Files/Machine-Learning-Course/HW3/src/Q3.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Read Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.model_selection import GridSearchCV, train_test_split, RandomizedSearchCV\n",
    "from sklearn.metrics import roc_auc_score, accuracy_score, roc_curve, auc\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.ensemble import BaggingClassifier\n",
    "sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "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>SeriousDlqin2yrs</th>\n",
       "      <th>age</th>\n",
       "      <th>NumberOfTime30-59DaysPastDueNotWorse</th>\n",
       "      <th>DebtRatio</th>\n",
       "      <th>NumberOfTimes90DaysLate</th>\n",
       "      <th>NumberOfTime60-89DaysPastDueNotWorse</th>\n",
       "      <th>MonthlyIncome</th>\n",
       "      <th>NumberOfDependents</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>64</td>\n",
       "      <td>0</td>\n",
       "      <td>0.249908</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>8158.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>58</td>\n",
       "      <td>0</td>\n",
       "      <td>3870.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>0</td>\n",
       "      <td>0.456127</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6666.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>43</td>\n",
       "      <td>0</td>\n",
       "      <td>0.000190</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10500.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>49</td>\n",
       "      <td>0</td>\n",
       "      <td>0.271820</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>400.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   SeriousDlqin2yrs  age  NumberOfTime30-59DaysPastDueNotWorse    DebtRatio  \\\n",
       "0                 0   64                                     0     0.249908   \n",
       "1                 0   58                                     0  3870.000000   \n",
       "2                 0   41                                     0     0.456127   \n",
       "3                 0   43                                     0     0.000190   \n",
       "4                 1   49                                     0     0.271820   \n",
       "\n",
       "   NumberOfTimes90DaysLate  NumberOfTime60-89DaysPastDueNotWorse  \\\n",
       "0                        0                                     0   \n",
       "1                        0                                     0   \n",
       "2                        0                                     0   \n",
       "3                        0                                     0   \n",
       "4                        0                                     0   \n",
       "\n",
       "   MonthlyIncome  NumberOfDependents  \n",
       "0         8158.0                 0.0  \n",
       "1            NaN                 0.0  \n",
       "2         6666.0                 0.0  \n",
       "3        10500.0                 2.0  \n",
       "4          400.0                 0.0  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"../data/credit_scoring_sample.csv\", sep=';')\n",
    "\n",
    "target = \"SeriousDlqin2yrs\"\n",
    "    \n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## EDA and Preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(df[target])\n",
    "plt.title('Target feature distribution')\n",
    "plt.savefig('../assets/Q3_hist.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "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>SeriousDlqin2yrs</th>\n",
       "      <th>age</th>\n",
       "      <th>NumberOfTime30-59DaysPastDueNotWorse</th>\n",
       "      <th>DebtRatio</th>\n",
       "      <th>NumberOfTimes90DaysLate</th>\n",
       "      <th>NumberOfTime60-89DaysPastDueNotWorse</th>\n",
       "      <th>MonthlyIncome</th>\n",
       "      <th>NumberOfDependents</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>64</td>\n",
       "      <td>0</td>\n",
       "      <td>0.249908</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>8158.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>58</td>\n",
       "      <td>0</td>\n",
       "      <td>3870.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>5166.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>41</td>\n",
       "      <td>0</td>\n",
       "      <td>0.456127</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6666.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>43</td>\n",
       "      <td>0</td>\n",
       "      <td>0.000190</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10500.0</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>49</td>\n",
       "      <td>0</td>\n",
       "      <td>0.271820</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>400.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   SeriousDlqin2yrs  age  NumberOfTime30-59DaysPastDueNotWorse    DebtRatio  \\\n",
       "0                 0   64                                     0     0.249908   \n",
       "1                 0   58                                     0  3870.000000   \n",
       "2                 0   41                                     0     0.456127   \n",
       "3                 0   43                                     0     0.000190   \n",
       "4                 1   49                                     0     0.271820   \n",
       "\n",
       "   NumberOfTimes90DaysLate  NumberOfTime60-89DaysPastDueNotWorse  \\\n",
       "0                        0                                     0   \n",
       "1                        0                                     0   \n",
       "2                        0                                     0   \n",
       "3                        0                                     0   \n",
       "4                        0                                     0   \n",
       "\n",
       "   MonthlyIncome  NumberOfDependents  \n",
       "0         8158.0                 0.0  \n",
       "1         5166.0                 0.0  \n",
       "2         6666.0                 0.0  \n",
       "3        10500.0                 2.0  \n",
       "4          400.0                 0.0  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "for col in df.columns:\n",
    "    df[col].fillna(df[col].median(), inplace=True)\n",
    "df.head()   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def normalize(df):\n",
    "    for feature in df.select_dtypes([int, float]).columns:\n",
    "        df.loc[:, feature] = (df[feature] - df[feature].mean()) / df[feature].std()\n",
    "    return df\n",
    "\n",
    "X = normalize(df.drop(target, axis=1))\n",
    "y = df[target]\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bootstrapping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original mean: 51.21\n",
      "Bootstrap standard deviation: 0.07\n",
      "90% bootstrap confidence interval: (51.10, 51.32)\n"
     ]
    }
   ],
   "source": [
    "data = df['age']\n",
    "\n",
    "n_bootstrap = 1000\n",
    "\n",
    "original_mean = np.mean(data)\n",
    "\n",
    "bootstrap_means = []\n",
    "for _ in range(n_bootstrap):\n",
    "\n",
    "    bootstrap_sample = np.random.choice(data, size=len(data), replace=True)\n",
    "    \n",
    "    bootstrap_means.append(\n",
    "        np.mean(bootstrap_sample)\n",
    "    )\n",
    "\n",
    "bootstrap_std = np.std(bootstrap_means)\n",
    "\n",
    "ci_lower = np.percentile(bootstrap_means, 5)\n",
    "ci_upper = np.percentile(bootstrap_means, 95)\n",
    "\n",
    "print(f\"Original mean: {original_mean:.2f}\")\n",
    "print(f\"Bootstrap standard deviation: {bootstrap_std:.2f}\")\n",
    "print(f\"90% bootstrap confidence interval: ({ci_lower:.2f}, {ci_upper:.2f})\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Forest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best Parameters: {'max_depth': 15, 'max_features': 2, 'min_samples_leaf': 3}\n"
     ]
    }
   ],
   "source": [
    "param_grid = {\n",
    "    'max_features': [1, 2, 4],  \n",
    "    'min_samples_leaf': [3, 5, 7, 9],\n",
    "    'max_depth': [5, 10, 15]\n",
    "}\n",
    "\n",
    "random_forest = RandomForestClassifier(\n",
    "    random_state=42, \n",
    "    n_estimators=100,\n",
    "    class_weight='balanced'\n",
    ")\n",
    "\n",
    "grid_search = GridSearchCV(\n",
    "    estimator=random_forest, \n",
    "    param_grid=param_grid, \n",
    "    cv=5, \n",
    "    n_jobs=-1\n",
    ")\n",
    "\n",
    "grid_search.fit(X_train, y_train)\n",
    "\n",
    "print(\"Best Parameters:\", grid_search.best_params_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plt_roc(y_true, y_score, title):\n",
    "    \n",
    "    fpr, tpr, thresholds = roc_curve(y_true, y_score)\n",
    "    \n",
    "    roc_auc = roc_auc_score(y_true, y_score)\n",
    "    \n",
    "    plt.figure(figsize=(8, 6))\n",
    "    plt.plot(fpr, tpr, color='darkorange', lw=2, label='ROC curve (AUC = %0.2f)' % roc_auc)\n",
    "    plt.plot([0, 1], [0, 1], color='navy', lw=2, linestyle='--', label='Random classifier')\n",
    "    plt.xlim([0.0, 1.0])\n",
    "    plt.ylim([0.0, 1.05])\n",
    "    plt.xlabel('False Positive Rate')\n",
    "    plt.ylabel('True Positive Rate')\n",
    "    plt.title(title + ' - Receiver Operating Characteristic (ROC) Curve')\n",
    "    plt.legend(loc=\"lower right\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ROC AUC: 0.82\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_score = grid_search.predict_proba(X_test)[:, 1]\n",
    "\n",
    "roc_auc = roc_auc_score(y_test, y_score)\n",
    "\n",
    "print(f\"ROC AUC: {roc_auc:.2f}\")\n",
    "\n",
    "\n",
    "plt_roc(y_test, y_score, 'Random Forest')\n",
    "plt.savefig('../assets/Q3_rf.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Least important feature: NumberOfDependents\n"
     ]
    }
   ],
   "source": [
    "feature_importances = grid_search.best_estimator_.feature_importances_\n",
    "least_important_feature = X.columns[feature_importances.argmin()]\n",
    "print(\"Least important feature: \" + least_important_feature)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bagging"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best hyperparameters: {'max_samples': 0.7, 'max_features': 4, 'estimator__C': 10}\n"
     ]
    }
   ],
   "source": [
    "parameters = {\n",
    "    'max_features': [2, 3, 4],\n",
    "    'max_samples': [0.5, 0.7, 0.9],\n",
    "    'estimator__C': [0.0001, 0.001, 0.01, 0.1, 1, 10, 100]\n",
    "}\n",
    "\n",
    "estimator = LogisticRegression(random_state=42)\n",
    "\n",
    "bagging = BaggingClassifier(\n",
    "    estimator=estimator,\n",
    "    n_jobs=-1,\n",
    "    n_estimators=100,\n",
    "    random_state=42\n",
    ")\n",
    "\n",
    "grid_search = RandomizedSearchCV(\n",
    "    estimator=bagging,\n",
    "    param_distributions=parameters,\n",
    "    cv=5,\n",
    "    n_iter=20\n",
    ")\n",
    "\n",
    "grid_search.fit(X_train, y_train)\n",
    "\n",
    "best_params = grid_search.best_params_\n",
    "\n",
    "print(\"Best hyperparameters:\", best_params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ROC AUC: 0.76\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_score = grid_search.predict_proba(X_test)[:, 1]\n",
    "\n",
    "roc_auc = roc_auc_score(y_test, y_score)\n",
    "\n",
    "print(f\"ROC AUC: {roc_auc:.2f}\")\n",
    "\n",
    "\n",
    "plt_roc(y_test, y_score, 'Bagging')\n",
    "plt.savefig('../assets/Q3_bagging.png')\n",
    "plt.show()"
   ]
  }
 ],
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