K-Medoids Algorithm.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "27f2d70f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: scikit-learn-extra in c:\\users\\target\\anaconda3\\lib\\site-packages (0.3.0)\n",
      "Requirement already satisfied: numpy>=1.13.3 in c:\\users\\target\\anaconda3\\lib\\site-packages (from scikit-learn-extra) (1.24.3)\n",
      "Requirement already satisfied: scipy>=0.19.1 in c:\\users\\target\\anaconda3\\lib\\site-packages (from scikit-learn-extra) (1.10.1)\n",
      "Requirement already satisfied: scikit-learn>=0.23.0 in c:\\users\\target\\anaconda3\\lib\\site-packages (from scikit-learn-extra) (1.3.2)\n",
      "Requirement already satisfied: joblib>=1.1.1 in c:\\users\\target\\anaconda3\\lib\\site-packages (from scikit-learn>=0.23.0->scikit-learn-extra) (1.2.0)\n",
      "Requirement already satisfied: threadpoolctl>=2.0.0 in c:\\users\\target\\anaconda3\\lib\\site-packages (from scikit-learn>=0.23.0->scikit-learn-extra) (3.2.0)\n",
      "Requirement already satisfied: threadpoolctl in c:\\users\\target\\anaconda3\\lib\\site-packages (3.2.0)\n"
     ]
    }
   ],
   "source": [
    "!pip install scikit-learn-extra\n",
    "!pip install --upgrade threadpoolctl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "211e207f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn_extra.cluster import KMedoids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "39ade3ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CustomerID</th>\n",
       "      <th>Genre</th>\n",
       "      <th>Age</th>\n",
       "      <th>Annual Income (k$)</th>\n",
       "      <th>Spending Score (1-100)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Male</td>\n",
       "      <td>19</td>\n",
       "      <td>15</td>\n",
       "      <td>39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Male</td>\n",
       "      <td>21</td>\n",
       "      <td>15</td>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Female</td>\n",
       "      <td>20</td>\n",
       "      <td>16</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Female</td>\n",
       "      <td>23</td>\n",
       "      <td>16</td>\n",
       "      <td>77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Female</td>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>196</td>\n",
       "      <td>Female</td>\n",
       "      <td>35</td>\n",
       "      <td>120</td>\n",
       "      <td>79</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>197</td>\n",
       "      <td>Female</td>\n",
       "      <td>45</td>\n",
       "      <td>126</td>\n",
       "      <td>28</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>198</td>\n",
       "      <td>Male</td>\n",
       "      <td>32</td>\n",
       "      <td>126</td>\n",
       "      <td>74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>199</td>\n",
       "      <td>Male</td>\n",
       "      <td>32</td>\n",
       "      <td>137</td>\n",
       "      <td>18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>200</td>\n",
       "      <td>Male</td>\n",
       "      <td>30</td>\n",
       "      <td>137</td>\n",
       "      <td>83</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>200 rows × 5 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     CustomerID   Genre  Age  Annual Income (k$)  Spending Score (1-100)\n",
       "0             1    Male   19                  15                      39\n",
       "1             2    Male   21                  15                      81\n",
       "2             3  Female   20                  16                       6\n",
       "3             4  Female   23                  16                      77\n",
       "4             5  Female   31                  17                      40\n",
       "..          ...     ...  ...                 ...                     ...\n",
       "195         196  Female   35                 120                      79\n",
       "196         197  Female   45                 126                      28\n",
       "197         198    Male   32                 126                      74\n",
       "198         199    Male   32                 137                      18\n",
       "199         200    Male   30                 137                      83\n",
       "\n",
       "[200 rows x 5 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"Mall_Customers.csv\")\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "5bcfad82",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Genre                     0\n",
       "Age                       0\n",
       "Annual Income (k$)        0\n",
       "Spending Score (1-100)    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.drop([\"CustomerID\"], axis = 1, inplace=True)\n",
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "55089e24",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Age</th>\n",
       "      <th>Annual Income (k$)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>19</td>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>21</td>\n",
       "      <td>15</td>\n",
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       "      <th>2</th>\n",
       "      <td>20</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>23</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>35</td>\n",
       "      <td>120</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>45</td>\n",
       "      <td>126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>32</td>\n",
       "      <td>126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>32</td>\n",
       "      <td>137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>30</td>\n",
       "      <td>137</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>200 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Age  Annual Income (k$)\n",
       "0     19                  15\n",
       "1     21                  15\n",
       "2     20                  16\n",
       "3     23                  16\n",
       "4     31                  17\n",
       "..   ...                 ...\n",
       "195   35                 120\n",
       "196   45                 126\n",
       "197   32                 126\n",
       "198   32                 137\n",
       "199   30                 137\n",
       "\n",
       "[200 rows x 2 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features = df[[\"Age\", \"Annual Income (k$)\"]]\n",
    "features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "001e6f5f",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 6))\n",
    "plt.scatter(df['Age'], df['Annual Income (k$)'])\n",
    "plt.xlabel('Age')\n",
    "plt.ylabel('Annual Income (k$)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4608f2dc",
   "metadata": {},
   "outputs": [],
   "source": [
    "kmedoids = KMedoids(n_clusters=5, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c6ee5732",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMedoids(n_clusters=5, random_state=42)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">KMedoids</label><div class=\"sk-toggleable__content\"><pre>KMedoids(n_clusters=5, random_state=42)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "KMedoids(n_clusters=5, random_state=42)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmedoids.fit(features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1eab1360",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4,\n",
       "       4, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 3, 4, 3, 4,\n",
       "       3, 4, 3, 4, 4, 4, 3, 4, 4, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 4,\n",
       "       3, 3, 4, 4, 3, 3, 3, 3, 3, 1, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, 3, 1,\n",
       "       2, 3, 3, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 3, 1, 2, 1, 3, 2, 3, 3,\n",
       "       3, 1, 2, 1, 1, 1, 3, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2,\n",
       "       1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2,\n",
       "       2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0], dtype=int64)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmedoids.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "afbf5eed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[37., 97.],\n",
       "       [25., 72.],\n",
       "       [43., 71.],\n",
       "       [54., 47.],\n",
       "       [29., 28.]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmedoids.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "fbf24d0e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Annual Income (k$)')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 6))\n",
    "plt.scatter(df['Age'], df['Annual Income (k$)'], c=kmedoids.labels_)\n",
    "plt.scatter(kmedoids.cluster_centers_[:, 0], kmedoids.cluster_centers_[:, 1], marker='X', s=200, color='red')\n",
    "plt.xlabel('Age')\n",
    "plt.ylabel('Annual Income (k$)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "559e1baf",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import MinMaxScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "b25bc14d",
   "metadata": {},
   "outputs": [],
   "source": [
    "scaler = MinMaxScaler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f77e5888",
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Annual Income (k$)'] = scaler.fit_transform(df[['Annual Income (k$)']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "19a9dfd8",
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Age'] = scaler.fit_transform(df[['Age']])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "41f8c4f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Age</th>\n",
       "      <th>Annual Income (k$)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.019231</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.057692</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.038462</td>\n",
       "      <td>0.008197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.096154</td>\n",
       "      <td>0.008197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.016393</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>0.326923</td>\n",
       "      <td>0.860656</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>0.519231</td>\n",
       "      <td>0.909836</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>0.269231</td>\n",
       "      <td>0.909836</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>0.269231</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>0.230769</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>200 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          Age  Annual Income (k$)\n",
       "0    0.019231            0.000000\n",
       "1    0.057692            0.000000\n",
       "2    0.038462            0.008197\n",
       "3    0.096154            0.008197\n",
       "4    0.250000            0.016393\n",
       "..        ...                 ...\n",
       "195  0.326923            0.860656\n",
       "196  0.519231            0.909836\n",
       "197  0.269231            0.909836\n",
       "198  0.269231            1.000000\n",
       "199  0.230769            1.000000\n",
       "\n",
       "[200 rows x 2 columns]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features = df[[\"Age\", \"Annual Income (k$)\"]]\n",
    "features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b5c9ba48",
   "metadata": {},
   "outputs": [],
   "source": [
    "kmedoids = KMedoids(n_clusters=5, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b39e030a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-2 {color: black;}#sk-container-id-2 pre{padding: 0;}#sk-container-id-2 div.sk-toggleable {background-color: white;}#sk-container-id-2 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-2 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-2 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-2 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-2 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-2 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-2 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-2 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-2 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-2 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-2 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-2 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-2 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-2 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-2 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-2 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-2 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-2 div.sk-item {position: relative;z-index: 1;}#sk-container-id-2 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-2 div.sk-item::before, #sk-container-id-2 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-2 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-2 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-2 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-2 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-2 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-2 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-2 div.sk-label-container {text-align: center;}#sk-container-id-2 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-2 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-2\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMedoids(n_clusters=5, random_state=42)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" checked><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">KMedoids</label><div class=\"sk-toggleable__content\"><pre>KMedoids(n_clusters=5, random_state=42)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "KMedoids(n_clusters=5, random_state=42)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmedoids.fit(features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "41b287ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Annual Income (k$)')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 6))\n",
    "plt.scatter(df['Age'], df['Annual Income (k$)'])\n",
    "plt.xlabel('Age')\n",
    "plt.ylabel('Annual Income (k$)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "2f647b8e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.21153846 0.10655738]\n",
      " [0.86538462 0.2704918 ]\n",
      " [0.21153846 0.47540984]\n",
      " [0.32692308 0.63934426]\n",
      " [0.57692308 0.36885246]]\n"
     ]
    }
   ],
   "source": [
    "print(kmedoids.cluster_centers_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "c66ea46f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 6))\n",
    "plt.scatter(df['Age'], df['Annual Income (k$)'], c=kmedoids.labels_)\n",
    "plt.scatter(kmedoids.cluster_centers_[:, 0], kmedoids.cluster_centers_[:, 1], marker='X', s=200, color='red')\n",
    "plt.xlabel('Age')\n",
    "plt.ylabel('Annual Income (k$)')\n",
    "plt.title('KMedoids Clustering')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6d951034",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}