{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 4. SVM线性和非线性拟合" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "from scipy import io as spio\n", "from matplotlib import pyplot as plt\n", "from sklearn import svm\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_data(X,y):\n", " plt.figure(figsize=(10,8))\n", " pos = np.where(y==1) \n", " neg = np.where(y==0) \n", " p1, = plt.plot(np.ravel(X[pos,0]),np.ravel(X[pos,1]),'ro',markersize=8)\n", " p2, = plt.plot(np.ravel(X[neg,0]),np.ravel(X[neg,1]),'g^',markersize=8)\n", " plt.xlabel(\"X1\")\n", " plt.ylabel(\"X2\")\n", " plt.legend([p1,p2],[\"y==1\",\"y==0\"])\n", " return plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_decisionBoundary(X,y,model,class_='linear'):\n", " plt = plot_data(X, y)\n", " \n", " if class_=='linear':\n", " w = model.coef_\n", " b = model.intercept_\n", " xp = np.linspace(np.min(X[:,0]),np.max(X[:,1]),100)\n", " yp = -(w[0,0]*xp+b)/w[0,1]\n", " plt.plot(xp,yp,'b-',linewidth=2.0)\n", " plt.title(\"Linear fit\")\n", " plt.show()\n", " else: \n", " x_1 = np.transpose(np.linspace(np.min(X[:,0]),np.max(X[:,0]),100).reshape(1,-1))\n", " x_2 = np.transpose(np.linspace(np.min(X[:,1]),np.max(X[:,1]),100).reshape(1,-1))\n", " X1,X2 = np.meshgrid(x_1,x_2)\n", " vals = np.zeros(X1.shape)\n", " for i in range(X1.shape[1]):\n", " this_X = np.hstack((X1[:,i].reshape(-1,1),X2[:,i].reshape(-1,1)))\n", " vals[:,i] = model.predict(this_X)\n", " plt.title(\"Nonlinear fit\") \n", " plt.contour(X1,X2,vals,[0,1],color='blue')\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 使用线性拟合方式" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<module 'matplotlib.pyplot' from 'C:\\Users\\Techik\\Anaconda2\\envs\\gluon\\lib\\site-packages\\matplotlib\\pyplot.pyc'>" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dn7mhU5M8VhMAMB0CGXKFrs/c0KkJg9UEAEyHmfqRKzN1fXbetDNQVekzl04N\n56v5klpNYHB4UBv3bdSjtz2qVS2rEvmZABaHDhlyg67P3NGpybc83NTCndIoGjpkyA26PnPHuo/5\nVX9Ty9YNWzPZJZsYKvnvFkVAhwy5QdcHyMdNLdwpjSIydw9dw7yUy2Xv6+sLXQYApM7g8KAu23GZ\nKucqb29buWylTm45makuWccTHXqw/0GNjo1qxdIV2nT1JrpkyCwzO+Lu5dmOo0MGADmRh6lMuFMa\nRUUgA4AcyMtNLXkIlcBCEMiQKO6cAuKRh0ln8xIqgYUgkCFRebgdH0ijPNzUkodQCSwU014gMXm5\nHR9IozxMZZKHUAksFIEMiWl0Oz53TgGoyUOoBBaKS5ZIBHdOAQAwPQIZEsGdUwAATI9Ahthx5xQA\nADMjkCF23DkFAMDMCGSIHXdOAQAwM+6yROy4cwoAgJnRIQMAAAiMQAYAABBYbIHMzC42s2fM7LiZ\nvWhmWxocc62ZvWFmR6sf98VVDwAAQFrFOYbsnKTfcPfnzew8SUfM7FvufqzuuL9y95tjrAMAACDV\nYuuQufuguz9f/XpY0nFJF8X18wAAALIqkTFkZrZW0tWSnm2w+0Nm9oKZPWVm702iHgAAgDSJfdoL\nM2uRtE/Sp939zbrdz0u6xN1HzOxGSX8i6fIGj3GnpDslac2aNTFXDAAAkKxYO2RmtlxRGPtDd//j\n+v3u/qa7j1S/flLScjO7oMFxD7h72d3LbW1tcZYMAACQuDjvsjRJD0o67u5fmuaYVdXjZGbXVOsZ\niqsmAACANIrzkuWHJX1C0t+Y2dHqtt+UtEaS3P1rkm6TtNnMzkn6J0kb3d1jrAkAACB1Ygtk7n5A\nks1yzP2S7o+rBgAAgCxgpn4AAIDACGQAAACBEcgAAAACI5ABaIrB4UFt2LtBp0ZOhS4FADKHQAag\nKXr29+jAKwfU852e0KUAQOYQyAAs2uDwoPYc3aNxH9eeo3vokgHAPBHIACxaz/4ejfu4JGnMx+iS\npRiXloF0IpABWJRad2x0bFSSNDo2Spcsxbi0DKQTgQzAokzsjtXQJUsnLi0D6UUgA7Bg9d2xGrpk\n6cSlZSC9CGQAFqxRd6wmrW/4RR1DxaVlIN0IZAAW7NDAoSndsZrRsVEdHDiYcEWzK+oYKi4tA+lm\n7h66hnkpl8ve19cXugwAGTQ4PKjLdlymyrmKVi5bqZNbTmpVy6rQZcVu4vOuV6TzAIRgZkfcvTzb\ncXTIABRGUcdQZfHSMlA0BDIgRkUdr5RGRR5DlcVLy0DRLAtdAJBnE8cr7bxpZ+hyCm2mMVR5/930\n39UfugQAs6BDBsSEOZ/Sg+leHnfIAAAMaUlEQVQ5AKQdgQyISVHHK6URY6gApB2BDIhBkccrpRFj\nqDAbxnsiNMaQATEo8nilNGIMFWbDeE+ERocMaDLGKwHZwnhPpAGBDGgyxisB2cJ4T6QBgQxoMsYr\nAdnBeE+kBWPIgCZjvBKQHYz3RFrQIQMAFBLjPZEmBDIAQCEx3hNpQiADABQS4z2RJowhAwAUEuM9\nkSZ0yAAAAAIjkAEAAARGIAOAGLFGIoC5IJABQIwmrpEIANMhkAFATFgjEcBcEcgAICaskQhgrghk\nABAD1kgEMB8EMgCIwUxrJAJAPQIZADQZayQCmC8CGQA0GWskApgvAhkANBlrJAKYL9ayBIAmY41E\nAPNFhwwAACAwAhkAAEBgBDIAAIDACGQAAACBEcgAAAACI5ABAAAERiADAAAIjEAGAAAQGIEMAAAg\nMAIZgEwYHB7Uhr0bWJgbQC4RyABkQs/+Hh145QALcwPIJQIZgNQbHB7UnqN7NO7j2nN0D10yALlD\nIAOQej37ezTu45KkMR+jSzZPXO4F0o9ABhRAlt+Qa92x0bFRSdLo2Chdsnnici+QfgQyoACy/IY8\nsTtWQ5ds7rjcC2QDgQzIuSy/Idd3x2roks0dl3uBbCCQATmX5TfkRt2xmqw9lxC43AtkR2yBzMwu\nNrNnzOy4mb1oZlsaHGNmtsPMXjaz75rZ++OqByiirL8hHxo4NKU7VjM6NqqDAwcTrihbuNwLZMey\nGB/7nKTfcPfnzew8SUfM7FvufmzCMb8g6fLqx89K2l39DKAJZnpD3nnTzkBVzV3/Xf2hS8is2S73\nbt2wVataVgWqDkC92Dpk7j7o7s9Xvx6WdFzSRXWH3Srp9zxyWNL5ZnZhXDUBRcL4q2Ljci+QLYmM\nITOztZKulvRs3a6LJL064fsBTQ1tABaAN+Ri43IvkC1xXrKUJJlZi6R9kj7t7m/W727wT7zBY9wp\n6U5JWrNmTdNrBPKIN+Riy9Ll3sHhQW3ct1GP3vYol1FRWLEGMjNbriiM/aG7/3GDQwYkXTzh+9WS\n/qH+IHd/QNIDklQul6cENgBTZekNGcU2cZ68LIxtBOIQ512WJulBScfd/UvTHPaYpE9W77Zsl/SG\nuw/GVRMAIF2yPE8e0ExxjiH7sKRPSLrezI5WP240s181s1+tHvOkpJOSXpb0dUkdMdYDAEiZLM+T\nBzSTuWfrCmC5XPa+vr7QZQAAFmlweFCX7bhMlXOVt7etXLZSJ7ecZCwZcsPMjrh7ebbjmKkfABAE\nE9cC7yCQAQASxzx5wGQEMgBA4pgnD5iMQAYASBzz5AGTxT4xLAAA9ZgnD5iMDhkAAEBgBDIAAIDA\nCGQAAACBEcgAAAACI5ABAAAERiADAAAIjEAGAAAQGIEMAAAgMAIZAABAYAQyAACAwAhkAAAAgRHI\nAAAAAiOQAQAABEYgAwAACIxABgAAEBiBDAAAIDACGQAAQGAEMgAAgMAIZAAAAIERyAAAAAIjkAEA\nAARGIAMAAAiMQAYAABAYgQwAACAwAhkAAEBgBDIAAIDACGQAAACBEcgAAAACI5ABAAAERiADAAAI\njEAGAAAQGIEMAAAgMAIZAABAYAQyAACAwAhkAAAAgRHIAAAAAiOQAUADg8OD2rB3g06NnApdCoAC\nIJABQAM9+3t04JUD6vlOT+hSABQAgQwA6gwOD2rP0T0a93HtObqHLhmA2BHIAKBOz/4ejfu4JGnM\nx+iSAYgdgQwAJqh1x0bHRiVJo2OjdMkAxI5ABgATTOyO1dAlAxA3AhkAVNV3x2rokgGIG4EMAKoa\ndcdq6JIBiBOBDACqDg0cmtIdqxkdG9XBgYMJVwSgKJaFLgAA0qL/rv7QJQAoKDpkAAAAgRHIAAAA\nAiOQAQAABEYgAwAACIxABgAAEBiBDAAAILDYApmZ/a6ZnTaz702z/1oze8PMjlY/7ourFgAAgDSL\ncx6yvZLul/R7MxzzV+5+c4w1AAAApF5sHTJ33y/ph3E9PgAAQF6EHkP2ITN7wcyeMrP3Bq4FAAAg\niJBLJz0v6RJ3HzGzGyX9iaTLGx1oZndKulOS1qxZk1yFAAAACQjWIXP3N919pPr1k5KWm9kF0xz7\ngLuX3b3c1taWaJ0AAABxCxbIzGyVmVn162uqtQyFqgcAACCU2C5ZmtkfSbpW0gVmNiCpW9JySXL3\nr0m6TdJmMzsn6Z8kbXR3j6seAACAtLKsZSAzOyPp7xfwTy+QdLbJ5WQN54BzUPTnL3EOiv78Jc5B\n0Z+/lOw5uMTdZx1vlblAtlBm1ufu5dB1hMQ54BwU/flLnIOiP3+Jc1D05y+l8xyEnvYCAACg8Ahk\nAAAAgRUpkD0QuoAU4BxwDor+/CXOQdGfv8Q5KPrzl1J4DgozhgwAACCtitQhAwAASCUCGQAAQGC5\nC2Rm9lEz+z9m9rKZ3dtg/7vM7NHq/mfNbG3yVcZrDufgdjM7Y2ZHqx+bQtQZFzP7XTM7bWbfm2a/\nmdmO6vn5rpm9P+ka4zSH53+tmb0x4fd/X9I1xsnMLjazZ8zsuJm9aGZbGhyT99fAXM5B3l8HJTN7\nzsxeqJ6DbQ2Oye37wRyff67fCyTJzJaaWb+ZPd5gX7p+/+6emw9JSyWdkHSZpBWSXpB0Rd0xHZK+\nVv16o6RHQ9cd4BzcLun+0LXGeA5+TtL7JX1vmv03SnpKkklql/Rs6JoTfv7XSno8dJ0xPv8LJb2/\n+vV5kv62wX8DeX8NzOUc5P11YJJaql8vl/SspPa6Y3L7fjDH55/r94Lqc/x1SQ83eq2n7feftw7Z\nNZJedveT7j4q6RFJt9Ydc6ukh6pff1PSDbU1NXNiLucg19x9v6QfznDIrZJ+zyOHJZ1vZhcmU138\n5vD8c83dB939+erXw5KOS7qo7rC8vwbmcg5yrfq7Hal+u7z6UX8XW27fD+b4/HPNzFZLuknS70xz\nSKp+/3kLZBdJenXC9wOa+j+ht49x93OS3pDUmkh1yZjLOZCkj1cv1XzTzC5OprTUmOs5yrMPVS9l\nPGVm7w1dTFyqlyCuVtQdmKgwr4EZzoGU89dB9XLVUUmnJX3L3ad9HeTx/WAOz1/K93vBVyR1SRqf\nZn+qfv95C2SNkm39XwRzOSbL5vL8/kzSWne/UtJf6p2/EIoi76+B2TyvaG21n5H03yX9SeB6YmFm\nLZL2Sfq0u79Zv7vBP8nda2CWc5D714G7j7n7VZJWS7rGzN5Xd0iuXwdzeP65fS8ws5slnXb3IzMd\n1mBbsN9/3gLZgKSJCX+1pH+Y7hgzWybpx5WvyzuzngN3H3L3H1W//bqkDyRUW1rM5XWSW+7+Zu1S\nhrs/KWm5mV0QuKymMrPlioLIH7r7Hzc4JPevgdnOQRFeBzXu/rqkb0v6aN2uvL8fSJr++ef8veDD\nkm4xs79TNHTnejP7g7pjUvX7z1sg+2tJl5vZpWa2QtEgvcfqjnlM0i9Xv75N0tNeHdGXE7Oeg7qx\nMrcoGl9SJI9J+mT1Trt2SW+4+2DoopJiZqtq4yTM7BpF/x8YCltV81Sf24OSjrv7l6Y5LNevgbmc\ngwK8DtrM7Pzq1ysl/byk79cdltv3g7k8/zy/F7j7Z919tbuvVfQ++LS7/1LdYan6/S8L9YPj4O7n\nzOzXJP2ForsNf9fdXzSzz0vqc/fHFP1P6vfN7GVFSXhjuIqbb47n4G4zu0XSOUXn4PZgBcfAzP5I\n0R1kF5jZgKRuRQNa5e5fk/SkorvsXpb0/yT9SphK4zGH53+bpM1mdk7SP0namJc3oaoPS/qEpL+p\njp+RpN+UtEYqxmtAczsHeX8dXCjpITNbqihs/k93f7xA7wdzef65fi9oJM2/f5ZOAgAACCxvlywB\nAAAyh0AGAAAQGIEMAAAgMAIZAABAYAQyAACAwAhkAArFzC42s/9rZu+pfv/Pq99fYmZ/bmavm9nj\noesEUCwEMgCF4u6vStot6QvVTV+Q9IC7/72kXkXzdwFAoghkAIroy5LazezTkv61pP8mSe7+vyUN\nhywMQDHlaqZ+AJgLd3/LzDol/bmkf+vuo6FrAlBsdMgAFNUvSBqU9L7QhQAAgQxA4ZjZVZL+jaR2\nSffULbIMAIkjkAEoFDMzRYP6P+3urygayP/FsFUBKDoCGYCi+U+SXnH3b1W/3yXpX5rZBjP7K0nf\nkHSDmQ2Y2b8LViWAQjF3D10DAABAodEhAwAACIxABgAAEBiBDAAAIDACGQAAQGAEMgAAgMAIZAAA\nAIERyAAAAAL7/0aW7B47WIVNAAAAAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x18a40080>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data1 = spio.loadmat('../data/4-SVM/data1.mat')\n", "X_linear_ex = data1['X']\n", "y_linear_ex = data1['y']\n", "y_linear_ex = np.ravel(y_linear_ex)\n", "plot_data(X_linear_ex,y_linear_ex)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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do2ZXzWaVrAPELnVCqNET5eXSjju2bcoKC/3z5eXZ/foA/iubK2RfSDrYOTdM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\n1YPs41Yk4mBDh07yyZZbSo8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"text/plain": [ "<matplotlib.figure.Figure at 0x18ac9fd0>" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[0]\n" ] } ], "source": [ "model = svm.SVC(C=1.0,kernel='linear').fit(X_linear_ex,y_linear_ex) \n", "plot_decisionBoundary(X_linear_ex, y_linear_ex, model)\n", "\n", "# predict the unkonwn data by using model\n", "predict_x = [[ 2 , 2 ]]\n", "result = model.predict(predict_x)\n", "print result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 使用非线性进行拟合" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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Macj8ENqOPTSNnQf6v9PPOq7vYAPfGZjy/qFfHWI9f9XD8BmwmX81U0tLlnvu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"text/plain": [ "<matplotlib.figure.Figure at 0x18d877b8>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data2 = spio.loadmat('../data/4-SVM/data2.mat')\n", "X_Nonlinear_ex = data2['X']\n", "y_Nonlinear_ex = data2['y']\n", "y_Nonlinear_ex = np.ravel(y_Nonlinear_ex)\n", "plt = plot_data(X_Nonlinear_ex,y_Nonlinear_ex)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\Techik\\Anaconda2\\envs\\gluon\\lib\\site-packages\\matplotlib\\contour.py:1180: UserWarning: No contour levels were found within the data range.\n", " warnings.warn(\"No contour levels were found\"\n", "C:\\Users\\Techik\\Anaconda2\\envs\\gluon\\lib\\site-packages\\matplotlib\\contour.py:967: UserWarning: The following kwargs were not used by contour: 'color'\n", " s)\n" ] }, { "data": { "image/png": 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7+SkNhNOcgDLkFJQcPetYCKdWsuTkZFx99dW48847kZiYaPs84dx8881o2rQpzj33XDz0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5z01nFZmbpGv359YPJkes2cTXtKt+In0H3Kk1i/bBM6Z/fFj1/xuSXEw9s30Uu1cYLysnKMfawY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\n", "text/plain": [ "<matplotlib.figure.Figure at 0x18ad85f8>" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[0]\n" ] } ], "source": [ "model = svm.SVC(gamma=100).fit(X_Nonlinear_ex,y_Nonlinear_ex)\n", "plot_decisionBoundary(X_Nonlinear_ex, y_Nonlinear_ex, model,class_='notLinear')\n", "\n", "# predict the unkonwn data by using model\n", "predict_x = [[0.4 , 0.7 ]]\n", "result = model.predict(predict_x)\n", "print result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 对一个数据进行线性和非线性拟合对比" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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7MZFfwBFypqXfsYWcPQwN5wpAE2ragF6VtUVPyDVN/Y6tyFqnkOv/+hFgXRiA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\n", "text/plain": [ "<matplotlib.figure.Figure at 0x18c11710>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data3 = spio.loadmat('../data/4-SVM/data3.mat')\n", "X_Unknown= data3['X']\n", "y_Unknown = data3['y']\n", "y_Unknown = np.ravel(y_Unknown)\n", "plt = plot_data(X_Unknown,y_Unknown)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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COZFMKDMnhUWZOZHIqa52a07GjHE/n3aaW7Harl244xIJmzJzIqlEseYrV3Fd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\ndgHWuXtL4fZqYI94w60D1ZYHSVK74eA/2P/h0EGrmT8fBg7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5pmROREREJMeUzImIiIjk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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x1d195160>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# use the linear to predict\n", "model = svm.SVC(C=1.0,kernel='linear').fit(X_Unknown,y_Unknown) \n", "plot_decisionBoundary(X_Unknown, y_Unknown, model)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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ZnMocROK1KTU/U/H6cVpGBpCfb9WmBYPW1/x86/KWMnE5ObEfz+bfh+8W/YhA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\nP+5a8APO+NapWYdVGmWYSRbHbM88VSTzFItISJS0lUGBN2D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JBzOyjUpEREmbiMjO/hF4\nx93nVp/fC3zOzEaZ2YvAo8CZZrbGzM7JLEoRKR1z96xjEBEREZFOqNImIiIiEgAlbSIiIiIBUNIm\nIiIiEgAlbSIiIiIBUNImIiIiEgAlbSIiIiIBUNImIiIiEgAlbSIiIiIB+H9lKpKWm0otVgAAAABJ\nRU5ErkJggg==\n", "text/plain": [ "<matplotlib.figure.Figure at 0x1d1afda0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# use the notlinear to predict\n", "model = svm.SVC(gamma=100).fit(X_Unknown,y_Unknown)\n", "plot_decisionBoundary(X_Unknown, y_Unknown, model,class_='notLinear')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 讨论:\n", "1.怎么判别拟合的好坏? \n", "2.支持向量机的优势和不足在哪? " ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 2 }