{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e27677a5-45cf-4739-8b0f-ab2e640784e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sb\n",
    "from scipy.io import loadmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "9d440208-1f6c-448e-8ad2-adf545de9cf8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x13f3c79e0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 960x640 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "raw_data = loadmat('data/ex6data2.mat')\n",
    "\n",
    "data = pd.DataFrame(raw_data['X'], columns=['X1', 'X2'])\n",
    "data['y'] = raw_data['y']\n",
    "\n",
    "positive = data[data['y'].isin([1])]\n",
    "negative = data[data['y'].isin([0])]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(12,8))\n",
    "ax.scatter(positive['X1'], positive['X2'], s=30, marker='x', label='Positive')\n",
    "ax.scatter(negative['X1'], negative['X2'], s=30, marker='o', label='Negative')\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "41f4f29d-c06b-418a-a67d-815535a029b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Using the above dataset, build a SVM classifer \n",
    "# a) vary the C and gamma values from 50 < C < 200 & 1 < gamma < 20, quote the score values\n",
    "# b) use the predict_proba module to plot the probabilities as a shaded color plot\n",
    "# i.e. ax.scatter(data['X1'], data['X2'], s=30, c=data['Probability'], cmap='Reds')\n",
    "# c) try this for three different C/gamma values"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
