{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "While KMeans is a good algorithm, the time complexity is very poor. Kmeans works in O(n⋅K⋅I⋅f) Where n is number of records, K is number of clusters, I is number of iterations, f is number of features in particular record. Clearly, the algorithm will take forever to complete on a dataset of > 100,000 data points"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Minibatch KMeans\n",
    "Main features of Minibatch KMeans are:\n",
    "\n",
    "* Instead of using the entire dataset at once, it operates in batches.\n",
    "* Uses Gradient Descent update, which is way more faster than what KMeans does.\n",
    "\n",
    "#### How it works \n",
    "* It takes batches of datasets and finds the centroids for the smaller dataset (minibatch) \n",
    "* Then for the next batch, it uses the centroid found in previous batch and updates it using Gradient Descent. \n",
    "* This simple method makes it faster by a magnitude of the input size."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('my_machine-learning/datasets/customers.csv')\n",
    "X = df.iloc[:, [3, 4]].values\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparing Mini batch kmeans with kmeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import MiniBatchKMeans\n",
    "\n",
    "clf = MiniBatchKMeans(n_clusters=5, init='k-means++', max_iter=300, n_init=10,  random_state=0)\n",
    "y_minikmeans = clf.fit_predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "kmean = KMeans(n_clusters=5,)\n",
    "y_kmeans = kmean.fit_predict(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15,6))\n",
    "plt.subplot(121)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_minikmeans, s=50, cmap='viridis')\n",
    "\n",
    "centers = clf.cluster_centers_\n",
    "plt.scatter(centers[:, 0], centers[:, 1], c='black', s=150, alpha=0.5)\n",
    "plt.title('Clusters using DBSCAN')\n",
    "plt.ylabel('Grocery')\n",
    "plt.xlabel('Milk')\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=50, cmap='viridis_r')\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('Grocery')\n",
    "plt.xlabel('Milk')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "well there is not any difference between both for small datasets"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Disad\n",
    "The mini batch K-means is faster but gives slightly different results than the normal batch K-means."
   ]
  }
 ],
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