{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**k-means algo searches for a pre-determined number of clusters**\n",
    "\n",
    "* cluster center is arithmetic mean of all points belonging to cluster.\n",
    "* Each point is closer to its own cluster center than to other cluster centers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.cluster import KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "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>CustomerID</th>\n",
       "      <th>Genre</th>\n",
       "      <th>Age</th>\n",
       "      <th>Annual Income (k$)</th>\n",
       "      <th>Spending Score (1-100)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Male</td>\n",
       "      <td>19</td>\n",
       "      <td>15</td>\n",
       "      <td>39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Male</td>\n",
       "      <td>21</td>\n",
       "      <td>15</td>\n",
       "      <td>81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Female</td>\n",
       "      <td>20</td>\n",
       "      <td>16</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Female</td>\n",
       "      <td>23</td>\n",
       "      <td>16</td>\n",
       "      <td>77</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Female</td>\n",
       "      <td>31</td>\n",
       "      <td>17</td>\n",
       "      <td>40</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   CustomerID   Genre  Age  Annual Income (k$)  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"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('my_machine-learning/customers.csv')\n",
    "X = df.iloc[:, [3, 4]].values\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], s=50)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Elbow Method\n",
    "* We find k by this algorithm\n",
    "* k = point (where elbow like shape formed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "WCSS = []\n",
    "for i in range(1, 21):\n",
    "    clf = KMeans(n_clusters=i)\n",
    "    clf.fit(X)\n",
    "    WCSS.append(clf.inertia_) # inertia is another name for WCSS\n",
    "\n",
    "plt.plot(range(1, 21), WCSS)\n",
    "plt.title('The Elbow Method')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Elbow is at 5**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "kmean = KMeans(n_clusters=5,)\n",
    "y_kmeans = kmean.fit_predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 9))\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=50, cmap='viridis')\n",
    "\n",
    "centers = kmean.cluster_centers_\n",
    "plt.scatter(centers[:, 0], centers[:, 1], c='black', s=150, alpha=0.5)\n",
    "plt.title('Clusters using KMeans')\n",
    "plt.ylabel('Annual Income (k$)')\n",
    "plt.xlabel('Spending Score (1-100)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Limitations\n",
    "* Strong sensitivity to outliers and noise\n",
    "* Doesn't work well with non-circular cluster shape \n",
    "* Number of cluster and initial seed value need to be specified beforehand"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Advantage\n",
    "* Faster than other algos"
   ]
  }
 ],
 "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": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}