Clusters.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "08eb8777",
   "metadata": {},
   "source": [
    "# Description\n",
    "Perform agglomerative clustering and k-means clustering over a dataset dealing with European employment in 1979 at http://www.dm.unibo.it/~simoncin/EuropeanJobs.html. This dataset gives the percentage of people employed in each of a set of areas in 1979 for each of a set of European countries."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f04647a",
   "metadata": {},
   "source": [
    "# Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d6487bee",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "from scipy.cluster import hierarchy\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.metrics import silhouette_score"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e9add7b",
   "metadata": {},
   "source": [
    "# Data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "13d64e91",
   "metadata": {},
   "source": [
    "Variable Names:\n",
    "- `Country`: Name of country\n",
    "- `Agr`: Percentage employed in agriculture\n",
    "- `Min`: Percentage employed in mining\n",
    "- `Man`: Percentage employed in manufacturing\n",
    "- `PS`: Percentage employed in power supply industries\n",
    "- `Con`: Percentage employed in construction\n",
    "- `SI`: Percentage employed in service industries\n",
    "- `Fin`: Percentage employed in finance\n",
    "- `SPS`: Percentage employed in social and personal services\n",
    "- `TC`: Percentage employed in transport and communications"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "30bb8e19",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"Data/EuropeanJobs.dat\", sep='\\t', header=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4d6c0147",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    }\n",
       "\n",
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       "\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>Country</th>\n",
       "      <th>Agr</th>\n",
       "      <th>Min</th>\n",
       "      <th>Man</th>\n",
       "      <th>PS</th>\n",
       "      <th>Con</th>\n",
       "      <th>SI</th>\n",
       "      <th>Fin</th>\n",
       "      <th>SPS</th>\n",
       "      <th>TC</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Belgium</td>\n",
       "      <td>3.3</td>\n",
       "      <td>0.9</td>\n",
       "      <td>27.6</td>\n",
       "      <td>0.9</td>\n",
       "      <td>8.2</td>\n",
       "      <td>19.1</td>\n",
       "      <td>6.2</td>\n",
       "      <td>26.6</td>\n",
       "      <td>7.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Denmark</td>\n",
       "      <td>9.2</td>\n",
       "      <td>0.1</td>\n",
       "      <td>21.8</td>\n",
       "      <td>0.6</td>\n",
       "      <td>8.3</td>\n",
       "      <td>14.6</td>\n",
       "      <td>6.5</td>\n",
       "      <td>32.2</td>\n",
       "      <td>7.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>France</td>\n",
       "      <td>10.8</td>\n",
       "      <td>0.8</td>\n",
       "      <td>27.5</td>\n",
       "      <td>0.9</td>\n",
       "      <td>8.9</td>\n",
       "      <td>16.8</td>\n",
       "      <td>6.0</td>\n",
       "      <td>22.6</td>\n",
       "      <td>5.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>W. Germany</td>\n",
       "      <td>6.7</td>\n",
       "      <td>1.3</td>\n",
       "      <td>35.8</td>\n",
       "      <td>0.9</td>\n",
       "      <td>7.3</td>\n",
       "      <td>14.4</td>\n",
       "      <td>5.0</td>\n",
       "      <td>22.3</td>\n",
       "      <td>6.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Ireland</td>\n",
       "      <td>23.2</td>\n",
       "      <td>1.0</td>\n",
       "      <td>20.7</td>\n",
       "      <td>1.3</td>\n",
       "      <td>7.5</td>\n",
       "      <td>16.8</td>\n",
       "      <td>2.8</td>\n",
       "      <td>20.8</td>\n",
       "      <td>6.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Italy</td>\n",
       "      <td>15.9</td>\n",
       "      <td>0.6</td>\n",
       "      <td>27.6</td>\n",
       "      <td>0.5</td>\n",
       "      <td>10.0</td>\n",
       "      <td>18.1</td>\n",
       "      <td>1.6</td>\n",
       "      <td>20.1</td>\n",
       "      <td>5.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Luxembourg</td>\n",
       "      <td>7.7</td>\n",
       "      <td>3.1</td>\n",
       "      <td>30.8</td>\n",
       "      <td>0.8</td>\n",
       "      <td>9.2</td>\n",
       "      <td>18.5</td>\n",
       "      <td>4.6</td>\n",
       "      <td>19.2</td>\n",
       "      <td>6.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Netherlands</td>\n",
       "      <td>6.3</td>\n",
       "      <td>0.1</td>\n",
       "      <td>22.5</td>\n",
       "      <td>1.0</td>\n",
       "      <td>9.9</td>\n",
       "      <td>18.0</td>\n",
       "      <td>6.8</td>\n",
       "      <td>28.5</td>\n",
       "      <td>6.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>United Kingdom</td>\n",
       "      <td>2.7</td>\n",
       "      <td>1.4</td>\n",
       "      <td>30.2</td>\n",
       "      <td>1.4</td>\n",
       "      <td>6.9</td>\n",
       "      <td>16.9</td>\n",
       "      <td>5.7</td>\n",
       "      <td>28.3</td>\n",
       "      <td>6.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Austria</td>\n",
       "      <td>12.7</td>\n",
       "      <td>1.1</td>\n",
       "      <td>30.2</td>\n",
       "      <td>1.4</td>\n",
       "      <td>9.0</td>\n",
       "      <td>16.8</td>\n",
       "      <td>4.9</td>\n",
       "      <td>16.8</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Finland</td>\n",
       "      <td>13.0</td>\n",
       "      <td>0.4</td>\n",
       "      <td>25.9</td>\n",
       "      <td>1.3</td>\n",
       "      <td>7.4</td>\n",
       "      <td>14.7</td>\n",
       "      <td>5.5</td>\n",
       "      <td>24.3</td>\n",
       "      <td>7.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Greece</td>\n",
       "      <td>41.4</td>\n",
       "      <td>0.6</td>\n",
       "      <td>17.6</td>\n",
       "      <td>0.6</td>\n",
       "      <td>8.1</td>\n",
       "      <td>11.5</td>\n",
       "      <td>2.4</td>\n",
       "      <td>11.0</td>\n",
       "      <td>6.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>Norway</td>\n",
       "      <td>9.0</td>\n",
       "      <td>0.5</td>\n",
       "      <td>22.4</td>\n",
       "      <td>0.8</td>\n",
       "      <td>8.6</td>\n",
       "      <td>16.9</td>\n",
       "      <td>4.7</td>\n",
       "      <td>27.6</td>\n",
       "      <td>9.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>Portugal</td>\n",
       "      <td>27.8</td>\n",
       "      <td>0.3</td>\n",
       "      <td>24.5</td>\n",
       "      <td>0.6</td>\n",
       "      <td>8.4</td>\n",
       "      <td>13.3</td>\n",
       "      <td>2.7</td>\n",
       "      <td>16.7</td>\n",
       "      <td>5.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Spain</td>\n",
       "      <td>22.9</td>\n",
       "      <td>0.8</td>\n",
       "      <td>28.5</td>\n",
       "      <td>0.7</td>\n",
       "      <td>11.5</td>\n",
       "      <td>9.7</td>\n",
       "      <td>8.5</td>\n",
       "      <td>11.8</td>\n",
       "      <td>5.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Sweden</td>\n",
       "      <td>6.1</td>\n",
       "      <td>0.4</td>\n",
       "      <td>25.9</td>\n",
       "      <td>0.8</td>\n",
       "      <td>7.2</td>\n",
       "      <td>14.4</td>\n",
       "      <td>6.0</td>\n",
       "      <td>32.4</td>\n",
       "      <td>6.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>Switzerland</td>\n",
       "      <td>7.7</td>\n",
       "      <td>0.2</td>\n",
       "      <td>37.8</td>\n",
       "      <td>0.8</td>\n",
       "      <td>9.5</td>\n",
       "      <td>17.5</td>\n",
       "      <td>5.3</td>\n",
       "      <td>15.4</td>\n",
       "      <td>5.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Turkey</td>\n",
       "      <td>66.8</td>\n",
       "      <td>0.7</td>\n",
       "      <td>7.9</td>\n",
       "      <td>0.1</td>\n",
       "      <td>2.8</td>\n",
       "      <td>5.2</td>\n",
       "      <td>1.1</td>\n",
       "      <td>11.9</td>\n",
       "      <td>3.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>Bulgaria</td>\n",
       "      <td>23.6</td>\n",
       "      <td>1.9</td>\n",
       "      <td>32.3</td>\n",
       "      <td>0.6</td>\n",
       "      <td>7.9</td>\n",
       "      <td>8.0</td>\n",
       "      <td>0.7</td>\n",
       "      <td>18.2</td>\n",
       "      <td>6.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Czechoslovakia</td>\n",
       "      <td>16.5</td>\n",
       "      <td>2.9</td>\n",
       "      <td>35.5</td>\n",
       "      <td>1.2</td>\n",
       "      <td>8.7</td>\n",
       "      <td>9.2</td>\n",
       "      <td>0.9</td>\n",
       "      <td>17.9</td>\n",
       "      <td>7.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>E. Germany</td>\n",
       "      <td>4.2</td>\n",
       "      <td>2.9</td>\n",
       "      <td>41.2</td>\n",
       "      <td>1.3</td>\n",
       "      <td>7.6</td>\n",
       "      <td>11.2</td>\n",
       "      <td>1.2</td>\n",
       "      <td>22.1</td>\n",
       "      <td>8.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>Hungary</td>\n",
       "      <td>21.7</td>\n",
       "      <td>3.1</td>\n",
       "      <td>29.6</td>\n",
       "      <td>1.9</td>\n",
       "      <td>8.2</td>\n",
       "      <td>9.4</td>\n",
       "      <td>0.9</td>\n",
       "      <td>17.2</td>\n",
       "      <td>8.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>Poland</td>\n",
       "      <td>31.1</td>\n",
       "      <td>2.5</td>\n",
       "      <td>25.7</td>\n",
       "      <td>0.9</td>\n",
       "      <td>8.4</td>\n",
       "      <td>7.5</td>\n",
       "      <td>0.9</td>\n",
       "      <td>16.1</td>\n",
       "      <td>6.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>Rumania</td>\n",
       "      <td>34.7</td>\n",
       "      <td>2.1</td>\n",
       "      <td>30.1</td>\n",
       "      <td>0.6</td>\n",
       "      <td>8.7</td>\n",
       "      <td>5.9</td>\n",
       "      <td>1.3</td>\n",
       "      <td>11.7</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>USSR</td>\n",
       "      <td>23.7</td>\n",
       "      <td>1.4</td>\n",
       "      <td>25.8</td>\n",
       "      <td>0.6</td>\n",
       "      <td>9.2</td>\n",
       "      <td>6.1</td>\n",
       "      <td>0.5</td>\n",
       "      <td>23.6</td>\n",
       "      <td>9.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>Yugoslavia</td>\n",
       "      <td>48.7</td>\n",
       "      <td>1.5</td>\n",
       "      <td>16.8</td>\n",
       "      <td>1.1</td>\n",
       "      <td>4.9</td>\n",
       "      <td>6.4</td>\n",
       "      <td>11.3</td>\n",
       "      <td>5.3</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           Country   Agr  Min   Man   PS   Con    SI   Fin   SPS   TC\n",
       "0          Belgium   3.3  0.9  27.6  0.9   8.2  19.1   6.2  26.6  7.2\n",
       "1          Denmark   9.2  0.1  21.8  0.6   8.3  14.6   6.5  32.2  7.1\n",
       "2           France  10.8  0.8  27.5  0.9   8.9  16.8   6.0  22.6  5.7\n",
       "3       W. Germany   6.7  1.3  35.8  0.9   7.3  14.4   5.0  22.3  6.1\n",
       "4          Ireland  23.2  1.0  20.7  1.3   7.5  16.8   2.8  20.8  6.1\n",
       "5            Italy  15.9  0.6  27.6  0.5  10.0  18.1   1.6  20.1  5.7\n",
       "6       Luxembourg   7.7  3.1  30.8  0.8   9.2  18.5   4.6  19.2  6.2\n",
       "7      Netherlands   6.3  0.1  22.5  1.0   9.9  18.0   6.8  28.5  6.8\n",
       "8   United Kingdom   2.7  1.4  30.2  1.4   6.9  16.9   5.7  28.3  6.4\n",
       "9          Austria  12.7  1.1  30.2  1.4   9.0  16.8   4.9  16.8  7.0\n",
       "10         Finland  13.0  0.4  25.9  1.3   7.4  14.7   5.5  24.3  7.6\n",
       "11          Greece  41.4  0.6  17.6  0.6   8.1  11.5   2.4  11.0  6.7\n",
       "12          Norway   9.0  0.5  22.4  0.8   8.6  16.9   4.7  27.6  9.4\n",
       "13        Portugal  27.8  0.3  24.5  0.6   8.4  13.3   2.7  16.7  5.7\n",
       "14           Spain  22.9  0.8  28.5  0.7  11.5   9.7   8.5  11.8  5.5\n",
       "15          Sweden   6.1  0.4  25.9  0.8   7.2  14.4   6.0  32.4  6.8\n",
       "16     Switzerland   7.7  0.2  37.8  0.8   9.5  17.5   5.3  15.4  5.7\n",
       "17          Turkey  66.8  0.7   7.9  0.1   2.8   5.2   1.1  11.9  3.2\n",
       "18        Bulgaria  23.6  1.9  32.3  0.6   7.9   8.0   0.7  18.2  6.7\n",
       "19  Czechoslovakia  16.5  2.9  35.5  1.2   8.7   9.2   0.9  17.9  7.0\n",
       "20      E. Germany   4.2  2.9  41.2  1.3   7.6  11.2   1.2  22.1  8.4\n",
       "21         Hungary  21.7  3.1  29.6  1.9   8.2   9.4   0.9  17.2  8.0\n",
       "22          Poland  31.1  2.5  25.7  0.9   8.4   7.5   0.9  16.1  6.9\n",
       "23         Rumania  34.7  2.1  30.1  0.6   8.7   5.9   1.3  11.7  5.0\n",
       "24            USSR  23.7  1.4  25.8  0.6   9.2   6.1   0.5  23.6  9.3\n",
       "25      Yugoslavia  48.7  1.5  16.8  1.1   4.9   6.4  11.3   5.3  4.0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5560a6dc",
   "metadata": {},
   "source": [
    "Get features columns and label:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9d26fb2d",
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_cols = ['Agr','Min','Man','PS','Con','SI','Fin','SPS','TC'] \n",
    "X = df[feature_cols].values\n",
    "Y = df['Country'].tolist()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a10a106",
   "metadata": {},
   "source": [
    "# Agglomerative Clustering"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24b31456",
   "metadata": {},
   "source": [
    "## Inter-cluster distance\n",
    "For agglomerative clustering, we need to choose a good inter-cluster distance to fuse nearby clusters. Lets find out wich one is the best for our dataset by producing a dendrogram of this data for each distance.\n",
    "\n",
    "Every function should take the data matrix X as input, which is a numpy array with the shape of  (𝑁,𝑑)  where  𝑁  is the number of samples and  𝑑  is the number of features. The output of the function should be a linkage matrix."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "58ad19e6",
   "metadata": {},
   "source": [
    "### Single-link"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2392baaf",
   "metadata": {},
   "outputs": [],
   "source": [
    "def single_linkage(X):\n",
    "    single_link = hierarchy.single(X)\n",
    "    \n",
    "    return single_link"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c969c778",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x540 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "single_link = single_linkage(X)\n",
    "plt.figure(figsize=(12,6), dpi=90)\n",
    "plt.ylabel(\"Distance\")\n",
    "plt.title(\"Agglomerative Clustering of European Jobs - Single Link\")\n",
    "dn_single = hierarchy.dendrogram(single_link, labels=Y)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03a10c37",
   "metadata": {},
   "source": [
    "### Complete-link"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "004d13b5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def complete_linkage(X):\n",
    "    comp_link = hierarchy.complete(X)\n",
    "    \n",
    "    return comp_link"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2beaf0ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x540 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "complete_link = complete_linkage(X)\n",
    "plt.figure(figsize=(12,6), dpi=90)\n",
    "plt.ylabel(\"Distance\")\n",
    "plt.title(\"Agglomerative Clustering of European Jobs - Complete Link\")\n",
    "dn_complete = hierarchy.dendrogram(complete_link,labels=Y)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bfdb0bd7",
   "metadata": {},
   "source": [
    "### Average-link"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4e6eb6dc",
   "metadata": {},
   "outputs": [],
   "source": [
    "def group_avg_linkage(X):\n",
    "    avg_link = hierarchy.average(X)\n",
    "    \n",
    "    return avg_link"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "46a9ca96",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x540 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "average_link = group_avg_linkage(X)\n",
    "plt.figure(figsize=(12,6), dpi=90)\n",
    "plt.ylabel(\"Distance\")\n",
    "plt.title(\"Agglomerative Clustering of European Jobs - Group Average\")\n",
    "dn_average = hierarchy.dendrogram(average_link,labels=Y)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a6a992c",
   "metadata": {},
   "source": [
    "# K-mans clustreing"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c66e1d2a",
   "metadata": {},
   "source": [
    "Perform the K-Means clustering algorithm on the dataset, and evalute the effect of the parameter  𝑘  (the number of clusters) on the outcome.\n",
    "\n",
    "In the following code, the K-Means algorithm is for  2≤𝑘≤25  clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "0be21149",
   "metadata": {},
   "outputs": [],
   "source": [
    "k_list = list(range(2,26))\n",
    "k_inertias = []\n",
    "k_scores = []\n",
    "model_list = []\n",
    "for k in k_list:\n",
    "    model = KMeans(n_clusters=k, random_state=12345).fit(X)\n",
    "    model_list.append(model)\n",
    "    cluster_assignments = model.labels_\n",
    "    score = silhouette_score(X, cluster_assignments, metric='euclidean')\n",
    "    inertia = model.inertia_\n",
    "    k_scores.append(score)\n",
    "    k_inertias.append(inertia)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2b684d6",
   "metadata": {},
   "source": [
    "## Elbow plot\n",
    "Plot the sum of square distances of samples to their closest cluster center as a function of  𝑘 , the numebr of clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "dc6744ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 960x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4), dpi=120)\n",
    "plt.title('The Elbow Plot')\n",
    "plt.xlabel('Number of Clusters')\n",
    "plt.ylabel('Sum of Square Distances')\n",
    "_=plt.plot(k_list, k_inertias,'bo--')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71b34f90",
   "metadata": {},
   "source": [
    "## Silhouette Score \n",
    "Plot the so called \"silhouette\" score for the result of the K-Means clustering algorithm for the values of  𝑘  we implemented above. The silhouette score is a measure of how similar an object is to its cluster compared to other clusters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "58a8be63",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 960x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4), dpi=120)\n",
    "plt.title('Silhouette Score vs. Number of clusters')\n",
    "plt.xlabel('Number of Clusters')\n",
    "plt.ylabel('Score')\n",
    "_=plt.plot(k_list, k_scores,'bo--')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2fab16b6",
   "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": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}