task1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from warnings import simplefilter\n",
    "from joblib import parallel_backend\n",
    "# ignore all warnings\n",
    "simplefilter(action='ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.naive_bayes import GaussianNB\n",
    "from sklearn.neural_network import MLPClassifier\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.metrics import accuracy_score,ConfusionMatrixDisplay,RocCurveDisplay,classification_report,precision_score,recall_score,f1_score, roc_auc_score, log_loss\n",
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv(\"./archive/data/creditcard_csv.csv\", true_values=[\"'1'\"], false_values=[\"'0'\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import svm\n",
    "\n",
    "def train_test_model(model,X_train,y_train,X_val,y_val, title = '_norm_'):\n",
    "    # tic = time.time()\n",
    "    model.fit(X_train,y_train)\n",
    "    # toc = time.time()\n",
    "    \n",
    "    predictions = model.predict(X_val)\n",
    "    \n",
    "    # time_taken = toc-tic\n",
    "    accuracy = np.round(accuracy_score(y_val,predictions), 3)\n",
    "    precision = np.round(precision_score(y_val,predictions), 3)\n",
    "    recall = np.round(recall_score(y_val,predictions), 3)\n",
    "    f1 = np.round(f1_score(y_val,predictions), 3)\n",
    "    # print('Time taken: ',time_taken)\n",
    "    print('Test size:',len(y_val))\n",
    "    print('Model Accuracy: ',accuracy)\n",
    "    print('Total Precision: ',precision)\n",
    "    print('Total Recall: ',recall)\n",
    "    print('Total F1 Score: ',f1)\n",
    "    # print('Benchmark: \\% of fraudulent detections',np.count_nonzero(predictions)/492)\n",
    "    # print(\"Classification Report:\\n\")\n",
    "    # print(classification_report(y_val,predictions))\n",
    "    # print(\"Area under ROC curve: \", roc_auc_score(y_val, predictions))\n",
    "    print(\"Log loss: \", log_loss(y_val, predictions))\n",
    "    print(\"Confusion Matrix:\\n\")\n",
    "    ConfusionMatrixDisplay.from_estimator(model,X_val,y_val, display_labels=['Normal', 'Fraud'], colorbar=False)\n",
    "    plt.savefig(title + '_CF.png')\n",
    "    plt.show()\n",
    "    print(\"ROC curve:\\n\")\n",
    "    RocCurveDisplay.from_estimator(model,X_val,y_val)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "labels = np.float64(data['Class'].values)\n",
    "features = data.drop(\"Class\", axis=1).to_numpy()\n",
    "\n",
    "# train_features,  temp_features, train_labels, temp_labels = train_test_split(features, labels, train_size=0.7)\n",
    "\n",
    "# val_features, test_features, val_labels, test_labels = train_test_split(temp_features, temp_labels, train_size=0.5)\n",
    "train_features, val_features, train_labels, val_labels = train_test_split(features, labels, train_size=0.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No.of Transactions labeled fraudulent: 492\n"
     ]
    }
   ],
   "source": [
    "print(\"No.of Transactions labeled fraudulent:\", np.count_nonzero(labels))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "359"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.count_nonzero(train_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "133"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.count_nonzero(val_labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### SVM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test size: 85443\n",
      "Model Accuracy:  0.998\n",
      "Total Precision:  0.0\n",
      "Total Recall:  0.0\n",
      "Total F1 Score:  0.0\n",
      "Log loss:  0.056105308811167674\n",
      "Confusion Matrix:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ROC curve:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with parallel_backend('threading', n_jobs=2):\n",
    "    train_test_model(svm.SVC(), train_features, train_labels, val_features, val_labels, title = 'SVM')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### k-NN Classifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test size: 85443\n",
      "Model Accuracy:  0.999\n",
      "Total Precision:  0.929\n",
      "Total Recall:  0.098\n",
      "Total F1 Score:  0.177\n",
      "Log loss:  0.051043175685348066\n",
      "Confusion Matrix:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ROC curve:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "train_test_model(KNeighborsClassifier(weights='distance'), train_features, train_labels, val_features, val_labels, title = 'KNN')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Accuracy is 99%\n",
    "\n",
    "BUT other metrics such as precision recall and F1-score are 0 $\\implies$ the SVM classifier is just labelling everything as 0 (normal)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Logistic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test size: 85443\n",
      "Model Accuracy:  0.999\n",
      "Total Precision:  0.659\n",
      "Total Recall:  0.624\n",
      "Total F1 Score:  0.641\n",
      "Log loss:  0.039231531725102284\n",
      "Confusion Matrix:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ROC curve:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "log_reg = LogisticRegression()\n",
    "train_test_model(log_reg, train_features, train_labels, val_features, val_labels, title = 'LogR_norm')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Naive Bayes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test size: 85443\n",
      "Model Accuracy:  0.993\n",
      "Total Precision:  0.127\n",
      "Total Recall:  0.594\n",
      "Total F1 Score:  0.209\n",
      "Log loss:  0.252262967436678\n",
      "Confusion Matrix:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ROC curve:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.naive_bayes import GaussianNB\n",
    "\n",
    "gnb = GaussianNB()\n",
    "\n",
    "train_test_model(gnb, train_features, train_labels, val_features, val_labels, title = 'GNB_norm')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### MLP Classifier/Neural Network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test size: 85443\n",
      "Model Accuracy:  0.998\n",
      "Total Precision:  0.0\n",
      "Total Recall:  0.0\n",
      "Total F1 Score:  0.0\n",
      "Log loss:  0.056105308811167674\n",
      "Confusion Matrix:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ROC curve:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.neural_network import MLPClassifier\n",
    "\n",
    "mlp = MLPClassifier(activation='relu', solver='sgd', hidden_layer_sizes=(1,))\n",
    "\n",
    "train_test_model(mlp, train_features, train_labels, val_features, val_labels, title = 'MLP_norm')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test size: 85443\n",
      "Model Accuracy:  0.998\n",
      "Total Precision:  0.0\n",
      "Total Recall:  0.0\n",
      "Total F1 Score:  0.0\n",
      "Log loss:  0.056105308811167674\n",
      "Confusion Matrix:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ROC curve:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mlp = MLPClassifier(activation='relu', solver='sgd')\n",
    "\n",
    "train_test_model(mlp, train_features, train_labels, val_features, val_labels, title = 'MLP_deep')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Decision Tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test size: 85443\n",
      "Model Accuracy:  0.999\n",
      "Total Precision:  0.774\n",
      "Total Recall:  0.722\n",
      "Total F1 Score:  0.747\n",
      "Log loss:  0.027419887764856495\n",
      "Confusion Matrix:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ROC curve:\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "\n",
    "dct = DecisionTreeClassifier(criterion='gini')\n",
    "\n",
    "train_test_model(dct, train_features, train_labels, val_features, val_labels, title = 'DCT')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}