{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import svm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x109086470>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# generate some data that is not linearly seperable\n",
    "df = pd.DataFrame(np.random.normal(0,1,(20,2)), columns=['x1', 'x2'])\n",
    "y = df @ np.array([2,5]).reshape(-1, 1) + np.random.normal(0, 2, df.shape[0]).reshape(-1, 1)\n",
    "df['y'] = y > y.mean()\n",
    "\n",
    "# plot it\n",
    "sns.scatterplot(x='x1', y='x2', hue='y', data = df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10f61e128>"
      ]
     },
     "execution_count": 190,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fit a support vector classifier\n",
    "clf = svm.SVC(kernel='linear', C=1)\n",
    "x = df.drop('y', axis=1)\n",
    "y = df.y\n",
    "clf.fit(x, y)\n",
    "\n",
    "# plot the contours of the decision boundry \n",
    "# highlight the support vectors\n",
    "_, _ = plt.subplots(figsize=(10, 10))\n",
    "x1, x2 = np.meshgrid(np.linspace(-2, 2, 21), np.linspace(-2, 2, 21))\n",
    "x = pd.DataFrame({'x1' : x1.ravel(), 'x2' : x2.ravel()})\n",
    "y = clf.decision_function(x)\n",
    "y_sh = y.reshape(x1.shape)\n",
    "sns.scatterplot(x='x1', y='x2', hue='y', data = df)\n",
    "plt.contour(x1, x2, y_sh, cmap='coolwarm')\n",
    "plt.colorbar()\n",
    "sns.scatterplot(x=clf.support_vectors_[:,0], y=clf.support_vectors_[:,1], color='black', marker='+', s=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 196,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10fd4f588>"
      ]
     },
     "execution_count": 196,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# generate some data that is  linearly seperable\n",
    "df = pd.DataFrame(np.random.normal(0,1,(20,2)), columns=['x1', 'x2'])\n",
    "y = df @ np.array([2,5]).reshape(-1, 1)\n",
    "df['y'] = y > y.mean()\n",
    "\n",
    "# plot it\n",
    "sns.scatterplot(x='x1', y='x2', hue='y', data = df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 205,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x110b47320>"
      ]
     },
     "execution_count": 205,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fit a support vector classifier\n",
    "clf = svm.SVC(kernel='linear', C=1)\n",
    "x = df.drop('y', axis=1)\n",
    "y = df.y\n",
    "clf.fit(x, y)\n",
    "\n",
    "# plot the contours of the decision boundry \n",
    "# highlight the support vectors\n",
    "_, _ = plt.subplots(figsize=(10, 10))\n",
    "x1, x2 = np.meshgrid(np.linspace(-2, 2, 21), np.linspace(-2, 2, 21))\n",
    "x = pd.DataFrame({'x1' : x1.ravel(), 'x2' : x2.ravel()})\n",
    "y = clf.decision_function(x)\n",
    "y_sh = y.reshape(x1.shape)\n",
    "sns.scatterplot(x='x1', y='x2', hue='y', data = df)\n",
    "plt.contour(x1, x2, y_sh, cmap='coolwarm');\n",
    "plt.colorbar();\n",
    "sns.scatterplot(x=clf.support_vectors_[:,0], y=clf.support_vectors_[:,1], color='black', marker='+', s=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 214,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1110e9e80>"
      ]
     },
     "execution_count": 214,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# generate some data with a non-linear class boundry\n",
    "df = pd.DataFrame({'x1' : np.random.normal(0,1,100), 'x2' : np.random.normal(0,1,100)})\n",
    "y = df.x1 ** 2 + df.x2 ** 2\n",
    "df['y'] = y > y.mean()\n",
    "sns.scatterplot(x='x1', y='x2', hue='y', data=df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1131bc198>"
      ]
     },
     "execution_count": 233,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fit a support vector classifier\n",
    "clf = svm.SVC(kernel='rbf', gamma=0.1, C=1000)\n",
    "x = df.drop('y', axis=1)\n",
    "y = df.y\n",
    "clf.fit(x, y)\n",
    "\n",
    "# plot the contours of the decision boundry \n",
    "# highlight the support vectors\n",
    "_, _ = plt.subplots(figsize=(10, 10))\n",
    "x1, x2 = np.meshgrid(np.linspace(-2, 2, 100), np.linspace(-2, 2, 100))\n",
    "x = pd.DataFrame({'x1' : x1.ravel(), 'x2' : x2.ravel()})\n",
    "y = clf.decision_function(x)\n",
    "y_sh = y.reshape(x1.shape)\n",
    "sns.scatterplot(x='x1', y='x2', hue='y', data = df)\n",
    "plt.contour(x1, x2, y_sh, cmap='coolwarm');\n",
    "plt.colorbar();\n",
    "sns.scatterplot(x=clf.support_vectors_[:,0], y=clf.support_vectors_[:,1], color='black', marker='+', s=500)"
   ]
  }
 ],
 "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": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}