21-SVM中的核函数.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div  align=\"center\">    \n",
    "    <img src = './img/27.jpg', width=600, height=200/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "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": [
    "# 数据的准备\n",
    "x = np.arange(-4, 5, 1)\n",
    "y = np.array((x >= -2) & (x <= 2), dtype='int')\n",
    "plt.scatter(x[y==0], [0]*len(x[y==0]))\n",
    "plt.scatter(x[y==1], [0]*len(x[y==1]))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义我们的高斯核\n",
    "def gaussian(x, l):\n",
    "    gamma = 1.0\n",
    "    return np.exp(-gamma * (x-l)**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "l1, l2 = -1, 1\n",
    "\n",
    "X_new = np.empty((len(x), 2))\n",
    "for i, data in enumerate(x):\n",
    "    X_new[i, 0] = gaussian(data, l1)\n",
    "    X_new[i, 1] = gaussian(data, l2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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_new[y==0,0], X_new[y==0,1])\n",
    "plt.scatter(X_new[y==1,0], X_new[y==1,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "END"
   ]
  }
 ],
 "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": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}