime_prop').iplot(title='Tree', bestfit=True)"
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    "Classification trees work the same way, but instead of MSE, they use other cost functions, such entropy or gini index."
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