credit_card_approval.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "247af9ba-4924-4b47-a638-6fe4593f1897",
   "metadata": {},
   "source": [
    "\n",
    "# ML model to support approve/deny decision for credit card loan\n",
    "\n",
    "#### sensitive variable: gender (other examples are race, and ethnicity)\n",
    "#### fairness metrics: demographic parity, equal opportunity, and equal accuracy \n",
    "\n",
    "References:\n",
    "- https://www.kaggle.com/code/alexisbcook/exercise-ai-fairness\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cdb120ae",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "564a22b0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "506a0168",
   "metadata": {},
   "source": [
    "# import"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "52eea240",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import mlflow\n",
    "import logging\n",
    "import joblib, datetime, os, time, yaml\n",
    "from os import environ as env\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import confusion_matrix, ConfusionMatrixDisplay\n",
    "from sklearn.metrics import accuracy_score, precision_score, recall_score, f1_score\n",
    "from sklearn.tree import DecisionTreeClassifier, plot_tree\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "import matplotlib.pyplot as plt\n",
    "import json"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a859789",
   "metadata": {},
   "source": [
    "# configure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b66cd769",
   "metadata": {},
   "outputs": [],
   "source": [
    "# harness\n",
    "'''\n",
    "Harness CI Runner can automatically change values for some variable\n",
    "For example is_local_development to False and tree_method to hist\n",
    "'''\n",
    "is_local_development = True \n",
    "notebook_dir = 'notebooks'\n",
    "config_file_path = 'config.yml'\n",
    "model_name = 'dt'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c25637c4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/Users/shobhitverma/python/example-mlops/example-mlops\n"
     ]
    }
   ],
   "source": [
    "# set working dir\n",
    "original_cwd = os.getcwd()\n",
    "\n",
    "if not is_local_development:\n",
    "    \n",
    "    os.chdir(notebook_dir)\n",
    "    os.getcwd()\n",
    "    \n",
    "print(os.getcwd())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "aee18deb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set logging\n",
    "logging.basicConfig(level=logging.INFO, format=\"%(asctime)-15s %(message)s\")\n",
    "logger = logging.getLogger()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9c3c691a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# set parameters\n",
    "with open(config_file_path, \"r\") as file:\n",
    "    config = yaml.safe_load(file)\n",
    "\n",
    "# set model related parameters\n",
    "data_file_path = config['data']['load_file_path']\n",
    "selected_model_file_path = config['model']['save_file_path']\n",
    "selected_model_metrics_file_path = config['model']['save_metrics_file_path']\n",
    "\n",
    "# set MLFlow related parameters\n",
    "experiment_name = config[\"mlflow\"][\"experiment_name\"]\n",
    "run_name = config[\"mlflow\"][\"run_name\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a7eac74",
   "metadata": {},
   "source": [
    "# experiment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "84bfce87",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Data successfully loaded!\n",
      "\n"
     ]
    },
    {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Num_Children</th>\n",
       "      <th>Group</th>\n",
       "      <th>Income</th>\n",
       "      <th>Own_Car</th>\n",
       "      <th>Own_Housing</th>\n",
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       "        Num_Children  Group  Income  Own_Car  Own_Housing\n",
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     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load data\n",
    "\n",
    "data = pd.read_csv(data_file_path)\n",
    "X = data.drop([\"Target\"], axis=1)\n",
    "y = data[\"Target\"]\n",
    "\n",
    "# train-test split\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, train_size=0.8, test_size=0.2, random_state=0)\n",
    "\n",
    "print(\"Data successfully loaded!\\n\")\n",
    "X_train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "15aca5a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from sklearn.metrics import confusion_matrix, ConfusionMatrixDisplay, precision_score, recall_score, f1_score, accuracy_score\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# Confusion matrix with saving plot functionality\n",
    "def get_confusion_matrix(estimator, X, y_true, y_pred, display_labels=[\"Deny\", \"Approve\"],\n",
    "                         include_values=True, xticks_rotation='horizontal', values_format='',\n",
    "                         normalize=None, cmap=plt.cm.Blues, file_prefix=''):\n",
    "    matrix = confusion_matrix(y_true, y_pred, normalize=normalize)\n",
    "    disp = ConfusionMatrixDisplay(confusion_matrix=matrix, display_labels=display_labels)\n",
    "    disp.plot(include_values=include_values, cmap=cmap, xticks_rotation=xticks_rotation, values_format=values_format)\n",
    "    plt.savefig(f\"{file_prefix}confusion_matrix.jpg\",  bbox_inches='tight')  # Save plot as JPEG file\n",
    "    return matrix, disp\n",
    "\n",
    "# Fairness stats with saving plot functionality\n",
    "def get_fairness_stats(X, y, model, group_one, preds):\n",
    "    fairness_stats = {}\n",
    "        \n",
    "    y_zero, preds_zero, X_zero = y[group_one==False], preds[group_one==False], X[group_one==False]\n",
    "    y_one, preds_one, X_one = y[group_one], preds[group_one], X[group_one]\n",
    "    \n",
    "    # Overall confusion matrix\n",
    "    cm, disp = get_confusion_matrix(model, X, y, preds, file_prefix='overall_')\n",
    "    disp.ax_.set_title(\"Overall\")\n",
    "    \n",
    "    # Group 0 confusion matrix\n",
    "    cm_zero, disp_zero = get_confusion_matrix(model, X_zero, y_zero, preds_zero, file_prefix='group_0_')\n",
    "    disp_zero.ax_.set_title(\"Group 0\")\n",
    "    \n",
    "    # Group 1 confusion matrix\n",
    "    cm_one, disp_one = get_confusion_matrix(model, X_one, y_one, preds_one, file_prefix='group_1_')\n",
    "    disp_one.ax_.set_title(\"Group 1\")\n",
    "    \n",
    "    fairness_stats['demographic_parity'] = {'total_number_of_approvals': preds.sum(), \n",
    "                                            'group_0_%': round(preds_zero.sum()/sum(preds)*100, 2),\n",
    "                                            'group_1_%': round(preds_one.sum()/sum(preds)*100, 2)}         \n",
    "    fairness_stats['equal_opportunity'] = {'true_positive_rate': round(cm[1,1] / cm[1].sum()*100, 2),\n",
    "                                           'group_0_%': round(cm_zero[1,1] / cm_zero[1].sum()*100, 2),\n",
    "                                           'group_1_%': round(cm_one[1,1] / cm_one[1].sum()*100, 2)}\n",
    "    fairness_stats['equal_accuracy'] = {'overall_accuracy': round((preds==y).sum()/len(y)*100, 2),\n",
    "                                        'group_0_%': round((preds_zero==y_zero).sum()/len(y_zero)*100, 2),\n",
    "                                        'group_1_%': round((preds_one==y_one).sum()/len(y_one)*100, 2)}\n",
    "    fairness_stats['confusion_matrix'] = {'overall_confusion_matrix': cm.tolist(), \n",
    "                                          'group_0': cm_zero.tolist(),\n",
    "                                          'group_1': cm_one.tolist()}\n",
    "    return fairness_stats\n",
    "\n",
    "# General metrics function\n",
    "def get_metrics(y_true, y_pred):\n",
    "    metrics = {}\n",
    "    metrics['confusion_matrix'] = confusion_matrix(y_true, y_pred).tolist()\n",
    "    metrics['precision'] = precision_score(y_true, y_pred)\n",
    "    metrics['recall'] = recall_score(y_true, y_pred)\n",
    "    metrics['f1'] = f1_score(y_true, y_pred)\n",
    "    metrics['accuracy'] = accuracy_score(y_true, y_pred)\n",
    "    return metrics\n",
    "\n",
    "# Feature importance with saving plot functionality\n",
    "def get_feature_importances(X, y):\n",
    "    feature_names = X.columns\n",
    "    forest = RandomForestClassifier(random_state=0)\n",
    "    forest.fit(X, y)\n",
    "\n",
    "    importances = forest.feature_importances_\n",
    "    std = np.std([tree.feature_importances_ for tree in forest.estimators_], axis=0)\n",
    "    forest_importances = pd.Series(importances, index=feature_names)\n",
    "\n",
    "    fig, ax = plt.subplots()\n",
    "    forest_importances.plot.bar(yerr=std, ax=ax)\n",
    "    ax.set_title(\"Feature importances using Mean Decrease in Impurity\")\n",
    "    ax.set_ylabel(\"Mean decrease in impurity\")\n",
    "    plt.savefig(\"feature_importances.jpg\",  bbox_inches='tight')  # Save plot as JPEG file\n",
    "    return forest_importances.to_json()\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3855992e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# baseline model\n",
    "\n",
    "# train\n",
    "model_baseline = DecisionTreeClassifier(random_state=0, max_depth=3)\n",
    "model_baseline.fit(X_train, y_train)\n",
    "\n",
    "# predict\n",
    "y_train_pred = model_baseline.predict(X_train)\n",
    "y_test_pred = model_baseline.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "256e3f5e",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ueo2qWHmwRTgRwX4E+nnywmd7+e/Pp83zFcq580Tb22hevQK+Xm58n5jG1K9+5njqJQD8vNwYck91mlevSJC/J2mXcvjvT6f58L+HycjOK/B57q4WZkY3pVawLw/P3ckvKRcAuK2SDw+1rEqDKlbKe7uTlJ7Jiu9O8Gn8rzfmixCnEbf7IDMWrWfPgUROnkln9oRH6NK6oXn+1NnzjJ+xkm+2HyDtwiVaNrqN1//eh5rhlQBITc/g3dmxbNr+IydSzlHR6kOX1g149tH78Pf1Ntt5b95avt66n30//4qHuysJsW/e8HuV4lHFx363ZMVn8ODB5g+Hu7s7wcHBdOzYkTlz5pCfn1/W3ZNi8vJw5ZeUDKZ89XOh5yf0rk9oeS+e/2wvj8TsJDk9kyn9GuHlfvnHO9DXkwBfTz7YcJBBc3YwYfWPtKhZkX/cV6fQ9p5oexunL2QVOB4R4se5izm8sSqB6Nk7WPDtMR5rU5PeTSqX3M2KABcvZVHv9jDeeKZPgXOGYfDI8x9y7MQZ5rz5KP+ZO4bKIRXoP+pfXLx0+ef25Ol0Tp5O4+Une/L1/LFMeTGKDXE/MvrNxTZt5eTm0a1dYwb2anVD7kvsZ8Fi/n67rk2TfG7dik+XLl2YO3cueXl5nDx5ktjYWJ5++mk+/fRTVq5ciZvbLXvrt5xth86y7dDZQs+FV/CmfmUr0bO3c+T0RQAmr/2JlSNa0aFuMKt+SOLw6QxeXr7PvObEuUz+75vDvNytLq4WC3mGYZ5rUbMizWtU4OXP9xF5W4DNZ63Zk2yzn5SWyR2V/WldO5DPdqnqIyXn3sh63BtZr9BzhxJPsWvfUdbPH0tEzVAAJo5+gIbdX2L5V7uI6h5JnZqhzBr/iHlN9cqBjB12PyNfX0Bubh5ubq4AjBnSFYAla7aV8h2J3DxuyYoPgKenJyEhIVSuXJkmTZrwwgsvsGLFCr788ktiYmIASEtLY9iwYQQFBeHv78+9997L999/b7Yxbtw4GjduzIIFC6hevTpWq5X+/ftz/vx5AObPn09AQABZWbbVgT59+jBw4MAbdq/OzN318o9wdu5vlbx8A3Lz8mlYxXrN63w93biYnWuT9FQo585zXSJ4Y9WPZOYUrTLo6+nG+czc6+y9SPFl51z+efP0dDePubq64OHuxvYfDl3zuvMZl/D18TKTHnFMdlV77Bwmu1XcsolPYe69914aNWrEZ599hmEY3H///SQnJ7NmzRri4+Np0qQJ7du35+zZ36oLBw8eZPny5axatYpVq1axadMm3nzz8jj4Aw88QF5eHitXrjTjT58+zapVq3j44Ydv+P05o6NnL5KUlsljbWri6+mGm4uFAS2qEuDrSYCvR6HX+Hu5MejuaqzYnWRz/IX767DiuxMcSD5fpM++I8yfdnUqsWL3CbvvQ6Sobq8WTJWQCkz89yrOpV8kOyeX6Qu+IuVMOiln0gu95mxaBlNj1vJQj7tvcG+lxFlKYHNyTpX4ANSpU4cjR46wYcMG9uzZwyeffEKzZs2oVasW77zzDuXLl+fTTz814/Pz84mJiaF+/fr85S9/ITo6mq+//hoAb29voqKimDt3rhm/cOFCqlSpQtu2bQv9/KysLNLT0202uX55+QYvfb6X8Arl+HLUPawb3Zo7q5Zn68Ez5OUbBeLLebjy1gMNOXImg7lbjpjH+zStjI+HGx/FHS3S51YPLMfE3vWJ2XKUnUdSS+p2RP6Uu5srs954hEOJKdxx3wvc3uE5tn73C/e2rIurS8G/0s9nZDLw2f+jdvVgnnmkSxn0WOTm4nQTXQzDwGKxEB8fz4ULFwgIsJ3HcenSJQ4ePGjuV69eHT8/P3M/NDSUlJQUc3/o0KE0b96cX3/9lcqVKzN37lxzcnVhJk6cyGuvvVbCd+Xcfjp5gUdiduLj4Yq7qwvnLuUwM7oJP15VufH2cOWdvg25lJ3Hi5/ts0mMmlatQL0wf74e08bmmlmDmrJu30kmrPnRPFY9oBzv9W/MF98nMX9r0RIlkZLUsE4462KeI/3CJXJy8gio4Eu3oZNpWKeqTdyFi5kMGP1vfLw9+XDCENw1zOXwtKrLfk6X+CQkJFCjRg3y8/MJDQ1l48aNBWLKly9v/tnd3d3mnMVisVkZduedd9KoUSPmz59P586d2bNnD1988cU1P//555/nmWeeMffT09MJDw+//hsS0+Wl6XlUqeBNRIgfH/73sHmunIcr7/ZtSE6ewT+W7SE7z3YOz9SvfmbW7+IDfT2Y3K8R41bsY3/SbwlU9cDLSU/s3mSbeJGycGVp+qHEU3x/IJFnh95nnjufkUnUMzPwdHcjZtKjeHm6X6sZcSBKfOznVInP+vXr2bNnD3//+9+pUqUKycnJuLm5Ub16dbvaffTRR5kyZQq//vorHTp0+MNExtPTE09PT7s+z9l4u7tSucJvzx4JtXpxe5Av6ZdySDmfRduISpy7mMPJ9Exuq+TDyA61+O/Pp9nxvyEobw9XJvdrhJebC6+v2ouPpxs+//tXcO5iNvkGpJzPgvO/TVK/9L/n+/x6LpNT/ztePbAc0/o3ZseRVJbsOE5Fn8tziPLzDc5dyrkRX4U4iYyLWRz+9ZS5fyzpLHt/Pk4FPx8qh1Tgi/W7CSjvQ+XgCvx4KIlX3vuMLn9pQJu7Lj+i4cLFTB78+wwys7J5/5Vozmdkcj4jE4CA8r64/m9RwK/JqaSez+DEyVTy8gz2/nwcgBqVK+FTTn9P3YwslsubPdc7u1s28cnKyiI5OdlmOfvEiRPp1q0bAwcOxMXFhcjISHr16sWkSZOIiIjgxIkTrFmzhl69etGsWbMif9aAAQMYM2YMs2bNYv78+aV4V84pIsSP96Mam/sj2t8OwJd7kpmw5kcCfD146t7bqOjjwZkL2cTuS2belt+GoCKC/bgjzB+AJY+1tGn7gRlxJKdnFqkf7SKCqODjQac7gul0R7B5PCktk77/jrve2xMp4Psfj/HAyA/M/dfeXw7AA12bM/XFAaScSeO16cs5ffY8QQH+/K1Lc0YN7mTG//BjIt/tv/zfQKt+b9i0HffJy4SHXh7if3v2Gj75cod5rvPD7wDwybQnubtJrVK5N5GyZjEMo+AMUAc3ePBg5s2bB4CbmxsVKlSgUaNGREVFMWjQIFz+NwHw/PnzvPjiiyxbtoxTp04REhJC69atmThxIuHh4YwbN47ly5eze/dus+2pU6cydepUjhw5YvOZAwcOZPXq1Zw4caJYFZ309HSsVit3vrQKVy8fu+9d5Gb0n1H3lHUXREpNeno6NcICSEtLw9/fv9Q+w2q1UnPEp7h4Xv/vivysDA69/7dS7evN7pZMfMpCx44dqVu3LtOmTSvWdUp8xBko8ZFb2Q1NfEZ+iqsdiU9eVgaHpjl34nPLDnXdKGfPnmXt2rWsX7+e6dOnl3V3RERE5A8o8bFTkyZNSE1NNecJiYiIlBat6rKfEh87XT3XR0REpLRoVZf9nO7JzSIiIuK8VPERERFxEC4uFlxcrr9sY9hx7a1CiY+IiIiD0FCX/TTUJSIiIk5DiY+IiIiDuLKqy56tOCZOnEjz5s3x8/MjKCiIXr16ceDAAZsYwzAYN24cYWFheHt707ZtW/bt22cTk5WVxYgRIwgMDMTHx4cePXpw/Phxm5jU1FSio6OxWq1YrVaio6M5d+6cTcyxY8fo3r07Pj4+BAYGMnLkSLKzs4t1T0p8REREHMSVoS57tuLYtGkTTz75JHFxcaxbt47c3Fw6depERkaGGfPWW28xefJkpk+fzo4dOwgJCaFjx46cP//bC55HjRrF559/zuLFi9m8eTMXLlygW7du5OXlmTFRUVHs3r2b2NhYYmNj2b17N9HR0eb5vLw87r//fjIyMti8eTOLFy9m2bJljB49unjfoZ7cXLb05GZxBnpys9zKbuSTm+s9t9zuJzfvf6vXdff11KlTBAUFsWnTJlq3bo1hGISFhTFq1CjGjh0LXK7uBAcHM2nSJB577DHS0tKoVKkSCxYsoF+/fgCcOHGC8PBw1qxZQ+fOnUlISKBevXrExcXRokULAOLi4oiMjOTHH38kIiKCL7/8km7dupGYmEhYWBgAixcvZvDgwaSkpBT5flTxERERkSJJS0sDoGLFigAcPnyY5ORkOnX67SW5np6etGnThm+//RaA+Ph4cnJybGLCwsKoX7++GbN161asVquZ9AC0bNkSq9VqE1O/fn0z6QHo3LkzWVlZxMfHF/ketKpLRETEQZTUk5vT09Ntjnt6ev7pC7YNw+CZZ57hnnvuoX79+gAkJycDEBwcbBMbHBzM0aNHzRgPDw8qVKhQIObK9cnJyQQFBRX4zKCgIJuYqz+nQoUKeHh4mDFFoYqPiIiIgyipOT7h4eHmJGKr1crEiRP/9LOfeuopfvjhBz7++ONC+mWbjBmG8acJ2tUxhcVfT8yfUcVHRETEySQmJtrMifmzas+IESNYuXIl33zzDVWqVDGPh4SEAJerMaGhoebxlJQUszoTEhJCdnY2qampNlWflJQU7r77bjPm5MmTBT731KlTNu1s27bN5nxqaio5OTkFKkF/RBUfERERB2HBzuXsXK6M+Pv722zXSnwMw+Cpp57is88+Y/369dSoUcPmfI0aNQgJCWHdunXmsezsbDZt2mQmNU2bNsXd3d0mJikpib1795oxkZGRpKWlsX37djNm27ZtpKWl2cTs3buXpKQkM2bt2rV4enrStGnTIn+HqviIiIg4iBv95OYnn3ySRYsWsWLFCvz8/My5NFarFW9vbywWC6NGjWLChAnUqlWLWrVqMWHCBMqVK0dUVJQZO2TIEEaPHk1AQAAVK1ZkzJgxNGjQgA4dOgBQt25dunTpwtChQ5k5cyYAw4YNo1u3bkRERADQqVMn6tWrR3R0NG+//TZnz55lzJgxDB06tFgr1JT4iIiISKFmzJgBQNu2bW2Oz507l8GDBwPw3HPPcenSJYYPH05qaiotWrRg7dq1+Pn5mfFTpkzBzc2Nvn37cunSJdq3b09MTAyurq5mzMKFCxk5cqS5+qtHjx5Mnz7dPO/q6srq1asZPnw4rVq1wtvbm6ioKN55551i3ZOe41PG9BwfcQZ6jo/cym7kc3wavfCFXb8r8jIz+H5C91Lt681OFR8REREHoZeU2k+Tm0VERMRpqOIjIiLiIErqAYbOTImPiIiIg9BQl/2U+IiIiDgIVXzspzk+IiIi4jRU8REREXEUdg51oYKPEh8RERFHoaEu+2moS0RERJyGKj4iIiIOQqu67KfER0RExEFoqMt+GuoSERERp6GKj4iIiIPQUJf9lPiIiIg4CA112U9DXSIiIuI0VPERERFxEKr42E+Jj4iIiIPQHB/7KfERERFxEKr42E9zfERERMRpqOIjIiLiIDTUZT8lPiIiIg5CQ13201CXiIiIOA1VfERERByEBTuHukqsJ45LiY+IiIiDcLFYcLEj87Hn2luFhrpERETEaajiIyIi4iC0qst+SnxEREQchFZ12U+Jj4iIiINwsVze7Lne2WmOj4iIiDgNVXxEREQchcXO4SpVfJT4iIiIOApNbrafhrpERETEaajiIyIi4iAs//vHnuudnRIfERERB6FVXfbTUJeIiIg4DVV8REREHIQeYGi/IiU+06ZNK3KDI0eOvO7OiIiIyLVpVZf9ipT4TJkypUiNWSwWJT4iIiJy0ypS4nP48OHS7oeIiIj8CReLBRc7yjb2XHuruO7JzdnZ2Rw4cIDc3NyS7I+IiIhcw5WhLns2Z1fsxOfixYsMGTKEcuXKcccdd3Ds2DHg8tyeN998s8Q7KCIiIpddmdxsz+bsip34PP/883z//fds3LgRLy8v83iHDh1YsmRJiXZOREREpCQVezn78uXLWbJkCS1btrTJHOvVq8fBgwdLtHMiIiLyG63qsl+xE59Tp04RFBRU4HhGRoZKaCIiIqVIk5vtV+yhrubNm7N69Wpz/0qyM2vWLCIjI0uuZyIiIiIlrNgVn4kTJ9KlSxf2799Pbm4u7733Hvv27WPr1q1s2rSpNPooIiIigOV/mz3XO7tiV3zuvvtutmzZwsWLF7nttttYu3YtwcHBbN26laZNm5ZGH0VERASt6ioJ1/WurgYNGjBv3ryS7ouIiIhIqbquxCcvL4/PP/+chIQELBYLdevWpWfPnri56Z2nIiIipcXFcnmz53pnV+xMZe/evfTs2ZPk5GQiIiIA+Omnn6hUqRIrV66kQYMGJd5JERER0dvZS0Kx5/g8+uij3HHHHRw/fpxdu3axa9cuEhMTadiwIcOGDSuNPoqIiIiUiGJXfL7//nt27txJhQoVzGMVKlRg/PjxNG/evEQ7JyIiIrZUtLFPsSs+ERERnDx5ssDxlJQUbr/99hLplIiIiBSkVV32K1LFJz093fzzhAkTGDlyJOPGjaNly5YAxMXF8c9//pNJkyaVTi9FREREk5tLQJESn/Lly9tkiYZh0LdvX/OYYRgAdO/enby8vFLopoiIiIj9ipT4bNiwobT7ISIiIn9Cq7rsV6Q5Pm3atCnyJiIiIqXDUgJbcXzzzTd0796dsLAwLBYLy5cvtzk/ePDgAnOIrkyDuSIrK4sRI0YQGBiIj48PPXr04Pjx4zYxqampREdHY7VasVqtREdHc+7cOZuYY8eO0b17d3x8fAgMDGTkyJFkZ2cX846u8wGGABcvXuTYsWMFPrRhw4bX26SIiIjcRDIyMmjUqBEPP/wwffr0KTSmS5cuzJ0719z38PCwOT9q1Ci++OILFi9eTEBAAKNHj6Zbt27Ex8fj6uoKQFRUFMePHyc2NhaAYcOGER0dzRdffAFcfnDy/fffT6VKldi8eTNnzpxh0KBBGIbB+++/X6x7Knbic+rUKR5++GG+/PLLQs9rjo+IiEjpcLFYcLFjuKq413bt2pWuXbv+YYynpychISGFnktLS2P27NksWLCADh06APDRRx8RHh7OV199RefOnUlISCA2Npa4uDhatGgBwKxZs4iMjOTAgQNERESwdu1a9u/fT2JiImFhYQC8++67DB48mPHjx+Pv71/keyr2cvZRo0aRmppKXFwc3t7exMbGMm/ePGrVqsXKlSuL25yIiIgUkcVi/waXV2v/fsvKyrruPm3cuJGgoCBq167N0KFDSUlJMc/Fx8eTk5NDp06dzGNhYWHUr1+fb7/9FoCtW7ditVrNpAegZcuWWK1Wm5j69eubSQ9A586dycrKIj4+vlj9LXbis379eqZMmULz5s1xcXGhWrVqPPTQQ7z11ltMnDixuM2JiIjIDRYeHm7Op7Fardf9+7tr164sXLiQ9evX8+6777Jjxw7uvfdeM5FKTk7Gw8PD5qHHAMHBwSQnJ5sxQUFBBdoOCgqyiQkODrY5X6FCBTw8PMyYoir2UFdGRobZwYoVK3Lq1Clq165NgwYN2LVrV3GbExERkSIqqVVdiYmJNsNDnp6e19Vev379zD/Xr1+fZs2aUa1aNVavXk3v3r2veZ1hGDb3Udg9XU9MUVzXk5sPHDgAQOPGjZk5cya//vor//73vwkNDS1ucyIiIlJEJTXU5e/vb7Ndb+JztdDQUKpVq8bPP/8MQEhICNnZ2aSmptrEpaSkmBWckJCQQt8IcerUKZuYqys7qamp5OTkFKgE/ZnrmuOTlJQEwKuvvkpsbCxVq1Zl2rRpTJgwobjNiYiIyC3izJkzJCYmmoWQpk2b4u7uzrp168yYpKQk9u7dy9133w1AZGQkaWlpbN++3YzZtm0baWlpNjF79+418w+AtWvX4unpSdOmTYvVx2IPdQ0YMMD885133smRI0f48ccfqVq1KoGBgcVtTkRERIroRq/qunDhAr/88ou5f/jwYXbv3k3FihWpWLEi48aNo0+fPoSGhnLkyBFeeOEFAgMD+etf/wqA1WplyJAhjB49moCAACpWrMiYMWNo0KCBucqrbt26dOnShaFDhzJz5kzg8nL2bt26ERERAUCnTp2oV68e0dHRvP3225w9e5YxY8YwdOjQYq3oAjue43NFuXLlaNKkib3NiIiIyJ/4/XDV9V5fHDt37qRdu3bm/jPPPAPAoEGDmDFjBnv27GH+/PmcO3eO0NBQ2rVrx5IlS/Dz8zOvmTJlCm5ubvTt25dLly7Rvn17YmJizGf4ACxcuJCRI0eaq7969OjB9OnTzfOurq6sXr2a4cOH06pVK7y9vYmKiuKdd94p/ndgXHnR1h+4cqNFMXny5GJ3wpmlp6djtVq586VVuHr5lHV3RErFf0bdU9ZdECk16enp1AgLIC0trdjVh+J8htVq5dGPtuNRzve628m+eIEPH7qrVPt6sytSxee7774rUmN6B4iIiIjczPSS0ptE7N//4rTZt9z6KjR/qqy7IFJqjLzivy/qerlwHauSrrre2dk9x0dERERuDL2d3X5K/kRERMRpqOIjIiLiICwWcLmBq7puRUp8REREHISLnYmPPdfeKjTUJSIiIk7juhKfBQsW0KpVK8LCwjh69CgAU6dOZcWKFSXaOREREfnNlcnN9mzOrtiJz4wZM3jmmWe47777OHfuHHl5eQCUL1+eqVOnlnT/RERE5H+uDHXZszm7Yic+77//PrNmzeLFF1+0edx0s2bN2LNnT4l2TkRERKQkFXty8+HDh7nzzjsLHPf09CQjI6NEOiUiIiIF3eh3dd2Kil3xqVGjBrt37y5w/Msvv6RevXol0ScREREpxJW3s9uzObtiV3yeffZZnnzySTIzMzEMg+3bt/Pxxx8zceJEPvzww9Loo4iIiKBXVpSEYic+Dz/8MLm5uTz33HNcvHiRqKgoKleuzHvvvUf//v1Lo48iIiIiJeK6HmA4dOhQhg4dyunTp8nPzycoKKik+yUiIiJX0Rwf+9n15ObAwMCS6oeIiIj8CRfsm6fjgjKfYic+NWrU+MMHIB06dMiuDomIiIiUlmInPqNGjbLZz8nJ4bvvviM2NpZnn322pPolIiIiV9FQl/2Knfg8/fTThR7/4IMP2Llzp90dEhERkcLpJaX2K7GVbV27dmXZsmUl1ZyIiIhIibNrcvPvffrpp1SsWLGkmhMREZGrWCzYNblZQ13XkfjceeedNpObDcMgOTmZU6dO8a9//atEOyciIiK/0Rwf+xU78enVq5fNvouLC5UqVaJt27bUqVOnpPolIiIiUuKKlfjk5uZSvXp1OnfuTEhISGn1SURERAqhyc32K9bkZjc3N5544gmysrJKqz8iIiJyDZYS+MfZFXtVV4sWLfjuu+9Koy8iIiLyB65UfOzZnF2x5/gMHz6c0aNHc/z4cZo2bYqPj4/N+YYNG5ZY50RERERKUpETn0ceeYSpU6fSr18/AEaOHGmes1gsGIaBxWIhLy+v5HspIiIimuNTAoqc+MybN48333yTw4cPl2Z/RERE5BosFssfvi+zKNc7uyInPoZhAFCtWrVS64yIiIhIaSrWHB9liiIiImVHQ132K1biU7t27T9Nfs6ePWtXh0RERKRwenKz/YqV+Lz22mtYrdbS6ouIiIhIqSpW4tO/f3+CgoJKqy8iIiLyB1wsFrteUmrPtbeKIic+mt8jIiJStjTHx35FfnLzlVVdIiIiIo6qyBWf/Pz80uyHiIiI/Bk7JzfrVV3X8coKERERKRsuWHCxI3ux59pbhRIfERERB6Hl7PYr9tvZRURERByVKj4iIiIOQqu67KfER0RExEHoOT7201CXiIiIOA1VfERERByEJjfbT4mPiIiIg3DBzqEuLWfXUJeIiIg4D1V8REREHISGuuynxEdERMRBuGDfUI2GefQdiIiIiBNRxUdERMRBWCwWLHaMV9lz7a1CiY+IiIiDsGDfC9aV9ijxERERcRh6crP9NMdHREREnIYqPiIiIg5ENRv7KPERERFxEHqOj/001CUiIiJOQ4mPiIiIg7iynN2erTi++eYbunfvTlhYGBaLheXLl9ucNwyDcePGERYWhre3N23btmXfvn02MVlZWYwYMYLAwEB8fHzo0aMHx48ft4lJTU0lOjoaq9WK1WolOjqac+fO2cQcO3aM7t274+PjQ2BgICNHjiQ7O7tY9wNKfERERByGSwlsxZGRkUGjRo2YPn16oeffeustJk+ezPTp09mxYwchISF07NiR8+fPmzGjRo3i888/Z/HixWzevJkLFy7QrVs38vLyzJioqCh2795NbGwssbGx7N69m+joaPN8Xl4e999/PxkZGWzevJnFixezbNkyRo8eXcw70hwfERERuYauXbvStWvXQs8ZhsHUqVN58cUX6d27NwDz5s0jODiYRYsW8dhjj5GWlsbs2bNZsGABHTp0AOCjjz4iPDycr776is6dO5OQkEBsbCxxcXG0aNECgFmzZhEZGcmBAweIiIhg7dq17N+/n8TERMLCwgB49913GTx4MOPHj8ff37/I96SKj4iIiIMoqaGu9PR0my0rK6vYfTl8+DDJycl06tTJPObp6UmbNm349ttvAYiPjycnJ8cmJiwsjPr165sxW7duxWq1mkkPQMuWLbFarTYx9evXN5MegM6dO5OVlUV8fHyx+q3ER0RExEFYSmADCA8PN+fTWK1WJk6cWOy+JCcnAxAcHGxzPDg42DyXnJyMh4cHFSpU+MOYoKCgAu0HBQXZxFz9ORUqVMDDw8OMKSoNdYmIiDiZxMREm+EhT0/P627r6gnThmH86STqq2MKi7+emKJQxUdERMRBlNRQl7+/v812PYlPSEgIQIGKS0pKilmdCQkJITs7m9TU1D+MOXnyZIH2T506ZRNz9eekpqaSk5NToBL0Z5T4iIiIOIgbvarrj9SoUYOQkBDWrVtnHsvOzmbTpk3cfffdADRt2hR3d3ebmKSkJPbu3WvGREZGkpaWxvbt282Ybdu2kZaWZhOzd+9ekpKSzJi1a9fi6elJ06ZNi9VvDXWJiIg4iOt5Fs/V1xfHhQsX+OWXX8z9w4cPs3v3bipWrEjVqlUZNWoUEyZMoFatWtSqVYsJEyZQrlw5oqKiALBarQwZMoTRo0cTEBBAxYoVGTNmDA0aNDBXedWtW5cuXbowdOhQZs6cCcCwYcPo1q0bERERAHTq1Il69eoRHR3N22+/zdmzZxkzZgxDhw4t1oouUOIjIiIi17Bz507atWtn7j/zzDMADBo0iJiYGJ577jkuXbrE8OHDSU1NpUWLFqxduxY/Pz/zmilTpuDm5kbfvn25dOkS7du3JyYmBldXVzNm4cKFjBw50lz91aNHD5tnB7m6urJ69WqGDx9Oq1at8Pb2JioqinfeeafY92QxDMMo9lVSYtLT07FarZw8k1bsrFXEUVRo/lRZd0Gk1Bh52WTtmUVaWun9PX7ld8XCLT9Rztfvzy+4hosXzjOgVe1S7evNThUfERERB6GXlNpPk5tFRETEaajiIyIi4iBcsODC9Zdt7Ln2VqHER0RExEFoqMt+GuoSERERp6GKj4iIiIOw/O8fe653dkp8REREHISGuuynoS4RERFxGqr4iIiIOAiLnau6NNSlxEdERMRhaKjLfkp8REREHIQSH/tpjo+IiIg4DVV8REREHISWs9tPiY+IiIiDcLFc3uy53tlpqEtERESchio+IiIiDkJDXfZT4iMiIuIgtKrLfhrqEhEREaehio+IiIiDsGDfcJUKPkp8REREHIZWddlPQ10iIiLiNFTxEYf35v+tZtKsL22OBVX048B/JgJQoflThV732shejIzuAEBWdg4vv/c5y/4TT2ZWDq2b1+adsf2oHFyhdDsvTu/vgzvRrV0jalULJjMrh+0/HGLc9BX8cjTFjPHx9uDVp3pyX5uGVLT6cCzpLP+3ZCNzlm0GoLx/OZ4fdj/tWtahcnAFzp67wOqNPzDh36tIz8g022kYUYVxI3rRpF5V8vIMVm7YzUtTlpFxKRuAB7u14F+vRhfaz1qd/sHp1Aul+E1IUWhVl/1uisTn22+/5S9/+QsdO3YkNja2rLsjDqhOzVCWfzDC3Hd1/e0/7h+/nGAT+9W3+xjxxiJ6tGtsHnt+8jL+89+9zB7/MBXL+/DS1M/p//d/s3HBWFxdVRiV0nN3k9v58JNv+G7/UdxcXXnpie589v5TtOz7BhczLyck45/pw1+a1uaxV+ZzLOkM97asyzvP9SXpVBpffrOH0EpWQipZeeW9z/nxUDLhoRWZ/I/+hFSyMvgfswEICbSy/IMRfL5uF8+9vRQ/Hy8mPtOHD16NNmM+X7eLr7fut+nfB69G4+XhrqTnJqFVXfa7KRKfOXPmMGLECD788EOOHTtG1apVS/XzcnJycHd3L9XPkBvLzdWF4ED/Qs9dfXzNN3v4S9NaVK8SCEDahUt8tGIr/35tIG1b1AFg5j8HUr/by2zc/iPtI+uVbufFqT0w8l82+0/+8yN+WfcmjeuG8+13BwG4q0ENPl69jS27fgZg3udbGPzXVtxZrypffrOHhINJDBr7odnGkV9P88aML5j5z4G4urqQl5dP57/UJyc3jzFvLcUwDADGvLWU/y58nhpVAjl8/DSZWTlkZuWY7QSU96V1s9qMfH1haX8NUkQW7JugrLznJpjjk5GRwdKlS3niiSfo1q0bMTEx5rmNGzdisVhYvXo1jRo1wsvLixYtWrBnzx4zJiYmhvLly7N8+XJq166Nl5cXHTt2JDEx0YwZN24cjRs3Zs6cOdSsWRNPT08Mw+DYsWP07NkTX19f/P396du3LydPngTgwIEDWCwWfvzxR5v+Tp48merVq5t/cezfv5/77rsPX19fgoODiY6O5vTp06X4jUlhDiWeom7XF2jU81UeeWEOR44X/u8g5Uw6azfv5aGekeax7xOOkZObx70t65rHQiuVp+5tYWz/4XCp913k9/x9vQBITb9oHovbfYiurRsQWskKwD1Na3Fb1SDWb034w3bOZ2SSl5cPgIe7Gzm5eebfXYCZ5LRsfFuhbfS//y4uZWazYv1uu+5J5GZS5onPkiVLiIiIICIigoceeoi5c+fa/IcJ8Oyzz/LOO++wY8cOgoKC6NGjBzk5v/1fycWLFxk/fjzz5s1jy5YtpKen079/f5s2fvnlF5YuXcqyZcvYvXs3AL169eLs2bNs2rSJdevWcfDgQfr16wdAREQETZs2ZeFC2//TWbRoEVFRUVgsFpKSkmjTpg2NGzdm586dxMbGcvLkSfr27XvN+83KyiI9Pd1mE/s0vaM6M16L5tP3n+S9Fx4k5Uw6nYe8y9lzBUvzH6/ehq+PF91/N8x18kw6Hu5ulPcvZxMbVNGPk2f070durPF/78PW734h4WCSeWzsO59w4FAy+9eMJ2Xre3w6bTjPTlpC3PeHCm2jgtWHZ4d0JeazLeax/+48QFCAPyMeao+7mytWP29eHt4DuDwMVpgBPSL59D87bapAUrZcsOBisWNTzafsh7pmz57NQw89BECXLl24cOECX3/9NR06dDBjXn31VTp27AjAvHnzqFKlCp9//rmZYOTk5DB9+nRatGhhxtStW5ft27dz1113AZCdnc2CBQuoVKkSAOvWreOHH37g8OHDhIeHA7BgwQLuuOMOduzYQfPmzRkwYADTp0/n9ddfB+Cnn34iPj6e+fPnAzBjxgyaNGnChAm/zSGZM2cO4eHh/PTTT9SuXbvA/U6cOJHXXnut5L5AoWOrO37buR2aN6xBk17j+Hj1Np4c0N4mduHKOB7o0gwvzz8f6jQMQ+PhckO9/Vxf7rg9jK5Dp9gcf6x/W5o1qM6Dz/ybxKSz3H3n7bw9th/JZ9LZtP2ATayfjxdLpjzOgcNJTJq1xjz+46Fkho9bwBt/780rT/YgLz+f/1uyiZNn0s2q0O81b1CDujVDeeLV+aVzs3JdNNRlvzKt+Bw4cIDt27eb1Rk3Nzf69evHnDlzbOIiI38blqhYsSIREREkJPxW4nVzc6NZs2bmfp06dShfvrxNTLVq1cykByAhIYHw8HAz6QGoV6+ezXX9+/fn6NGjxMXFAbBw4UIaN25MvXqX53zEx8ezYcMGfH19za1OnctzRA4ePFjoPT///POkpaWZ2++H5KRk+Hh7Uu/2MA4mnrI5/u13v/Dz0ZNE97zb5nhwgD/ZObmc+93QAsCp1AsEVSx83pBISZs05gG6tm5A9yemcSLlnHncy9Odl4d356UpnxH7373s++UEsz75hs/X7eKph2wTe99ynnw6bTgZl7J46NlZ5F6V0Hz6n53U6fIC9e5/ids6jOXN/1tDYHlfjp44U6A/0T0j+eFAIt//qL+j5NZSphWf2bNnk5ubS+XKlc1jhmHg7u5OamrqH15ruep/xa/ev/qYj4+PzbnL/zdf8JrfHw8NDaVdu3YsWrSIli1b8vHHH/PYY4+Zsfn5+XTv3p1JkyYVaCc0NLTQfnt6euLp6fkHdyb2ysrO4acjJ4lsfLvN8Y9WbKVx3XAa1K5ic7xR3aq4u7myYduP/LVjEwCST6eRcPAEr43oecP6Lc7rrWcf4P62jej++HscuyoJcXdzxcPdjfyrpgDk5+fj8ru/w/x8vPh02pNk5+QS9cxMsrJzr/l5p86eB2BA95ZkZuewYZvtXEYfbw96dWjC6x+stPfWpKSp5GO3Mkt8cnNzmT9/Pu+++y6dOnWyOdenTx8WLlxI/fr1AYiLizNXeqWmpvLTTz+ZlZUrbe3cudMc1jpw4ADnzp2ziblavXr1OHbsGImJiWbVZ//+/aSlpVG37m+TXAcMGMDYsWN58MEHOXjwoM3coSZNmrBs2TKqV6+Om1uZjxo6rZenfkaXvzSgSkgFTqVe4J3ZsZzPyKR/txZmTPqFS6z4+jteH/XXAtdbfb15qGckL039jIpWHypYy/Hy1M+pd1sYbe+69s+QSEl4Z2xf/ta5GVFj/o8LFzMJCvADIP1CJplZOZzPyGRz/M/8c2QvLmXmkJh8llZNbqfffXfx0tTPgMuVnmXvP0k5Lw8ee2Uefr5e+P1vkvTp1Avk519OmoY+0JptPxwi41I27VrU4bWRvXht+grSL1yy6dNfOzbFzdWFpbE7buA3IUWh5/jYr8x+W69atYrU1FSGDBmC1Wo7se5vf/sbs2fPZsqUy+Pc//znPwkICCA4OJgXX3yRwMBAevXqZca7u7szYsQIpk2bhru7O0899RQtW7Y0E6HCdOjQgYYNGzJgwACmTp1Kbm4uw4cPp02bNjbDZr179+aJJ57giSeeoF27djbVqSeffJJZs2bx4IMP8uyzzxIYGMgvv/zC4sWLmTVrFq6uriX0bckf+TXlHI++NJcz5zIIrOBLs/rVWTtnNFVDK5oxn62NxzAM+nRuVmgbE/7eBzdXFx5+YTaZmTm0bh7Bx69G6xk+UuqG/K01AKtnjrI5Pvy1BXy8atvlmBfn8MqTPfm/1wdRwb8ciclneWPGKvMBho3qVKV5gxoAfLd8nE07DXu8QmLSWQCa3FGNfwy7H59yHvx85CTPTPiYJV8WTG6ie0ayauP3pJ2/VOCciKMrs8Rn9uzZdOjQoUDSA5crPhMmTGDXrl0AvPnmmzz99NP8/PPPNGrUiJUrV+Lh4WHGlytXjrFjxxIVFcXx48e55557CswTuprFYmH58uWMGDGC1q1b4+LiQpcuXXj//fdt4vz9/enevTuffPJJgTbDwsLYsmULY8eOpXPnzmRlZVGtWjW6dOmCi4t+Yd4ocyY88qcxg3vfw+De91zzvJenO28925e3nr32ijyR0nCtJ4v/XsqZ8zz1z4+ueX7Lrp+L1M4T4xYUqU+dh0wuUpyUATsfYKiCD1iMq9eO30Q2btxIu3btSE1NpXz58oXGxMTEMGrUKM6dO3dD+1ZS0tPTsVqtnDyThr+/JtLKrakov5RFHJWRl03WnlmkpZXe3+NXfles330MX7/r/4wL59O5t3HVUu3rzU5lCREREXEampErIiLiKLSqy243dcWnbdu2GIZxzWEugMGDBzvsMJeIiEhxWErgH2enio+IiIiD0NvZ7XdTV3xERERESpIqPiIiIg5CU3zsp8RHRETEUSjzsZuGukRERMRpqOIjIiLiIPSuLvsp8REREXEQWtVlPw11iYiIiNNQxUdERMRBaG6z/ZT4iIiIOAplPnbTUJeIiIg4DVV8REREHIRWddlPiY+IiIiD0Kou+ynxERERcRCa4mM/zfERERERp6GKj4iIiKNQycduSnxEREQchCY3209DXSIiIuI0VPERERFxEFrVZT9VfERERByEpQS24hg3bhwWi8VmCwkJMc8bhsG4ceMICwvD29ubtm3bsm/fPps2srKyGDFiBIGBgfj4+NCjRw+OHz9uE5Oamkp0dDRWqxWr1Up0dDTnzp0rZm+LRomPiIiIXNMdd9xBUlKSue3Zs8c899ZbbzF58mSmT5/Ojh07CAkJoWPHjpw/f96MGTVqFJ9//jmLFy9m8+bNXLhwgW7dupGXl2fGREVFsXv3bmJjY4mNjWX37t1ER0eXyv1oqEtERMRRlMGqLjc3N5sqzxWGYTB16lRefPFFevfuDcC8efMIDg5m0aJFPPbYY6SlpTF79mwWLFhAhw4dAPjoo48IDw/nq6++onPnziQkJBAbG0tcXBwtWrQAYNasWURGRnLgwAEiIiKu/34LoYqPiIiIg7CUwD/F9fPPPxMWFkaNGjXo378/hw4dAuDw4cMkJyfTqVMnM9bT05M2bdrw7bffAhAfH09OTo5NTFhYGPXr1zdjtm7ditVqNZMegJYtW2K1Ws2YkqSKj4iIiJNJT0+32ff09MTT07NAXIsWLZg/fz61a9fm5MmTvPHGG9x9993s27eP5ORkAIKDg22uCQ4O5ujRowAkJyfj4eFBhQoVCsRcuT45OZmgoKACnx0UFGTGlCRVfERERBzElVVd9mwA4eHh5kRiq9XKxIkTC/28rl270qdPHxo0aECHDh1YvXo1cHlI67c+2VaRDMMocOxqV8cUFl+Udq6HKj4iIiIOoqSm+CQmJuLv728eL6zaUxgfHx8aNGjAzz//TK9evYDLFZvQ0FAzJiUlxawChYSEkJ2dTWpqqk3VJyUlhbvvvtuMOXnyZIHPOnXqVIFqUklQxUdERMRRlNB6dn9/f5utqIlPVlYWCQkJhIaGUqNGDUJCQli3bp15Pjs7m02bNplJTdOmTXF3d7eJSUpKYu/evWZMZGQkaWlpbN++3YzZtm0baWlpZkxJUsVHRERECjVmzBi6d+9O1apVSUlJ4Y033iA9PZ1BgwZhsVgYNWoUEyZMoFatWtSqVYsJEyZQrlw5oqKiALBarQwZMoTRo0cTEBBAxYoVGTNmjDl0BlC3bl26dOnC0KFDmTlzJgDDhg2jW7duJb6iC5T4iIiIOIwb/a6u48eP8+CDD3L69GkqVapEy5YtiYuLo1q1agA899xzXLp0ieHDh5OamkqLFi1Yu3Ytfn5+ZhtTpkzBzc2Nvn37cunSJdq3b09MTAyurq5mzMKFCxk5cqS5+qtHjx5Mnz79uu/zj1gMwzBKpWUpkvT0dKxWKyfPpNmMt4rcSio0f6qsuyBSaoy8bLL2zCItrfT+Hr/yu2LXL8n4+V3/Z5w/n06T20NKta83O83xEREREaehoS4REREHUQYPbr7lKPERERFxFMp87KahLhEREXEaqviIiIg4iBu9qutWpMRHRETEQfz+tRPXe72z01CXiIiIOA1VfERERByE5jbbT4mPiIiIo1DmYzclPiIiIg5Ck5vtpzk+IiIi4jRU8REREXEQFuxc1VViPXFcSnxEREQchKb42E9DXSIiIuI0VPERERFxEHqAof2U+IiIiDgMDXbZS0NdIiIi4jRU8REREXEQGuqynxIfERERB6GBLvtpqEtERESchio+IiIiDkJDXfZT4iMiIuIg9K4u+ynxERERcRSa5GM3zfERERERp6GKj4iIiINQwcd+SnxEREQchCY3209DXSIiIuI0VPERERFxEFrVZT8lPiIiIo5Ck3zspqEuERERcRqq+IiIiDgIFXzsp8RHRETEQWhVl/001CUiIiJOQxUfERERh2Hfqi4NdinxERERcRga6rKfhrpERETEaSjxEREREaehoS4REREHoaEu+ynxERERcRB6ZYX9NNQlIiIiTkMVHxEREQehoS77KfERERFxEHplhf001CUiIiJOQxUfERERR6GSj92U+IiIiDgIreqyn4a6RERExGmo4iMiIuIgtKrLfkp8REREHISm+NhPiY+IiIijUOZjN83xEREREaehio+IiIiD0Kou+ynxERERcRCa3Gw/JT5lzDAMAM6np5dxT0RKj5GXXdZdECk1V36+r/x9XprS7fxdYe/1twIlPmXs/PnzANxeI7yMeyIiIvY4f/48Vqu1VNr28PAgJCSEWiXwuyIkJAQPD48S6JVjshg3IkWVa8rPz+fEiRP4+flhUQ3yhkhPTyc8PJzExET8/f3LujsiJUo/3zeeYRicP3+esLAwXFxKb81QZmYm2dn2V089PDzw8vIqgR45JlV8ypiLiwtVqlQp6244JX9/f/1ikFuWfr5vrNKq9Pyel5eXUycsJUXL2UVERMRpKPERERERp6HER5yOp6cnr776Kp6enmXdFZESp59vkT+myc0iIiLiNFTxEREREaehxEdERESchhIfERERcRpKfERERMRpKPERhzN48GAsFgsWiwV3d3eCg4Pp2LEjc+bMIT8/v6y7J/KHvv32W1xdXenSpUtZd0XEKSnxEYfUpUsXkpKSOHLkCF9++SXt2rXj6aefplu3buTm5pZ190Suac6cOYwYMYLNmzdz7NixUv+8nJycUv8MEUeixEcckqenJyEhIVSuXJkmTZrwwgsvsGLFCr788ktiYmIASEtLY9iwYQQFBeHv78+9997L999/b7Yxbtw4GjduzIIFC6hevTpWq5X+/fubL46dP38+AQEBZGVl2Xx2nz59GDhw4A27V7l1ZGRksHTpUp544gm6detm/qwCbNy4EYvFwurVq2nUqBFeXl60aNGCPXv2mDExMTGUL1+e5cuXU7t2bby8vOjYsSOJiYlmzJWf6zlz5lCzZk08PT0xDINjx47Rs2dPfH198ff3p2/fvpw8eRKAAwcOYLFY+PHHH236O3nyZKpXr26+dXz//v3cd999+Pr6EhwcTHR0NKdPny7Fb0yk5CnxkVvGvffeS6NGjfjss88wDIP777+f5ORk1qxZQ3x8PE2aNKF9+/acPXvWvObgwYMsX76cVatWsWrVKjZt2sSbb74JwAMPPEBeXh4rV64040+fPs2qVat4+OGHb/j9ieNbsmQJERERRERE8NBDDzF37lyufpTas88+yzvvvMOOHTsICgqiR48eNlWbixcvMn78eObNm8eWLVtIT0+nf//+Nm388ssvLF26lGXLlrF7924AevXqxdmzZ9m0aRPr1q3j4MGD9OvXD4CIiAiaNm3KwoULbdpZtGgRUVFRWCwWkpKSaNOmDY0bN2bnzp3ExsZy8uRJ+vbtWwrflEgpMkQczKBBg4yePXsWeq5fv35G3bp1ja+//trw9/c3MjMzbc7fdtttxsyZMw3DMIxXX33VKFeunJGenm6ef/bZZ40WLVqY+0888YTRtWtXc3/q1KlGzZo1jfz8/BK8I3EWd999tzF16lTDMAwjJyfHCAwMNNatW2cYhmFs2LDBAIzFixeb8WfOnDG8vb2NJUuWGIZhGHPnzjUAIy4uzoxJSEgwAGPbtm2GYVz+uXZ3dzdSUlLMmLVr1xqurq7GsWPHzGP79u0zAGP79u2GYRjG5MmTjZo1a5rnDxw4YADGvn37DMMwjJdfftno1KmTzf0kJiYagHHgwAH7vxyRG0QVH7mlGIaBxWIhPj6eCxcuEBAQgK+vr7kdPnyYgwcPmvHVq1fHz8/P3A8NDSUlJcXcHzp0KGvXruXXX38FYO7cuebkapHiOHDgANu3bzerM25ubvTr1485c+bYxEVGRpp/rlixIhERESQkJJjH3NzcaNasmblfp04dypcvbxNTrVo1KlWqZO4nJCQQHh5OeHi4eaxevXo21/Xv35+jR48SFxcHwMKFC2ncuDH16tUDID4+ng0bNtj891SnTh0Am/+mRG52bmXdAZGSlJCQQI0aNcjPzyc0NJSNGzcWiClfvrz5Z3d3d5tzFovFZmXYnXfeSaNGjZg/fz6dO3dmz549fPHFF6XVfbmFzZ49m9zcXCpXrmweMwwDd3d3UlNT//DaqxPtwhLv3x/z8fGxOXflfwiu9vvjoaGhtGvXjkWLFtGyZUs+/vhjHnvsMTM2Pz+f7t27M2nSpALthIaG/mH/RW4mSnzklrF+/Xr27NnD3//+d6pUqUJycjJubm5Ur17drnYfffRRpkyZwq+//kqHDh1s/q9ZpChyc3OZP38+7777Lp06dbI516dPHxYuXEj9+vUBiIuLo2rVqgCkpqby008/mZWVK23t3LmTu+66C7hcSTp37pxNzNXq1avHsWPHSExMNH9+9+/fT1paGnXr1jXjBgwYwNixY3nwwQc5ePCgzdyhJk2asGzZMqpXr46bm351iOPSUJc4pKysLJKTk/n111/ZtWsXEyZMoGfPnnTr1o2BAwfSoUMHIiMj6dWrF//5z384cuQI3377LS+99BI7d+4s1mcNGDCAX3/9lVmzZvHII4+U0h3JrWzVqlWkpqYyZMgQ6tevb7P97W9/Y/bs2WbsP//5T77++mv27t3L4MGDCQwMpFevXuZ5d3d3RowYwbZt29i1axcPP/wwLVu2NBOhwnTo0IGGDRsyYMAAdu3axfbt2xk4cCBt2rSxGTbr3bs36enpPPHEE7Rr186mOvXkk09y9uxZHnzwQbZv386hQ4dYu3YtjzzyCHl5eSX7hYmUIiU+4pBiY2MJDQ2levXqdOnShQ0bNjBt2jRWrFiBq6srFouFNWvW0Lp1ax555BFq165N//79OXLkCMHBwcX6LH9/f/r06YOvr6/NLyCRopo9ezYdOnTAarUWONenTx92797Nrl27AHjzzTd5+umnadq0KUlJSaxcuRIPDw8zvly5cowdO5aoqCgiIyPx9vZm8eLFf/j5FouF5cuXU6FCBVq3bk2HDh2oWbMmS5YssYnz9/ene/fufP/99wwYMMDmXFhYGFu2bCEvL4/OnTtTv359nn76aaxWKy4u+lUijsNiGFetpRSRAjp27EjdunWZNm1aWXdFblEbN26kXbt2pKam2sxD+72YmBhGjRrFuXPnbmjfRG4lGqgV+QNnz55l7dq1rF+/nunTp5d1d0RExE5KfET+QJMmTUhNTWXSpElERESUdXdERMROGuoSERERp6EZaSIiIuI0lPiIiIiI01DiIyIiIk5DiY+IiIg4DSU+IsK4ceNo3LixuT948OAyeVjjkSNHsFgs7N69+5ox1atXZ+rUqUVuMyYm5prPxSmOKw8BFBHHpsRH5CZ15S3wFosFd3d3atasyZgxY8jIyCj1z37vvfeIiYkpUmxRkhURkZuFnuMjchPr0qULc+fOJScnh//+9788+uijZGRkMGPGjAKxOTk5Bd42f70Ke7WCiMitQBUfkZuYp6cnISEhhIeHExUVxYABA8zhlivDU3PmzKFmzZp4enpiGAZpaWkMGzaMoKAg/P39uffee/n+++9t2n3zzTcJDg7Gz8+PIUOGkJmZaXP+6qGu/Px8Jk2axO23346npydVq1Zl/PjxANSoUQOAO++8E4vFQtu2bc3r5s6dS926dfHy8qJOnTr861//svmc7du3c+edd+Ll5UWzZs347rvviv0dTZ48mQYNGuDj40N4eDjDhw/nwoULBeKWL19O7dq18fLyomPHjiQmJtqc/+KLL2jatCleXl7UrFmT1157jdzc3GL3R0Rubkp8RByIt7c3OTk55v4vv/zC0qVLWbZsmTnUdP/995OcnMyaNWuIj4+nSZMmtG/fnrNnzwKwdOlSXn31VcaPH8/OnTsJDQ0tkJBc7fnnn2fSpEm8/PLL7N+/n0WLFpkve92+fTsAX331FUlJSXz22WcAzJo1ixdffJHx48eTkJDAhAkTePnll5k3bx4AGRkZdOvWjYiICOLj4xk3bhxjxowp9nfi4uLCtGnT2Lt3L/PmzWP9+vU899xzNjEXL15k/PjxzJs3jy1btpCenk7//v3N8//5z3946KGHGDlyJPv372fmzJnExMSYyZ2I3EIMEbkpDRo0yOjZs6e5v23bNiMgIMDo27evYRiG8eqrrxru7u5GSkqKGfP1118b/v7+RmZmpk1bt912mzFz5kzDMAwjMjLSePzxx23Ot2jRwmjUqFGhn52enm54enoas2bNKrSfhw8fNgDju+++szkeHh5uLFq0yObY66+/bkRGRhqGYRgzZ840KlasaGRkZJjnZ8yYUWhbv1etWjVjypQp1zy/dOlSIyAgwNyfO3euARhxcXHmsYSEBAMwtm3bZhiGYfzlL38xJkyYYNPOggULjNDQUHMfMD7//PNrfq6IOAbN8RG5ia1atQpfX19yc3PJycmhZ8+evP/+++b5atWqUalSJXM/Pj6eCxcuEBAQYNPOpUuXOHjwIAAJCQk8/vjjNucjIyPZsGFDoX1ISEggKyuL9u3bF7nfp06dIjExkSFDhjB06FDzeG5urjl/KCEhgUaNGlGuXDmbfhTXhg0bmDBhAvv37yc9PZ3c3FwyMzPJyMjAx8cHADc3N5o1a2ZeU6dOHcqXL09CQgJ33XUX8fHx7Nixw6bCk5eXR2ZmJhcvXrTpo4g4NiU+Ijexdu3aMWPGDNzd3QkLCyswefnKL/Yr8vPzCQ0NZePGjQXaut4l3d7e3sW+Jj8/H7g83NWiRQubc66urgAYJfCawKNHj3Lffffx+OOP8/rrr1OxYkU2b97MkCFDbIYE4fJy9KtdOZafn89rr71G7969C8R4eXnZ3U8RuXko8RG5ifn4+HD77bcXOb5JkyYkJyfj5uZG9erVC42pW7cucXFxDBw40DwWFxd3zTZr1aqFt7c3X3/9NY8++miB8x4eHsDlCskVwcHBVK5cmUOHDjFgwIBC261Xrx4LFizg0qVLZnL1R/0ozM6dO8nNzeXdd9/FxeXylMWlS5cWiMvNzWXnzp3cddddABw4cIBz585Rp04d4PL3duDAgWJ91yLimJT4iNxCOnToQGRkJL169WLSpElERERw4sQJ1qxZQ69evWjWrBlPP/00gwYNolmzZtxzzz0sXLiQffv2UbNmzULb9PLyYuzYsTz33HN4eHjQqlUrTp06xb59+xgyZAhBQUF4e3sTGxtLlSpV8PLywmq1Mm7cOEaOHIm/vz9du3YlKyuLnTt3kpqayjPPPENUVBQvvvgiQ4YM4aWXXuLIkSO88847xbrf2267jdzcXN5//326d+/Oli1b+Pe//10gzt3dnREjRjBt2jTc3d156qmnaNmypZkIvfLKK3Tr1o3w8HAeeOABXFxc+OGHH9izZw9vvPFG8f9FiMhNS6u6RG4hFouFNWvW0Lp1ax555BFq165N//79OXLkiLkKq1+/frzyyiuMHTuWpk2bcvToUZ544ok/bPfll19m9OjRvPLKK9StW5d+/fqRkpICXJ4/M23aNGbOnElYWBg9e/YE4NFHH+XDDz8kJiaGBg0a0KZNG2JiYszl776+vnzxxRfs37+fO++8kxdffJFJkyYV634bN27M5MmTmTRpEvXr12fhwoVMnDixQFy5cuUYO3YsUVFRREZG4u3tzeLFi83znTt3ZtWqVaxbt47mzZvTsmVLJk+eTLVq1YrVHxG5+VmMkhhoFxEREXEAqviIiIiI01DiIyIiIk5DiY+IiIg4DSU+IiIi4jSU+IiIiIjTUOIjIiIiTkOJj4iIiDgNJT4iIiLiNJT4iIiIiNNQ4iMiIiJOQ4mPiIiIOA0lPiIiIuI0/h+SU00+7MPofQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# metrics\n",
    "\n",
    "train_metrics = get_metrics(y_train, y_train_pred)\n",
    "test_metrics = get_metrics(y_test, y_test_pred)\n",
    "\n",
    "fairness_metrics = get_fairness_stats(X_test, y_test, model_baseline, X_test[\"Group\"]==1, y_test_pred)\n",
    "feature_importances = get_feature_importances(X_train, y_train)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "58007d98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 2000x600 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 2000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "def visualize_model(model, feature_names, class_names=[\"Deny\", \"Approve\"], impurity=False, filename=\"model_visualization.jpg\"):\n",
    "    plt.figure(figsize=(20, 6))  # Moved inside the function to ensure a new figure is created for each call\n",
    "    plot_list = plot_tree(model, feature_names=feature_names, class_names=class_names, impurity=impurity)\n",
    "    [process_plot_item(item) for item in plot_list]\n",
    "    plt.savefig(filename,  bbox_inches='tight')  # Save the plot as a JPEG file\n",
    "\n",
    "def process_plot_item(item):\n",
    "    split_string = item.get_text().split(\"\\n\")\n",
    "    if split_string[0].startswith(\"samples\"):\n",
    "        item.set_text(\"\\n\".join(split_string[1:]))  # Show only the class names\n",
    "    else:\n",
    "        item.set_text(split_string[0])\n",
    "\n",
    "# Example of how to call visualize_model\n",
    "# model_baseline is your trained model and X_train.columns are the feature names\n",
    "\n",
    "plt.figure(figsize=(20, 6))\n",
    "plot_list = visualize_model(model_baseline, feature_names=X_train.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "45552f53-77e0-4538-8868-976c2cbbfd0c",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "47d40678-29c1-478e-9fb5-7d617e597cfe",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "56cfbce5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# gender unaware model\n",
    "\n",
    "# remove gender\n",
    "X_train_unaware = X_train.drop([\"Group\"],axis=1)\n",
    "X_test_unaware = X_test.drop([\"Group\"],axis=1)\n",
    "\n",
    "# train\n",
    "model_unaware = DecisionTreeClassifier(random_state=0, max_depth=3)\n",
    "model_unaware.fit(X_train_unaware, y_train)\n",
    "\n",
    "# predict\n",
    "y_train_unaware_pred = model_unaware.predict(X_train_unaware)\n",
    "y_test_unaware_pred = model_unaware.predict(X_test_unaware)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a912e7e9-ac6c-4103-abba-e202eb1d697c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# prediction example\n",
    "# model_unaware.predict(X_train_unaware.iloc[0:1].values).tolist()[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "97b2f6c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# metrics\n",
    "\n",
    "train_metrics = get_metrics(y_train, y_train_unaware_pred)\n",
    "test_metrics = get_metrics(y_test, y_test_unaware_pred)\n",
    "\n",
    "fairness_metrics = get_fairness_stats(X_test, y_test, model_unaware, X_test[\"Group\"]==1, y_test_pred)\n",
    "\n",
    "feature_importances = get_feature_importances(X_train_unaware, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "7d883f56",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 2000x600 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 2000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20, 6))\n",
    "plot_list = visualize_model(model_unaware, feature_names=X_train_unaware.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "6659a445",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'demographic_parity': {'total_number_of_approvals': 38241,\n",
       "  'group_0_%': 51.96,\n",
       "  'group_1_%': 48.04},\n",
       " 'equal_opportunity': {'true_positive_rate': 72.82,\n",
       "  'group_0_%': 100.0,\n",
       "  'group_1_%': 63.64},\n",
       " 'equal_accuracy': {'overall_accuracy': 79.38,\n",
       "  'group_0_%': 79.74,\n",
       "  'group_1_%': 79.02},\n",
       " 'confusion_matrix': {'overall_confusion_matrix': [[51264, 10122],\n",
       "   [10495, 28119]],\n",
       "  'group_0': [[30101, 10122], [0, 9747]],\n",
       "  'group_1': [[21163, 0], [10495, 18372]]}}"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# threshold finetuning to further mitigate bias\n",
    "\n",
    "zero_threshold = 0.11\n",
    "one_threshold = 0.99\n",
    "\n",
    "# predict\n",
    "test_probs = model_unaware.predict_proba(X_test_unaware)[:,1]\n",
    "preds_approval = (((test_probs>zero_threshold)*1)*[X_test[\"Group\"]==0] + ((test_probs>one_threshold)*1)*[X_test[\"Group\"]==1])[0]\n",
    "get_fairness_stats(X_test, y_test, model_unaware, X_test[\"Group\"]==1, preds_approval)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e4e64a5",
   "metadata": {},
   "source": [
    "# save "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "6019a56c-5441-4a6d-9531-85f1acf1a1eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'{\"Num_Children\":0.0033091173,\"Income\":0.9495979658,\"Own_Car\":0.0142962172,\"Own_Housing\":0.0327966997}'"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "feature_importances"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "33917637-26b7-4959-9e7d-05747523fc79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['selected_model_metrics.joblib']"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# save selected model and metrics\n",
    "selected_model = model_unaware\n",
    "selected_model_metrics = {'train': train_metrics,\n",
    "                          'test': test_metrics,\n",
    "                          'fairness': fairness_metrics,\n",
    "                          'feature_importances': feature_importances}\n",
    "\n",
    "joblib.dump(selected_model, selected_model_file_path)\n",
    "joblib.dump(selected_model_metrics, selected_model_metrics_file_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "47bf8570-83d2-4ade-8ae2-83b7226ff0b2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Write the dictionary to a file in JSON format\n",
    "class NumpyEncoder(json.JSONEncoder):\n",
    "    \"\"\" Custom encoder for numpy data types \"\"\"\n",
    "    def default(self, obj):\n",
    "        if isinstance(obj, np.integer):\n",
    "            return int(obj)\n",
    "        elif isinstance(obj, np.floating):\n",
    "            return float(obj)\n",
    "        elif isinstance(obj, np.ndarray):\n",
    "            return obj.tolist()\n",
    "        else:\n",
    "            return super(NumpyEncoder, self).default(obj)\n",
    "\n",
    "with open(selected_model_metrics_file_path.replace('joblib','json'), 'w') as file:\n",
    "    json.dump(selected_model_metrics, file,  cls=NumpyEncoder, indent=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d4b09eb6-351d-452e-a3bd-332b7ae591cc",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "2e4de094",
   "metadata": {},
   "source": [
    "# track"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5bf34cda",
   "metadata": {},
   "outputs": [],
   "source": [
    "# track experiment \n",
    "mlflow.set_experiment(experiment_name)\n",
    "mlflow.start_run(run_name=run_name)\n",
    "\n",
    "mlflow.log_params(\n",
    "    {\n",
    "        \"model_type\": model_name,\n",
    "        \"n_features\": X.shape[1],\n",
    "        \"feature_importances\": feature_importances\n",
    "    }\n",
    ")\n",
    "\n",
    "mlflow.log_metric('train_f1', selected_model_metrics['train']['f1'])\n",
    "mlflow.log_metric('test_f1', selected_model_metrics['test']['f1'])\n",
    "   \n",
    "mlflow.log_artifact(f\"{selected_model_file_path}\")\n",
    "\n",
    "mlflow.end_run()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "34de050a",
   "metadata": {},
   "source": [
    "# test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "280dcd91",
   "metadata": {},
   "outputs": [],
   "source": [
    "# NBVAL_CHECK_OUTPUT\n",
    "selected_model_metrics = joblib.load(selected_model_metrics_file_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "175f94e6",
   "metadata": {},
   "outputs": [],
   "source": [
    "# NBVAL_CHECK_OUTPUT\n",
    "# model accuracy\n",
    "threshold_accuracy = 0.9\n",
    "accuracy = selected_model_metrics['test']['accuracy']\n",
    "assert accuracy > threshold_accuracy, 'accuracy {} is below {}'.format(accuracy, threshold_accuracy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "345bd6e8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# NBVAL_CHECK_OUTPUT\n",
    "# fairness\n",
    "equal_opportunity_fairness_threshold_percent = 21\n",
    "equal_opportunity_group_0_percent = selected_model_metrics['fairness']['equal_opportunity']['group_0_%']\n",
    "equal_opportunity_group_1_percent = selected_model_metrics['fairness']['equal_opportunity']['group_1_%']\n",
    "assert abs(equal_opportunity_group_0_percent - equal_opportunity_group_1_percent) < equal_opportunity_fairness_threshold_percent, 'difference exceeds {}%'.format(equal_opportunity_fairness_threshold_percent)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "dd541394-4dbf-4211-a754-863b21b7b0af",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = selected_model_metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "4ac5cb0a-b84e-4f5e-b3bd-78081e307cf8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Performance Metrics Visualization\n",
    "performance_metrics = ['precision', 'recall', 'f1', 'accuracy']\n",
    "train_performance = [data['train'][metric] for metric in performance_metrics]\n",
    "test_performance = [data['test'][metric] for metric in performance_metrics]\n",
    "\n",
    "ind = np.arange(len(performance_metrics))  # the x locations for the groups\n",
    "width = 0.35  # the width of the bars\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "rects1 = ax.bar(ind - width/2, train_performance, width, label='Train')\n",
    "rects2 = ax.bar(ind + width/2, test_performance, width, label='Test')\n",
    "\n",
    "# Add some text for labels, title, and custom x-axis tick labels, etc.\n",
    "ax.set_ylabel('Scores')\n",
    "ax.set_title('Performance Metrics by Train and Test')\n",
    "ax.set_xticks(ind)\n",
    "ax.set_xticklabels(performance_metrics)\n",
    "ax.legend()\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.savefig(\"Performance Metrics by Train and Test.jpg\",  bbox_inches='tight')  # Save plot as JPEG file\n",
    "\n",
    "plt.show()\n",
    "\n",
    "# Fairness Metrics Visualization - Demographic Parity and Equal Opportunity\n",
    "fairness_metrics = ['demographic_parity', 'equal_opportunity', 'equal_accuracy']\n",
    "groups = ['group_0_%', 'group_1_%']\n",
    "fairness_values = {metric: [data['fairness'][metric][group] for group in groups] for metric in fairness_metrics}\n",
    "\n",
    "fig, axs = plt.subplots(1, 3, figsize=(15, 5))\n",
    "for ax, (metric, values) in zip(axs, fairness_values.items()):\n",
    "    ax.bar(groups, values)\n",
    "    ax.set_title(metric)\n",
    "    ax.set_ylabel('Percentage' if metric != 'equal_accuracy' else 'Accuracy %')\n",
    "    ax.set_ylim(0, 100)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"Fairness Metrics Visualization - Demographic Parity and Equal Opportunity.jpg\",  bbox_inches='tight')  # Save plot as JPEG file\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "784d429b-594f-4f3f-b710-bf6d3fa18614",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}