A4_AIE22158_V1.ipynb

{
 "cells": [
  {
   "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"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean of Price per 100g USD: 10.479125200642054\n",
      "Variance of Price per 100g USD: 181.8903819650351\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy of k-NN Classifier (k=3): 0.6818181818181818\n",
      "Confusion Matrix: [[222  58]\n",
      " [ 61  33]]\n",
      "Precision: 0.6784346395653816, Recall: 0.6818181818181818, F1-Score: 0.6800860605478722\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A4 158_V1 CODE.\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from scipy.spatial.distance import minkowski\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "from sklearn.metrics import confusion_matrix, precision_score, recall_score, f1_score\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "file_path ='/Users/krishnavarma/Developer/UG AI MATERIAL /4th SEM COURSE/ML/ML CLG PR.CODES!/A4 ML/simplified_coffee.xlsx'\n",
    "df = pd.read_excel(file_path)\n",
    "df['Quality'] = ['High' if x >= 93 else 'Low' for x in df['rating']]\n",
    "\n",
    "feature_value1, feature_value2 = df['100g_USD'].iloc[0], df['100g_USD'].iloc[1]\n",
    "\n",
    "def compute_category_centroids(grouped_data):\n",
    "    category_centroids = {}\n",
    "    for category_label, group_data in grouped_data:\n",
    "        category_mean = group_data['100g_USD'].mean()\n",
    "        category_centroids[category_label] = category_mean\n",
    "    return category_centroids\n",
    "\n",
    "def calculate_category_std_devs(grouped_data):\n",
    "    category_std_devs = {}\n",
    "    for category_label, group_data in grouped_data:\n",
    "        category_std = group_data['100g_USD'].std()\n",
    "        category_std_devs[category_label] = category_std\n",
    "    return category_std_devs\n",
    "\n",
    "grouped_data = df.groupby('Quality')\n",
    "\n",
    "category_centroids = compute_category_centroids(grouped_data)\n",
    "category_std_devs = calculate_category_std_devs(grouped_data)\n",
    "\n",
    "plt.hist(df['100g_USD'], bins=5, edgecolor='black', alpha=0.7)\n",
    "plt.xlabel('Price per 100g USD')\n",
    "plt.ylabel('Frequency')\n",
    "plt.title('Distribution of Price per 100g USD')\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "mean_price = np.mean(df['100g_USD'])\n",
    "variance_price = np.var(df['100g_USD'], ddof=1)\n",
    "\n",
    "print(f\"Mean of Price per 100g USD: {mean_price}\")\n",
    "print(f\"Variance of Price per 100g USD: {variance_price}\")\n",
    "\n",
    "rs = range(1, 11)\n",
    "distances = [minkowski([feature_value1], [feature_value2], r) for r in rs]\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(rs, distances, marker='o', linestyle='-', color='blue')\n",
    "plt.xlabel('Value of r (Minkowski parameter)')\n",
    "plt.ylabel('Minkowski Distance')\n",
    "plt.title('Minkowski Distance between Two Feature Vectors for r=1 to 10')\n",
    "plt.grid(True)\n",
    "plt.show()\n",
    "\n",
    "X = df[['100g_USD']]  \n",
    "y = df['Quality']  \n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.3, random_state=42)\n",
    "\n",
    "knn_classifier = KNeighborsClassifier(n_neighbors=3)\n",
    "knn_classifier.fit(X_train, y_train)\n",
    "knn_accuracy = knn_classifier.score(X_test, y_test)\n",
    "y_pred = knn_classifier.predict(X_test)\n",
    "confusion_mat = confusion_matrix(y_test, y_pred)\n",
    "precision = precision_score(y_test, y_pred, average='weighted')\n",
    "recall = recall_score(y_test, y_pred, average='weighted')\n",
    "f1 = f1_score(y_test, y_pred, average='weighted')\n",
    "\n",
    "print(f'Accuracy of k-NN Classifier (k=3): {knn_accuracy}')\n",
    "print('Confusion Matrix:', confusion_mat)\n",
    "print(f'Precision: {precision}, Recall: {recall}, F1-Score: {f1}')\n",
    "\n",
    "ks = range(1, 12)\n",
    "accuracies = []\n",
    "for k in ks:\n",
    "    classifier = KNeighborsClassifier(n_neighbors=k)\n",
    "    classifier.fit(X_train, y_train)\n",
    "    accuracies.append(classifier.score(X_test, y_test))\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(ks, accuracies, marker='o', linestyle='-', color='red')\n",
    "plt.xlabel('Number of Neighbors (k)')\n",
    "plt.ylabel('Accuracy')\n",
    "plt.title('Accuracy Variation for k-NN Classifier with Different k')\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
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