1750 lines
847 KiB
Plaintext
1750 lines
847 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"**Chapter 5 – Support Vector Machines**\n",
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"\n",
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"_This notebook contains all the sample code and solutions to the exercices in chapter 5._"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Setup"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"First, let's make sure this notebook works well in both python 2 and 3, import a few common modules, ensure MatplotLib plots figures inline and prepare a function to save the figures:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"# To support both python 2 and python 3\n",
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"from __future__ import division, print_function, unicode_literals\n",
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"\n",
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"# Common imports\n",
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"import numpy as np\n",
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"import numpy.random as rnd\n",
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"import os\n",
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"\n",
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"# to make this notebook's output stable across runs\n",
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"rnd.seed(42)\n",
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"\n",
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"# To plot pretty figures\n",
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"%matplotlib inline\n",
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"import matplotlib\n",
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"import matplotlib.pyplot as plt\n",
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"plt.rcParams['axes.labelsize'] = 14\n",
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"plt.rcParams['xtick.labelsize'] = 12\n",
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"plt.rcParams['ytick.labelsize'] = 12\n",
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"\n",
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"# Where to save the figures\n",
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"PROJECT_ROOT_DIR = \".\"\n",
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"CHAPTER_ID = \"svm\"\n",
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"\n",
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"def save_fig(fig_id, tight_layout=True):\n",
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" path = os.path.join(PROJECT_ROOT_DIR, \"images\", CHAPTER_ID, fig_id + \".png\")\n",
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" print(\"Saving figure\", fig_id)\n",
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" if tight_layout:\n",
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" plt.tight_layout()\n",
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" plt.savefig(path, format='png', dpi=300)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Large margin classification"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"SVC(C=inf, cache_size=200, class_weight=None, coef0=0.0,\n",
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" decision_function_shape=None, degree=3, gamma='auto', kernel='linear',\n",
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" max_iter=-1, probability=False, random_state=None, shrinking=True,\n",
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" tol=0.001, verbose=False)"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"from sklearn.svm import SVC\n",
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"from sklearn import datasets\n",
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"\n",
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"iris = datasets.load_iris()\n",
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"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
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"y = iris[\"target\"]\n",
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"\n",
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"setosa_or_versicolour = (y == 0) | (y == 1)\n",
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"X = X[setosa_or_versicolour]\n",
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"y = y[setosa_or_versicolour]\n",
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"\n",
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"# SVM Classifier model\n",
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"svm_clf = SVC(kernel=\"linear\", C=float(\"inf\"))\n",
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"svm_clf.fit(X, y)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Saving figure large_margin_classification_plot\n"
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]
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},
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{
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"data": {
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TpgDw1ltvcffuXYMjEsI8SXY3E+k1uLCysmLz5s1s2bKFWrVqsXTpUipXrsyRI0coVaoU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\nS0REREREJIw0yRIREREREQmj/wONtJhqWkJrQwAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x105ab43c8>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# Bad models\n",
|
||
"x0 = np.linspace(0, 5.5, 200)\n",
|
||
"pred_1 = 5*x0 - 20\n",
|
||
"pred_2 = x0 - 1.8\n",
|
||
"pred_3 = 0.1 * x0 + 0.5\n",
|
||
"\n",
|
||
"def plot_svc_decision_boundary(svm_clf, xmin, xmax):\n",
|
||
" w = svm_clf.coef_[0]\n",
|
||
" b = svm_clf.intercept_[0]\n",
|
||
"\n",
|
||
" # At the decision boundary, w0*x0 + w1*x1 + b = 0\n",
|
||
" # => x1 = -w0/w1 * x0 - b/w1\n",
|
||
" x0 = np.linspace(xmin, xmax, 200)\n",
|
||
" decision_boundary = -w[0]/w[1] * x0 - b/w[1]\n",
|
||
"\n",
|
||
" margin = 1/w[1]\n",
|
||
" gutter_up = decision_boundary + margin\n",
|
||
" gutter_down = decision_boundary - margin\n",
|
||
"\n",
|
||
" svs = svm_clf.support_vectors_\n",
|
||
" plt.scatter(svs[:, 0], svs[:, 1], s=180, facecolors='#FFAAAA')\n",
|
||
" plt.plot(x0, decision_boundary, \"k-\", linewidth=2)\n",
|
||
" plt.plot(x0, gutter_up, \"k--\", linewidth=2)\n",
|
||
" plt.plot(x0, gutter_down, \"k--\", linewidth=2)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(12,2.7))\n",
|
||
"\n",
|
||
"plt.subplot(121)\n",
|
||
"plt.plot(x0, pred_1, \"g--\", linewidth=2)\n",
|
||
"plt.plot(x0, pred_2, \"m-\", linewidth=2)\n",
|
||
"plt.plot(x0, pred_3, \"r-\", linewidth=2)\n",
|
||
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\", label=\"Iris-Versicolour\")\n",
|
||
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\", label=\"Iris-Setosa\")\n",
|
||
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
||
"plt.ylabel(\"Petal width\", fontsize=14)\n",
|
||
"plt.legend(loc=\"upper left\", fontsize=14)\n",
|
||
"plt.axis([0, 5.5, 0, 2])\n",
|
||
"\n",
|
||
"plt.subplot(122)\n",
|
||
"plot_svc_decision_boundary(svm_clf, 0, 5.5)\n",
|
||
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\")\n",
|
||
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\")\n",
|
||
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
||
"plt.axis([0, 5.5, 0, 2])\n",
|
||
"\n",
|
||
"save_fig(\"large_margin_classification_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Sensitivity to feature scales"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 4,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure sensitivity_to_feature_scales\n"
|
||
]
|
||
},
|
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{
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"data": {
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5U/lVq1Yt9pTjFStW0C00lKa2aYEHjx6jz9Rt7D/6OhAAnCc1/SnWTGhLSIN6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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x105ba0160>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"Xs = np.array([[1, 50], [5, 20], [3, 80], [5, 60]]).astype(np.float64)\n",
|
||
"ys = np.array([0, 0, 1, 1])\n",
|
||
"svm_clf = SVC(kernel=\"linear\", C=100)\n",
|
||
"svm_clf.fit(Xs, ys)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(12,3.2))\n",
|
||
"plt.subplot(121)\n",
|
||
"plt.plot(Xs[:, 0][ys==1], Xs[:, 1][ys==1], \"bo\")\n",
|
||
"plt.plot(Xs[:, 0][ys==0], Xs[:, 1][ys==0], \"ms\")\n",
|
||
"plot_svc_decision_boundary(svm_clf, 0, 6)\n",
|
||
"plt.xlabel(\"$x_0$\", fontsize=20)\n",
|
||
"plt.ylabel(\"$x_1$ \", fontsize=20, rotation=0)\n",
|
||
"plt.title(\"Unscaled\", fontsize=16)\n",
|
||
"plt.axis([0, 6, 0, 90])\n",
|
||
"\n",
|
||
"from sklearn.preprocessing import StandardScaler\n",
|
||
"scaler = StandardScaler()\n",
|
||
"X_scaled = scaler.fit_transform(Xs)\n",
|
||
"svm_clf.fit(X_scaled, ys)\n",
|
||
"\n",
|
||
"plt.subplot(122)\n",
|
||
"plt.plot(X_scaled[:, 0][ys==1], X_scaled[:, 1][ys==1], \"bo\")\n",
|
||
"plt.plot(X_scaled[:, 0][ys==0], X_scaled[:, 1][ys==0], \"ms\")\n",
|
||
"plot_svc_decision_boundary(svm_clf, -2, 2)\n",
|
||
"plt.xlabel(\"$x_0$\", fontsize=20)\n",
|
||
"plt.title(\"Scaled\", fontsize=16)\n",
|
||
"plt.axis([-2, 2, -2, 2])\n",
|
||
"\n",
|
||
"save_fig(\"sensitivity_to_feature_scales_plot\")\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Sensitivity to outliers"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 5,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure sensitivity_to_outliers_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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Lg8FAly5dKFy4sEX1a5pGkyZNaNKkSZrHvP766+zYsSPFPLEKFVLPjRFC5F1P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\npZRSSimllFJupJMspZRSSimllHKj/wdnZNJrlQ/AdAAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x106901940>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"X_outliers = np.array([[3.4, 1.3], [3.2, 0.8]])\n",
|
||
"y_outliers = np.array([0, 0])\n",
|
||
"Xo1 = np.concatenate([X, X_outliers[:1]], axis=0)\n",
|
||
"yo1 = np.concatenate([y, y_outliers[:1]], axis=0)\n",
|
||
"Xo2 = np.concatenate([X, X_outliers[1:]], axis=0)\n",
|
||
"yo2 = np.concatenate([y, y_outliers[1:]], axis=0)\n",
|
||
"\n",
|
||
"svm_clf2 = SVC(kernel=\"linear\", C=10**9)#float(\"inf\"))\n",
|
||
"svm_clf2.fit(Xo2, yo2)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(12,2.7))\n",
|
||
"\n",
|
||
"plt.subplot(121)\n",
|
||
"plt.plot(Xo1[:, 0][yo1==1], Xo1[:, 1][yo1==1], \"bs\")\n",
|
||
"plt.plot(Xo1[:, 0][yo1==0], Xo1[:, 1][yo1==0], \"yo\")\n",
|
||
"plt.text(0.3, 1.0, \"Impossible!\", fontsize=24, color=\"red\")\n",
|
||
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
||
"plt.ylabel(\"Petal width\", fontsize=14)\n",
|
||
"plt.annotate(\"Outlier\",\n",
|
||
" xy=(X_outliers[0][0], X_outliers[0][1]),\n",
|
||
" xytext=(2.5, 1.7),\n",
|
||
" ha=\"center\",\n",
|
||
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
|
||
" fontsize=16,\n",
|
||
" )\n",
|
||
"plt.axis([0, 5.5, 0, 2])\n",
|
||
"\n",
|
||
"plt.subplot(122)\n",
|
||
"plt.plot(Xo2[:, 0][yo2==1], Xo2[:, 1][yo2==1], \"bs\")\n",
|
||
"plt.plot(Xo2[:, 0][yo2==0], Xo2[:, 1][yo2==0], \"yo\")\n",
|
||
"plot_svc_decision_boundary(svm_clf2, 0, 5.5)\n",
|
||
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
||
"plt.annotate(\"Outlier\",\n",
|
||
" xy=(X_outliers[1][0], X_outliers[1][1]),\n",
|
||
" xytext=(3.2, 0.08),\n",
|
||
" ha=\"center\",\n",
|
||
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
|
||
" fontsize=16,\n",
|
||
" )\n",
|
||
"plt.axis([0, 5.5, 0, 2])\n",
|
||
"\n",
|
||
"save_fig(\"sensitivity_to_outliers_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Large margin *vs* margin violations"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 6,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"array([ 1.])"
|
||
]
|
||
},
|
||
"execution_count": 6,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn import datasets\n",
|
||
"from sklearn.pipeline import Pipeline\n",
|
||
"from sklearn.preprocessing import StandardScaler\n",
|
||
"from sklearn.svm import LinearSVC\n",
|
||
"\n",
|
||
"iris = datasets.load_iris()\n",
|
||
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
|
||
"y = (iris[\"target\"] == 2).astype(np.float64) # Iris-Virginica\n",
|
||
"\n",
|
||
"scaler = StandardScaler()\n",
|
||
"svm_clf1 = LinearSVC(C=100, loss=\"hinge\")\n",
|
||
"svm_clf2 = LinearSVC(C=1, loss=\"hinge\")\n",
|
||
"\n",
|
||
"scaled_svm_clf1 = Pipeline((\n",
|
||
" (\"scaler\", scaler),\n",
|
||
" (\"linear_svc\", svm_clf1),\n",
|
||
" ))\n",
|
||
"scaled_svm_clf2 = Pipeline((\n",
|
||
" (\"scaler\", scaler),\n",
|
||
" (\"linear_svc\", svm_clf2),\n",
|
||
" ))\n",
|
||
"\n",
|
||
"scaled_svm_clf1.fit(X, y)\n",
|
||
"scaled_svm_clf2.fit(X, y)\n",
|
||
"\n",
|
||
"scaled_svm_clf2.predict([[5.5, 1.7]])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 7,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Convert to unscaled parameters\n",
|
||
"b1 = svm_clf1.decision_function([-scaler.mean_ / scaler.scale_])\n",
|
||
"b2 = svm_clf2.decision_function([-scaler.mean_ / scaler.scale_])\n",
|
||
"w1 = svm_clf1.coef_[0] / scaler.scale_\n",
|
||
"w2 = svm_clf2.coef_[0] / scaler.scale_\n",
|
||
"svm_clf1.intercept_ = np.array([b1])\n",
|
||
"svm_clf2.intercept_ = np.array([b2])\n",
|
||
"svm_clf1.coef_ = np.array([w1])\n",
|
||
"svm_clf2.coef_ = np.array([w2])\n",
|
||
"\n",
|
||
"# Find support vectors (LinearSVC does not do this automatically)\n",
|
||
"t = y * 2 - 1\n",
|
||
"support_vectors_idx1 = (t * (X.dot(w1) + b1) < 1).ravel()\n",
|
||
"support_vectors_idx2 = (t * (X.dot(w2) + b2) < 1).ravel()\n",
|
||
"svm_clf1.support_vectors_ = X[support_vectors_idx1]\n",
|
||
"svm_clf2.support_vectors_ = X[support_vectors_idx2]"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 8,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure regularization_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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pJCcns3v3btavX8/SpUvtNrDS09NZvXo1S5cu5ZlnnuHBBx+kQ4cO1K1b1yaF\nPeR+jvbv309qamq57JcQFcGo53sj1md6MlxcSqlCH8CHeQ8TsC7f8w+B5cCLQL2iyqiIR+5u2BcQ\nEKDIbSTKQx7l+mjSpEmhn0NRsT776jPlHuauNny9wTBlGTEmPekdE6CUg+uW0jzy4hUFZGRkqM8+\n+0wtWrRIPfnkk+r+++9Xbdu2Va1bt7a7/aVLlyznVA8PD9W+fXs1ePBgNW3atAqOXIhbZ9TzvRHr\nMz3pGZcedVBJhwvOBhYrpdKK3dgBSjNMIyMjg927dxMZGUlERATbt28nLc16t/z8/Cz3dIWGhtK2\nbdsibzJ2FKUUx48fx9fX124WqLvuuott27bRtWtXy7706NFD5k4RVZpS+s27oVdZRoxJT+URkwwX\nvD2dOHGCIUOGcPLkSau6uUWLFvz+++822ycnJzNx4kSrYYjmh9wfJhzBqOd7I9ZnetI7rvKeJ8tC\nKTW3LG9iJC4uLvTp04c+ffoAkJ2dzW+//UZkZKTlkZSUxKeffsqnn34KgJeXF71797Y0vIySwVDT\nNFq2bGl3nVKK69evc+PGDSIiIoiIiACgWrVqxMTEEBQUVJGhClFh9Jx3Q6+yjBiTnowYk6icmjVr\nRkxMDEopLl26ZEnCkZOTY3f7+Ph4vvnmG5vlwcHBxMTE2Cy/du0ax44dszTCjPDjUFQtRj3fG7E+\n05MR4ypqnqyT5HbZF0sp1UzPoEpLzyuIJpOJuLg4IiIiLL1dZ86csdomfwbD0NBQunfvTu3atXV5\nf72lpKQQFRVlaUAeP36c5ORku3OrbNy4ka5du+Lv7++ASIUou/xXsso674ZeZRkxJj2VV0zSkyVK\nIiUlha1bt1plRUxISKBt27Z88sknNtv/+uuv9O/fHwA3NzdLMo6+ffsybdq0ig5fVDFGPd8bsT7T\nU3nEVd49We/k+7cb8CywG9iRt6wH0BX4d0nfTNO0GsC7wF2AFxAPvKSU2lTI9s8AzwMuwAZgilLq\nZknf71Y4OTnRpk0b2rRpw+TJk1FKcerUKUuDy5zB8Oeff+bnn38GoHr16nTq1MkyJK9Xr154eXmV\nZ5gl5u3tzZAhQxgyZAgAWVlZdhtYiYmJDB8+HIDAwEBLAzIsLIzWrVtXaMxC3Co9593QqywjxqQn\nI8ZUmMpQB4nS8fb2ZujQoSXePicnh/bt23Py5EmuXbtGbGwssbGxuLi42N0+KiqKBQsW2AxFbN68\nuQxHFDaKUXVPAAAgAElEQVSMer43Yn2mJ6PGVdRkxJbGk6Zpq4B/KaVey7+NpmkvAm1L+X6JQKhS\n6rSmafcD6zVNC1ZKJRYoeyC5lVs/4A/gS2Au8FIp3q/MNE2znFTHjBkDwPnz5y29QxERERw4cICd\nO3eyc+dOXn/9dTRNo127dlb3dTVs2LAiwy5UjRo17C6/fv06999/P1FRUZYrgR999BHt27fnwIED\nFRylELdGz3k39CrLiDHpyYgxFaHS1UFCX3fddRcHDhxAKUVqaqqlvvP29ra7fUxMDN9//73N8tGj\nR/PRRx/ZLD9z5gxJSUkEBgZSv359GY54mzHq+d6I9ZmejBpXSRNfXAU6KqWOF1jeAohWZZgnS9O0\nA8AcpdQXBZavAU4qpV7Oe94PWKuUsmmtOHqYxpUrV9i+fbul0bVnzx6b1LQtWrSw6h1q1qyZIU++\nOTk5HDp0yNJrFxQUxNy5trfkHThwgO+++46wsDC6dOlCzZo1HRCtEKKqqqjhgnrUQXnrZbhgFXT2\n7Fn27t1rMxxxxIgRzJgxw2b7JUuW8OyzzwK594CbL9I++uijPProoxUdvhDiFulSB5UkBSG5V/Em\n2lk+ETh3q6kNAV8gHWhlZ91+4KF8z+sCOYCXnW2VkaSnp6stW7aoV155Rd1zzz3K1dXVJt13w4YN\n1YgRI9Q777yjDh48qHJychwddqnMnTvXsi81a9ZUYWFh6uWXX1bR0dGODs1QTCaTemHOC8pkMklZ\nQpQCFZDCXa86SBmwHhKO8cEHH6gOHTooLy8vqzp//vz5drd///331b333qsmT56sFi5cqNatW6d2\n7typLl++rFtMep2jjVpvSB0kyoMedVBJK6LngUxgGTAu77EMyABeuKU3zh228RPwbiHrjwP3FNje\nBATY2VYlJCTofXx1c/PmTbVnzx7173//Wz3wwAPK29vbptHl5eWlBg0apF5//XW1c+dOlZWV5eiw\ni/TLL7+oKVOmqODgYKv9eOONNxwdmqEYcX4LI5clhFl5N7L0rIOUNLKEHampqerAgQPqq6++UkeO\nHLG7zaRJk+zOu7h48WK728fExKgdO3aoP/74o8SNCiPOjWTUsoQw06MOKtFwQQBN0x4GpgLm3N9H\ngDeVUutLVIB1WRrwCbkJNYYopWxys2qath+Yr5TakPfcG0gmd/LjywW2VQABAQFW90HdcccdhhyS\nZ85gaB5eWFgGw+7du1v2xegZDLdt20ZERASPPfYYbdq0sdnm5Zdf5uLFi5b/n9shg6FSxpvfwshl\nCZFfeQ4X1LsOyluvSlqfCmF24sQJYmNjbYYjzps3j/vvv99m+7Fjx7J69WoAatWqZcmOOGPGDPr2\n7WuzvV7naKPWG1IHifKiRx1U4kaWnjRNWwkEAPcppbIK2WYNcEIpFZ73fADwkVLKz862qmbNmmRm\nZlotP3LkCHfccYfu8etNKfsZDPNzdnamc+fOlkaKkTIYlkRgYCCnTp2yPG/SpAlhYWG8+uqrVbbB\nteHrDYz9cizpTdKpnVCb1UNX3/INmLdDWeL2tmXLFrZs2WJ5Pnfu3PJsZOlaB+WtV7Nnz7Y879u3\nr90fvUKUxaxZs/j+++9JSEggJSXFsvzbb7+12yj765C/8r+9/8PU0ER1VZ0n+z3Jw8Mepl27dri5\nuZXoPdPT05n20jTeu/AeOa1yqHa0Go/7PM6i1xaV+uLvxYsXGf7ocCLqRqDuUGhHNPpc7sNnaz6j\nXr16pSoLpA4S+imPOqjCG1mapi0D2gN3KaXSi9huIPAhMAA4B3wObFdKzbSzrTInbDA3VI4ePcpv\nv/1mc0VDKcXixYvp1q0bXbt2pVatWnrunm7sZTA0mUyW9UbOYFiQUoqdO3daeu22bdvGlStX0DSN\nlJQUu41Fk8mEk5OTA6LVR/6ra0aZ38LIZQlRUHn1ZJVHHZS3vfRkiQp17do1Tp06RUJCAt27d7dp\npCilcPd2J+1yms1rN2/ezIABA2yWb926lerVq1uyI776yiu8/dZbmBpmkzoizXKu9/zUFac/nHnq\n6acJnz3b7tQw+WVlZfGXe+5h+/bt1Ah05uqoDEtZHmtdyErIpmfPnvzvxx8LzYJckNRBojyVa09W\nXkbBZkqpi5qmXaOIiYlVCbMLapoWACQAN8i9gZi8ch8HooBYoI1S6kze9v8EZgC1KGKOktJUbkeO\nHLEMZ6tRowZdu3YlLCyMfv36cdddd5WoDEfIn8EwMjKS3bt322QwbN68uaXBZfQMhjExMcTExFjS\n4ueXnp5OkyZNrHruKlsGw/xX18xu9Srb7VCWEAWVRyOrvOqgvG2lkSUMZcPXGxizagw3XG5AKpAK\n1c5WI7B6IJt/2kxgYKDNa9q3b09MTAyQO29oTWdnmvjUI6HzRW7c+edvjtrxNVnsNpr12/bg26oV\na9atK7ShlZWVRZtWrahfowZjBoQxPe1j0ptn2pS1enMEF7OyiD12rEQNLamDRHkq70bWWGCdUipT\n07RxFN3I+m9Zgiir0lRu8fHxLFmyhMjISGJiYsw3LNOjRw+2b99enmHqKiMjgz179liGF27bto20\nNOurVQ0bNrRqdLVt27ZS9A5FRUURGhpqtaxmzZrcd999fP755w6KqnSemfUM0aeirRq5Sik6NunI\nknlLpCwhilFRKdz1Io0sYTS3co5+7LHHOHToELGxsaSn/9l46davBbVqVf+zHKCjR1NiYhOJTkgg\nsGVLhg0bZklZ36VLF0tDaUDfvqQnJbFlzhxmfL2G6Ksnyf/FNpe1cPCj9J0zh9p+fvycb9iWnvsn\nRElV2nuy9HarldulS5fYtm0bkZGRNG3alClTpthss3XrVtasWWNprDRp0kSPkHWXnZ3N/v37LY2u\nyMhIq/HaAF5eXvTq1cuyL506daJ69eqFlOhYZ8+etbpH7dChQzz44IN2G1lXr14lKyvrlsZzVyZK\nKV6c9yILZi0ocw+lyWSi58CebP9hu2Ea3nrun6j8KmMj67333rP8yAwICKhUve9CmKWnpxPQqBER\n4eGgaSQkJ3PvnXeiaRovfrGWBQ+OQtM0TCYTLqNHk5WdbVNGSkoKdevW5eLFiwQ0asThN94g0MeH\njTt34uvpSYC3Nw99sIQdL8y3qoNOJifT9tlnSTx71iF1utRDwqzCGlmapr0E/ArsUUrZfpscrDyv\nID7//PMsWrTI8tycwXDChAn069evXN5TDwUzGEZGRnL69GmrbSpbBsOrV6/StGlTm3UffPABf//7\n3wkKCrLsS2hoKAEBAQ6ItPxs+HoDj/37MT6c9mGZh0I8F/4cb2x6g2l/mcaieYuKf0EF0HP/ROVX\nGRtZBZf5+flZGl35H02aNCEgIMCw9wSL29vKlSv5Yvlyvpk2zWr5hn07eSzyP3wYNoVhHbtjMpk4\nmpREwoULPL92LY2DgvDw8OD8+fP8+uuvaJrG+PHjOb1vH5vDw8nKzsbl0UcxmX+vaeDpWptOTZuz\n6aWXcM4bbjhg3jwCOnfmww8/rOhdl3pIWFRkIysS6ALcBHYAW/Ieu43Q6CrPRlZMTAybNm0iIiKC\nqKgoUlNTAXjvvff4+9//Xi7vWV5OnTplaXCZk4PkV1kzGC5YsIB58+Zx48YNq+Xz5s0jPDzcQVHp\nS880tSaTCY8OHqQ9mIbrF65c/e2qw3uzJA2vKKgyNrLGjRtnScF9+vRpcnJsMsNbadiwod1GmLkn\nTBphwhFGjxzJXd7ejMuXHVMpRY9lM9kVdpxuES3YMflVq3P0h7/+ys+XLvHxunVWZQW1aMELAwcy\nrm9fUtPSmPz++yQkJ7P75HHMEyfUc3fnwooVVmW9/uOP7D1wgHbt2tl8N5o1a0bv3r1132+ph0R+\nFTpcUNM0F6AX0AfoC3QGssnNtjSwLEGUVUWNhTeZTMTGxhIREcGgQYPs9pSMHz+epKQkS49KZclg\nGBkZyf79+20yGAYHB1v1Dvn52c1e7HBZWVns3bvXsi9RUVF89NFHDBo0yGbbbdu24eLiQkhISLEZ\nkYxCzzS1z4U/xxsn3oBWwDGY1tzxvVmShlcUVBkbWfnroezsbM6ePWsz/1FpGmENGjQoshHm4uJS\n3rslbkOD//IXJrRrx5AuXSzLNuzbydik/yO9eSa142uyutGTDOvY3bL+y927+TA2lq++/96qrGaN\nG7Nk1Cirsp77bDVvVP8WAoED8EhGT9ZO/qdVWc+tW8c3P/xA27ZtbeLz9/cnMTHRZvm1a9f4/PPP\nLd+RRo0a4ezsXOL9lnpI5OeQe7I0TfMF+gP3Aw8D2Uoph44xM8oNx0opfH19uXDhgmWZOYPh6tWr\n7Q51M5KrV6+yfft2S29XcRkMQ0NDad68uSGv9OTk5KCUsnuC7dmzJzt27MDDw4OePXtaeu66du3K\nuXPnGDVqFPFHjljSyDcPCmLt2rUOG36oZ5ra/L1Y5rIc3ZslaXiFPZW9kVWc7OxskpKSimyEZdu5\n1yU/cyPMPCFtwSGJ0girfBITE3Wrgy5evMj06dPZGRlJ5o0b1KxVi+6hoSxatKjI+50K9mTl78Wy\nnKML9GaVpCcL4HpGBvVem0DmyGxLWTXXOXPxpRW45X1ezT1ZB48c4cSJEyQkJFhS1SckJODp6cm7\n775rE/e+ffvo3Lmz5Xm1atXw9/cnNDTUMoFzYaQeEgVV5HDBh8ntvepH7gSOu4Ct5A4Z3KmUyiz0\nxRXAKI0sgKSkJEtvijmDobOzM6mpqXbvd7p8+bJhh+TduHGD3bt3Wxpd27dv5/r161bbNGzY0Gqu\nruDgYIcPPSuKUorJkyezefNmTpw4YbUuoFEjkpOT6dW6NaPDwvBydeVyWhofR0Sw7ehRGjduzMHY\n2Ar/4aJnmlqrXiwzB/dmSRpeYU9Vb2QVx9wIy//jMv8jMTGx2EaYr6+v3caX+a9R78G9HWVkZNC+\nbVvOnDlT5jrIPCfVjh076Nm6NaNDQ/8sKzKS7UeP0qNHj0LnpCp4T1b+Xiyzgr1Zf128mKGPP85j\njz1mVZb5nqwfZs7klQ0bWPjTV2Tef9O6DjoKNb+vzoy7hxA+fDj3zJ9/S/dkxcbG8tprr1m+I0lJ\nSQDcfffd/Pjjjzbb79y5k5EjR+amsq8G2y5tI7tJNvgAjaQeut1VZCPLBFwAFgP/V9QEjo5gpEZW\nQZcvX+bQoUM2KcnN6+rVq0erVq0sPUNhYWGGz2CYP5lGVchg+Msvv/DhypV0bNqUdf/8J019fCzb\nKKV4ed06AurV472ffyYxJYXEP/6o0IaWnmlqO9zVgRPXTtiU1cy9Gb9t/k23mEtD0vAKe273RlZx\ncnJyrHrCCjbGEhMTuXnT7pReFj4+PoUOR5RGWMXJyMjAv2FDWvj48MnUqVZ1kNnJ5GQeefNN4pOT\ni6yD8s9JtbaIska9+Wahc1KZswvumT+fpj4+PLNxVaFp15cMG8fJ5GS6hIeTeOaMzWfm4sWL+Pv5\ncVe7dlzPzCTZ+QpnnFJsymps8sYnuw7utWrx08GDnE5KKnN2wczMTMvFiKCgIJv1a9eu5dFHH7VZ\n7t3Ym+ABwTb1UHx8PBEREZbvSOPGjQ37+0aUXUU2siaSey9WH8ADiCS3F+tX4DdHt3CM3Mgqyo4d\nOxgwYAAZGRlWy3v16kVUVJSDoio5pRRHjhyx9NpFRETYZDB0cXGhR48elgakETMYtmzWDG9nZ7bO\nmUPNAifMY0lJtP7nn2PFa9WoQY2aNXnv/fcZMWJERYcqxG1DGlllk5OTwx9//GHTA2ZujJ06darY\nRlj9+vWLbIS5urpW0N5UbUXVQfll3rxJnzlzSMnO5vcCIzHM8s9JVVxZRc1JNWfWLLZ+9RWbXnih\n2HIGLlxI3wceYM68eeW+f3rKysoiMTHR5rvRuXNnpk6darP9ihUrmDhxouW5k5MTjRo1Yty4ccwr\nZN9F5eWoe7Kakzt08G7gQeC6Usq7LEGUldEqt9LIysoiOjra0kiJiorir3/9Kx999JHNtufOnePs\n2bOEhISU6mbOipQ/g2FkZCRxcXFW6/NnMAwNDaV3794OHS6ZmJhI6xYtOLJkCYE+Pkxa/hPHkpxR\nwG+JJ2nTsD7nUo+QlXOWy9cvciPvR8mdd97Jb78V3/NjxPmoQOYCKQ29/g+NesyNGJdSCicnJ2lk\nlaOcnBzOnTtX6D1hpWmEFXZPmJubWwXtTeVVXB3UIaApGtDKL5v3Hr+bk8nJtHnmGY4eP25zj1bB\nOanMTCYTPV8PZ/vzr5R4TqqcnBxGjRhB8u+/s3LSpEJ7xMYvX06D1q1Zs26d3URS5l6xvfPnW8Wk\nlLKacyt/mV1efpnEs2cNd0H2559/ZtWqVZbvyNmzZ1FKMX36dF5//XWb7ZcvX86rr75q8x3p3r27\n3YQehdHzd4RRz/dGjEmXOkgpVaIH4AR0A14AfgCuA1nAjpKWUV6P3N2oGnJyclRqaqrddUuXLlWA\ncnNzU/fcc4+aP3++2rp1q8rIyKjgKEvu/PnzauPGjWrq1KmqY8eOysnJSZE7OkABStM01a5dO/Xk\nk0+qdevWqbNnz1ZofL169VIDgoOVWr9eqfXrVZ+gKQqUzaNP0BSVuXat2j5/vmru66tatGhht7yf\nf/5ZDR06VC1ZskTt27dP/fOlfyo6o6aFT6vQ/SrOZ199ptzD3NWGrzc4OhTDe/blZ3X5PzTqMTdi\nXJ999ZnKO687tG4pzaMq1UNK5dZFZ8+eVdu2bVNr1qxRr776qvr73/+u7r77btWyZUtVo0YNq3O5\nvUe9evVU586d1fDhw9Vzzz2n3n77bfXNN9+omJgYde3aNUfvoiGUpg4yb9M/OFj16tXLpqxx48ap\nAe3aWbYzP5596K+557CH/2qzrn9wsBo3bpzd2LKzs9Xs8HDl7eWl7u/aVa2cMkV9MW2aWjllirq/\na1fl7eWl5syapbKzswvdvxUrVqi/du1q876fvfCscu/pojbMeNZm3f1du6oVK1bodozLS2ZmpoqP\nj1dnzpyxu37atGl2vxfh4eF2t4+KilIffPCB2rx5szp+/LjKzMxUSulXByll3PO9EWPSow4q6XDB\n/wE9ARdgH3/OkxWllEorSyNPD5XtCuKtevfdd1myZAnHjx+3Wj579mzmzJnjmKBKqaQZDPMn0yjP\nDIYNvb1ZMHKkJfNR39m/svWIbdaiPkFPsGVu7uTTH/76Ky99+il/FLgfDWDGjBn861//+nOBE9AM\nat6sSfqJdEP0Ziklc4GUlF5zihn1mBsxLktMG3ZJT5aBmUwmS0+YveQcp06dIjOz6JxY3t7ehQ5F\nDAwMxN3dvYL2xnH0rIMKZvKDvHPYvLGkPZSJ62c1uTrrv1bnMHMmvyMFflfkl56ezrp16/jlxx+5\ndvUq7h4e9L/nHkaOHFlsb5Oec25VNllZWZw5c8bmOzJixAjuu+8+m+2ffvpp3n77bctzTdPw8/Pj\ngtMFsh7LsqmDlFKlOl8b+nxvxJh0qINKOuZsP7AUgzSqbldPPPEETzzxBH/88YdV8ok+ffrY3X7j\nxo0AhIaG4mOnq98RPDw8uPfee7n33nuBPzMYmvdn+/btxMfHEx8fz6pVq4DyzWBoMpnwKuV9BV6u\nrqh884nlN2XKFFq1akVkZCRffPkFV1KvwHHI7JLJC3NesMngZ07RW5E2frORGPcY0CDGLYbPv/1c\nsicVYvrs6aQF56a7TwtOs/t/WBJGPeZGjMsSkzA0Jycn/Pz88PPzo2fPnjbrTSYT58+ft3s/mPmR\nkpJCSkoK+/bts/sedevWLfKeMA8Pj/LezXKnZx2UeeOGTVnTN35M2p2ZueewkExe+PxjFg3/m1VZ\nWcU0hmvXrs1jjz1mkzmwJK5euYJXgWGNG6N3EdP4dO55p/FpPv9tl9WcW16urlxLSCj1exlNjRo1\naNasGc2aNSvR9t27d+fKlSuW78rp06c5e/ZsbheHnTpoypQpfPvttzbDde++++7cjIkFGPp8b8SY\ndFDqe7KM6Ha7glhSISEhHDx4EIDWrVtbGilDhgy55cop/xWtq1eu4FGnTomvaJVE/gyG5sfFixet\ntvH09KR3796WhlfHjh3tpqEtiYJXEfvM/pUIO1cRw4KeYGsJerLMLD0gA9IgEQgA159te0JGjhzJ\n8ePHLf83vXv3pn79+lZl6XnM8181krlAiqbXnGJGPeZGjMsqprlIT1YVZjKZSE5OLvKesBs3bhRZ\nRvXq1XFzdaVps2b07NmTli1bWv3YrAyNMD3roII9Wfl7sSznsAK9WaXtySptHaTnnFu3m8zMTLzu\n9CJjSEbuOLICddDAgQPtpqbfuHEjQ4cOtVqmlKJVz1Ycr3ccPAFP6HK2C7s27jLG+b6K1kGOH7sk\nyoVSiuHDhzNgwABcXFw4evQo77//Pn/7299ITU0tdXk5OTnMmTWLgEaN+GL5cu7y9mZCu3bc5e3N\nF8uXE9CoEXNmzSInJ6dMcZsTYzzzzDN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XV1/bTnbORzbbOFe7i5dnPqjLHBft2rVjx44d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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x107672b38>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.figure(figsize=(12,3.2))\n",
|
||
"plt.subplot(121)\n",
|
||
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\", label=\"Iris-Virginica\")\n",
|
||
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\", label=\"Iris-Versicolour\")\n",
|
||
"plot_svc_decision_boundary(svm_clf1, 4, 6)\n",
|
||
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
||
"plt.ylabel(\"Petal width\", fontsize=14)\n",
|
||
"plt.legend(loc=\"upper left\", fontsize=14)\n",
|
||
"plt.title(\"$C = {}$\".format(svm_clf1.C), fontsize=16)\n",
|
||
"plt.axis([4, 6, 0.8, 2.8])\n",
|
||
"\n",
|
||
"plt.subplot(122)\n",
|
||
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n",
|
||
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
|
||
"plot_svc_decision_boundary(svm_clf2, 4, 6)\n",
|
||
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
||
"plt.title(\"$C = {}$\".format(svm_clf2.C), fontsize=16)\n",
|
||
"plt.axis([4, 6, 0.8, 2.8])\n",
|
||
"\n",
|
||
"save_fig(\"regularization_plot\")"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"source": [
|
||
"# Non-linear classification"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 9,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure higher_dimensions_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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fyVqx5neSvHZVD7ZYLI79qZLj5MIyzJe+VecyyCfQObl9cumTS59c+s5ELjutJrEM6/xq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\nLZthAABmy2YYAIDZshkGAGC2/j++S7n2qTW6rQAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x107686978>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"X1D = np.linspace(-4, 4, 9).reshape(-1, 1)\n",
|
||
"X2D = np.c_[X1D, X1D**2]\n",
|
||
"y = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])\n",
|
||
"\n",
|
||
"plt.figure(figsize=(11, 4))\n",
|
||
"\n",
|
||
"plt.subplot(121)\n",
|
||
"plt.grid(True, which='both')\n",
|
||
"plt.axhline(y=0, color='k')\n",
|
||
"plt.plot(X1D[:, 0][y==0], np.zeros(4), \"bs\")\n",
|
||
"plt.plot(X1D[:, 0][y==1], np.zeros(5), \"g^\")\n",
|
||
"plt.gca().get_yaxis().set_ticks([])\n",
|
||
"plt.xlabel(r\"$x_1$\", fontsize=20)\n",
|
||
"plt.axis([-4.5, 4.5, -0.2, 0.2])\n",
|
||
"\n",
|
||
"plt.subplot(122)\n",
|
||
"plt.grid(True, which='both')\n",
|
||
"plt.axhline(y=0, color='k')\n",
|
||
"plt.axvline(x=0, color='k')\n",
|
||
"plt.plot(X2D[:, 0][y==0], X2D[:, 1][y==0], \"bs\")\n",
|
||
"plt.plot(X2D[:, 0][y==1], X2D[:, 1][y==1], \"g^\")\n",
|
||
"plt.xlabel(r\"$x_1$\", fontsize=20)\n",
|
||
"plt.ylabel(r\"$x_2$\", fontsize=20, rotation=0)\n",
|
||
"plt.gca().get_yaxis().set_ticks([0, 4, 8, 12, 16])\n",
|
||
"plt.plot([-4.5, 4.5], [6.5, 6.5], \"r--\", linewidth=3)\n",
|
||
"plt.axis([-4.5, 4.5, -1, 17])\n",
|
||
"\n",
|
||
"plt.subplots_adjust(right=1)\n",
|
||
"\n",
|
||
"save_fig(\"higher_dimensions_plot\", tight_layout=False)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 10,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": 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dyzBSmduunOGkkNE9W84i12XFWp4LCwt++czlvrCw4O5x5GzP1AkFrWO5wd2fb7l+FrCt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\nqWIREZGgVLGIiEhQ/x8heeaQe/1A0AAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x107982630>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.datasets import make_moons\n",
|
||
"X, y = make_moons(n_samples=100, noise=0.15, random_state=42)\n",
|
||
"\n",
|
||
"def plot_dataset(X, y, axes):\n",
|
||
" plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
|
||
" plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n",
|
||
" plt.axis(axes)\n",
|
||
" plt.grid(True, which='both')\n",
|
||
" plt.xlabel(r\"$x_1$\", fontsize=20)\n",
|
||
" plt.ylabel(r\"$x_2$\", fontsize=20, rotation=0)\n",
|
||
"\n",
|
||
"plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 11,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure moons_polynomial_svc\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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VGy+n9NK/ruOv//uDrmrLJNLN3EFkdb27RD+Fnp9+ISefQgVnsdIWLFni5ZQa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\nrkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x105b95a90>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.pipeline import Pipeline\n",
|
||
"from sklearn.preprocessing import PolynomialFeatures\n",
|
||
"\n",
|
||
"polynomial_svm_clf = Pipeline((\n",
|
||
" (\"poly_features\", PolynomialFeatures(degree=3)),\n",
|
||
" (\"scaler\", StandardScaler()),\n",
|
||
" (\"svm_clf\", LinearSVC(C=10, loss=\"hinge\"))\n",
|
||
" ))\n",
|
||
"\n",
|
||
"polynomial_svm_clf.fit(X, y)\n",
|
||
"\n",
|
||
"def plot_predictions(clf, axes):\n",
|
||
" x0s = np.linspace(axes[0], axes[1], 100)\n",
|
||
" x1s = np.linspace(axes[2], axes[3], 100)\n",
|
||
" x0, x1 = np.meshgrid(x0s, x1s)\n",
|
||
" X = np.c_[x0.ravel(), x1.ravel()]\n",
|
||
" y_pred = clf.predict(X).reshape(x0.shape)\n",
|
||
" y_decision = clf.decision_function(X).reshape(x0.shape)\n",
|
||
" plt.contourf(x0, x1, y_pred, cmap=plt.cm.brg, alpha=0.2)\n",
|
||
" plt.contourf(x0, x1, y_decision, cmap=plt.cm.brg, alpha=0.1)\n",
|
||
"\n",
|
||
"plot_predictions(polynomial_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
|
||
"plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
|
||
"\n",
|
||
"save_fig(\"moons_polynomial_svc_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 12,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure moons_kernelized_polynomial_svc\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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NEEzFmvewe+lhFIv8lpMSCSBsYidd6eYly5yW4zh2NKZbX+BwuIg3D3xz1HNFYx/L+By3\nLrk9J21eIfrsY6rG4kgYymHJjWZNbBO8w63AwXRvSKTPyYUn248OsqP56wmeEW/wCtFnn2w0WvMe\nBgY20bXUnDl1qZAAIkdknsMVJI9VKDTCLd1M6Grj5PSzwCS/5Qg+UOgeICvVC4JzmDinLh0yByIH\nnDIO0/NcIbFGL/NY02F6HqTos49pGrvqmynZ8Axv123j+Hsn0Xmq2m9JgEyg9gprnoOdOQ7pMNEb\nYtv8nZteAUa3+yZhWrsRj+izh+n6IHuN5RMvGT/vIRYZgciCQuxxUmfPjOppMs0oBMEruuqbmRZ+\nhfa7zzBtxQeYUllL56kmv2UNIxOo3aMQ5zkka/vHTAyJDwiCg1gpsUFCAogMcSN4MDXPNdY0bl54\ni9FGYXoepOizj2ka46tj3Hr7Ep8VCW7iR+Dgpzdk0mFk2j2ZCNM1ij57mK4PsteoykNAvztiXEAC\niDQUwqiDXyMMNTOKSTQpLrpdEMwjiL1EQu4UQvsPIz3AhA4j8QahkOjedZBQVxud048TpDl1EkCk\nwG3z2NG0xbeepkyDhu1NW12L9J0ox+emPicQffYxTWN8L9H2rU0yCpFn+B04eOENdoIGt+9J8Qb/\nEX32yUTj6XUbGX9sC0fu6mTswlrjKy/FIgFEAvI119W0XiZBCBJB7SUSssPv4MFNxAMEwQyssq3F\npZvperiUirpVgZk8baG01n5rcA2llN766umsXpNv5iGGIQj2sRb3aV3aQcXcakJ1txjX2F/sCSec\nRP2eq+9Ha618kGQsibwh39p+CymCIQjmEW7p5pqD64jMOU7nvQt88ZO6GnveICMQMeSLgYhhCIJz\nRJ5/aXhxn4nL6owcYk4WPAjpkRFnQRC8pqj3ZPQ/lSF/hdhAAogh/AgenM5zdcMwTM8zTKfv8aef\npf3o4KjtNTOKHcmzTUfQPz8T8FNjuKWbWVOLCU2blrSXSOZABBdTO41y9QavgoZ8aDfEG1Ij+uyT\nTKM1or1taQcTZ9dRY9hodqZIAIG5JpIp0tOUnPajg+xo/nqCZ0ZX+BCEROjI2fQ7CYEj6O1+LOIB\n2SPeIHiNNe9hXOlmuu8uGl5LKKgUfABhrSjqB3ZGH7wyDNMjfNFnD9P1gSEaUwwzy+hDMDE5cMjE\nG/wMGoy4J9NgukbRZw/T9UFijZOnFtM3bQoXVvgz78FJCjaACGrvk/Q0CYJ3DOepCoIhiAcIQnDR\nkbOBnvcQS5HfAvzAlOBhR9OWjPdV4a5h4xhXVeGZcWxv2urJeXJF9NnDdH3gn8ZwSzelu7dydNwB\nDpV2Jt1v+9YmD1UJhUAib/DLAxIh7YZ9RJ89TNcHIzV21TdTsuEZdoY2pvSTIFFwIxCmBA+ZIr1N\nguA91iS3E0sPo5YtYraBlZeEwkA8QBCCizXvob9oJ+eXhql66KHApy5ZFNQ6EEENHsQ0csfvShtC\n8Ai3dDOrYxN90w74Vp87W1KVcZV1IEajlNI7Xz3ut4yUSODgLuINghd01TdzXcUO3prfxczZd6Cn\nVfotaRhZByJDghQ8SODgHGIEQi5I5SXBLyRw8AbxBsErdN+56L8GBQ9OUFBzIEwLHuLzXONzXE3A\n9DxD0WcP0/WBjxoznOjm9xyIiz1hX88vOENs+7/76F5jPCAR0m7YR/TZw3R9MFLjpar8mDgdixEj\nEEqpvwAeARYDz2ut/0eKfT8PfBkoBV4APq21Hkh1fD9LtWaKaYGDIEPcQnDI11Wo3fYGE0g44nDU\nJzFCRog3CJlSHAlDud8q3MGIAIJoc/k14P1EG/+EKKXeT9Qg7gKOAz8HngS+kuw1JgcPNy9ZZvxw\ntZO1lt1odN2sBe3EQkOm16o2XR94qzHc0s2Ehpc5OqOFs6VFhJiV9jWyDoSruOYNJpCs48j0+9J0\nXwDxBruIPvvM6Spj/LEN7Lirk7GYP5cuW4wIILTWPwdQSt0CzEix68eB72utDwzt/1XgeQw3iWQU\n2qiDrPwpmExXfTMlhzdwqGYPpTdOJ1R3SyAmUOcz+eoNpncceYn4gpBvWJWXBgY20bU0wtiFi6jJ\nw0p+QZsDsQjYE/N4DzBFKTUp2QtMHH2wcl137Gs03jxMzzMUffYwXR94o9EKHsKL9lNx83xmL/9I\nxsGD33MgBCAHb/CDTNdyMP2+NF0fmK9R9NnDZH2XO45QVnacXVNOE3ro/rwMHsCQEYgsKANiy6P0\nAIpohlm3L4qyJNY8xkzMv0k1ghBUZi0qp2f+HGbc9oDfUoTsMd4bCm3EWRAKmfKJl7g8eUpej2IH\nLYDoBWJb34mABs4le8Hj3/os06deA0DZhArmz63j5iXLgCtVkLx6vHPTKwAsu+NKNLq9aetwLp8V\nUZv2OFarneP19HYAG4GVQ0fc6MjxndLnll639Jn2/Qb98ZZDbRy6dIYZtw19HkMjC9YcB1Mf37go\nmtmzY8uVkZCdW5o4djg/VjvNEGO9wRpthittf7pr0dpmyr3htr4rbevK4cfR9peE+/vdtok3mPHY\nVH1N7zTQVXqYJffURJ83xCsAGrc1cdQhbzBqITml1NeAGckqbSilfgy8q7X+26HHq4Afaq2nJ9nf\nmMWCpPcJHvnyMwlzXW9e/BhrvvlpHxSlJtXkPkCqcOQRXfXN1I7ZwJ57igI33JxqETnIj4XkguoN\n0u6nJ2i+AMm94VR3C5Mnje5xFl8oLE6v28jc6e+w+739RvtJXiwkp5QqBsYCxcAYpdR44JLWOv4O\nfQ5YrZR6HjgB/A2w2lOxOZDMRGJ7cEzFjsb4RrbtyNuUhT5OyXiYPfOKr1s/yL3Wl45UDX4y04uf\n+JdIn0klAPP9GvSC7VubpBKTSwTVG+xOkjb+mrepL7YNtHwBGOENdnzBCY2pSNZOZ+oLMFqfSb4A\n+X8NukX3roOEutronH6cpt3nqMnfDCYzAgiijf3jRIecAf4IeFIptRrYB1yvtT6itf6lUuqbwAag\nhGit7yd80JsRhd77lKy6xoK52fcsJWtcQyVHjGxEUiFVR8wjn2t1B5zAeUOht/uZ4JQ3pPrR/cG7\nFtvS6DXiC8Gnq76ZUOtajtzVydiFtUw9dZ3fklzFiABCa/0k0ZrdiSiP2/cp4CnXRdkkExPx8odv\nrr0b2WiMP8eB1mPZiUxBssb15sX2Gle3e31MD25M1wfeaVTlIaA/69fJ6IN7BM0bnAoevLrmvfCF\nROdxyhtS/eh2aoQkFidHA0xve0Vf5lhlW8eVbqb77iIqVqxiSmVtXo8+gCEBRL5hYg+UF70bo8/x\nhGPHdgvp9SlsrIa/f2ATjfMHqag2N19VMJegruvgVfsXNG8QXxCyZfLUYvqmTeHCigV5XXkplqCt\nA2E82QQPJtcxtjBdY2ylDhMx/fMzXR+4p7Grvplxm39IZ+1r6A9PY95Df55Twy/rQBQ2mazrkC2m\n35em6wPzNYo+e5imT0fOjtqW794gIxAOYuLIg13WvLCO7/5o96jtdoZyD7Qe4/Gnnw10VYroBL/R\nvVF2J/4J3iJrPwh2yMc2P1PcSPMJujeILxQ4lYW1tpcEEA6TjZGYlMOXjL7+mTaGckuAR4DZI7b2\n9i2k/egZ29oAKspmOXKcbMnU4BJ9xyaZTBCuQdM1yhyIwsTN4MH4a37J7Xz3R7uN9gY/PsNsAp94\nfSb5AgTjGjSFot6TCbfnuzdIAOEQKtxlZC+U1Uvk5ITmzHmMaK7rE0meyxzTGlc7BLV3LR/RfUnX\nGROEpAR95MFfXwCnvEF8QfAbq/LStqUdVJRWE8KfTk0/kADCAWIn0GWDF3WMr0wG+zqxjXVZ6F0W\nzJ2etqHNZo5Bosb8QOsxevsy15uMZI2r3TxINw3o8aefZX3Dr7l8ec6I7SXj4c73XmOEYZhaSzsW\ntzVeqrI37CzrQBQWXnQWuX3N2/WFbNtdt7whVRtq5zN02xfajw7y9qHNI7zBWgPDlEXnTPcGv/VZ\nBTgGBjbRtTTCxGV1oxaNy3dvkADCJsHpiRrZGOayFkM6rEZvdG7sE0P/lozS4TduNtTtRwfp6Z0L\nrBmxvbcP2o+a9TkIgpCa4LT12eC+L0DwvMFtX4gGb48Q6w29fXCqG0z6HITUTJ5aTGjaNDrvLZzK\nS7FIAGEDu4ZicnRvkcscg+Ql8J6wrSce8z/D2X4LSIn5n597Gp1aPC6fe5iEKF4HD6bfl7cuuZ3v\nMrq4RjrEG2KZ7beAlJj++ZmgL1HlpVjy3RskgLBJcHqjvk7sIlkHWo/xyJefSTtc6uRQbnR4/LGc\nXy8ITpPr4nFC4ZCfIw+xXPEGyxcgfTUl8QZBoOAqL8UiAUSOOJEH620OXz+xvTy9fbCjGdINl37w\nrsWOaVwwd7qjw+OPP/0szQcPjRolMSWHNEqbb2fOpMyi33mkmWC6xnzPcy1k/Aoe/PKGK74Aqbxh\ne9NWR9tY8QZvyQdv8FtfsspLseS7N0gAkQO5Tpr2A6uXyKnJzCYRnYj2Z8DKuGckhxRkNVVBsEM+\njzzEjh6INxQe4g32CLd0M2H3Vo7OaOFsaVFBVV6KRQKILHHSVLyInq3ehEe+/ExMz1LmmNwDEWWl\np2fLZvGkmhnFtB3pof/Cx0dsLxkPNTOucVVnppj//bqjUZ3pdOxY+dzDVKj4HTy4fV/GtlW5eEMQ\n2g0vvSFbX4DHRnlDbBUmEzD9O/ZLn1W29cTSw6hli5gdV3kplnz3BgkgciAfe6ScJJ9qc8fy+NPP\n8stfH6a379q4Z0qA0YsfmTNULsQTbtjP2O5dNM5vYyyFVz1DSI+0886Tr97wxm/2c6p79I/FtiNN\no7aJLwSXrvpmpp3fRPvdZwituL8gKy/FIgFEFjiduuR3Dl8m5KLR2wZyI171NLUfHaS377kEzzyR\n9DWmf8em6wNnNVq1u/sHNnF62SBjF9aOqt2dtb48z3MtNExYFNT0+zJXffnqDf0XykjkA/Gjz7Hk\n63fsFX7pq7i6FDVlckbBQ757gwQQWeK3seTC408/S9uRY5SF4lNpeqmZcb1vmjId8s1nDYJ3DAcP\nk3ZxuXYMFStWFnwPkjCSIM1vs4vV/sV7Q8n4XmbPvM63UQET2mUTNAhmovvO2V58NF+QACJD3DAW\nr6Ln9qODnOoe3XO+YO5jaRtDtzQ6MYkranC/GPqL3+6NhnT42YOTSbqAyT1MFk5qnDy1mL5pZVy+\nfj5VDgUP+dzDVEj4Pe8hFi/uy2TtXyaLyXmzSnY84g1OkQ/eYLo+yH9vkAAiC0wwllxoO3Isq+1B\nQXqCRiK9ZpkzWO3ACnJC3mBS8OA3B1qP8fjTz3raZoRbuof/P9B3KeE+A32XRuyXqozm51bcCcDl\nsikpzxVPVe2ktFqDiHiDMzi1+Gi+IAFEBriVE+tVDl//hey2x5IPeZBaa576yTf43B8+ilLKcQ1l\noXeTVlXy8vPLpdfM9O8XzNeY73muhYJJwYOf13xv37W0H029uKKT+rrqmyk5vIHKq6I/R8b1Ju7Y\nGtd7jCm7nh2xTZeVJtd45DDvrZyc8txaa769dxuff8+9nO0epKvjLqpXLc7yHUQrKCUqhVsyPvlr\nxBvs4Ze+bBYfzXdvkABCyHvWb3+Vn7T+kEWNS7jv1g/kfJzkw77XjOrFsXp8eno7qCjbPeIY0uMj\nCOZgwqTpQiTc0k3Jhmc4Na+V8uVV9EyJ/tjv3wgkqLIcmVrMu380IePjH9+tePfG1Ps3bDvIj1r2\nMXXiVG6bXsS4fW30r17CpXPZLYxx53uvof1oYm+IR7whmKgznYS62uicfhzIz5GqbJEAIg1uTqoz\nObq3MF1jJqMPaxqe5fw951mz6VnuveX+nEchsmncg7JQj+nfL5iv0e8epnEVVVw8FUZPrvJVRxAx\nddK08dd8lvqsAgaXe/cPb7sw/hTddw0SWriUmTGV0MZXvJLwGCWlk7KqmFaTZoqT1pr/fnodkXsu\n8l9vtvMH//JPtG/+d95u3YbakPheGjxxhMjzL9F3y8oR6U7iDd7jpT5r7YfWpR1UzK4mVJ3ZwnF+\ne4PbSACRAUHvnSoZ30tv3xMJt/uFV/XA129/lZbpB0FBy/SDrG98dXgUwi0Njz/9LAdagz2/JF/R\nkbOpn9eDUT8KAAAgAElEQVSap/55DZ/7zCOupLsJ5lDo8x5qZhRzoPXjSda1ySxFIx3qTCfhhv2U\nHNtC59DCW1eooKJ61qhKaDXXDgKfGa332tE5/HZY/3oDLVWHot5QdYj19Zu5756PcLKuhSnb6qk7\n8rGR72VgkGlX99BZ+xrVG/bT1fFAVulO1siDeEOwsFLsTt7YwUvvnuZ/f/wz4g1DSACRArd7p7zK\n4Zs98zpOdT+RYHv6Hg+nNFo9UBaPVVdDdfT/6sLIH3X9q9ekPJYeP3H4/ztPvMN7ps0bflz6kQ9f\n2W9o9CHyvggAkTmREaMQbg0XR9eLsEx5I27WIo+dHBc1pieGnikhkx4t0/NcwQWNlclL8K1/vYGf\nNK5lUX0t992zPKPD5Xueaz5javDgxX355Gf/jPajz7Cj+YkEz6ZuO5Lp66pvpqzznRFtuprRQtfD\nRYTqMlt468mvP5B2n0xIdV9qrVnz8otEbopOBIzUXGDNz3/Gvavex5TKWr71THKdJ8+00D2pgfLm\nH9C/ui56vCFP6p06L2lQcWXk4YmhLRtxyxviJ01f8YbMfAHM9wYv9V0zB/6reCyvtDZze/1m8YYh\nJIBIg6kGkw1+r/5pDf+1zWulfNbooeFLV6WYaRbHmNMjZ36fbTlJuDYa6J3rCDNzzWH6r4lOhIsd\nfQASjkIEnWTD4WWhj7NgbvQ7D/oqr15h/ag4f3dk+MeE9DQJ+YxT3hBu6WZCw8sMFDXRuTACc69M\nXlZTr2a2zcUanSZ29AGIG4VI/eNwSmUtPFhL+/X16M7WYU+61H2O4tadRJ5/Z1SKk9dk4gsg3pAp\nWmtefGOHeEMcEkD4iFfRs52e9mw1Wj1QcGVkYaCoie67x1C14iHHF+6aGfP/o9vWEi7fPzwRrvGd\nV7l+zHQ4AIPllYwNjUFrzS69w8MAYqVH5xnJgrnT09ZyB/PzXME7jYlTGtL3NOVzD1M+Y3LnkOne\nsPitE0TeegmItvMlA8c4NK+V0hunE6ozY4HGVPflruZ9LIxch7oyJQMN7Gram3Hvck3tKoh5myfP\ntHDx1w20daxjVkYpTiszOo+TZOoLYL43eKWvOBLmv7taaLv6lHhDHBJAJEEqc2SHlaI0MLCJzoUR\nxkwqHx5ZUFOvzWryW67MuO0BTi5ooW9uIydo5ROna4AaLnWfo3rXNfTNzS5n1R4lXBmqjpKq3Kvg\nL6lSGqSnSRCiWPnghxYc5KrJVyocXbpqPFV1zncQucWjX/iU48ccHploqaerfC/j9q2mf/USzi9/\nKG40YqQ3lIXeZcHc6TIaYChaa549/CYX7hsAxBtikQDCR0zPMYTMNJ5et5GSY1to86EHKj7HcEpl\nLSwfee5cc1btYQ0Tb8Tqacpk5W+vyZdr0C52UhryPc9V8B7T7kurg6i/aCfnF4U5cmkcSx78pN+y\nUuLXfRkdmVhFe0s9J7b8huoNxzh9cFnMHiO9IZOVv/3AtGswHq/0bTzcyIG5XeINCZAAQsiZ7l0H\nKd29lf6iJk4PlePzYqQhW7zOWY3NK47W+v5FzHbBL1KtXOtESoMg5CPWqEPbrD2Uz6qi/PrlTD4l\nPx3SUVO7ipPVs+ia28ikN9YxsxcG5n6RsaHoZ2d5g/iCuagznbx1uoUl566mt+cyJaXR3wjiDVGU\n1tpvDa6hlNI7Xz2e/eskfSktp9dtZPyxLdG6yHOrCdXdEpjhawt14gyHt78UnXzdccPw5OsgEV9t\nw0IWJRpN966DzOjZR2TeUTpvGV0+Mshc7Em+DsR7rr4frXVhj7XHoZTSb73a5rcMo7FGHU4V7WRw\nbpix8+cw4zZnKiQVGu0t9egte6nedQ0Xpi/jqg+tdPV84gv2sQoDdJUd4MKNEcYurDWyg9QOdTX2\nvEECiESvkwAiKdaog3VTVdy5KvA/xMItbxLZv4fy5suMi7zP9woagjtIACFYSACRGmvU4cjQqMO4\nFcvz6n7xg5NnWuh7q5HI7mPMab8jwdwIwRRir/9oWnbwOkgzwW4AUeSkGCE7tjdt9VtCWmI1nl63\nkXGNP+PI8l1c/shM5j30577fVNu3Ntk+RlXtTcx88JP0rppCZ+1rlGx4hq76ZgfUmf8dm64PnNEY\nbummdPdWjl7YwaHSTgdUXcGJa1AQYvHzvgy3dFPW+Q4lczqpuHk+Mx/85Kh2PgjXvGkap1TWMnv5\nRwi9fykn6n7D9pc+Q+T5lwi3dPstLSGme4Nb+uKv/9nLP5Lz7xzTrkGnkUTGONxePC6IWKMO1oJA\nFXXBH3VIhFXFyZpwHXleRiPygeHKMTX53ZskCE5RVdFLZPJExi5Y4LeUvMOaGzFwYS1tFzMt+Sp4\nyeSpxfTJ9Z8WSWGKf42kL43Amutw/K7OvMwBTMbRbWsZOHiIcftKGTvzk9K4BxQrj7u4dj9d88fk\nbQ63pDBlh6QwJcbK+47MaOHszUUSbLuMNTdi3L5SJo29QzqsDCDc0s2sjk30TTtA570L8vr6t5vC\nZMwIhFJqEvBvwL1AF/AVrfW/J9jvE8D3gT6ihbU08CGt9a89lJv3WKtHd85rpfTh6Xk76pAMazTi\n4qQGTnU8RckafyZZy2Q4+0yeWkzf1EmUSMdA4BBf8A6rHPfbAS6METSs0YiLk6IL0M3cfJiujsx8\nRrzBPXTkLFSG/JZhPCbNgfgu0A9UAx8FnlFKXZ9k3y1a6wqtdfnQv4E0CVNzDMMt3ZR37GTc/PO8\nM7XKVg6g28TmGGqt+fbTq9Faj/h/rkyprGXmg5+k4ub5lMzppKzznazzVe1+x+1HB9nR/PVRf4mM\nIxdMvQZjMV1jvue5+kzB+QJ4e82HW7qJPP8S/eH/4vhdnUxcVpe2zQ/CNW9pjPcCJ7zBCSx9sT4T\nXrQ/Y58pdG8wXR8E4z6xgxEBhFIqBPwO8Dda64jWejPwMvAxf5UVJkW9J7mquphx865mfOVUv+Vk\nzPrXG/hJ41rW128e8X+7jF2wgHGTJ1JV0euASsEXzp1jsLrcbxVCFogvuE9XfTPjNv+QtmnruPjA\nBCruXJV3aarxXuCkNzjJjNseYMykcvEZn0m1XpAwElNSmK4DBrTWrTHb9gB3Jtl/qVLqJHAa+BHw\nD1rry3ZF2JlAnctwoqmrPOqjx+kv6uZQaRc31t3it5yUWKs8aq1Z8/KLnL87wpqfv4DWDP3fmSXn\nD119jmvbS1AH96Cqr0dnGFiZ+h1bmK4PzNeYzyuN+owRvmAXU73BKi4QXrSfqoceymqUOQjX/K23\nL4nzhZ9xz93LRjx2whvs6Itn8PpZHG/eQ6ixjDD+zocwvt11SV/s758Qs2wdKwj3iR1MCSDKgJ64\nbT1Aoi7DN4A6rXW7UmoR8B/AAPANJ4TkOoHaGk4czWMJto3ElFxGawKdmtHCuwGbQLf+9QZaqg6B\ngv0T34WTOqsl51MxpbKWk3XwLo30tP6E0Eu3EbnxdiYtne/gOxAEIQ5jfMEOJnvDNXOgZ/6cwLTz\n2RLrCy1Vh/inp74/4rFdb3Ca0upZdN/ZSWR3dvMhBPtYBTf6Bzbx9rLBgpv3mQumBBC9QPwv94nA\nufgdtdZtMf/fq5T6KvBFkhjF49/6LNOnXgNA2YQK5s+t4+YlywDY0bQF4MrjfY2MmRgajmytHLtM\nH8PGoX9XDj/u6e0Y1hK//3MvfZ8FcxfGGMzI1/f0foTtTVtz1pPN4676ZvZv+3+cqT3JDR9cweza\nVWzf2sQv9r7Ex//kw9H9h/L5rKja88db9vDCi7/gG//nyyil2L61iQN7W/nYH/82a15+kchVF+AQ\nDMwdgBbgEES4MNzT1LitOefzT6msZXtxhM7QTkLLdxHa0sTe18rpX7ycez5wb9LP90DrPj7+4T/O\n+fuJvX7irw8nvn+7+rx4bG3L6fM70sus8dFj7G5sobIs4vj1aW3z+/7YseWKnp1bmjh22Nn1LnzA\nNV8A+Mq3/ooZU2cCUD6hggVzF7p2LZvmDa+/sp6S5gYqb7vEpaqrs77WnvveSyxYNNc/L4h5rLXm\n0S99k4d/57e4ddkNw88f2PsOv9i9ichNF4a94Kf1rxD5nQuOekOujw/sbU3srctreeXgv9ISauCu\nw9BVD4eqe0d8f+INzup7/ZX1lBzYzXvfcwa9dBqndQ2n90eYMnT7Bt0bYvU0bmviqEPeYEQZ16Fc\n19PAImu4Win1HHBEa/2VNK/9A+BLWuubEzyXVRlXOyVcH/nyMwl7mW5e/BhrvvnphK+xDCCX1zpN\nV30ztWM2sOeeohE5sNu3NhkzDPfa+k387Q++zdce+cJwr9H2rU2c6T3LXzd8i8jsC1d2biFai2Ue\nlLaN5+/v+KJjPU2xK4rO7EhdnSnW5HPB7R5Iu/q8wI5GL0rymXCP5GMZV7d8Yeh5z8q4muYNTqyy\na8I1b5HIFwC++y8/YvWpF0b6wttEZ37Oiz502huyId1neHTbWhbtKqHlUmJ/KXRvcFKfWz5h0n2S\niLwo46q17lNKvQh8VSn1p8BNwAPAsvh9lVK/BbyptT6plFoA/A3wU08FO0S2F39sg9F25Bj9Q+1i\nyfheZs+8Dsi98SiOhBMmBphy8cfnslq5q7fevoRv/NP/Y2HkOtR+6DhyjL6LEdAQulzKrIHpaGBX\n017HTGJKZS0sr6V9aj3hLXup2hvtJUrUyNtt4NxOYTPZICxM12jKPZJvFKovgHve8L/qbqe/66ec\nXxQmtGxpzhOmTbnmk/kCwLmB88O+AEPecCEy7AuA496QDek+w0tVISD5FJ5C9wbT9YE594lbGBFA\nDPEXROt9nwROAX+utd6vlLoG2Ass1FofAVYBa5RSE4BO4IfAP/qk2VOS5dL29j3Bqe4nhh6lz6uN\nZXihrdLN7F5cSqjazEnT8bmssbmrj37hU75oqqldRTtwTd9lWi75IkEQ8h3xhQzI2BvqYNrVmp5l\ny6mqvclTjW5goi84TXEk7LeEgkBHzvotIXAYE0BorbuBDyfYfpiYPFit9ZeAL3koLSNqZhST6Md7\ndHti/B4itIayOxftRy1bxOwEvVEmDMFZvUyRm6LdapGakbmrfuuD5I28399xOkzXB/Y1ur0okAn3\nSL4SdF8AM73BbkljE675VL5gzZHzW2MqMtGnykMJZvx4g+ne4Io+h33C9GvQLsYEEEHHznBiLgbj\nFLMWldMzfw4zDK79HdvLBIzobaqc4O/qwqXVs9i9uJHI7h8y/tkt9N/1aV9L7wmCYBZB9QbTSeUL\nJlVWypXS6lnsmt3IpPYD9K9u4/zyh8RbBKPIOIBQSt0EfBwYBGqAPwU+BVQCM4D/rbU+5IbIfMWK\nnv1cdl73pe7eMCF63tW8b0QuK1zJXfV7mDp2PkRX+V6Kd36LUON76LslWsPb5B4cCEgeqeEaTbhH\n/ES8wXnc8obiSBg9vcT2cUy45lP5wn33LDdCYyrS6Yv1Fr3lN1Rt7vG0rKvx7a6D+op6T0J5GeBs\nGpPp16BdMgoglFJzgE9qrf9y6PFqYBvwCaI1DTYBbwLfdkmn4CLRyVrm4neQkAk1tas4WT2LqesP\nEDpRTEf6lwQaU9YuEfxFvEHwiyD4ghPU1K4izCTG005//KooBhI0b+iqbybUupamuzoZO7uWGln7\nIWMyHYH4IvDlmMcTgNNa621KqZnAt4A1DmvLe7LN4Ysdzh5daeOxmH0c1Gh4Dp+J+mInY+VrHqmd\nxbGyxbTPUGvNU/+8hs995hEjcq211vzzv/6E//XX/9OPVXXFG1zADW+YXX3ROX0GtrvxmK4xW32q\n77yLakZjujfY9QWrgMypaesov7uKihX2F44z0Rti9ThNpgHEN7XWsVfv7QyZwlAFjGEDUUrdCiwn\nOsFtGfB3WutfO6I2wCSKynt6O1g8vznjqNzE6F0YyaGrzzHp7ZOEGssIDy8aZR7W9djT20FF2e7h\n7ab2EpnE+tcb+EnjWhbV1xqRa73+9Qb+c8/rLFx/A6vu81yPeIMNkvXWhkqOZPXjKN09G27pZkLD\ny0TGrefY7CLMHnMW4rE76T0bCsUbLnccYXrtGU7Pn8+M2x5w5JgmeoObejIKILTW7db/lVLXEc1r\n3RC/n1KqFPhta5EfpdTDwKtKqXla68xXdPMBO4vIZUKyqLyizPke20wpjoRR00NAf9J9TO7BAbP0\nWTmrR8esZeDgaxTv3Mmc6j9w9Zy5Dhd7OYJgFzu9TE7ntiaqO5/qGnS7B2hYz6p+nvvZz7j73vd5\nOgpRCN7gJsnuw5sXO3cfWtX2TtQlr7aXLSa1u8kwXaPb+vLdG0walQaDvSHBGilOkUsVplXABWCL\ntUEpNWdoktw84FGl1Pe01u8CvwRKgfcBLzigVxCMZ8ZtDxCuepPJU3sItRyio2VmztUz0plAUBr7\nfCFV3flk+7vZAxSr552rDvGr9Zv9GIWwEG8wjHBLN7M5RN/dY7k4Nz/WfhCiiDfYJ10RmWww2Rvc\nqk5WlG4HpVSJUuobSqlFQ5vuBZq01v1DzyuiebBorZuB9w0ZBMA1RAsjtDiq2gV0VbUPZ93owzmz\nY/vWJr8lpMRUfYPV5XDuHNs67F36lgnE/yUyjtzY6NBx3GN701a/JQAxdedrRtad375lT8r9rR4g\nrbWrevprLvDcz5w/TzIKxRv8oKfX7DIMpra7sZiuMRd9sesNFbo3OOULThSRMd0bLD1OnyeTEYgP\nEF2gZ6dS6hLRnqQzMc9/hZhJclrrbTHPPQZ8S2ud+FM0jIvhHlfTmITCQ1/0duKbVwShPn24pZsJ\nu7dydEYLZ0uLCDHL1vGS1Z3f8eZb3LrshpT7u9EDlEiPx6MQBeMNguA3urzEt0XlsiEI3gBDwZhD\nU0uC4A1unCeTAOINYDXwHuAm4L3Ad5VSzxAdrn5Za90Y/yKl1P8AjmmtZbwsKSuBX/gtIiWFnkdq\ni8oQt824msN+60jJypxe5eVkulxyXa3SfCeWHnYs73tk3XnNkaMnmDF9Gucu9o7aN90quU4Qq+fy\n4ACMHQsadu3Z61UAId7gEhVl9oLdUZw7x2D1DMcOZ3S7O4TpGk3XZ7o3ODEHQpWnngOaKVfa4qgv\nzJwxDY0ywhuGz8uVNVKcIm0AobUOA38ct/mTqV6jlPpg9KX6MaXUeGBa7GS7QiQoUbngHIdKO5k0\n0MaEhkHCmLWKaD5fj131zUw7v4n2u88QWnG/7dJ8FrF1519bv4m//cG3+aP3P5SwQfaiByhWz8We\nMHpylSPHzRTxBvvk830oBJNCuCZPr9vI+GNbaJzfyVjs+4PVFlu+8JH7EvsCeO8NbpLLJOqUKKXu\nBKYC/62UmgbcBhwHCtYkIHFUblp9+0T4Xcc4GVYFg/fdclPCIUK/mVJZy8k6eGPfWmonbmKmS6uI\n5trYW9djIK7BHDRWXF2KmjLZseAhlvj81cpQ+ahr0KseoCAh3jCaZL21psz7SYbpvvC5zzxC47Zm\nIzVauP0Z5rs35KLPWvuhf2ATp+8aZOzCWmocGJ2GxFWPEl2D+eQNjgYQQ6uSriW6mBBEYywNTHTy\nPIJgVTAYXzzOyAACokHEtMX3UKHaCZfvp2ovdNWTVRCRzgTyqS53UIjPX02U51ooq+RminiD4AWx\nlW0qJ+T3fEbxhuy53HGEsjFvE751DBUrVjrawZRoXkOiazCfvMHRAGKoXF9+37UOYnJ0b2FiD05s\npN/w5g4+rT/ixwq8GRH9/JZwlLXMopy3e7J7vdsmEIhrMAeNuu+cI9U1Rh03Qf6q6degCYg3ZIfj\n92V5OcVd56DSmcOZ7gtrfv4zfvwv/+S3pJTY/QwL3Rty1Vc+tZTB62c5Gjwkm9dg+jVoF8dTmAqd\nXBdvETLHi/rGbuBkzWnBH7yqbiHkH+IN7hJUXxC8w8nKS7EUqi9IAOEw2SzeYnqOIZiX6zoq0tfO\nVzBwEuvzi/aGX/ZbzigCcQ0apDFR/mrPyV52TQxe/qrgLfnkDcb7Qs0FvvO954z1BTDvM4zH+Gsw\nR31OVV6KJdm8hldf2ZjXviABhBAoRkX6BCvSj10IKAgEsde0OBJGTXfeJCBx/qrpPwSEwuZU5yDF\nFd30V56DPF2JOlEP8JGKE4HxhSASNG/o3nWQUFcbndOPA85WREw2r8H0xQztIgGEj5gc3VuY9sMo\naBUMYj8/VR4ybiGgdNdgNr2mbmH6fWLaPSIEH6eu+araSXR1zKNk72F6zu1h4NI5QnW32M7/Nu2a\nT+gLleb6Apj3GcZjujdkc49Y6wIduavT0cpL6TD9O7aLBBBCoMiHCgbqTCe6cqrfMvISdabTbwme\nc7EnWKNagrdUr1pMuGUmcxoqOH24iT4aOVmHKyWO/SIffEFwHqts67jSzXTfXUTFilV5dd37TZHf\nAgoZ02t9g/lDcEHRV1o9i12z21Hj1hN56VXCLd0+K4sSiGswQ43hlm4iL73K+cgvaCxvprTa4dV8\nk2DCNej1InKCuzh9X1bVTqLkk49QUvUg09vG2T6eCdd8OkzXaLw+w70hU32TpxZTed0Uxq1Y7nnw\nYPp3bBcZgXCYQljFUcieKZW1sLyW9qn1nN3yG6o3HKOr4wHHF5YrVLrqmyk5vIETdftRyxYxz6Mh\nakHIFPEGQfAeHTkLlc6X9BYkgBiBrqrmYriLcVW5lyvPZvKQk7ndbk1oMj2HL2j6ampX0Q7M6LtM\nyyV/NMVi+vwCyFzjNXPg9LJFnuW3Wph+DQpmYII3DITPMKb4HAMv7qH2ugM8+fUHcjpmEK550zUa\nr89wb0inz5r3sHNeK6Wl05ld6X2nkunfsV0kgMgT/J7QJGSP3YpMXlTBCEqvqVv1vQUh6CT0hsMw\nbsxn/BEkuE4he4M176G/aCcX7r5I1YqHZN6DS0gA4SN+11keLK1Cn2si1VQYU0pUaq156p/X8LnP\nPDKirrcp+pKRTN+O6a2EtrQReb6bvltWUlWbfVk5J4LGdNegCeX4Mr1P3KjvnQmmX4NC8PDbG9Jh\nyjWfzBfAHI3JcFNfIXhDKn2TpxYTrrnIzAc/6bGqkZh+DdpFAgiXSdUT8MG7JP89U9a/3sBPGtey\nqL7W2LJ8mVJTuwpqV3F06lo6D75G1ebDdHXcJfMhcqQQKy8JwSZoNfRNJZ98QXAOHTnrt4SCQAII\nl0nVE2ByD5OFCdGztcro+bsjo1adNkFfKlLpm3HbA4Sr3qRiag/TWg7R0TIzp5EIOwTiGkyhMdzS\nzYSGVzlfdoDG8ghj8X6o2s9rUEq4BpN0PcRe3Jf9kdwrwZnQ7qbyBTBDYyqy1afO9TNY6l21NdO9\nIZG+2HkPoeuX+qBqJKZfg3aRMq6C8cSuMmqtOp0vDFaXwznDVpcLCF31zZRseIZDNZsYXDWWijtX\neT6B2kJrzbefXo3W2vtzSwlXIQcun+6lreF5Tp5p8VtKTuSzLwjZEW7pJvL8S/R3/ZSupYcJvX+p\nb14Qj5/e4DYSQMQRrcTU48m5nKyzXDOjmJsXPzbqz+6EJr/rGFu9TJGaCwBEai6w5uc/G74Z/daX\njkz1+TXkanqtb0is8dTbp1nz+tcZe10vofcvZfbyj/g2UW771qbhVAr5ESM4gRfecG3FJGY0XybS\n1ZG9PsN9AfzXmA7j9RnuDbH6LnccoazsOOr+cl46U86seXf7qOwK+e4NksKUBC9zVJ04lx1NY8J9\n+JD5kRGxvUzAiN6mvMl5zbFGtalVMLzgjX31vDB+Bzf2X8UNHi0Yl5Q0qRRCfuGVNzh1nmT7dtU3\nU80GjuWs0D8KwhdsUIjeUD7xEm+8c4SfNL5uzpyYPPcGCSCS4EVZVCuHz88SrCpUTqrKNX7n8O1q\n3sfCyHWo/Ve2aWBX017uu2e57/rSkYm+Q6WdTBx3nAkNg4R5KON5EE78WDE9zxVGa9Ra85/bnuL8\nb1/gX9/Yynf1PT4pi3LmfM+oVAojzEtwBa+84bs/2u36eY4e7EWHDtMOWaV8+N3upvMF8F9jOtzU\nVwjeYOmz5j3surGDF9/YY9SP9Xz3BgkgXKYQewKc5NEvfMpvCa4ypbKWk3VwlkZOjNnELFmhOiVd\n9c1s3fo0LXXHQUFbTQ97dp7kvnuu80XPcCrFTSNTKbwwr4s9YZn/EFBM8IXqVYvpAqp3raXj3C7a\nOjsJ1d0SiJr5+e4LQnqs9R4GBjbRtTTClqKxdMw4bcyPdT+9wSskgHCZVD0BJtT67jkeQU86xckz\nLQmNw/Q6xvmgb0plLSyvpX1qPV3lexm3bzWR5+/IeX2IrPQ5fA26kd6xvWkrc0sXEGrcyMWLv+YH\ng41cmHcZgAuzL/raKK9/vYEDF1sllULIinT3glf559WrFhOeNZM5DS8TudRCz9QOyCCAML3dBfM1\nGq/PQW9wwxfebHiV35pwmPCtYyi947f47799xqgf64XgDcYEEEqpScC/AfcCXcBXtNb/nmTfzwNf\nBkqBF4BPa60HnNRzeeCSk4czkupVizlRD5N+dYau7ldpX9ZhTOUCP0m1OJGb1NSu4mT1LC5OaqCt\nYx0zA7g+hBvpHWd3HmKcaqRt1h52n+ujrTRiTKO8q3kfsy/OpGJ/GRC9do60nODNirfyxiT8xDRf\nyEeqaifR3Xs7M44W04PUz0+FX94QdNzwhaKLZ+m/todxK5azu/GEcXNiYr1Ba83RlhNMr502Is0u\n6BgTQADfJZqMXw3cBPy3Umq31np/7E5KqfcTNYm7gOPAz4Enga84JURXVTt1qJT4PfoAV3qgpjW8\nTFHxYdqpHxFEmNxDAu7os7M4UbzBZKtvSmUtPFjL0W1rCZfvp2ovdNXjWhBhwjWYiq76Zm5Tpwgv\n2k/F/Pl0bDlGXff8lLnPXhKfSvHa+k387fFvc9MNdZ5ryVOM8QUvuXXJ7XyX3Z6d73LZFE53DaK3\n7M1oPoTpvgBmeUOiwMP0z9Bkbzi9biO3qW7ap/dSQWZzYrwm1hssX/jo+x/Km+ABDAkglFIh4HeA\nhWiPWdQAACAASURBVFrrCLBZKfUy8DFGG8DHge9rrQ8MvfarwPMJ9rNFzbQiisZ6k6Pqdz5sVe0k\nTh+czVwucTzFhOpCIN3iROlwamXUGbc9wFHWck0ftOT/YFhKrpkDPfPnMOO2B3j0Nr/VJMfutZMN\nhTD/wURfAO/aay99oap2El0d76F617HAzYfwCjv3t6yY7QzRhUNfpr+oidN3DTJ2YS1TKmt59Avm\nXqde+oLXGBFAANcBA1rr1phte4A7E+y7iGjvUux+U5RSk7TWuS+tGcff/snHGFdV4dThEmLlGDpd\nFtZJjM/TdFhfosWJMm3wEzUUjduac9Z3qSpEF8cp79hJ2KVVqk2Yh5OMcEs35R07ebW4ien33Oi3\nnKRY16Cda0dIiHG+AM5UuEnH9qatnvtC7HyIC2ffoptGTtYRyLlxYI43JPsBmY2+4q5z6NAE8GaJ\nKsA8bzi9biMlx7bw9tIOKuZW826kkvsMT7nevrWJM71n89YXTAkgyhh9a/QA5Un2PRu3nxrad5RR\nPP6tzzJ96jXRF06oYP7cOm5esgyAHU1bAJI+tiayWTeR048PtO5z9fjZPt781kFaxytqhvxi+9Ym\nDuxtHW7krIVvTHrsqL4te/jO939I5L6hiVj6At/53nMjGvxUr3/mOz8enjTVUnWIZ/7v85SVhHLW\nc7DtAnuKT1Jbc4JZG46xvmE2E98zx9Hv/0DrPkeP19MbuyjVxqF/V2Z9vNPrNrJ3zwscq+0kNL2S\nudWzjLjeEj2G6I+E73z/h0SuuzKJ7zvfe47KUDm3LrvBlfPv2BJ9fPOykY8Bdm5p4tjhTgKOa74A\n8JVv/RUzps4EoHxCBQvmLjSmLfbTG8I8xNFfdXBhVy81Q5l48dfegb2tIx6bci+a6A3Dk2nbrvyA\nrJxQkZW+XbvfJXSok9qhQUcvrgcnvSHqCxuxvOCKN6R/P+GWbva/+BTn1LvUfvgqJi6so/NUNSfa\nr/QrmHC9JXpsrQMRueoCHILI7Ojk7spQOcSkOHvpVY3bmjjqkDcoE5bXVkrdCDRorctitv0VsEJr\n/VDcvruBv9NavzD0uAo4CUyO72lSSumdrx7PXVe4y/VRCFPoqm+mdswG9txTVLATqV9bv4m/bvgW\nkdkXhreVto3n7+/4YtoeA601f/SXX6DppgPRny0alry5gB//yz/ZHq5sb6lnYF8LoS3FXHV5CeeX\nZ75WhNfYrbZhDVGfLmqib1l0iDoI16OdaydbLvaEATJOYXrP1fejtQ7cmLlbvjD0vH7r1TY35QcW\nqzzmmBk7OHbP1YG4/9wm1/vbKV8It7xJ+ZZ2zvYEs8R3rr5grfHQMa+V0hunBy6tzktfyIW6Gnve\nYMoIxNvAGKXU3Jjh6huAvQn23Tv03AtDj28EOp0ephaCgZNVMexMxHJzZVSrOlNfVSOHdpu9VoSd\ntIv4IeqKLM3CyWsh22N5PYkv3+c/DCG+4APR+RDzKDl0mL5fBnM+hNPVknK9v2XF7CjZ+oLVkTRQ\n1ET33WOoWvGQrevPL28wcXK3kxgRQGit+5RSLwJfVUr9KdFqGw8AyxLs/hywWin1PHAC+BtgtWdi\nHcS0HMNEmJ7r+sx3fuzY5DQ7ixMlayhefWWjIw1F7FoRx69pIbRlNf2r7Y9GmHANdu86SOnurcMT\n4yYurBvR65npNejkRMVsjrV9a5MsbOUCheoL4P99Wb1qMeGWmcxuvIbutZvoCdcTWXilzLfpvrD+\n9QZ+vP7nLFrkzKTlXO/vVD8gKydUZPwZDlaXo/rO56QhV/y6Bq1RhxNLD6OWLUo6ApbNNeiXN9x1\n++08env+eoMRAcQQf0G03vdJ4BTw51rr/Uqpa4j2Li3UWh/RWv9SKfVNYANQQrTH6QmfNOcdY8J9\nEJCOJq01v9j8a87fl311A6d7qJIZTGzuoRPU1K6C2lW0L6zn0C+joxGnDy7jqg+tdPQ8bmGlRwCo\nC9GU9XEDx3IedbBwstKFyVUzCqH6UhziCz5RVTsJaj9Mb/08rt6wltYzbw2PRpiMdf/235T9IpNe\n+QI47w1Bxxp1GFf5Ft13FxFacb8jo16F4g1+UOS3AAutdbfW+sNa6zKt9Wyt9U+Hth/WWldorY/E\n7PuU1nqa1rpSa/0nbi4WdDHsXtkDv3t+41Gh0XMTTe9lOj7/5Ihh4Wxe+5PGtVm9Jhfc+vxqaldR\n9dGH6Ho4QvHAOvpXr6F718Gsj+PlNdhV38y4zT+kbdo6wrdu5dQd+zjxUCtdD0eY9tAHmL38IwkN\nI9PRh/hKF7mS7bFMvkeCjqm+4DYmeUP1qsX03/VprnvrNsatPU/PG/VMndzlt6ykDN+/c8z1BTC/\n3fDaG0o2PMOJut9w5vdnM/PBT6YNHrIZfRBvcAeTRiCMQ1dVo8LmNpSFjNUTkMvS9fnSixCb1jSw\nbxdXbzhG/+7pw8/r8RPpu2WlLxOuY0caIDraMFDUxPlFESrmz2fGbQ84ch6tNd9+ejU73mmKXgsa\nIkcusPqlF3L6Xu1cV25jTZ4WBK+JjkY8Qsm6jSw81sSehX4rSoz4QrCw0pVOzWul9OHphOqcGXWA\nwvIGvzBmBKIQsUqVmYypw6zDPQFtQxuy6F1wskfCaqSSVTPz4vOrqV1FxZ2r6Ho4womHWjnxUCun\n7thH27R1lGx4htPrNiZ9rRvXoDXS0Fn7GuFbtw6PNlx8YAKhh+7POnhI9Rmuf72BH9f/nP2V70Yn\nKr4D9MKBi605fa+pJj3mos9pCix9qWAx1RsGS6PX395ft/isJDEj7t9DGOsLYK63Wrh5DYZbuulf\nvYaBI6vpWnqY0PuXJh2BTqovzedXaN7gBzICIQQSa3LauZO9VPRHqzxmUt3A6V4EU1YYtUYjHn9s\nLe3vRleq7Y+MQ58PU9SwlrmvrOMLH/jQiNcMllZxtuMQXV1liQ6ZFcWRaO94qKuNUzWbKF9eRfn1\ny6mqvcn2sZNhfZcXpgwQ2lvKkgvXceDgu5z/7Qjjfj6WN/e8lfV3ku9VMwTBLocPQR+HOfJfqxm3\nYrlR1Zli79+eIW/IF1/Q5SUUH8t9FNJuiW07dNU3D/+/OBKm5NgWDg2XZl3p+DUk3uANEkBkwMVw\njyvrQZiU52pxqbIcdeIMelolYG4OX65VMZwsq5fJkLfXn1/7u8Xs+M0/j9quq/6AnmX1w4/HnI4a\n5fU1cIHdjpz70lXj6QFCU5cy08Ha8ck+w+HvcjbotsvUTZzPvtA7oODy0svcdENd1ufK5bry4jsu\nwMnTBY2J3gBXqjN9sPEaujdvoq/7VdqXdRizVkRQfAF88Iajg+xo/nqCZx5LuL8T1+DwmiKTdnG+\ntn94e8+y8YSmLrV13aT6/ArJG3LFiZRYCSDSUEjzIDr2nuPs4EEOTz5kXM+SUzjZi5BoyNvUnoiS\niVOZvfwDfstwjFE9hrMu8B8vvkLkdyU/VRDcJLY6U/neDRw5t4sj+zsC7RlB8IVjsy9S3PoLQqvb\njF5M1MKa39C59DBj58/hmtn3D3dMuol4Q3qcmk8nAYSP+F3rOxarZ6m2cSPdBzfRo6N1vztPVRsV\nRceX2cu2HrlT9fozHfI2vV666fogscZRPYatEFnSP7zaK5vh7RnvehLUOfEZpiofKaMPhYdJ3pCI\n7U1buXXV7VfWijjs/2iEHW/w2hcgu3ZjSmUtJ+ugD+8WE831Ggy3dFOy4RlOzWul/O6q4XKsyWeD\n5KgvyedXSN5g67gOeIoEED5g5SL29HZQUXYlfcSLXMRUWD1LkXWTmNnSxLtVnZyJXADM+YHpVG6p\n3ZtSVhj1l/gew46WY/QVRQi1l1I2ZgJtfUe4+tK0wOSnmjKXRvCP2Bz1WG/w2xdSETsaMXHXWjrO\n+bdytRP3kMm+EFt1r6t8L+P2ObOYqB3CLd1c7ohWUi6OhAl1tXGhqInuuwYJLXQ2lTVTxBtS42Q1\nPwkgfCDbXESvUTOupqSnmzmRIkK3zPJbzjCJcktzje7t3pSZDnmb3rtvuj5IrDFZj6HWmj/6yy9w\neeVlyt8M8eXP5/bDK5sfEk70MCXLmZbRh8LBdF+IJb5nunrVYli1mMn1zYReWEtXq7ejEU55g1e+\nALm3G8OLibZcWUzUjdGIdKMPp9dtpOTYFsbNj66QraeX0DH/FGOqKnJeEDQrfUk+Pze9IdsA001v\nyAUreHDKUySAyABdVc3FcJcrE6mN5Vyv3wpG4VRuqRM3pVND3k5Tc+0g8Jkk2/Mfp64RL0cEkmmW\ndR+EoFG9ajHhWTOZ1vAyF468Rdudz3syGuHEfR80X6ipXcXJ6ll0/7qB8uYf0L+6jr7q2cOlduOZ\nyllumPmXCbZfGlElKRlWpT2IVtsrrnyLrodLCdW9d3h7BRg7D8aJa8TrkWI35tM42SElAYSvbARW\n+qxhNJfLpgz/f3djC/fd63+DkCy3tDJUzq3LbsjqWF5OfvZ6jsGTX89+jQUv9eWSIpCpRqdKMWb7\nQ8LOZ5hKM8i6D4XLRkz0BotU+fHWonN96zZS/cIW10cjnPIGr4tiONH2TqmshQdrab8+uphozbHR\n63Po0AQAvvZ7ABeTHGnt8P9UX3REYUd7JzfXTL2yS3m0lCxAx/xTjF1Yy2yHvlM3fcE6vl1vyCXA\ndMsbchmFcKNDSgIIIRAkyy3d8eZbWZmErCbpL2724DiVf+zlD4lkmn+x9hesWnmrK+cUBC+46kMr\nCbfcwLSGlzm9r4l3lrVQcecqx3uonfCGoPvC8GhEgueKu85ldazB6nIAzjW20H1L4u/K6ZEGt3v2\nnfAGrwNMJ+fTOJ26ZCEBhK+s9FtAWm5M0oB4TbLc0nMXs0u18nrys5u9+05UZ/B69CGXFIFMNTpR\nijGXHxJ2PsOkmve9zd0P35/zcYWgs9JvASnJtDqPNRpRsm4jEzdsoePwy/TdON3RtCYnvMGPohhO\nt72xn+cIb6jMzRu8yjxw2xfAvjfkGmC64g05Tv52YzRbAogMcXIeRM2MYhJNjItuFxLhVG5pPq0m\nGbTKPW734DhxjXj9QyKR5uHeIsfPJphMPvuCNRoxp+FlTh9uoiccLRPuRFqTE/d9PvkCBMsbvOjZ\nt3uN+BFgOvWbx825dBJA+IBVks/0Wt9gzhyIZPi1DkSmuDXHwKnqDF7NgbCTIuDlPI1cfkg4qc+t\noWbBfGJLtZruDbnoGz0a4W7JVz/WgcgG8Yb89gXwf50lt/1EAghBCCBBWgUbgrNuhgnVtSR4EPIZ\nN0cjhGB5g/iCe3jRGVXk2pGFtJjcw2RhyhyIZDgR3Wut+fbTq9Ha+aQRN3uYIjUje21y0e91D87N\n+xcP/y2MXMeupr1pX2v6WhVOjz4IguneYFdfVe0kSj75CCVVD3L1hqn0/XIXbQ3Pc/LM6CpCueJE\nDX63fAHEGyC/fQH81+h2Z5SMQGRBQa4HUQAEKV8UgtNrE0sQe3C8RFKXvOdiuEfacp8xeTQiaL4A\nwfMG8QV38KozSkYgfGR701a/JaRld6NzPUJusH1rk63Xx+eLOt3bZFdfIuz02nihz2lM12hXnwQP\nQjyme4OT+qzRiNIln3J0NMLOfem2L4B4g11M1wf+aPTST2QEQihogpQvapFPvTZOlKLNByR4EAqd\nSUvnw9KvMHXdRsa/sIXjPo5GBNEXQLyh0PG6M0pGIHzE9DxXyO85EE7miybD7xzIdPitz0oTWF+/\nOek+fmtMhx19F3vCEjz4RDQltcdvGQkx3Rvc1HfVh1Zy8ZbfZWbDUir/oy3n0QjbKwC76AuQ3+2a\nE6TzBr/1ZYKXGv0YyZYAIgdMNR0hO1Lliwru40WagMnIpGlBSMykpfMp+eQjDI79ENUvlNLzRj3t\nLfWenFt8wX8K3RtyxevOKAkgskRXVTt2LNPzXCG/50A4mS/qhj4v8FNfojSBROTjZyjzHszA1FEI\n073BK33WaMSSgzczu42sRiJybTe88AU7+rzCdG8w/fMD7zT6NZItcyCEgiVo+aJ+54Q6eX47CwgF\nHQkeBCFzLpdNif7nTJ8n5wuaL4C/3uD0uQvZG3LBzzRYGYHwEdPzXCG/50B4gZP6MpkvYJFpDfNs\n9GVz/kyOlWmaQD59xxI8mIlpoxCme4PX+sI9ZZzu6OXirxsIt7yZ0Wvyqd1Ih5/e4KQvWMfLxBtM\n/37BfY1+p8FKACEIhpGogc82J9TpRt3pnFSv0gRMQoIHM3EyLVVwnqraSZR+5MNcGvd7TGyYybkt\nDRzdttZvWb5gmje4MVehEL0hF0zwEwkgcsSJHivT81whv+dAeEEu+hI18JnOF4DsGvVM9WVz/kx4\n9Auf4gff/CZrYv5+8M1vJkwfSKbR7ZViMyWTz9CExl5IjUmjEKZ7gx/6qlct5uL7PsbUlvsoqz/J\nkf9anXJOhHjDaJz2Bqd9ATL3hlT6guQNuWCKn0gAkQPSYxVssmlcvG6IEjXw2ZYVdLpR96qsYbY4\nPcriFqY09kJypE0PBtZoxMWKTzDpV5WcePkVR6sziTdkr8c0X4DgeEMumOQnEkD4iOl5rpCfcyCy\naVzsNkTZ6kvUwGczXyDbRj0TfbmUNXTSXBNpNKnMX6rP0KTGXkiPKaMQpnuD3/qqVy2m/65Pc91b\nt3H1b7oTBhHiDSNx2htyLXfrlDck0xcUb8gF0/xEAgihoMimcfG6IUrWwL/ZtDfjnFA3apjnkpPq\ndg+QG0PnTmNaYy+kRkYhgkVV7ST6qmcz5dxER44n3pAduc5VEG/IDRP9RMq4+sj2pq2+9+Qkoqj3\n5PD/dze2cN+95o5CbN/alHUlofjG5b57lo/aT2vNZz//tYz2dUpfsgb+kRt+l8fu+fOMjmE16mp/\nzHsBdjXtTag9E33ZljWMN9dk5fcyLf8Xr9G0Mn+JPkMTG3shMy6GexhXVeGrBlO9wcIUfYOlye8v\nN7zBarMWXj+v4L0hl3K3TnpDIn1B8IZcMNVPJIAQElNeBpz1W4WjZNO4vLZ+ExsPbOPy7+u0+zpF\ntg18IkyoYZ5pkGb1RC2qr83KfFP1pGVr4m5gamMvpEdXVaPCXX7LELJkTLgPbPRzZeoN619v4N+3\n/xeTd1xF5C7vfqSKN2R/fMA4b8gFk/3E9wBCKTUJ+DfgXqAL+IrW+t+T7PsJ4PtAH9FLRAMf0lr/\n2iO5w0RXMO2y1VNlQg9OIvTR4/QXHebQ/9/evQfZWdd3HH9/2SQkS3aXmAuYQBKkIUAiEEhEEaKI\nVnCKjgyto9YLpZ22Wh0vgDOKtqK9QMdLdYrtDAgqtS1FhRaxFTJBQxIk4ZKsSLgEQi6EZNnc2V0S\nsr/+cc5ZTnbP2X3OeS6/3/Ocz2smQ87us+f58uPs78v3+d0m9XDWwiW+wxlVs0+YgLqdi3OOf/r+\nDxg828XuiBqJz0cHn/QczaiJOOqTqFoxJpFMk1SJL+SOPo985gbfoxCh5oaKkOLbv3ccbudL7Nzz\nNDOOfa2KSDo3VPqsvjkDbBncrtzQoKRzQ634Qs0NzfJ5SFwU3gsI4EZgAJgOnA383Mwec849Uef6\nVc65pZlF10J6lnUzcctydsxex76zZtK+cMkRHXLeRe1c7r3vAbYNvghbwZ4xTuo6kddN6fLaEeVF\n1CIt6pOoWoYn0+rhbl9UPKTCS27QKER+HDX7BA6seT1HrXyGfW4Z/advZs68ixp+nyi5YajP2gbs\ngzf0zuZ1U7pqXisjtWpuaEZe8onXAsLM2oHLgNOdc/3ASjO7C/gI8EWfsWUhlHmkUFU8nLuJzlnz\nmfXmS4Hk5vClpZH4ojzFqTz9OHzxIFjp9eRH2rnl+uubGp4uUvtFESURNzpPdawYmx3uHoov4lqM\nelYtW8HiJacH39nnSQi5wecoREi5oZZQ4ps6bwrMez8Dj55O1/KfsJ2neR6YM++iRHPDEX3W3Ph5\nAZQbIF5uiBJfnNwQNy9EjXG4vBQP4H8E4hTgkHNuY9XX1gFvG+VnFpnZTmAXcBvwd865wRRjbBmz\nF3Swb9bxQ8VDKyriHMosRSnSkmzjRqZCjRZPM0mm0tFDuJ39gYHesS8Kk9fcoFGIfJmyaD67tp3H\nkv3P8BgDib+/8kJ8ecsNcR9MNSNPxQP4LyAmA8M33t4HdNS5/lfAQufc82a2ALgdOARcn16I6Qnh\nCc5YQn5CAsnHl/QcylZrvygabeOxRh/i7IbSbJKp7ujPueSCyPfLUo6LBwgkN/gahQg9N4QeHyTb\nt6Uxt165YaRG2rmRcyoazQ1JPJiKEmO1vBUPAJbm/sVmtpzSE6NaN1kJfBpY6Zw7pupnPg8sdc69\nL8L7fwC4yjlXc6Wvmbk/eOcfMfO4EwGYfEwn809eyOIzzgNg7fpVAE2/fnjFPYzrah/qTB9avxog\nl697lnXzUu8dPHfiHt5zZWlbuMox7JVfAr3O7rVzji9cfQOXX3YxbzrvzFTvt+TNb+Tb37mVty45\nG8xGvA6hPWq+XrWOr3/nn3n297eUnlg9B2946kTu+vd/xcwivd/ateu55aU76J/7ChNWj+dPz/gA\nn/irD9e9/tW+vSxecjoAa57aBsDi80rfX7tqfRCvAVb/+kG2b+2hbfxE7vmP+3DOZb+H4SjykhuW\nzJrHhKmdQfXVel379f7Vj3H5kvE8du4AO14qnekRTF+Vx9zgHCvXPMJnPv1x1jzYDYzMFSG0R83X\nMXPDjd+9jZu6b+fgWw4xadPRXDH9D1l8zhtTi3fVshUAQw+j0swND69azwtbdgBw9+3xckOqBcSY\nNy/Nc90FLKgMVZvZD4Gtzrkx57mWk8TVzrnFdb7vHv7F9iRDPvL9y0PczT6hCmUeKZTWQJzSuZbf\nzu85YgpTq83TTFqz8f3y3hV8+Qff4msf/1yqw6cPrV7PngN7j7hXVvduJMZabfjLe1fwpQe+Qf/c\nV4a+NmnT0fztBVdFits5x4c/9TnWn71haN+eMx45lX/77jdrPm2q94Ro7ar1Qx11CCojDxO6SnG+\n5XWXBFdAjCWU3BC3j29WSLmhlhDj23X3/Zw88xkeO3eg4TUQPoSeG2787m384Dc/PeI+IeWG0dov\nTm5oNC80GyP4H3U45/XxcoPXk6idc33AT4HrzKzdzM4HLgV+VOt6M7vYzGaU/34qcC1wZ1bxDle0\nk0td335endruO4yWl+kpp8PuNTg4mOkJq3E0exJqRdSTWQ/u6/Xe0Uc1vHjIq1ByQ9H6eMm3rHKD\nc47/XfnrI+6T9enbccTJDUmf2F1PXnLKaHyvgQD4JKW9vncCLwF/Udmmz8xOBB6ntBPHVuAi4FYz\nOwbYQSmZ/L2XqBMQ2hOcWkJ+ggPZx9fozgzNxBd3Xn8j9ry874h7ffPbN2d276jqtWHcvdGjzLeN\n0smHMvpQlOKhSjC5Ieu1EKHnhtDisz07Rnwty9zQzI49IeeGe+97gO3zdx75P8/OBZUbkj4luyLJ\n9S71YixC8QABFBDOud3A++t8bwvQWfX6auDqjEITGSHtnRka3eI06Xv950/uof+y7E5Y9Wm0JJO3\nDr6AxUMwuUE7MoWt9+ndHPPAL3h58gbWdPQzPs6R1E3KYseerHJD7fvcgXPQf07xc0Oah/blYee+\nRnidwtTqKgvBQtDW34t1jJy+VFnsE6os42tmCLfR+LIaPq3ca8PBjUfcq/+MAXg2/Xs3Isv/xs1M\nV6peoOZDEYuHEB3sHb4pVHpCyg21hBJfz7JuJqz8Ec/NWcHhi8bT+baLhg6Sy6rfaHZqT6i5Yeg+\nm167zxNdz47IFb5zQ+j/bwJHxlidV4pQPEAAIxDiX8+ybtpfWMWa+Tu8PL3JiyyGj0cOnzq2bn2R\nR7p+m8q95h48gc4nJgOweesL9L3ST/vgJGYfmlm+e2ucsJrXJ0MqHrKhUYhwzV7Qwb75872dX5TV\ntKKsckPlPvt3HqBzoJwbtrwAAzD7iZlD17VKbkhC3ka0o/K6C1Pa0t6FCUq7dPg6rTSuyunTW2ev\no2P2VCYsPZ8Zx6qAqCXJnRkaEdKuF0WU18IBohcPedyFKW3N5AZfOzJJfT3Lupk3bjmPLxrwUkD4\nygug3JAHoRcOud6FSfybvaCDzsXzOeG9V6h4GEWWU4sq8rTrRd4Mn6oUagdfj0YesqcdmcLla/dA\nH3kBlBvyIPTiIQkqIDwKZR7paEKfZ5hVfM1uCxcnvlpD40kL/b8vJBtjGoVD1msgVDz4lcVaiNBz\nQ+jxQTZ9W5ztQpUb4gk1vuocUzlstKi0BqLFub79vkPIhTR3Zqgly92Y0tTM9oZpyPNUpWoqHvzS\nWoiwtPX3Qoe/+2edF6AYuSGUvJC0EaMOBS8gNALhUSh7aY82/KtzIOJpNr6shsbTbr/K9oZx4m42\nxsqToIP7eodGG9IoHrI4B+LAQC8HBnqZ0DVVxUMA0h6FCCU31BNSfLV2DwTlhrjSbD+feSEN9Xbv\nC+WMoLRoBKKF+X56I/UleZiNL8Pn6Wb1hKwoow0VGnUIi0YhwrDr7vs5ugV3D8x7bvCVF9LSCmsd\n6lEB4dFD61d7f5JTenozUPf7D61eH1SlP1xR48tqaDzN9ktqe8MoMVYXDZBtZ7521frUnjSpeAhX\nmqdTh5AbRuMzvt6nd9O+5n7aJq2k5/JJdC68qOYGIMoN8aTVflnmhTRFeVCVZm4IgaYwtaieZd2l\npzcd3b5DkQIamqc758h5uknvFlJrUXQRngRVpiyBiocQaUcmPyrFw7hZazlw0Qzmnv8h7R6YI1nl\nhbTleQc/ODK/xKFzIOLeI2fnQFQ64N2HVtB33mHGnz5v6OROkaT88t4VfOmBb9A/95Whr03adDR/\ne8FVsYfZizZFabikCwedAzFSErkhb31/EfQ+vZvZm1fQd/wGdrzrVBUPOZNmXshCEaYrVeeXuLlB\nU5haSKV4GJjyKIPzxtG59O3qgCUVSc/TLXrRUKFRh/xwU6dzUEVE5lz/Xt8hSJPyun6jKPknHRrF\nmQAADwVJREFU6fyiAsIjH/NIpx3XRt/xkzm0dHGk4sH3PMOxKL540oov7jzd6g577Zrfcc4lF8QN\nKTVJzHNV4SDVtAZiDMeOfXBcq/a9SUkjviTXb2TRfnELh5DWQKSRY1RAiEgQ6i2Edl1dPsLJjIqH\nfEtzMbUcyZ5cxyt9L/DcpAO0M9t3OFJgRZiuBByx1iHpHKM1EHHvkaMh7N6nd3Pik3fTv2gvO5bM\n1vQl8crnzkkhyKpw0BqIkZLMDXnKAXmltXuSlaIUDjB2jtEaCBHJheEFAxSjk25Umk+ExA+NQqSn\nUjwcnLSSwTdp7Z6koyjrHCqyeEClbVw9emj96szu1bOsm4nLv8f6+WvZNJfIHfBDq9enG1hMii+e\nNOOrPgm61larUTvptavCbsNG4qvu1FU8FEMaW7pmmRuakXV8045r49hTZjBh6fnKXRlplfhq5aek\n+MhdWW4BrhGIghvaN3vKo+x+xwCdS2sfuiMSh0YXRqdRB5HmaeclSVrRRhwg+/V0WgMR9x6Bz3/V\nvtmStFrFAhSnE05SCIWD1kCMlHRusN4egKBzQV7tfvRJZm17SGv3JBFFLBygueJBayBEJDUqFpoT\nQuEg2XFTpw8VEZKCjsmARiGkeUUvHCD7XKM1EB5lNY/U9e+NtG92La0yDzIteYlv+HqFyp/haxaS\nniMaRd7WQIS0zmHXYO0CUMKmNRAlu+6+nwlrfsL6mfc3tHYP8tP3hqoo8aW5xmEsaecu37lGIxAF\nd9SBnb5DkIAMH1F4tW/vUKEg8YR2noOKh+xpN6ZkVNbu7Tj+biZdPpPOhVq7J40p6ogDhDPCrTUQ\nce8R8BqInmXdtG/8HzYu2kznydNpX7hEnXALqDftCIrXkYYg1MLhmImleN4+WWsghksrN4ScD/Kk\nZ1k388YtZ907j9J5D9KQIhcOkGy+0RoIGaHy9ObQoRX0LOqn67yF6oQLRkWCf6EVDjCyeBDJo7b+\nXujwHYXkSasUDhBOztEaCI/Smkc6uHkrkydvZ/Ct42h/3yWxioeizIP0JU589dYl1DtToZn5naGv\nL4CwYqzssX1goHdo3ukjD/iPb9dgL7sGezlm4lQVD54d7N0X+z1aeQ1Ez7Jujn5hFWtnboz1PkXO\nDVnIS3w+1ziMJanc5XutQz0agYgh5F03OrpexWZM05SlwI02kgDFfJKSRyE+/anQqEM4tBtT8yoj\n5xMmraTn8kla9yCjqqzfg+LmyZDzDmgNRLz3D3S+q+aPhkdTjvIp5A48auGgNRAjpZkbQs0Loavk\nrccXDTDrzZf6DkcCVfSpShVZTJHVGggZoa2/F5vZDgz4DqXl6NyE/Au5aKjQqEPYtBtT816d2tyW\n41JcrVI0QJhr6+rRGgiP0phHuvvRJ2nv2cQOknm6lpd5kFmLem7Cmqe2Bd3hhbS+oJ6sYqysbYDG\n5ppmuQZCax3C56ZOj/0erbYGorJjYNx1D9WUu+IJIb7R1jcULXcNzz95oBGIAulZ1s2hrbfQe/5h\nxp8+T9OXEqJRheKqHm2AcDvu6jMdVDhIUVTvGLj7HePoXKp1D9JaIw6Qr1GHaloDEef9A5rr2rOs\nm+N77+H5s3uZsPR8dcJNUrFQfHkpGiriTlfSGoiRWik3hKpSPIybtZadi7q07qHFtVrRAP6ny2oN\nhCch7rTRcdwkDp82W8VDA2oVDK3SebUa3511o7TOId+0DmJs045ro29aF+NPPdV3KOKJCof8/jt7\nXwNhZp80szVmNmBm349w/WfNbLuZ7TGzm8xsfBZx1hI3OSQ1j7T36d10bH6YnR17E3m/aiHMgxxN\no/FFOU8hSaHP0ww9PogXY61zG5LusJNeA6F1DiV5zg1x10G0whqIwc1bGeh9gi1Hv5RARCMVLXdl\nLe344p7fkNfcFeqZDs3wXkAA24CvATePdaGZvRu4BrgQmAOcDHw11ehStGHj72K/R8+ybiYu/x4v\nLvwN28+dkvi6hw2PJ7eoLQ1R4suyYBjuyd+G3X6hxweNx5hF0VDtqe5k2rBSOIBGHcqUGwIVJ77e\np3fT/+OfcWjrLWw8aVNqo+ZFyF0+pRFfvQ1HmpG33DU8JxWB9ylMzrk7AcxsCTBrjMs/CtzsnNtQ\n/pnrgB8DX0w1yJTsf7n5E0uH5o9OeZTd7xigfeklqXTC+/e/nPh7JqlWfMOnJfkcFj2wL+z2Cz0+\nGDtG32saDuyN14ZaIF2bckO4mo2vkrcGpjzK4LxxzH3vpxOO7DV5zF0hSTK+NKYp5SV3hTpdqTrv\nNMt7AdGgBcCdVa/XATPMbIpzbrenmLyZdlwbfcdPZvC0+Uxt8XUPIRUNkj7fRUMSVDgkSrkhJyp5\n69DSxb5DkRS14tqGagcGejn4ah8QXn5KoniA/BUQk4Hqif77AAM6gMySRFILqLft2JrI+xye3pHI\n+9SybcuO1N47CVuefT7o4+xfCLz9Qo8PXosx1KJh++bG2lCFQyqCyA1JSSo3pCVOfK4/+bV6tYSe\nu4oaX1aFQ8i5q5Krdu7YH0yeqqisr0tCqtu4mtly4G1ArZusdM4trbr2a8As59yfjPJ+jwFfd87d\nUX49FdgJTKv1lMnMirtHrYhIRKFt46rcICLiX7DbuDrnLkz4LR8HzgTuKL8+C9hRb4g6tKQpIiLK\nDSIieed9FyYzazOziUAbMM7MjjaztjqX/xC40sxOM7MpwLXALVnFKiIi2VBuEBEJl/cCglJH3wd8\nAfhw+e9fAjCzE81sn5mdAOCc+z/gBmA58BywEfgbDzGLiEi6lBtERAKV6hoIEREREREplhBGIERE\nREREJCcKVUCY2SfNbI2ZDZjZ98e49mNm9mp5GHx/+Z9LR/uZLOMrX/9ZM9tuZnvM7CYzG59yfFPM\n7GdmdsDMnjOzD45ybSbt12BMmbZXI/H5+LyV79vI70Tm7ddIjJ5+ZyeU22KTme01s0fM7OJRrvfx\nGYwco6/PoU+h54VGYyxfr9yg3BA3vqBzQ8h5oXzfoHNDFnmhUAUEsA34GnBzxOtXOec6nXMd5X/+\nOsXYoIH4zOzdwDXAhcAc4GTgq6lGBzcCA8B04I+B75nZaaNcn0X7RYrJU3tFjq8s688bRPzMeWw/\naOz3Nus2HAdsBi5wznUBXwZuN7PZwy/02IaRYyzz8Tn0KfS8AMoNqcWk3FBX6Lkh5LwA4eeG1PNC\noQoI59ydzrn/Bnb5jqWWBuP7KHCzc26Dc24vcB1wRVqxmVk7cBlwrXOu3zm3ErgL+Eha90w4pkzb\nq4n4vGjgM5d5+1WE/HvrnOtzzl3nnNtSfv1zSot0z6lxuZc2bDDGlhPy56tCuSHVmJQbagg9N4T+\next6bsgiLxSqgGjCIjPbaWYbzOxaMwupPRYA66perwNmWGmLwjScAhxyzm0cds8Fo/xM2u3XSExZ\nt1ej8YE+b0nw2oZmdhwwj9K5A8MF0YZjxAhhfw5DEHr7KDcoN2QpiH5tDN7bL/TckEZeSPUgucD9\nCljonHvezBYAtwOHgOv9hjVkMrC36vU+wIAOoObhSAncb9+wr+0r36+WLNqvkZiybq/KPaPGp89b\nfF7b0MzGAbcBtzrnnqpxifc2jBBj6J9D3/LQPsoNyg1Z8t6vjcF7+4WeG9LKCyFVuaMys+VmNmhm\nh2v8aXi+m3Nuk3Pu+fLfH6c0pHR5KPEBB4DOqtddgAP2pxTfgfI9qnXVu1/S7VfH8DYYLaZE2yui\nyPFl1F5x+Gi/hvhsQzMzSh3wK8Cn6lzmtQ2jxJiDz2FDQs8LacSIcgMoN2Qp6Nzgu/1Czw1p5oXc\nFBDOuQudc0c559pq/Elqxb0FFN/jwJlVr88CdjjnmqpWI8T3FNBmZidX/diZ1B/uqqXp9qvjKUon\n0EaJKdH2SiG+WpJurzh8tF8SsmrDm4FpwGXOucN1rvHdhlFirCWkz2FDQs8LKcWo3KDckCXf/Voz\nsmy/0HNDankhNwVEFGbWZmYTgTZKv7xHm1lbnWsvNrMZ5b+fSunU0ztDiQ/4IXClmZ1Wnid3LXBL\nWrE55/qAnwLXmVm7mZ0PXAr8qNb1WbRfgzFl2l6Nxufj81a+V9TPXObt12iMHtvwX4BTgfc65w6O\ncqnPNowUo6829Cn0vNBojCg3KDckIPTcEHpeKN8v6NyQel5wzhXmD/DXwCBwuOrPV8rfO5HSvLMT\nyq//EXiR0hDSM+WfbQslvvLXPlOOcQ9wEzA+5fimAD+jNNy2CfhA1fe8tF+9mEJor0bi8/F5G+0z\nV45vv+/2ayRGT7+zs8ux9ZXvu7/83/WDAX0Gx4rRaxv6/lPv81X+XtC/p7Vi9PE5q9fP+WzDejGF\n0F6NxBfaZ254n+Gx/YLNC+X7Bp0bIsQXuw2t/MMiIiIiIiJjKtQUJhERERERSZcKCBERERERiUwF\nhIiIiIiIRKYCQkREREREIlMBISIiIiIikamAEBERERGRyFRAiIiIiIhIZCogREREREQkMhUQIiIi\nIiISmQoIERERERGJbJzvAESKwMzOBj4KHAbmAH8G/DlwLDAL+Ipz7jl/EYqISJaUF6TIVECIxGRm\nJwFXOOc+VX59C/Ag8DFKo3wrgEeAb3kLUkREMqO8IEWnAkIkvquAa6peHwPscs49aGYnAN8AbvUR\nmIiIeKG8IIWmNRAi8d3gnHu56vVbgPsAnHNbnXPXOOd2V75pZpPN7L/KSURERIpHeUEKTQWESEzO\nuecrfzezUyjNbV1e61ozuxL4PHAZ+v0TESkk5QUpOnPO+Y5BpDDM7C+BbwJTnHMD5a+dNHyhnJkN\nAnOdc5s9hCkiIhlRXpAiUqUrEoOZTTSz681sQflL7wLWVyUJozQXVkREWoDygrQCLaIWiec9wNXA\nw2b2KvB7wJ6q738RLZQTEWklygtSeJrCJBKDmU0FbgBeAhzwVeBGYAB4BbjLOTdi3quGqkVEikl5\nQVqBCggRD5QoRESkmvKC5InWQIiIiIiISGQqIEQyZGYfMrMbKQ1r/4OZfcJ3TCIi4o/yguSRpjCJ\niIiIiEhkGoEQEREREZHIVECIiIiIiEhkKiBERERERCQyFRAiIiIiIhKZCggREREREYlMBYSIiIiI\niESmAkJERERERCJTASEiIiIiIpGpgBARERERkcj+H5kDyCpgJtcQAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x105b8a630>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.svm import SVC\n",
|
||
"poly_kernel_svm_clf = Pipeline((\n",
|
||
" (\"scaler\", StandardScaler()),\n",
|
||
" (\"svm_clf\", SVC(kernel=\"poly\", degree=3, coef0=1, C=5))\n",
|
||
" ))\n",
|
||
"poly100_kernel_svm_clf = Pipeline((\n",
|
||
" (\"scaler\", StandardScaler()),\n",
|
||
" (\"svm_clf\", SVC(kernel=\"poly\", degree=10, coef0=100, C=5))\n",
|
||
" ))\n",
|
||
"\n",
|
||
"poly_kernel_svm_clf.fit(X, y)\n",
|
||
"poly100_kernel_svm_clf.fit(X, y)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(11, 4))\n",
|
||
"\n",
|
||
"plt.subplot(121)\n",
|
||
"plot_predictions(poly_kernel_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
|
||
"plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
|
||
"plt.title(r\"$d=3, r=1, C=5$\", fontsize=18)\n",
|
||
"\n",
|
||
"plt.subplot(122)\n",
|
||
"plot_predictions(poly100_kernel_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
|
||
"plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
|
||
"plt.title(r\"$d=10, r=100, C=5$\", fontsize=18)\n",
|
||
"\n",
|
||
"save_fig(\"moons_kernelized_polynomial_svc_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 13,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure kernel_method_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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bmIhOH3bi5lo3c2/De90OJewcTDlInQl1+HXAr1QsU9Hv92/eDOeeaz2U86ZM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\nC+LZPpVDXZFCAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x1068b6a58>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"def gaussian_rbf(x, landmark, gamma):\n",
|
||
" return np.exp(-gamma * np.linalg.norm(x - landmark, axis=1)**2)\n",
|
||
"\n",
|
||
"gamma = 0.3\n",
|
||
"\n",
|
||
"x1s = np.linspace(-4.5, 4.5, 200).reshape(-1, 1)\n",
|
||
"x2s = gaussian_rbf(x1s, -2, gamma)\n",
|
||
"x3s = gaussian_rbf(x1s, 1, gamma)\n",
|
||
"\n",
|
||
"XK = np.c_[gaussian_rbf(X1D, -2, gamma), gaussian_rbf(X1D, 1, gamma)]\n",
|
||
"yk = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])\n",
|
||
"\n",
|
||
"plt.figure(figsize=(11, 4))\n",
|
||
"\n",
|
||
"plt.subplot(121)\n",
|
||
"plt.grid(True, which='both')\n",
|
||
"plt.axhline(y=0, color='k')\n",
|
||
"plt.scatter(x=[-2, 1], y=[0, 0], s=150, alpha=0.5, c=\"red\")\n",
|
||
"plt.plot(X1D[:, 0][yk==0], np.zeros(4), \"bs\")\n",
|
||
"plt.plot(X1D[:, 0][yk==1], np.zeros(5), \"g^\")\n",
|
||
"plt.plot(x1s, x2s, \"g--\")\n",
|
||
"plt.plot(x1s, x3s, \"b:\")\n",
|
||
"plt.gca().get_yaxis().set_ticks([0, 0.25, 0.5, 0.75, 1])\n",
|
||
"plt.xlabel(r\"$x_1$\", fontsize=20)\n",
|
||
"plt.ylabel(r\"Similarity\", fontsize=14)\n",
|
||
"plt.annotate(r'$\\mathbf{x}$',\n",
|
||
" xy=(X1D[3, 0], 0),\n",
|
||
" xytext=(-0.5, 0.20),\n",
|
||
" ha=\"center\",\n",
|
||
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
|
||
" fontsize=18,\n",
|
||
" )\n",
|
||
"plt.text(-2, 0.9, \"$x_2$\", ha=\"center\", fontsize=20)\n",
|
||
"plt.text(1, 0.9, \"$x_3$\", ha=\"center\", fontsize=20)\n",
|
||
"plt.axis([-4.5, 4.5, -0.1, 1.1])\n",
|
||
"\n",
|
||
"plt.subplot(122)\n",
|
||
"plt.grid(True, which='both')\n",
|
||
"plt.axhline(y=0, color='k')\n",
|
||
"plt.axvline(x=0, color='k')\n",
|
||
"plt.plot(XK[:, 0][yk==0], XK[:, 1][yk==0], \"bs\")\n",
|
||
"plt.plot(XK[:, 0][yk==1], XK[:, 1][yk==1], \"g^\")\n",
|
||
"plt.xlabel(r\"$x_2$\", fontsize=20)\n",
|
||
"plt.ylabel(r\"$x_3$ \", fontsize=20, rotation=0)\n",
|
||
"plt.annotate(r'$\\phi\\left(\\mathbf{x}\\right)$',\n",
|
||
" xy=(XK[3, 0], XK[3, 1]),\n",
|
||
" xytext=(0.65, 0.50),\n",
|
||
" ha=\"center\",\n",
|
||
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
|
||
" fontsize=18,\n",
|
||
" )\n",
|
||
"plt.plot([-0.1, 1.1], [0.57, -0.1], \"r--\", linewidth=3)\n",
|
||
"plt.axis([-0.1, 1.1, -0.1, 1.1])\n",
|
||
" \n",
|
||
"plt.subplots_adjust(right=1)\n",
|
||
"\n",
|
||
"save_fig(\"kernel_method_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 14,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Phi(-1.0, -2) = [ 0.74081822]\n",
|
||
"Phi(-1.0, 1) = [ 0.30119421]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"x1_example = X1D[3, 0]\n",
|
||
"for landmark in (-2, 1):\n",
|
||
" k = gaussian_rbf(np.array([[x1_example]]), np.array([[landmark]]), gamma)\n",
|
||
" print(\"Phi({}, {}) = {}\".format(x1_example, landmark, k))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 15,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"Pipeline(steps=(('scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('svm_clf', SVC(C=0.001, cache_size=200, class_weight=None, coef0=0.0,\n",
|
||
" decision_function_shape=None, degree=3, gamma=5, kernel='rbf',\n",
|
||
" max_iter=-1, probability=False, random_state=None, shrinking=True,\n",
|
||
" tol=0.001, verbose=False))))"
|
||
]
|
||
},
|
||
"execution_count": 15,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"rbf_kernel_svm_clf = Pipeline((\n",
|
||
" (\"scaler\", StandardScaler()),\n",
|
||
" (\"svm_clf\", SVC(kernel=\"rbf\", gamma=5, C=0.001))\n",
|
||
" ))\n",
|
||
"rbf_kernel_svm_clf.fit(X, y)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 16,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure moons_rbf_svc\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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NCE+p87+m/Aq/6jKqLt8u/xZlvRCDgVPU7XuDSy9b7bUocdnhr7W8WudkuNI2/1blVsM0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\nz72PhrYPlrXy5ro9nhsOkaFCBkYo1IX7l4Z+FgzMo2Fr4k6oTl2fTD7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Hnz9fBqIbXJVJ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\nTK8rAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x105b085f8>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.svm import SVC\n",
|
||
"\n",
|
||
"gamma1, gamma2 = 0.1, 5\n",
|
||
"C1, C2 = 0.001, 1000\n",
|
||
"hyperparams = (gamma1, C1), (gamma1, C2), (gamma2, C1), (gamma2, C2)\n",
|
||
"\n",
|
||
"svm_clfs = []\n",
|
||
"for gamma, C in hyperparams:\n",
|
||
" rbf_kernel_svm_clf = Pipeline((\n",
|
||
" (\"scaler\", StandardScaler()),\n",
|
||
" (\"svm_clf\", SVC(kernel=\"rbf\", gamma=gamma, C=C))\n",
|
||
" ))\n",
|
||
" rbf_kernel_svm_clf.fit(X, y)\n",
|
||
" svm_clfs.append(rbf_kernel_svm_clf)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(11, 7))\n",
|
||
"\n",
|
||
"for i, svm_clf in enumerate(svm_clfs):\n",
|
||
" plt.subplot(221 + i)\n",
|
||
" plot_predictions(svm_clf, [-1.5, 2.5, -1, 1.5])\n",
|
||
" plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
|
||
" gamma, C = hyperparams[i]\n",
|
||
" plt.title(r\"$\\gamma = {}, C = {}$\".format(gamma, C), fontsize=16)\n",
|
||
"\n",
|
||
"save_fig(\"moons_rbf_svc_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Regression\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 17,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"from sklearn.svm import LinearSVR\n",
|
||
"\n",
|
||
"rnd.seed(42)\n",
|
||
"m = 50\n",
|
||
"X = 2 * rnd.rand(m, 1)\n",
|
||
"y = (4 + 3 * X + rnd.randn(m, 1)).ravel()\n",
|
||
"\n",
|
||
"svm_reg1 = LinearSVR(epsilon=1.5)\n",
|
||
"svm_reg2 = LinearSVR(epsilon=0.5)\n",
|
||
"svm_reg1.fit(X, y)\n",
|
||
"svm_reg2.fit(X, y)\n",
|
||
"\n",
|
||
"def find_support_vectors(svm_reg, X, y):\n",
|
||
" y_pred = svm_reg.predict(X)\n",
|
||
" off_margin = (np.abs(y - y_pred) >= svm_reg.epsilon)\n",
|
||
" return np.argwhere(off_margin)\n",
|
||
"\n",
|
||
"svm_reg1.support_ = find_support_vectors(svm_reg1, X, y)\n",
|
||
"svm_reg2.support_ = find_support_vectors(svm_reg2, X, y)\n",
|
||
"\n",
|
||
"eps_x1 = 1\n",
|
||
"eps_y_pred = svm_reg1.predict([[eps_x1]])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 18,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure svm_regression_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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ixYvp2bOnqatkMg8fPmTFihVMmbKUzMwDFN3iyN19AWvWBBT38TKrCOsAyoyT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\n8PHx4eTJk7z55pt6FVfPusvo7BxMjx4+ODsHs22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6dzP/nK+UigHQNG0uMAPwyr2xr6+v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\nCmFOZSoBLMiNGzfw8fHBxsYGHxM/HrFEu3fvZuLEifz5558AdOnShXn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igjvnz2NVowYD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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x105bce668>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"def plot_svm_regression(svm_reg, X, y, axes):\n",
|
||
" x1s = np.linspace(axes[0], axes[1], 100).reshape(100, 1)\n",
|
||
" y_pred = svm_reg.predict(x1s)\n",
|
||
" plt.plot(x1s, y_pred, \"k-\", linewidth=2, label=r\"$\\hat{y}$\")\n",
|
||
" plt.plot(x1s, y_pred + svm_reg.epsilon, \"k--\")\n",
|
||
" plt.plot(x1s, y_pred - svm_reg.epsilon, \"k--\")\n",
|
||
" plt.scatter(X[svm_reg.support_], y[svm_reg.support_], s=180, facecolors='#FFAAAA')\n",
|
||
" plt.plot(X, y, \"bo\")\n",
|
||
" plt.xlabel(r\"$x_1$\", fontsize=18)\n",
|
||
" plt.legend(loc=\"upper left\", fontsize=18)\n",
|
||
" plt.axis(axes)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(9, 4))\n",
|
||
"plt.subplot(121)\n",
|
||
"plot_svm_regression(svm_reg1, X, y, [0, 2, 3, 11])\n",
|
||
"plt.title(r\"$\\epsilon = {}$\".format(svm_reg1.epsilon), fontsize=18)\n",
|
||
"plt.ylabel(r\"$y$\", fontsize=18, rotation=0)\n",
|
||
"#plt.plot([eps_x1, eps_x1], [eps_y_pred, eps_y_pred - svm_reg1.epsilon], \"k-\", linewidth=2)\n",
|
||
"plt.annotate(\n",
|
||
" '', xy=(eps_x1, eps_y_pred), xycoords='data',\n",
|
||
" xytext=(eps_x1, eps_y_pred - svm_reg1.epsilon),\n",
|
||
" textcoords='data', arrowprops={'arrowstyle': '<->', 'linewidth': 1.5}\n",
|
||
" )\n",
|
||
"plt.text(0.91, 5.6, r\"$\\epsilon$\", fontsize=20)\n",
|
||
"plt.subplot(122)\n",
|
||
"plot_svm_regression(svm_reg2, X, y, [0, 2, 3, 11])\n",
|
||
"plt.title(r\"$\\epsilon = {}$\".format(svm_reg2.epsilon), fontsize=18)\n",
|
||
"save_fig(\"svm_regression_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 19,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"SVR(C=0.01, cache_size=200, coef0=0.0, degree=2, epsilon=0.1, gamma='auto',\n",
|
||
" kernel='poly', max_iter=-1, shrinking=True, tol=0.001, verbose=False)"
|
||
]
|
||
},
|
||
"execution_count": 19,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.svm import SVR\n",
|
||
"\n",
|
||
"rnd.seed(42)\n",
|
||
"m = 100\n",
|
||
"X = 2 * rnd.rand(m, 1) - 1\n",
|
||
"y = (0.2 + 0.1 * X + 0.5 * X**2 + rnd.randn(m, 1)/10).ravel()\n",
|
||
"\n",
|
||
"svm_poly_reg1 = SVR(kernel=\"poly\", degree=2, C=100, epsilon=0.1)\n",
|
||
"svm_poly_reg2 = SVR(kernel=\"poly\", degree=2, C=0.01, epsilon=0.1)\n",
|
||
"svm_poly_reg1.fit(X, y)\n",
|
||
"svm_poly_reg2.fit(X, y)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 20,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure svm_with_polynomial_kernel_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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qlGVPQhDsHGdn59Spidi//krnb6abclxIypTjwYhxhA334GDEuExTkXXdH3Ip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\niEiF+X8SdJP55+HdJAAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10683b5c0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.figure(figsize=(9, 4))\n",
|
||
"plt.subplot(121)\n",
|
||
"plot_svm_regression(svm_poly_reg1, X, y, [-1, 1, 0, 1])\n",
|
||
"plt.title(r\"$degree={}, C={}, \\epsilon = {}$\".format(svm_poly_reg1.degree, svm_poly_reg1.C, svm_poly_reg1.epsilon), fontsize=18)\n",
|
||
"plt.ylabel(r\"$y$\", fontsize=18, rotation=0)\n",
|
||
"plt.subplot(122)\n",
|
||
"plot_svm_regression(svm_poly_reg2, X, y, [-1, 1, 0, 1])\n",
|
||
"plt.title(r\"$degree={}, C={}, \\epsilon = {}$\".format(svm_poly_reg2.degree, svm_poly_reg2.C, svm_poly_reg2.epsilon), fontsize=18)\n",
|
||
"save_fig(\"svm_with_polynomial_kernel_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Under the hood"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 21,
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"iris = datasets.load_iris()\n",
|
||
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
|
||
"y = (iris[\"target\"] == 2).astype(np.float64) # Iris-Virginica"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 22,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure iris_3D_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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KfaeBFiEHX9h6PB5YrVbu/0ptaSO59rRGL6Sa6lH0giA2HhIQBLEJkLJflYo2iA2sN9JC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JxCQCYnk6neRqPx1NKh/H4/ysrKCiqqfD4ffvjDHwqGbZ7nJR+mhGiyLCv4TkjHgXy/0+nE4eEh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\nd0UA1spXKg1FKBTC7OwsiouLJUlJJpqMxsbGCPIAXM7aknY6cW8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2VSDEgWSsPEricB3i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\nhBBCCCGEcNv/AZMsHIYXItkMAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x1077d85c0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from mpl_toolkits.mplot3d import Axes3D\n",
|
||
"\n",
|
||
"def plot_3D_decision_function(ax, w, b, x1_lim=[4, 6], x2_lim=[0.8, 2.8]):\n",
|
||
" x1_in_bounds = (X[:, 0] > x1_lim[0]) & (X[:, 0] < x1_lim[1])\n",
|
||
" X_crop = X[x1_in_bounds]\n",
|
||
" y_crop = y[x1_in_bounds]\n",
|
||
" x1s = np.linspace(x1_lim[0], x1_lim[1], 20)\n",
|
||
" x2s = np.linspace(x2_lim[0], x2_lim[1], 20)\n",
|
||
" x1, x2 = np.meshgrid(x1s, x2s)\n",
|
||
" xs = np.c_[x1.ravel(), x2.ravel()]\n",
|
||
" df = (xs.dot(w) + b).reshape(x1.shape)\n",
|
||
" m = 1 / np.linalg.norm(w)\n",
|
||
" boundary_x2s = -x1s*(w[0]/w[1])-b/w[1]\n",
|
||
" margin_x2s_1 = -x1s*(w[0]/w[1])-(b-1)/w[1]\n",
|
||
" margin_x2s_2 = -x1s*(w[0]/w[1])-(b+1)/w[1]\n",
|
||
" ax.plot_surface(x1s, x2, 0, color=\"b\", alpha=0.2, cstride=100, rstride=100)\n",
|
||
" ax.plot(x1s, boundary_x2s, 0, \"k-\", linewidth=2, label=r\"$h=0$\")\n",
|
||
" ax.plot(x1s, margin_x2s_1, 0, \"k--\", linewidth=2, label=r\"$h=\\pm 1$\")\n",
|
||
" ax.plot(x1s, margin_x2s_2, 0, \"k--\", linewidth=2)\n",
|
||
" ax.plot(X_crop[:, 0][y_crop==1], X_crop[:, 1][y_crop==1], 0, \"g^\")\n",
|
||
" ax.plot_wireframe(x1, x2, df, alpha=0.3, color=\"k\")\n",
|
||
" ax.plot(X_crop[:, 0][y_crop==0], X_crop[:, 1][y_crop==0], 0, \"bs\")\n",
|
||
" ax.axis(x1_lim + x2_lim)\n",
|
||
" ax.text(4.5, 2.5, 3.8, \"Decision function $h$\", fontsize=15)\n",
|
||
" ax.set_xlabel(r\"Petal length\", fontsize=15)\n",
|
||
" ax.set_ylabel(r\"Petal width\", fontsize=15)\n",
|
||
" ax.set_zlabel(r\"$h = \\mathbf{w}^t \\cdot \\mathbf{x} + b$\", fontsize=18)\n",
|
||
" ax.legend(loc=\"upper left\", fontsize=16)\n",
|
||
"\n",
|
||
"fig = plt.figure(figsize=(11, 6))\n",
|
||
"ax1 = fig.add_subplot(111, projection='3d')\n",
|
||
"plot_3D_decision_function(ax1, w=svm_clf2.coef_[0], b=svm_clf2.intercept_[0])\n",
|
||
"\n",
|
||
"save_fig(\"iris_3D_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Small weight vector results in a large margin"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 23,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure small_w_large_margin_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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40fGoeLjDW2+FgqqiAhYuhBNOCD+HHw7NmjX+tfU+S1IltYugyHopKyuLOoT1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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10796e588>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"def plot_2D_decision_function(w, b, ylabel=True, x1_lim=[-3, 3]):\n",
|
||
" x1 = np.linspace(x1_lim[0], x1_lim[1], 200)\n",
|
||
" y = w * x1 + b\n",
|
||
" m = 1 / w\n",
|
||
"\n",
|
||
" plt.plot(x1, y)\n",
|
||
" plt.plot(x1_lim, [1, 1], \"k:\")\n",
|
||
" plt.plot(x1_lim, [-1, -1], \"k:\")\n",
|
||
" plt.axhline(y=0, color='k')\n",
|
||
" plt.axvline(x=0, color='k')\n",
|
||
" plt.plot([m, m], [0, 1], \"k--\")\n",
|
||
" plt.plot([-m, -m], [0, -1], \"k--\")\n",
|
||
" plt.plot([-m, m], [0, 0], \"k-o\", linewidth=3)\n",
|
||
" plt.axis(x1_lim + [-2, 2])\n",
|
||
" plt.xlabel(r\"$x_1$\", fontsize=16)\n",
|
||
" if ylabel:\n",
|
||
" plt.ylabel(r\"$w_1 x_1$ \", rotation=0, fontsize=16)\n",
|
||
" plt.title(r\"$w_1 = {}$\".format(w), fontsize=16)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(12, 3.2))\n",
|
||
"plt.subplot(121)\n",
|
||
"plot_2D_decision_function(1, 0)\n",
|
||
"plt.subplot(122)\n",
|
||
"plot_2D_decision_function(0.5, 0, ylabel=False)\n",
|
||
"save_fig(\"small_w_large_margin_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 24,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"array([ 1.])"
|
||
]
|
||
},
|
||
"execution_count": 24,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.svm import SVC\n",
|
||
"from sklearn import datasets\n",
|
||
"\n",
|
||
"iris = datasets.load_iris()\n",
|
||
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
|
||
"y = (iris[\"target\"] == 2).astype(np.float64) # Iris-Virginica\n",
|
||
"\n",
|
||
"svm_clf = SVC(kernel=\"linear\", C=1)\n",
|
||
"svm_clf.fit(X, y)\n",
|
||
"svm_clf.predict([[5.3, 1.3]])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Hinge loss"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 25,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Saving figure hinge_plot\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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Ng8JC35GJSHEqQYSYtW588NixLvlmZMCcOdC06cmfpxKESPWoBiwRK1ZA//7wz39C8+bw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\nwCIinigBi4h4ogQsIuLJ/wfWWrQFHr9ZZQAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x106928eb8>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"t = np.linspace(-2, 4, 200)\n",
|
||
"h = np.where(1 - t < 0, 0, 1 - t) # max(0, 1-t)\n",
|
||
"\n",
|
||
"plt.figure(figsize=(5,2.8))\n",
|
||
"plt.plot(t, h, \"b-\", linewidth=2, label=\"$max(0, 1 - t)$\")\n",
|
||
"plt.grid(True, which='both')\n",
|
||
"plt.axhline(y=0, color='k')\n",
|
||
"plt.axvline(x=0, color='k')\n",
|
||
"plt.yticks(np.arange(-1, 2.5, 1))\n",
|
||
"plt.xlabel(\"$t$\", fontsize=16)\n",
|
||
"plt.axis([-2, 4, -1, 2.5])\n",
|
||
"plt.legend(loc=\"upper right\", fontsize=16)\n",
|
||
"save_fig(\"hinge_plot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Extra material"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Training time"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 26,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"[<matplotlib.lines.Line2D at 0x105aefda0>]"
|
||
]
|
||
},
|
||
"execution_count": 26,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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2d0LeL+EuH0NO/xOlE7YjhIi8/5nM3AkswOXKBog2ivH6g1C61dLGklIvvPlGxPjEx0Pc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\ntCHQaDSabo42BBqNRtPN+f+eDQIToD2DSwAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x105b680f0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"X, y = make_moons(n_samples=1000, noise=0.4)\n",
|
||
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
|
||
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 27,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"[LibSVM]0 0.1 2.2511401176452637\n",
|
||
"[LibSVM]1 0.01 1.5425100326538086\n",
|
||
"[LibSVM]2 0.001 1.6408278942108154\n",
|
||
"[LibSVM]3 0.0001 2.3032329082489014\n",
|
||
"[LibSVM]4 1e-05 2.1392781734466553\n",
|
||
"[LibSVM]5 1.0000000000000002e-06 1.6126348972320557\n",
|
||
"[LibSVM]6 1.0000000000000002e-07 1.5042338371276855\n",
|
||
"[LibSVM]7 1.0000000000000002e-08 1.4637031555175781\n",
|
||
"[LibSVM]8 1.0000000000000003e-09 1.5253281593322754\n",
|
||
"[LibSVM]9 1.0000000000000003e-10 1.483699083328247\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"[<matplotlib.lines.Line2D at 0x1077bb8d0>]"
|
||
]
|
||
},
|
||
"execution_count": 27,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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CINKuBx4I+/7vtlvsJOmz006w115ha2NpnwqASJVR90/bNA5QmjQcANOcCoBIGxob4fbb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\nz5CEAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x107817b38>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import time\n",
|
||
"\n",
|
||
"tol = 0.1\n",
|
||
"tols = []\n",
|
||
"times = []\n",
|
||
"for i in range(10):\n",
|
||
" svm_clf = SVC(kernel=\"poly\", gamma=3, C=10, tol=tol, verbose=1)\n",
|
||
" t1 = time.time()\n",
|
||
" svm_clf.fit(X, y)\n",
|
||
" t2 = time.time()\n",
|
||
" times.append(t2-t1)\n",
|
||
" tols.append(tol)\n",
|
||
" print(i, tol, t2-t1)\n",
|
||
" tol /= 10\n",
|
||
"plt.semilogx(tols, times)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Identical linear classifiers"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 3,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"SGDClassifier(alpha=0.002): [ 0.044] [[ 0.79840906 -1.48586286]]\n",
|
||
"SVC: [ 0.04569242] [[ 0.79788013 -1.48716383]]\n",
|
||
"LinearSVC: [ 0.0455673] [[ 0.79762992 -1.48668778]]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.svm import SVC, LinearSVC\n",
|
||
"from sklearn.linear_model import SGDClassifier\n",
|
||
"from sklearn.datasets import make_moons\n",
|
||
"from sklearn.preprocessing import StandardScaler\n",
|
||
"\n",
|
||
"X, y = make_moons(n_samples=100, noise=0.15, random_state=42)\n",
|
||
"\n",
|
||
"C = 5\n",
|
||
"alpha = 1 / (C * len(X))\n",
|
||
"\n",
|
||
"sgd_clf = SGDClassifier(loss=\"hinge\", learning_rate=\"constant\", eta0=0.001, alpha=alpha, n_iter=100000, random_state=42)\n",
|
||
"svm_clf = SVC(kernel=\"linear\", C=C)\n",
|
||
"lin_clf = LinearSVC(loss=\"hinge\", C=C)\n",
|
||
"\n",
|
||
"X_scaled = StandardScaler().fit_transform(X)\n",
|
||
"sgd_clf.fit(X_scaled, y)\n",
|
||
"svm_clf.fit(X_scaled, y)\n",
|
||
"lin_clf.fit(X_scaled, y)\n",
|
||
"\n",
|
||
"print(\"SGDClassifier(alpha={}): \".format(sgd_clf1.alpha), sgd_clf.intercept_, sgd_clf.coef_)\n",
|
||
"print(\"SVC: \", svm_clf.intercept_, svm_clf.coef_)\n",
|
||
"print(\"LinearSVC: \", lin_clf.intercept_, lin_clf.coef_)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Linear SVM classifier implementation using Batch Gradient Descent"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 29,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"# Training set\n",
|
||
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
|
||
"y = (iris[\"target\"] == 2).astype(np.float64).reshape(-1, 1) # Iris-Virginica"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 30,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"array([[ 1.],\n",
|
||
" [ 0.]])"
|
||
]
|
||
},
|
||
"execution_count": 30,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.base import BaseEstimator\n",
|
||
"\n",
|
||
"class MyLinearSVC(BaseEstimator):\n",
|
||
" def __init__(self, C=1, eta0=1, eta_d=10000, n_epochs=1000, random_state=None):\n",
|
||
" self.C = C\n",
|
||
" self.eta0 = eta0\n",
|
||
" self.n_epochs = n_epochs\n",
|
||
" self.random_state = random_state\n",
|
||
" self.eta_d = eta_d\n",
|
||
"\n",
|
||
" def eta(self, epoch):\n",
|
||
" return self.eta0 / (epoch + self.eta_d)\n",
|
||
" \n",
|
||
" def fit(self, X, y):\n",
|
||
" # Random initialization\n",
|
||
" if self.random_state:\n",
|
||
" rnd.seed(self.random_state)\n",
|
||
" w = rnd.randn(X.shape[1], 1) # n feature weights\n",
|
||
" b = 0\n",
|
||
"\n",
|
||
" m = len(X)\n",
|
||
" t = y * 2 - 1 # -1 if t==0, +1 if t==1\n",
|
||
" X_t = X * t\n",
|
||
" self.Js=[]\n",
|
||
"\n",
|
||
" # Training\n",
|
||
" for epoch in range(self.n_epochs):\n",
|
||
" support_vectors_idx = (X_t.dot(w) + t * b < 1).ravel()\n",
|
||
" X_t_sv = X_t[support_vectors_idx]\n",
|
||
" t_sv = t[support_vectors_idx]\n",
|
||
"\n",
|
||
" J = 1/2 * np.sum(w * w) + self.C * (np.sum(1 - X_t_sv.dot(w)) - b * np.sum(t_sv))\n",
|
||
" self.Js.append(J)\n",
|
||
"\n",
|
||
" w_gradient_vector = w - self.C * np.sum(X_t_sv, axis=0).reshape(-1, 1)\n",
|
||
" b_derivative = -C * np.sum(t_sv)\n",
|
||
" \n",
|
||
" w = w - self.eta(epoch) * w_gradient_vector\n",
|
||
" b = b - self.eta(epoch) * b_derivative\n",
|
||
" \n",
|
||
"\n",
|
||
" self.intercept_ = np.array([b])\n",
|
||
" self.coef_ = np.array([w])\n",
|
||
" support_vectors_idx = (X_t.dot(w) + b < 1).ravel()\n",
|
||
" self.support_vectors_ = X[support_vectors_idx]\n",
|
||
" return self\n",
|
||
"\n",
|
||
" def decision_function(self, X):\n",
|
||
" return X.dot(self.coef_[0]) + self.intercept_[0]\n",
|
||
"\n",
|
||
" def predict(self, X):\n",
|
||
" return (self.decision_function(X) >= 0).astype(np.float64)\n",
|
||
"\n",
|
||
"C=2\n",
|
||
"svm_clf = MyLinearSVC(C=C, eta0 = 10, eta_d = 1000, n_epochs=60000, random_state=2)\n",
|
||
"svm_clf.fit(X, y)\n",
|
||
"svm_clf.predict(np.array([[5, 2], [4, 1]]))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 31,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"[0, 60000, 0, 100]"
|
||
]
|
||
},
|
||
"execution_count": 31,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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fiYjXdfWviYjNEbEnIu6MiBWzPaYkaW61cWYxBmwFfjEzlwPvA74UESsi4mTgNuBq4CTg\nXuDWFo4pSZpDkZnt7zRiEzABnAJcmpnn1+2LgR3A6sx8qOc12Y9aJGmURQSZGf0+TutrFhFxGnAm\n8CCwCtjU6cvMfcDDdbskaUi0GhYRMQbcDPxZfeawFHiy52m7gBPaPK4kqb/G2tpRRARVUDwN/Fbd\nvAdY1vPU5cDu6fYxMTHxk+3x8XHGx8fbKk+SRsLk5CSTk5NzftzW1iwi4jPACuD1mflM3XY5B69Z\nLAEewzULSWrFUK1ZRMSngX8OvLETFLUvA6si4sKIWAhcA9zXGxSSpLLN+syift/ED4D9wPN1cwJv\nz8wvRsSrgU9RnXV8G7gsM7dOsx/PLCTpCM3VmUVfLp09GoaFJB25oZqGkiSNNsNCktTIsJAkNTIs\nJEmNDAtJUiPDQpLUyLCQJDUyLCRJjQwLSVIjw0KS1MiwkCQ1MiwkSY0MC0lSI8NCktTIsJAkNTIs\nJEmNDAtJUiPDQpLUyLCQJDUyLCRJjQwLSVIjw0KS1MiwkCQ1MiwkSY0MC0lSI8NCktTIsJAkNTIs\nJEmNDAtJUiPDQpLUyLCQJDUyLCRJjQwLSVIjw0KS1KjvYRERJ0bElyNiT0R8PyIu7vcxJUntGpuD\nY9wI7AdeDPxL4H9GxH2ZuXkOji1JakFfzywiYjGwFnhvZj6Vmd8Evgr8+34et0STk5ODLqGvRnl8\nozw2cHw6PP2ehloJPJuZf9/VtglY1efjFmfU/8GO8vhGeWzg+HR4+h0WS4FdPW27gBP6fFxJUov6\nHRZ7gGU9bcuB3X0+riSpRZGZ/dt5tWaxE1jVmYqKiA3AI5n5n3ue279CJGmEZWb0+xh9DQuAiPgC\nkMDlVFdD/TnwSq+GkqThMRdvyrsSWAxsB24GrjAoJGm49P3MQpI0/Py4D0lSo4GHRekfBxIRV0bE\nPRGxPyI+09O3JiI217XfGRErevo/EhE7IuKxiLi+p++lEXFXROyNiL+NiDU9/b8WET+IiN0RcXtE\nvKgPY1sQEX9cH+fJiPhORLxuVMZXH+dzEfFoPb6/j4irR2l8Xcc7MyKeqi8gGZnxRcRkPa5d9bE2\nd/UN/fjqY62ra9gTEVsi4rwix5eZA70BX6xvxwPnAU8AZw26rq763gy8EfgU8Jmu9pPrWtcCC4D/\nAvyfrv63A5uBf1zfHgR+o6v/W8BHgYX1Ph4HTq77VlG9H+U8qvWezwNf7MPYFgPvB/5J/fiX6+Ou\nGIXx1cd6ObCo3l4J/Ah47aiMr6uevwL+BthQPz5lFMYH/C/g16dpH4nvH/Aa4PvAv6ofd+otbnx9\n+8d7mF+oxcDTwBldbZ8FrhtkXTPUup6Dw+Jy4Bs9Y9kHrKwffxP4j139vw58q95eCTwFLOnq/5vO\nNxv4EHBzV9/L6q/TkjbHNMM4NwEXjuL4gH8G/D+qq/JGZnzAOuAWquDvhMVIjI8qLN42TfuojO+b\nTB+GxY1v0NNQw/xxIKuoagUgM/cBDzNV+0H9HDyulwPfy8y9M/T37vt7VN/MlS3W/wIRcRpwJtVf\nKSMzvoj4VETsBR4APpSZ35mmhqEcX0QsA64FrgK6r7UfifHVPhwR2yPif0fEBTPUMHTji4h5wLnA\nqfX009aIuCEiFk1Tw8DHN+iwGOaPA1kKPNnT1l17b/+uuu1oXtvb37qIGKO6tPnPMvOho6ix2PFl\n5pX1MV8DfDAifv4oaix1fB8AbsrMbT3tozK+d1H95Xs6cBNwR0T806OoscTxnQYcB1xENSW0muqs\n971HUWPfxzfosBjmjwNpqr23f3nddjSv7e1vVUQEVVA8DfzWUdZY7PgAsjIJ/A/g4qOosbjxRcRq\n4JeAT0zTPfTjA8jMezJzb2Y+m5kbqKZffvkoaixxfE/V9zdk5vbM3Al8DHh9fayixjfosHgIGIuI\nM7razqGaBindg1R/CQAQEUuAM6imOjr953Q9fzVT43oQeFn9mo5zevp/8tr663Mc1derH/6EakF0\nbWY+31XDqIyv2xiwl9EY3wXAS4GtEfEo8A7goojYWI9j2Md3KEP//cvMJ4BHepvrW3nja3vB5igW\neL5AtRq/GDifatW+pKuh5gOLgOuADVRXF8yn+uX6ONVi8EKqqxW+1fW6t9fflJ+iOoV+ELi8q/9b\n9Ws6VyvsZOpqhZdTXQlxHrCk/vp8vk/j+3Rdy+Ke9qEfH9V/uPWW+hjzqK6CeoJqnngUxrcIOLXr\n9lHgS8BJIzK+5cC/Yepn7hKqv37PGIXx1ce6Fvh2/W/1RODrwESJ42t98EfxxToR+DLVqdEPgLcM\nuqae+q4BDgDPd93eX/e9murytb3AXcCKntdeD/wY2AF8uKdvBdWVHvvqfbyqp38d8H/rH47bgRf1\nYWwr6rHtq4+zm2ru8uIRGd8pwGT9g/I4cDfwhq7+oR7fDP9WN4zK+Orv391U8+s7qX4BvnpUxlcf\nZ4zqsvzHgW3Ax4EFJY7Pj/uQJDUa9JqFJGkIGBaSpEaGhSSpkWEhSWpkWEiSGhkWkqRGhoUkqZFh\nIUlqZFhIkhr9f5AfsrEompr6AAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x105bcec50>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.plot(range(svm_clf.n_epochs), svm_clf.Js)\n",
|
||
"plt.axis([0, svm_clf.n_epochs, 0, 100])"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 32,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"[-15.56780998] [[[ 2.28129013]\n",
|
||
" [ 2.71597487]]]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"print(svm_clf.intercept_, svm_clf.coef_)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 33,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"[-15.51721253] [[ 2.27128546 2.71287145]]\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"svm_clf2 = SVC(kernel=\"linear\", C=C)\n",
|
||
"svm_clf2.fit(X, y.ravel())\n",
|
||
"print(svm_clf2.intercept_, svm_clf2.coef_)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 34,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"[4, 6, 0.8, 2.8]"
|
||
]
|
||
},
|
||
"execution_count": 34,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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mTKSU1K1Ul9mTZ2sY2YuljPvgqoMWOfOtcvbznj17xs2bN3F3d9c6FEWxSipnq/LyFm3c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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x1066b8438>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"yr = y.ravel()\n",
|
||
"plt.figure(figsize=(12,3.2))\n",
|
||
"plt.subplot(121)\n",
|
||
"plt.plot(X[:, 0][yr==1], X[:, 1][yr==1], \"g^\", label=\"Iris-Virginica\")\n",
|
||
"plt.plot(X[:, 0][yr==0], X[:, 1][yr==0], \"bs\", label=\"Not Iris-Virginica\")\n",
|
||
"plot_svc_decision_boundary(svm_clf, 4, 6)\n",
|
||
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
||
"plt.ylabel(\"Petal width\", fontsize=14)\n",
|
||
"plt.title(\"MyLinearSVC\", fontsize=14)\n",
|
||
"plt.axis([4, 6, 0.8, 2.8])\n",
|
||
"\n",
|
||
"plt.subplot(122)\n",
|
||
"plt.plot(X[:, 0][yr==1], X[:, 1][yr==1], \"g^\")\n",
|
||
"plt.plot(X[:, 0][yr==0], X[:, 1][yr==0], \"bs\")\n",
|
||
"plot_svc_decision_boundary(svm_clf2, 4, 6)\n",
|
||
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
||
"plt.title(\"SVC\", fontsize=14)\n",
|
||
"plt.axis([4, 6, 0.8, 2.8])\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 35,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"[-14.062485 2.24179316 1.79750198]\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"[4, 6, 0.8, 2.8]"
|
||
]
|
||
},
|
||
"execution_count": 35,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": 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zaNiwIXPmzMnTMesyjya6KEl8fDxNOzTN03/vSqA6dIURQjB69GjOnj1L9erVuXbtGo0a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\nRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10600b630>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from sklearn.linear_model import SGDClassifier\n",
|
||
"\n",
|
||
"sgd_clf = SGDClassifier(loss=\"hinge\", alpha = 0.017, n_iter = 50, random_state=42)\n",
|
||
"sgd_clf.fit(X, y.ravel())\n",
|
||
"\n",
|
||
"m = len(X)\n",
|
||
"t = y * 2 - 1 # -1 if t==0, +1 if t==1\n",
|
||
"X_b = np.c_[np.ones((m, 1)), X] # Add bias input x0=1\n",
|
||
"X_b_t = X_b * t\n",
|
||
"sgd_theta = np.r_[sgd_clf.intercept_[0], sgd_clf.coef_[0]]\n",
|
||
"print(sgd_theta)\n",
|
||
"support_vectors_idx = (X_b_t.dot(sgd_theta) < 1).ravel()\n",
|
||
"sgd_clf.support_vectors_ = X[support_vectors_idx]\n",
|
||
"sgd_clf.C = C\n",
|
||
"\n",
|
||
"plt.figure(figsize=(5.5,3.2))\n",
|
||
"plt.plot(X[:, 0][yr==1], X[:, 1][yr==1], \"g^\")\n",
|
||
"plt.plot(X[:, 0][yr==0], X[:, 1][yr==0], \"bs\")\n",
|
||
"plot_svc_decision_boundary(sgd_clf, 4, 6)\n",
|
||
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
||
"plt.ylabel(\"Petal width\", fontsize=14)\n",
|
||
"plt.title(\"SGDClassifier\", fontsize=14)\n",
|
||
"plt.axis([4, 6, 0.8, 2.8])\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Exercise solutions"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"**Coming soon**"
|
||
]
|
||
},
|
||
{
|
||
"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"
|
||
},
|
||
"nav_menu": {},
|
||
"toc": {
|
||
"navigate_menu": true,
|
||
"number_sections": true,
|
||
"sideBar": true,
|
||
"threshold": 6,
|
||
"toc_cell": false,
|
||
"toc_section_display": "block",
|
||
"toc_window_display": false
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 0
|
||
}
|