iris-k-means.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Import dependencies "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "from copy import deepcopy\n",
    "\n",
    "plt.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# K-Means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Euclidean Distance\n",
    "def dist(a, b, ax=1):\n",
    "    return np.linalg.norm(a - b, axis=ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def k_means(X, k):\n",
    "    centroids = X[np.random.choice(len(X), size=k, replace=False)]\n",
    "    history = [centroids]\n",
    "    old_centroids = np.zeros(centroids.shape)\n",
    "    clusters = np.zeros(len(X))\n",
    "    # Distance between new centroids and old centroids\n",
    "    change = dist(centroids, old_centroids, None)\n",
    "    # Loop till no change in centroids\n",
    "    while change != 0:\n",
    "        # Assigning each value to its closest cluster\n",
    "        for i in range(len(X)):\n",
    "            distances = dist(X[i], centroids)\n",
    "            cluster = np.argmin(distances)\n",
    "            clusters[i] = cluster\n",
    "        # Storing the old centroid values\n",
    "        old_centroids = deepcopy(centroids)\n",
    "        # Finding the new centroids by taking the average value\n",
    "        for i in range(k):\n",
    "            points = [X[j] for j in range(len(X)) if clusters[j] == i]\n",
    "            centroids[i] = np.mean(points, axis=0)\n",
    "        history.append(deepcopy(centroids))\n",
    "        change = dist(centroids, old_centroids, None)\n",
    "    return centroids, clusters, np.array(history)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# IRIS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('iris.csv')\n",
    "y = df.loc[:, 'variety'].copy().values\n",
    "X = df.drop(['variety'], axis=1).copy().values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "encoder = LabelEncoder()\n",
    "y = encoder.fit_transform(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
      " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
      " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2\n",
      " 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n",
      " 2 2]\n"
     ]
    }
   ],
   "source": [
    "print(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "k = 3\n",
    "centroids, clusters, _ = k_means(X, k)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 25))\n",
    "colors = ['r', 'g', 'b', 'y', 'c', 'm']\n",
    "count = 1\n",
    "for first in range(X.shape[1]):\n",
    "    for second in range(first + 1, X.shape[1]):\n",
    "        plt.subplot(6, 1, count)\n",
    "        for c in range(k):\n",
    "            points = np.array([X[j]\n",
    "                               for j in range(len(X)) if clusters[j] == c])\n",
    "            plt.scatter(points[:, first], points[:, second], color=colors[c])\n",
    "            plt.scatter(centroids[c, first], centroids[c,\n",
    "                                                       second], marker='*', s=200, c='#050505')\n",
    "        count += 1\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see the results for when we drop each feature:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x1800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for feature in range(X.shape[1]):\n",
    "    X_temp = np.delete(X, feature, axis=1)\n",
    "    centroids, clusters, _ = k_means(X_temp, k)\n",
    "    count = 1\n",
    "    for first in range(X_temp.shape[1]):\n",
    "        for second in range(first + 1, X_temp.shape[1]):\n",
    "            plt.figure(figsize=(10, 25))\n",
    "            plt.subplot(3, 1, count)\n",
    "            for c in range(k):\n",
    "                points = np.array(\n",
    "                    [X_temp[j] for j in range(len(X_temp)) if clusters[j] == c])\n",
    "                plt.scatter(points[:, first],\n",
    "                            points[:, second], color=colors[c])\n",
    "                plt.scatter(centroids[c, first], centroids[c,\n",
    "                                                           second], marker='*', s=200, c='#050505')\n",
    "            plt.show()\n",
    "            count += 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Moving Centroids "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are going to visualize the update in centroids in each iteration: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('iris.csv')\n",
    "X = df.drop(['sepal.width', 'sepal.length', 'variety'], axis=1).copy().values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = ['r', 'g', 'b', 'y', 'c', 'm']\n",
    "line_colors = ['m', 'c', 'y', 'b', 'g', 'r']\n",
    "for _ in range(5):\n",
    "    plt.figure(figsize=(15, 10))\n",
    "    centroids, clusters, history = k_means(X, k)\n",
    "    for c in range(k):\n",
    "        points = np.array([X[j] for j in range(len(X)) if clusters[j] == c])\n",
    "        plt.scatter(points[:, 0], points[:, 1], color=colors[c])\n",
    "        plt.scatter(centroids[c, 0], centroids[c, 1],\n",
    "                    marker='*', s=200, c='#050505')\n",
    "    for i in range(0, len(history) - 1, 2):\n",
    "        for j in range(0, len(history[0])):\n",
    "            plt.plot(history[i:i+2, j, 0], history[i:i+2, j, 1],\n",
    "                     'ro-', color=line_colors[j])\n",
    "    plt.show()"
   ]
  }
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