new_dataset_heart_failure.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "242ace55-6b34-4788-899d-7777fd07ce2b",
   "metadata": {},
   "source": [
    "# Fooling LIME and SHAP\n",
    "## New Datasets (5)\n",
    "\n",
    "Find at least two further (tabular) datasets with a risk of discrimination (that are not mentioned in the paper and study the impact of fooling on them."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e675632-c814-4a54-a2c1-d59f1e6f8683",
   "metadata": {},
   "source": [
    "Gender discrimination dataset: https://www.kaggle.com/hjmjerry/gender-discrimination"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "75b788b0-204f-4e1c-a0be-81e131265da3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "import pandas as pd\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import MinMaxScaler, LabelEncoder\n",
    "\n",
    "from fooling_LIME_SHAP_Interface.adversarial_model_toolbox import AdversarialModelToolbox\n",
    "from fooling_LIME_SHAP_Interface.util.explainer_type import ExplainerType\n",
    "from fooling_LIME_SHAP_Interface.util.ml_type import MLType"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54c2fcbc-ec91-43c4-9def-06efa786ca80",
   "metadata": {},
   "source": [
    "First we define all the neccessary variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "eed3073a-747e-4186-b8e9-3765aae6a763",
   "metadata": {},
   "outputs": [],
   "source": [
    "TRAIN_TEST_SPLIT = 0.2\n",
    "SEED = 666\n",
    "\n",
    "dataset_name = 'heart_failure_clinical_records_dataset'\n",
    "input_ids = list(range(1, 12))\n",
    "categorical_input_ids = [1, 3, 5, 9, 10]\n",
    "output_id = 12\n",
    "biased_id = 9  # sex\n",
    "\n",
    "categorical_input_ids = [input_ids.index(cat_id) for cat_id in categorical_input_ids]\n",
    "biased_id = input_ids.index(biased_id)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72e1d46c-24ce-4766-a3aa-86f2903cdb6c",
   "metadata": {},
   "source": [
    "Loading the dataset and doing some preprocessing. There are two datasets. One Dataset is with the biased feature and the other dataset is unbiased because all rows from the biased feature are set to 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b501f4fa-c8b0-4775-affe-3b0db59293fa",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load dataset\n",
    "lawsuit_df = pd.read_csv(os.path.join(\"datasets\", dataset_name + \".csv\"))\n",
    "lawsuit_df = lawsuit_df.fillna(0)\n",
    "\n",
    "# Split input and output\n",
    "y_df = lawsuit_df.iloc[:, output_id]\n",
    "x_df = lawsuit_df.iloc[:, input_ids]\n",
    "\n",
    "scaler = MinMaxScaler()\n",
    "scaler.fit(x_df.to_numpy())\n",
    "x = scaler.transform(x_df.to_numpy())\n",
    "\n",
    "for idx in categorical_input_ids:\n",
    "    x[idx] = x_df.iloc[idx]\n",
    "    le = LabelEncoder()\n",
    "    x[idx] = le.fit_transform(x[idx])\n",
    "\n",
    "# Create train and test data\n",
    "x_train, x_test, y_train, y_test = train_test_split(x, y_df.to_numpy(), test_size=TRAIN_TEST_SPLIT, random_state=SEED)\n",
    "\n",
    "# Create training data without biased column\n",
    "ux_train = x_train.copy()\n",
    "ux_train[:, biased_id] = 0\n",
    "ux_test = x_test.copy()\n",
    "ux_test[:, biased_id] = 0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e5a546c-fe9d-4dfc-b84a-4b0a14140d1e",
   "metadata": {},
   "source": [
    "Train the biased and unbiased ML model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a16c119f-f9a4-422e-95a2-5553aaea71bf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy of biased model: 0.87\n"
     ]
    }
   ],
   "source": [
    "biased_ml = RandomForestClassifier(random_state=SEED)\n",
    "biased_ml.fit(x_train, y_train)\n",
    "print(\"Accuracy of biased model: {0:3.2}\".format(biased_ml.score(x_test, y_test)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3d33428d-3a3e-4c54-bd25-77a293935c09",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy of unbiased model: 1.0\n"
     ]
    }
   ],
   "source": [
    "unbiased_ml = RandomForestClassifier(random_state=SEED)\n",
    "unbiased_ml.fit(ux_test, y_test)\n",
    "print(\"Accuracy of unbiased model: {0:3.2}\".format(unbiased_ml.score(ux_test, y_test)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e71eb67-a943-4c8f-9681-07a526df6c94",
   "metadata": {},
   "source": [
    "## Get LIME Explanations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "08c4ff86-4032-4598-8ba3-ed91e6cd0dbb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating Lime explanations\n",
      "Original Lime explanation:\n",
      "{'time': -0.10327270050858105, 'serum_creatinine': 0.08220965862264616, 'creatinine_phosphokinase': 0.05475271170078247, 'ejection_fraction': -0.031550919110416076, 'sex=1': -0.01602783340205546, 'smoking=1': -0.007682336506873935, 'diabetes=0': 0.008417482043900278, 'serum_sodium': 0.006268712114660829, 'platelets': -0.003914210813546234, 'anaemia=1': -7.422473652627318e-05, 'high_blood_pressure=0': 0.0021700643203369776, 'sex=0': 0.00439217133172201, 'smoking=0': 0.013585784922426144, 'anaemia=0': 0.00039003480282771104, 'high_blood_pressure=1': -0.0014479487457968415, 'diabetes=1': -0.0049990193939403165}\n",
      "Adversarial Lime explanation:\n",
      "{'serum_sodium': -0.08945500109635024, 'time': -0.089649751760586, 'ejection_fraction': -0.046671548110624725, 'anaemia=1': 0.01434908516492543, 'diabetes=0': -0.015631522576313537, 'platelets': -0.015738868865763693, 'serum_creatinine': -0.016778918474257023, 'smoking=1': -0.0027332428102050453, 'high_blood_pressure=0': 0.004071163663540532, 'creatinine_phosphokinase': 0.0033743566590985884, 'sex=1': -0.00041758747365329364, 'anaemia=0': -0.017905304159737487, 'high_blood_pressure=1': -0.00248000183525716, 'sex=0': 0.00011119255367861499, 'smoking=0': 0.0034145713394679125, 'diabetes=1': 0.010397785299437311}\n",
      "Prediction fidelity between original and adversarial model: 0.92\n"
     ]
    }
   ],
   "source": [
    "adv = AdversarialModelToolbox(biased_model=biased_ml,\n",
    "                              x_train=x_train, \n",
    "                              y_train=y_train, \n",
    "                              x_test=x_test, \n",
    "                              y_test=y_test,\n",
    "                              input_feature_names=lawsuit_df.columns[input_ids].tolist(),\n",
    "                              categorical_feature_indices=categorical_input_ids,\n",
    "                              unbiased_model=unbiased_ml,\n",
    "                              biased_id=biased_id, \n",
    "                              fool_explainer_type=ExplainerType.LIME,\n",
    "                              ml_type=MLType.CLASSIFICATION_BINARY, \n",
    "                              seed=SEED)\n",
    "adv.train()\n",
    "adv.get_explanations(explanation_sample_number=-1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "548110b9-bcf3-4880-9f6e-2b3cbc499f03",
   "metadata": {},
   "source": [
    "## Get SHAP Explanations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "54e78c20-fc0a-48d3-a1a5-950cbadf2fa8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating Shap explanations\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5d6359f7736f4f37bf0a7fa37dea0d20",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/59 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original Shap explanation:\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x424.8 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4d6847131f974ca4800423bfe04904bb",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/59 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial Shap explanation:\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x424.8 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Prediction fidelity between original and adversarial model: 0.92\n"
     ]
    }
   ],
   "source": [
    "adv = AdversarialModelToolbox(biased_model=biased_ml, \n",
    "                              x_train=x_train, \n",
    "                              y_train=y_train,\n",
    "                              x_test=x_test,\n",
    "                              y_test=y_test,\n",
    "                              input_feature_names=lawsuit_df.columns[input_ids].tolist(),\n",
    "                              categorical_feature_indices=categorical_input_ids,\n",
    "                              unbiased_model=unbiased_ml,\n",
    "                              biased_id=biased_id,\n",
    "                              fool_explainer_type=ExplainerType.SHAP,\n",
    "                              ml_type=MLType.CLASSIFICATION_BINARY,\n",
    "                              seed=SEED)\n",
    "adv.train()\n",
    "adv.get_explanations(explanation_sample_number=-1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db69bd57-c192-46c3-9036-1c897d916cb1",
   "metadata": {},
   "source": [
    "## Get PDP Explanations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "607676fc-2151-4b49-8a08-7408648473da",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating PDP explanations\n",
      "Original PDP explanation:\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x684 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adversarial PDP explanation:\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x684 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Prediction fidelity between original and adversarial model: 0.93\n"
     ]
    }
   ],
   "source": [
    "adv = AdversarialModelToolbox(biased_model=biased_ml,\n",
    "                              x_train=x_train, \n",
    "                              y_train=y_train,\n",
    "                              x_test=x_test,\n",
    "                              y_test=y_test,\n",
    "                              input_feature_names=lawsuit_df.columns[input_ids].tolist(),\n",
    "                              categorical_feature_indices=categorical_input_ids,\n",
    "                              unbiased_model=unbiased_ml,\n",
    "                              biased_id=biased_id, \n",
    "                              fool_explainer_type=ExplainerType.PDP,\n",
    "                              ml_type=MLType.CLASSIFICATION_BINARY,\n",
    "                              seed=SEED)\n",
    "adv.train()\n",
    "adv.get_explanations(explanation_sample_number=-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "aed28647-2247-4d5b-983b-453fb7340886",
   "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": "3.9.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}