sept_2013_euro_card.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.ensemble import RandomForestClassifier, GradientBoostingClassifier\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import confusion_matrix, classification_report\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "from scipy.io.arff import loadarff\n",
    "%matplotlib inline\n",
    "sns.set_theme()\n",
    "\n",
    "\n",
    "data_dir = './data/'\n",
    "seed = 42"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " # Load September 2013 European Cardholders"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cardholders Transactions (284807, 31)\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></th>\n",
       "      <th>Time</th>\n",
       "      <th>V1</th>\n",
       "      <th>V2</th>\n",
       "      <th>V3</th>\n",
       "      <th>V4</th>\n",
       "      <th>V5</th>\n",
       "      <th>V6</th>\n",
       "      <th>V7</th>\n",
       "      <th>V8</th>\n",
       "      <th>V9</th>\n",
       "      <th>...</th>\n",
       "      <th>V21</th>\n",
       "      <th>V22</th>\n",
       "      <th>V23</th>\n",
       "      <th>V24</th>\n",
       "      <th>V25</th>\n",
       "      <th>V26</th>\n",
       "      <th>V27</th>\n",
       "      <th>V28</th>\n",
       "      <th>amount</th>\n",
       "      <th>fraud</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>-1.359807</td>\n",
       "      <td>-0.072781</td>\n",
       "      <td>2.536347</td>\n",
       "      <td>1.378155</td>\n",
       "      <td>-0.338321</td>\n",
       "      <td>0.462388</td>\n",
       "      <td>0.239599</td>\n",
       "      <td>0.098698</td>\n",
       "      <td>0.363787</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.018307</td>\n",
       "      <td>0.277838</td>\n",
       "      <td>-0.110474</td>\n",
       "      <td>0.066928</td>\n",
       "      <td>0.128539</td>\n",
       "      <td>-0.189115</td>\n",
       "      <td>0.133558</td>\n",
       "      <td>-0.021053</td>\n",
       "      <td>149.62</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0</td>\n",
       "      <td>1.191857</td>\n",
       "      <td>0.266151</td>\n",
       "      <td>0.166480</td>\n",
       "      <td>0.448154</td>\n",
       "      <td>0.060018</td>\n",
       "      <td>-0.082361</td>\n",
       "      <td>-0.078803</td>\n",
       "      <td>0.085102</td>\n",
       "      <td>-0.255425</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.225775</td>\n",
       "      <td>-0.638672</td>\n",
       "      <td>0.101288</td>\n",
       "      <td>-0.339846</td>\n",
       "      <td>0.167170</td>\n",
       "      <td>0.125895</td>\n",
       "      <td>-0.008983</td>\n",
       "      <td>0.014724</td>\n",
       "      <td>2.69</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-1.358354</td>\n",
       "      <td>-1.340163</td>\n",
       "      <td>1.773209</td>\n",
       "      <td>0.379780</td>\n",
       "      <td>-0.503198</td>\n",
       "      <td>1.800499</td>\n",
       "      <td>0.791461</td>\n",
       "      <td>0.247676</td>\n",
       "      <td>-1.514654</td>\n",
       "      <td>...</td>\n",
       "      <td>0.247998</td>\n",
       "      <td>0.771679</td>\n",
       "      <td>0.909412</td>\n",
       "      <td>-0.689281</td>\n",
       "      <td>-0.327642</td>\n",
       "      <td>-0.139097</td>\n",
       "      <td>-0.055353</td>\n",
       "      <td>-0.059752</td>\n",
       "      <td>378.66</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.0</td>\n",
       "      <td>-0.966272</td>\n",
       "      <td>-0.185226</td>\n",
       "      <td>1.792993</td>\n",
       "      <td>-0.863291</td>\n",
       "      <td>-0.010309</td>\n",
       "      <td>1.247203</td>\n",
       "      <td>0.237609</td>\n",
       "      <td>0.377436</td>\n",
       "      <td>-1.387024</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.108300</td>\n",
       "      <td>0.005274</td>\n",
       "      <td>-0.190321</td>\n",
       "      <td>-1.175575</td>\n",
       "      <td>0.647376</td>\n",
       "      <td>-0.221929</td>\n",
       "      <td>0.062723</td>\n",
       "      <td>0.061458</td>\n",
       "      <td>123.50</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.0</td>\n",
       "      <td>-1.158233</td>\n",
       "      <td>0.877737</td>\n",
       "      <td>1.548718</td>\n",
       "      <td>0.403034</td>\n",
       "      <td>-0.407193</td>\n",
       "      <td>0.095921</td>\n",
       "      <td>0.592941</td>\n",
       "      <td>-0.270533</td>\n",
       "      <td>0.817739</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.009431</td>\n",
       "      <td>0.798278</td>\n",
       "      <td>-0.137458</td>\n",
       "      <td>0.141267</td>\n",
       "      <td>-0.206010</td>\n",
       "      <td>0.502292</td>\n",
       "      <td>0.219422</td>\n",
       "      <td>0.215153</td>\n",
       "      <td>69.99</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 31 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Time        V1        V2        V3        V4        V5        V6        V7  \\\n",
       "0   0.0 -1.359807 -0.072781  2.536347  1.378155 -0.338321  0.462388  0.239599   \n",
       "1   0.0  1.191857  0.266151  0.166480  0.448154  0.060018 -0.082361 -0.078803   \n",
       "2   1.0 -1.358354 -1.340163  1.773209  0.379780 -0.503198  1.800499  0.791461   \n",
       "3   1.0 -0.966272 -0.185226  1.792993 -0.863291 -0.010309  1.247203  0.237609   \n",
       "4   2.0 -1.158233  0.877737  1.548718  0.403034 -0.407193  0.095921  0.592941   \n",
       "\n",
       "         V8        V9  ...       V21       V22       V23       V24       V25  \\\n",
       "0  0.098698  0.363787  ... -0.018307  0.277838 -0.110474  0.066928  0.128539   \n",
       "1  0.085102 -0.255425  ... -0.225775 -0.638672  0.101288 -0.339846  0.167170   \n",
       "2  0.247676 -1.514654  ...  0.247998  0.771679  0.909412 -0.689281 -0.327642   \n",
       "3  0.377436 -1.387024  ... -0.108300  0.005274 -0.190321 -1.175575  0.647376   \n",
       "4 -0.270533  0.817739  ... -0.009431  0.798278 -0.137458  0.141267 -0.206010   \n",
       "\n",
       "        V26       V27       V28  amount  fraud  \n",
       "0 -0.189115  0.133558 -0.021053  149.62      0  \n",
       "1  0.125895 -0.008983  0.014724    2.69      0  \n",
       "2 -0.139097 -0.055353 -0.059752  378.66      0  \n",
       "3 -0.221929  0.062723  0.061458  123.50      0  \n",
       "4  0.502292  0.219422  0.215153   69.99      0  \n",
       "\n",
       "[5 rows x 31 columns]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arff = loadarff(f'{data_dir}September 2013 by european cardholders.arff')\n",
    "cardholders = pd.DataFrame(arff[0])\n",
    "print(f'Cardholders Transactions {cardholders.shape}')\n",
    "# convert Class to int\n",
    "cardholders.Class = cardholders.Class.str.decode('utf-8').astype(int)\n",
    "cardholders = cardholders.rename(columns={'Class': 'fraud', 'Amount': 'amount'})\n",
    "cardholders.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fraud distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# Fraud \n",
    "fraud = cardholders.fraud.value_counts()\n",
    "fig, ax = plt.subplots()\n",
    "bars = ax.bar(['Not Fraud', 'Fraud'],fraud.values, color=['#1f77b4', '#d62728'])\n",
    "\n",
    "# Add labels to the top of each bar\n",
    "ax.bar_label(bars, labels=fraud.values, label_type='edge', color='black', fontsize=10, weight='bold')\n",
    "\n",
    "# Customize the plot\n",
    "ax.set_ylabel('Count')\n",
    "ax.set_title('Count of Fraud Payments')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Amount Distribution - Max 25691.16')"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.kdeplot(data=cardholders, x='amount', fill=True, alpha=0.1, linewidth=1)\n",
    "plt.xlabel('Amount')\n",
    "plt.ylabel('Density')\n",
    "max_amount = max(cardholders.amount)\n",
    "plt.title(f'Amount Distribution - Max {max_amount}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "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 640x480 with 1 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": [
    "fraud = cardholders.loc[cardholders.fraud == 1]\n",
    "not_fraud = cardholders.loc[cardholders.fraud == 0]\n",
    "\n",
    "sns.kdeplot(data=fraud, x='amount', fill=True, color='#d62728', alpha=0.1, linewidth=1)\n",
    "plt.xlabel('Amount')\n",
    "plt.ylabel('Density')\n",
    "max_amount = max(fraud.amount)\n",
    "plt.title(f'Fraud Amount Distribution - Max {max_amount}')\n",
    "plt.show()\n",
    "\n",
    "plt.hist(not_fraud.amount, alpha=0.5,label='Not Fraud', bins=100, color='#1f77b4')\n",
    "plt.hist(fraud.amount, alpha=0.5,label='Fraud', bins=100, color='#d62728')\n",
    "plt.title('Amount Histogram split by Fraud')\n",
    "plt.xlabel('Amount')\n",
    "plt.ylabel('Count')\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.hist(not_fraud.amount, alpha=0.5,label='Not Fraud', bins=100, color='#1f77b4')\n",
    "plt.hist(fraud.amount, alpha=0.5,label='Fraud', bins=100, color='#d62728')\n",
    "plt.ylim(0,10000)\n",
    "plt.xlim(0,1000)\n",
    "plt.title('Zoomed in Amount Histogram split by Fraud')\n",
    "plt.xlabel('Amount')\n",
    "plt.ylabel('Count')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Split Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time      124592\n",
      "V1        275663\n",
      "V2        275663\n",
      "V3        275663\n",
      "V4        275663\n",
      "V5        275663\n",
      "V6        275663\n",
      "V7        275663\n",
      "V8        275663\n",
      "V9        275663\n",
      "V10       275663\n",
      "V11       275663\n",
      "V12       275663\n",
      "V13       275663\n",
      "V14       275663\n",
      "V15       275663\n",
      "V16       275663\n",
      "V17       275663\n",
      "V18       275663\n",
      "V19       275663\n",
      "V20       275663\n",
      "V21       275663\n",
      "V22       275663\n",
      "V23       275663\n",
      "V24       275663\n",
      "V25       275663\n",
      "V26       275663\n",
      "V27       275663\n",
      "V28       275663\n",
      "amount     32767\n",
      "fraud          2\n",
      "dtype: int64\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Time      float64\n",
       "V1        float64\n",
       "V2        float64\n",
       "V3        float64\n",
       "V4        float64\n",
       "V5        float64\n",
       "V6        float64\n",
       "V7        float64\n",
       "V8        float64\n",
       "V9        float64\n",
       "V10       float64\n",
       "V11       float64\n",
       "V12       float64\n",
       "V13       float64\n",
       "V14       float64\n",
       "V15       float64\n",
       "V16       float64\n",
       "V17       float64\n",
       "V18       float64\n",
       "V19       float64\n",
       "V20       float64\n",
       "V21       float64\n",
       "V22       float64\n",
       "V23       float64\n",
       "V24       float64\n",
       "V25       float64\n",
       "V26       float64\n",
       "V27       float64\n",
       "V28       float64\n",
       "amount    float64\n",
       "fraud       int64\n",
       "dtype: object"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def label_encode(data, cat_cols):\n",
    "    label_encoders = {}\n",
    "    for col in cat_cols:\n",
    "        label_encoders[col] = LabelEncoder()\n",
    "        data[col] = label_encoders[col].fit_transform(data[col])\n",
    "    return label_encoders\n",
    "\n",
    "def label_decode(data, encoders):\n",
    "    for col, encoder in encoders.items():\n",
    "        data[col] = encoder.inverse_transform(data[col])\n",
    "\n",
    "# Clean up data\n",
    "data = cardholders\n",
    "print(data.nunique())\n",
    "\n",
    "# Split data\n",
    "X = data.drop(['fraud'], axis=1)\n",
    "y = data['fraud']\n",
    "X_train, X_test, y_train, y_test = train_test_split(X,y,test_size=0.3, random_state=seed, shuffle=True, stratify=y)\n",
    "data.dtypes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Create Random Forest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "rand_forest = RandomForestClassifier(random_state=seed)\n",
    "rand_forest.fit(X_train, y_train)\n",
    "y_pred = rand_forest.predict(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Evaluate Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              precision    recall  f1-score   support\n",
      "\n",
      "           0       1.00      1.00      1.00     85295\n",
      "           1       0.96      0.76      0.85       148\n",
      "\n",
      "    accuracy                           1.00     85443\n",
      "   macro avg       0.98      0.88      0.92     85443\n",
      "weighted avg       1.00      1.00      1.00     85443\n",
      "\n"
     ]
    }
   ],
   "source": [
    "cm = confusion_matrix(y_test, y_pred)\n",
    "\n",
    "# Create a DataFrame from the confusion matrix for better visualization\n",
    "cm_df = pd.DataFrame(cm, index=['Actual Not Fraud', 'Actual Fraud'], columns=['Predicted Not Fraud', 'Predicted Fraud'])\n",
    "\n",
    "# Plot the heatmap using seaborn\n",
    "plt.figure(figsize=(8, 6))\n",
    "sns.heatmap(cm_df, annot=True, fmt='d', cbar=False)\n",
    "plt.title('Confusion Matrix')\n",
    "plt.xlabel('Predicted Label')\n",
    "plt.ylabel('True Label')\n",
    "plt.show()\n",
    "\n",
    "print(classification_report(y_test,y_pred))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "env",
   "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": "3.11.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}