{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6195afff",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Q4B: K-Medoids on the credit card dataset; choose k by silhouette score.\n",
    "# Source: https://www.kaggle.com/datasets/arjunbhasin2013/ccdata\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.impute import SimpleImputer\n",
    "from sklearn.metrics import pairwise_distances, silhouette_score\n",
    "from sklearn.preprocessing import StandardScaler\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ad93060f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Full dataset: (8950, 18) Clustering sample: (800, 18)\n",
      "Missing values in full dataset: 314\n"
     ]
    }
   ],
   "source": [
    "# Read the downloaded CSV. Sample reproducibly because exact pairwise\n",
    "# distances over all 8,950 customers would use substantial memory.\n",
    "credit = pd.read_csv(\"CC GENERAL.csv\")\n",
    "sample = credit.sample(n=800, random_state=42).reset_index(drop=True)\n",
    "numeric = sample.drop(columns=[\"CUST_ID\"])\n",
    "X = SimpleImputer(strategy=\"median\").fit_transform(numeric)\n",
    "X_scaled = StandardScaler().fit_transform(X)\n",
    "distances = pairwise_distances(X_scaled, metric=\"euclidean\")\n",
    "print(\"Full dataset:\", credit.shape, \"Clustering sample:\", sample.shape)\n",
    "print(\"Missing values in full dataset:\", credit.isna().sum().sum())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "815e0665",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Alternating K-Medoids: each medoid is an actual customer record.\n",
    "# Start with far-apart records, assign to nearest medoid, then minimize\n",
    "# the sum of within-cluster distances. This uses no extra package.\n",
    "def fit_kmedoids(distance_matrix, n_clusters, max_iter=30):\n",
    "    n = len(distance_matrix)\n",
    "    medoids = [int(np.argmin(distance_matrix.sum(axis=1)))]\n",
    "    while len(medoids) < n_clusters:\n",
    "        nearest = distance_matrix[:, medoids].min(axis=1)\n",
    "        nearest[medoids] = -1\n",
    "        medoids.append(int(np.argmax(nearest)))\n",
    "    for _ in range(max_iter):\n",
    "        labels = np.argmin(distance_matrix[:, medoids], axis=1)\n",
    "        new_medoids = []\n",
    "        for cluster in range(n_clusters):\n",
    "            members = np.flatnonzero(labels == cluster)\n",
    "            if len(members) == 0:\n",
    "                raise ValueError(\"Empty cluster; try a smaller k\")\n",
    "            totals = distance_matrix[np.ix_(members, members)].sum(axis=1)\n",
    "            new_medoids.append(int(members[np.argmin(totals)]))\n",
    "        if new_medoids == medoids:\n",
    "            break\n",
    "        medoids = new_medoids\n",
    "    labels = np.argmin(distance_matrix[:, medoids], axis=1)\n",
    "    return labels, medoids\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "88feaa74",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "k=2: silhouette=0.812\n",
      "k=3: silhouette=0.750\n",
      "k=4: silhouette=0.312\n",
      "k=5: silhouette=0.316\n",
      "k=6: silhouette=0.295\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The highest average silhouette score determines k for this sample.\n",
    "k_values = range(2, 7)\n",
    "scores = []\n",
    "for k in k_values:\n",
    "    labels, _ = fit_kmedoids(distances, k)\n",
    "    score = silhouette_score(distances, labels, metric=\"precomputed\")\n",
    "    scores.append(score)\n",
    "    print(f\"k={k}: silhouette={score:.3f}\")\n",
    "best_k = list(k_values)[int(np.argmax(scores))]\n",
    "plt.figure(figsize=(7, 4))\n",
    "plt.plot(list(k_values), scores, marker=\"o\")\n",
    "plt.axvline(best_k, color=\"crimson\", linestyle=\"--\", label=f\"Best k={best_k}\")\n",
    "plt.xlabel(\"Number of clusters (k)\")\n",
    "plt.ylabel(\"Average silhouette score\")\n",
    "plt.title(\"Credit card K-Medoids silhouette selection\")\n",
    "plt.legend()\n",
    "plt.grid(alpha=0.3)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8bd14383",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cluster sizes: {0: 798, 1: 2}\n",
      "Medoid customer IDs: ['C16594', 'C10574']\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show the selected medoids and a two-dimensional view of the clusters.\n",
    "labels, medoids = fit_kmedoids(distances, best_k)\n",
    "print(\"Cluster sizes:\", pd.Series(labels).value_counts().sort_index().to_dict())\n",
    "print(\"Medoid customer IDs:\", sample.loc[medoids, \"CUST_ID\"].tolist())\n",
    "points_2d = PCA(n_components=2).fit_transform(X_scaled)\n",
    "plt.figure(figsize=(7, 5))\n",
    "plt.scatter(points_2d[:, 0], points_2d[:, 1], c=labels, cmap=\"tab10\", s=15, alpha=0.7)\n",
    "plt.scatter(points_2d[medoids, 0], points_2d[medoids, 1],\n",
    "            c=\"black\", marker=\"X\", s=140, label=\"Medoids\")\n",
    "plt.xlabel(\"Principal component 1\")\n",
    "plt.ylabel(\"Principal component 2\")\n",
    "plt.title(f\"Credit card customer clusters (k={best_k})\")\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  }
 ],
 "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": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
