Skip to content

Instantly share code, notes, and snippets.

@bamos
Created June 9, 2016 18:16
Show Gist options
  • Save bamos/b575f8179a67d26cb8228e4f11dd7a32 to your computer and use it in GitHub Desktop.
Save bamos/b575f8179a67d26cb8228e4f11dd7a32 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Automatically created module for IPython interactive environment\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAO0AAAC1CAYAAACzkHgVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMzpqORSPAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109996630>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAO0AAAC1CAYAAACzkHgVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1099906a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(__doc__)\n",
"%matplotlib inline\n",
"\n",
"# Code source: Gaël Varoquaux\n",
"# Modified for documentation by Jaques Grobler\n",
"# License: BSD 3 clause\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import svm\n",
"\n",
"# we create 40 separable points\n",
"np.random.seed(0)\n",
"X = np.r_[np.random.randn(20, 2) - [2, 2], np.random.randn(20, 2) + [2, 2]]\n",
"Y = np.array([0] * 20 + [1] * 20)\n",
"\n",
"# figure number\n",
"fignum = 1\n",
"\n",
"# fit the model\n",
"for name, penalty in (('unreg', 1), ('reg', 0.05)):\n",
"\n",
" clf = svm.SVC(kernel='linear', C=penalty)\n",
" clf.fit(X, Y)\n",
"\n",
" # get the separating hyperplane\n",
" w = clf.coef_[0]\n",
" a = -w[0] / w[1]\n",
" xx = np.linspace(-5, 5)\n",
" yy = a * xx - (clf.intercept_[0]) / w[1]\n",
"\n",
" # plot the parallels to the separating hyperplane that pass through the\n",
" # support vectors\n",
" margin = 1 / np.sqrt(np.sum(clf.coef_ ** 2))\n",
" yy_down = yy + a * margin\n",
" yy_up = yy - a * margin\n",
"\n",
" # plot the line, the points, and the nearest vectors to the plane\n",
" plt.figure(fignum, figsize=(4, 3))\n",
" plt.clf()\n",
" plt.plot(xx, yy, 'k-')\n",
" plt.plot(xx, yy_down, 'k--')\n",
" plt.plot(xx, yy_up, 'k--')\n",
"\n",
" plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1], s=80,\n",
" facecolors='none', zorder=10)\n",
" plt.scatter(X[:, 0], X[:, 1], c=Y, zorder=10, cmap=plt.cm.Paired)\n",
"\n",
" plt.axis('tight')\n",
" x_min = -4.8\n",
" x_max = 4.2\n",
" y_min = -6\n",
" y_max = 6\n",
"\n",
" XX, YY = np.mgrid[x_min:x_max:200j, y_min:y_max:200j]\n",
" Z = clf.predict(np.c_[XX.ravel(), YY.ravel()])\n",
"\n",
" # Put the result into a color plot\n",
" Z = Z.reshape(XX.shape)\n",
" plt.figure(fignum, figsize=(4, 3))\n",
" plt.pcolormesh(XX, YY, Z, cmap=plt.cm.Paired)\n",
"\n",
" plt.xlim(x_min, x_max)\n",
" plt.ylim(y_min, y_max)\n",
"\n",
" plt.xticks(())\n",
" plt.yticks(())\n",
" fignum = fignum + 1\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"Y_2 = np.hstack([Y, Y])\n",
"X_2 = np.vstack([X, X])"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADtCAYAAAAcNaZ2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1091deb00>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAO0AAAC1CAYAAACzkHgVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1091de9e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.clf()\n",
"\n",
"# figure number\n",
"fignum = 1\n",
"\n",
"# fit the model\n",
"for name, penalty in (('unreg', 1), ('reg', 0.05)):\n",
"\n",
" clf = svm.SVC(kernel='linear', C=penalty)\n",
" clf.fit(X_2, Y_2)\n",
"\n",
" # get the separating hyperplane\n",
" w = clf.coef_[0]\n",
" a = -w[0] / w[1]\n",
" xx = np.linspace(-5, 5)\n",
" yy = a * xx - (clf.intercept_[0]) / w[1]\n",
"\n",
" # plot the parallels to the separating hyperplane that pass through the\n",
" # support vectors\n",
" margin = 1 / np.sqrt(np.sum(clf.coef_ ** 2))\n",
" yy_down = yy + a * margin\n",
" yy_up = yy - a * margin\n",
"\n",
" # plot the line, the points, and the nearest vectors to the plane\n",
" plt.figure(fignum, figsize=(4, 3))\n",
" plt.clf()\n",
" plt.plot(xx, yy, 'k-')\n",
" plt.plot(xx, yy_down, 'k--')\n",
" plt.plot(xx, yy_up, 'k--')\n",
"\n",
" plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1], s=80,\n",
" facecolors='none', zorder=10)\n",
" plt.scatter(X_2[:, 0], X_2[:, 1], c=Y_2, zorder=10, cmap=plt.cm.Paired)\n",
"\n",
" plt.axis('tight')\n",
" x_min = -4.8\n",
" x_max = 4.2\n",
" y_min = -6\n",
" y_max = 6\n",
"\n",
" XX, YY = np.mgrid[x_min:x_max:200j, y_min:y_max:200j]\n",
" Z = clf.predict(np.c_[XX.ravel(), YY.ravel()])\n",
"\n",
" # Put the result into a color plot\n",
" Z = Z.reshape(XX.shape)\n",
" plt.figure(fignum, figsize=(4, 3))\n",
" plt.pcolormesh(XX, YY, Z, cmap=plt.cm.Paired)\n",
"\n",
" plt.xlim(x_min, x_max)\n",
" plt.ylim(y_min, y_max)\n",
"\n",
" plt.xticks(())\n",
" plt.yticks(())\n",
" fignum = fignum + 1\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment