{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "42c84162",
   "metadata": {},
   "source": [
    "# Capstone Session 7\n",
    "\n",
    "This notebook is generated from the copied `Capstone_Session_7.pdf` directions and the staged `CC GENERAL.csv` dataset."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82af3c20",
   "metadata": {},
   "source": [
    "## Objective\n",
    "\n",
    "Cluster credit card users using PCA and K-means while preserving the requirement order from the copied PDF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c77931cf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-12T09:28:44.171649Z",
     "iopub.status.busy": "2026-05-12T09:28:44.170651Z",
     "iopub.status.idle": "2026-05-12T09:28:46.185375Z",
     "shell.execute_reply": "2026-05-12T09:28:46.184363Z"
    }
   },
   "outputs": [],
   "source": [
    "from pathlib import Path\n",
    "import json\n",
    "import sys\n",
    "from urllib.parse import quote\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from IPython.display import display\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "IS_COLAB = 'google.colab' in sys.modules\n",
    "GITHUB_REPO_OWNER = 'FrancisBurnet'\n",
    "GITHUB_REPO_NAME = 'francisburnet'\n",
    "GITHUB_REPO_BRANCH = 'main'\n",
    "CAPSTONE_ROOT = Path('Incremental Capstones/Machine Learning Using Python/Capstone Session 7')\n",
    "DATASET_FILENAME = 'CC GENERAL.csv'\n",
    "\n",
    "\n",
    "def build_raw_github_url(relative_path: Path) -> str:\n",
    "    encoded_path = quote(relative_path.as_posix(), safe='/')\n",
    "    return (\n",
    "        f\"https://raw.githubusercontent.com/{GITHUB_REPO_OWNER}/{GITHUB_REPO_NAME}/\"\n",
    "        f\"{GITHUB_REPO_BRANCH}/{encoded_path}\"\n",
    "    )\n",
    "\n",
    "\n",
    "def resolve_capstone_dir() -> Path | None:\n",
    "    current = Path.cwd().resolve()\n",
    "    capstone_parts = CAPSTONE_ROOT.parts\n",
    "    for candidate in [current, *current.parents]:\n",
    "        if len(candidate.parts) >= len(capstone_parts) and candidate.parts[-len(capstone_parts):] == capstone_parts:\n",
    "            return candidate\n",
    "        nested_candidate = candidate / CAPSTONE_ROOT\n",
    "        if nested_candidate.exists():\n",
    "            return nested_candidate\n",
    "    return None\n",
    "\n",
    "\n",
    "CAPSTONE_DIR = resolve_capstone_dir()\n",
    "DATASET_URL = build_raw_github_url(CAPSTONE_ROOT / DATASET_FILENAME)\n",
    "\n",
    "if CAPSTONE_DIR is not None:\n",
    "    OUTPUT_ROOT = CAPSTONE_DIR\n",
    "    OUTPUT_MODE = 'permanent capstone outputs'\n",
    "    OUTPUT_DISPLAY = (CAPSTONE_ROOT / 'outputs').as_posix()\n",
    "else:\n",
    "    runtime_root = Path('/content/capstone-session-7-runtime') if IS_COLAB else Path.cwd().resolve() / 'capstone-session-7-runtime'\n",
    "    OUTPUT_ROOT = runtime_root\n",
    "    OUTPUT_MODE = 'runtime scratch outputs; export final artifacts back into the capstone outputs folder'\n",
    "    OUTPUT_DISPLAY = 'capstone-session-7-runtime/outputs'\n",
    "\n",
    "OUTPUTS_DIR = (OUTPUT_ROOT / 'outputs').resolve()\n",
    "PLOTS_DIR = OUTPUTS_DIR / 'plots'\n",
    "OUTPUTS_DIR.mkdir(parents=True, exist_ok=True)\n",
    "PLOTS_DIR.mkdir(parents=True, exist_ok=True)\n",
    "sns.set_theme(style='whitegrid')\n",
    "pd.set_option('display.max_columns', 100)\n",
    "\n",
    "print('Runtime:', 'Google Colab' if IS_COLAB else 'Notebook runtime')\n",
    "print('Capstone artifact path:', CAPSTONE_ROOT.as_posix())\n",
    "print('Dataset source:', DATASET_URL)\n",
    "print('Output mode:', OUTPUT_MODE)\n",
    "print('Output target:', OUTPUT_DISPLAY)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "44d332e4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-12T09:28:46.189373Z",
     "iopub.status.busy": "2026-05-12T09:28:46.188381Z",
     "iopub.status.idle": "2026-05-12T09:28:46.242293Z",
     "shell.execute_reply": "2026-05-12T09:28:46.240758Z"
    }
   },
   "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>CUST_ID</th>\n",
       "      <th>BALANCE</th>\n",
       "      <th>BALANCE_FREQUENCY</th>\n",
       "      <th>PURCHASES</th>\n",
       "      <th>ONEOFF_PURCHASES</th>\n",
       "      <th>INSTALLMENTS_PURCHASES</th>\n",
       "      <th>CASH_ADVANCE</th>\n",
       "      <th>PURCHASES_FREQUENCY</th>\n",
       "      <th>ONEOFF_PURCHASES_FREQUENCY</th>\n",
       "      <th>PURCHASES_INSTALLMENTS_FREQUENCY</th>\n",
       "      <th>CASH_ADVANCE_FREQUENCY</th>\n",
       "      <th>CASH_ADVANCE_TRX</th>\n",
       "      <th>PURCHASES_TRX</th>\n",
       "      <th>CREDIT_LIMIT</th>\n",
       "      <th>PAYMENTS</th>\n",
       "      <th>MINIMUM_PAYMENTS</th>\n",
       "      <th>PRC_FULL_PAYMENT</th>\n",
       "      <th>TENURE</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>C10001</td>\n",
       "      <td>40.900749</td>\n",
       "      <td>0.818182</td>\n",
       "      <td>95.40</td>\n",
       "      <td>0.00</td>\n",
       "      <td>95.4</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.166667</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.083333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1000.0</td>\n",
       "      <td>201.802084</td>\n",
       "      <td>139.509787</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>C10002</td>\n",
       "      <td>3202.467416</td>\n",
       "      <td>0.909091</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6442.945483</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>7000.0</td>\n",
       "      <td>4103.032597</td>\n",
       "      <td>1072.340217</td>\n",
       "      <td>0.222222</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>C10003</td>\n",
       "      <td>2495.148862</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>773.17</td>\n",
       "      <td>773.17</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>7500.0</td>\n",
       "      <td>622.066742</td>\n",
       "      <td>627.284787</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>C10004</td>\n",
       "      <td>1666.670542</td>\n",
       "      <td>0.636364</td>\n",
       "      <td>1499.00</td>\n",
       "      <td>1499.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>205.788017</td>\n",
       "      <td>0.083333</td>\n",
       "      <td>0.083333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.083333</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>7500.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>C10005</td>\n",
       "      <td>817.714335</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>16.00</td>\n",
       "      <td>16.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.083333</td>\n",
       "      <td>0.083333</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1200.0</td>\n",
       "      <td>678.334763</td>\n",
       "      <td>244.791237</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  CUST_ID      BALANCE  BALANCE_FREQUENCY  PURCHASES  ONEOFF_PURCHASES  \\\n",
       "0  C10001    40.900749           0.818182      95.40              0.00   \n",
       "1  C10002  3202.467416           0.909091       0.00              0.00   \n",
       "2  C10003  2495.148862           1.000000     773.17            773.17   \n",
       "3  C10004  1666.670542           0.636364    1499.00           1499.00   \n",
       "4  C10005   817.714335           1.000000      16.00             16.00   \n",
       "\n",
       "   INSTALLMENTS_PURCHASES  CASH_ADVANCE  PURCHASES_FREQUENCY  \\\n",
       "0                    95.4      0.000000             0.166667   \n",
       "1                     0.0   6442.945483             0.000000   \n",
       "2                     0.0      0.000000             1.000000   \n",
       "3                     0.0    205.788017             0.083333   \n",
       "4                     0.0      0.000000             0.083333   \n",
       "\n",
       "   ONEOFF_PURCHASES_FREQUENCY  PURCHASES_INSTALLMENTS_FREQUENCY  \\\n",
       "0                    0.000000                          0.083333   \n",
       "1                    0.000000                          0.000000   \n",
       "2                    1.000000                          0.000000   \n",
       "3                    0.083333                          0.000000   \n",
       "4                    0.083333                          0.000000   \n",
       "\n",
       "   CASH_ADVANCE_FREQUENCY  CASH_ADVANCE_TRX  PURCHASES_TRX  CREDIT_LIMIT  \\\n",
       "0                0.000000                 0              2        1000.0   \n",
       "1                0.250000                 4              0        7000.0   \n",
       "2                0.000000                 0             12        7500.0   \n",
       "3                0.083333                 1              1        7500.0   \n",
       "4                0.000000                 0              1        1200.0   \n",
       "\n",
       "      PAYMENTS  MINIMUM_PAYMENTS  PRC_FULL_PAYMENT  TENURE  \n",
       "0   201.802084        139.509787          0.000000      12  \n",
       "1  4103.032597       1072.340217          0.222222      12  \n",
       "2   622.066742        627.284787          0.000000      12  \n",
       "3     0.000000               NaN          0.000000      12  \n",
       "4   678.334763        244.791237          0.000000      12  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape: (8950, 18)\n",
      "MINIMUM_PAYMENTS     313\n",
      "CREDIT_LIMIT           1\n",
      "BALANCE                0\n",
      "CUST_ID                0\n",
      "BALANCE_FREQUENCY      0\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "df = pd.read_csv(DATASET_URL)\n",
    "display(df.head())\n",
    "print('Dataset source used:', DATASET_URL)\n",
    "print('Shape:', df.shape)\n",
    "print(df.isna().sum().sort_values(ascending=False).head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0fee5626",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-12T09:28:46.246037Z",
     "iopub.status.busy": "2026-05-12T09:28:46.245014Z",
     "iopub.status.idle": "2026-05-12T09:28:46.259919Z",
     "shell.execute_reply": "2026-05-12T09:28:46.258155Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Remaining null values: 0\n"
     ]
    }
   ],
   "source": [
    "working_df = df.drop(columns=['CUST_ID']).copy()\n",
    "for column in working_df.columns:\n",
    "    if working_df[column].isna().any():\n",
    "        working_df[column] = working_df[column].fillna(working_df[column].median())\n",
    "print('Remaining null values:', int(working_df.isna().sum().sum()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b458b3ad",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-12T09:28:46.263059Z",
     "iopub.status.busy": "2026-05-12T09:28:46.262546Z",
     "iopub.status.idle": "2026-05-12T09:28:46.855604Z",
     "shell.execute_reply": "2026-05-12T09:28:46.853597Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "8"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scaler = StandardScaler()\n",
    "scaled = scaler.fit_transform(working_df)\n",
    "pca_full = PCA()\n",
    "pca_full.fit(scaled)\n",
    "explained = np.cumsum(pca_full.explained_variance_ratio_)\n",
    "components_needed = int(np.argmax(explained >= 0.85) + 1)\n",
    "fig, ax = plt.subplots(figsize=(10, 5))\n",
    "ax.plot(range(1, len(explained) + 1), explained, marker='o')\n",
    "ax.axhline(0.85, color='red', linestyle='--')\n",
    "ax.axvline(components_needed, color='green', linestyle='--')\n",
    "ax.set_title('PCA Cumulative Explained Variance')\n",
    "ax.set_xlabel('Components')\n",
    "ax.set_ylabel('Cumulative Explained Variance')\n",
    "fig.tight_layout()\n",
    "fig.savefig(PLOTS_DIR / 'pca_explained_variance.png', dpi=150)\n",
    "plt.show()\n",
    "plt.close(fig)\n",
    "components_needed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "875c32ea",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-12T09:28:46.859771Z",
     "iopub.status.busy": "2026-05-12T09:28:46.858762Z",
     "iopub.status.idle": "2026-05-12T09:28:46.882332Z",
     "shell.execute_reply": "2026-05-12T09:28:46.880769Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'top_covariance_pair': ('PURCHASES', 'ONEOFF_PURCHASES'),\n",
       " 'value': 0.9169470108951325}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca_two = PCA(n_components=2, random_state=42)\n",
    "pca_features = pca_two.fit_transform(scaled)\n",
    "covariance = pd.DataFrame(pca_full.get_covariance(), index=working_df.columns, columns=working_df.columns)\n",
    "covariance.to_csv(OUTPUTS_DIR / 'session_7_covariance_matrix.csv')\n",
    "upper_triangle = covariance.where(np.triu(np.ones(covariance.shape), k=1).astype(bool))\n",
    "top_pair = upper_triangle.stack().abs().sort_values(ascending=False).index[0]\n",
    "{'top_covariance_pair': top_pair, 'value': float(covariance.loc[top_pair[0], top_pair[1]])}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "bd94e4c0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-12T09:28:46.884951Z",
     "iopub.status.busy": "2026-05-12T09:28:46.884416Z",
     "iopub.status.idle": "2026-05-12T09:28:51.999802Z",
     "shell.execute_reply": "2026-05-12T09:28:51.998215Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster_range = list(range(2, 12))\n",
    "inertias = []\n",
    "for n_clusters in cluster_range:\n",
    "    model = KMeans(n_clusters=n_clusters, random_state=42, n_init=20)\n",
    "    model.fit(pca_features)\n",
    "    inertias.append(float(model.inertia_))\n",
    "\n",
    "x = np.array(cluster_range)\n",
    "y = np.array(inertias)\n",
    "line_start = np.array([x[0], y[0]])\n",
    "line_end = np.array([x[-1], y[-1]])\n",
    "line_vector = line_end - line_start\n",
    "line_vector = line_vector / np.linalg.norm(line_vector)\n",
    "points = np.column_stack([x, y])\n",
    "distances = []\n",
    "for point in points:\n",
    "    vector = point - line_start\n",
    "    projection = line_start + np.dot(vector, line_vector) * line_vector\n",
    "    distances.append(np.linalg.norm(point - projection))\n",
    "ideal_clusters = int(x[int(np.argmax(distances))])\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 5))\n",
    "ax.plot(cluster_range, inertias, marker='o')\n",
    "ax.axvline(ideal_clusters, color='red', linestyle='--')\n",
    "ax.set_title('KMeans Elbow Curve')\n",
    "ax.set_xlabel('Number of clusters')\n",
    "ax.set_ylabel('Inertia')\n",
    "fig.tight_layout()\n",
    "fig.savefig(PLOTS_DIR / 'kmeans_elbow.png', dpi=150)\n",
    "plt.show()\n",
    "plt.close(fig)\n",
    "ideal_clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2727c1bc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-12T09:28:52.002492Z",
     "iopub.status.busy": "2026-05-12T09:28:52.002492Z",
     "iopub.status.idle": "2026-05-12T09:28:52.958297Z",
     "shell.execute_reply": "2026-05-12T09:28:52.957290Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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>pca_1</th>\n",
       "      <th>pca_2</th>\n",
       "      <th>cluster</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-1.683649</td>\n",
       "      <td>-1.072241</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-1.134085</td>\n",
       "      <td>2.509150</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.969395</td>\n",
       "      <td>-0.383577</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.888220</td>\n",
       "      <td>0.004648</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-1.600021</td>\n",
       "      <td>-0.683795</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      pca_1     pca_2  cluster\n",
       "0 -1.683649 -1.072241        0\n",
       "1 -1.134085  2.509150        4\n",
       "2  0.969395 -0.383577        1\n",
       "3 -0.888220  0.004648        0\n",
       "4 -1.600021 -0.683795        0"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "final_model = KMeans(n_clusters=ideal_clusters, random_state=42, n_init=20)\n",
    "clusters = final_model.fit_predict(pca_features)\n",
    "cluster_df = pd.DataFrame({'pca_1': pca_features[:, 0], 'pca_2': pca_features[:, 1], 'cluster': clusters})\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "sns.scatterplot(data=cluster_df, x='pca_1', y='pca_2', hue='cluster', palette='tab10', ax=ax)\n",
    "ax.set_title('KMeans Clusters on 2-Component PCA Space')\n",
    "fig.tight_layout()\n",
    "fig.savefig(PLOTS_DIR / 'cluster_scatter.png', dpi=150)\n",
    "plt.show()\n",
    "plt.close(fig)\n",
    "cluster_sizes = cluster_df['cluster'].value_counts().sort_index().to_dict()\n",
    "cluster_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "252bba69",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-05-12T09:28:52.962804Z",
     "iopub.status.busy": "2026-05-12T09:28:52.962299Z",
     "iopub.status.idle": "2026-05-12T09:28:52.993405Z",
     "shell.execute_reply": "2026-05-12T09:28:52.992394Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'dataset_shape': [8950, 18],\n",
       " 'filled_missing_values': {'MINIMUM_PAYMENTS': 313, 'CREDIT_LIMIT': 1},\n",
       " 'components_for_85_percent_variance': 8,\n",
       " 'top_covariance_pair': {'columns': ['PURCHASES', 'ONEOFF_PURCHASES'],\n",
       "  'value': 0.9169470108951325},\n",
       " 'cluster_range': [2, 3, 4, 5, 6, 7, 8, 9, 10, 11],\n",
       " 'inertias': [49682.0510019688,\n",
       "  33031.5387265398,\n",
       "  24544.39226676279,\n",
       "  19474.98317130457,\n",
       "  16227.989956199026,\n",
       "  13819.288934398468,\n",
       "  12324.670804661473,\n",
       "  10919.28112800173,\n",
       "  9894.139885607852,\n",
       "  8959.441443049795],\n",
       " 'ideal_clusters': 5,\n",
       " 'cluster_sizes': {0: 3502, 1: 3247, 2: 1038, 3: 81, 4: 1082}}"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster_df.to_csv(OUTPUTS_DIR / 'session_7_cluster_assignments.csv', index=False)\n",
    "summary = {\n",
    "    'dataset_shape': list(df.shape),\n",
    "    'filled_missing_values': {'MINIMUM_PAYMENTS': int(df['MINIMUM_PAYMENTS'].isna().sum()), 'CREDIT_LIMIT': int(df['CREDIT_LIMIT'].isna().sum())},\n",
    "    'components_for_85_percent_variance': components_needed,\n",
    "    'top_covariance_pair': {'columns': list(top_pair), 'value': float(covariance.loc[top_pair[0], top_pair[1]])},\n",
    "    'cluster_range': cluster_range,\n",
    "    'inertias': inertias,\n",
    "    'ideal_clusters': ideal_clusters,\n",
    "    'cluster_sizes': cluster_sizes,\n",
    "}\n",
    "with open(OUTPUTS_DIR / 'session_7_summary.json', 'w', encoding='utf-8') as handle:\n",
    "    json.dump(summary, handle, indent=2)\n",
    "summary"
   ]
  }
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