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@ppkn
Created June 6, 2015 02:58
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SVM demo (stolen generously from http://rahular.com/digit-recognition/)
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.figure.Figure at 0x3920ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%pylab inline\n",
"import pylab as pl\n",
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"pl.rcParams['figure.figsize'] = 10, 7.5\n",
"pl.rcParams['axes.grid'] = True\n",
"pl.gray()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#SVM\n",
"##Support Vector Machines"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<hr>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, we have to load the dataset"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.datasets import load_digits\n",
"digits = load_digits()\n",
"X, y = digits.data, digits.target"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This shows a random example from that dataset"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(1797L, 64L)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X.shape"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x174488d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_gallery(data, labels, shape, interpolation='nearest'):\n",
" for i in range(data.shape[0]):\n",
" pl.subplot(1, data.shape[0], (i + 1))\n",
" pl.imshow(data[i].reshape(shape), interpolation=interpolation)\n",
" pl.title(labels[i])\n",
" pl.xticks(()), plt.yticks(())\n",
" \n",
"subsample = np.random.permutation(X.shape[0])[:5]\n",
"images = X[subsample]\n",
"labels = ['True class: %d' % l for l in y[subsample]]\n",
"plot_gallery(images, labels, shape=(8, 8))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Visualizing the dataset in 2d using PCA"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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1K1yfDC0FcLAIPrcKzm2DfYvg2UlAdayIhmC8f32aO/vnRzWTxwzOooECzmDP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\nloiIiMgUKMkSERERmYL/D9A5ntQQF4P6AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1753ca90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.decomposition import RandomizedPCA\n",
"\n",
"pca = RandomizedPCA(n_components=2)\n",
"X_pca = pca.fit_transform(X)\n",
"\n",
"from itertools import cycle\n",
"\n",
"colors = ['b', 'g', 'r', 'c', 'm', 'y', 'k']\n",
"markers = ['+', 'o', '^', 'v', '<', '>', 'D', 'h', 's']\n",
"for i, c, m in zip(np.unique(y), cycle(colors), cycle(markers)):\n",
" pl.scatter(X_pca[y == i, 0], X_pca[y == i, 1],\n",
" c=c, marker=m, label=i, alpha=0.5)\n",
"_ = pl.legend(loc='best')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's train a model"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1.0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.svm import SVC\n",
"SVC().fit(X, y).score(X, y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We just predicted the model perfectly! \\\\(^-^)/ \n",
"..."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's try to set up training and test data"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.cross_validation import train_test_split\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" X, y, test_size=0.95, random_state=42)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1.0"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"svc = SVC().fit(X_train, y_train)\n",
"svc.score(X_train, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.48666666666666669"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"test_score = svc.score(X_test, y_test)\n",
"test_score"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.cross_validation import StratifiedShuffleSplit\n",
"from sklearn.grid_search import GridSearchCV\n",
"\n",
"C_range = np.logspace(-2, 10, 13)\n",
"gamma_range = np.logspace(-9, 3, 13)\n",
"kernel_range = ['linear', 'poly', 'sigmoid', 'rbf', 'precomputed']\n",
"param_grid = dict(gamma=gamma_range, C=C_range, kernel=kernel_range)\n",
"cv = StratifiedShuffleSplit(y, n_iter=5, test_size=0.25, random_state=0)\n",
"grid = GridSearchCV(SVC(), param_grid=param_grid, cv=cv)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"grid.fit(X, y)\n",
"grid.best_params_"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.0\n",
"0.843676814988\n"
]
}
],
"source": [
"svc_2 = SVC(kernel='rbf', C=1, gamma=0.001).fit(X_train, y_train)\n",
"print svc_2.score(X_train, y_train)\n",
"print svc_2.score(X_test, y_test)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.98980044345897999"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"grid.best_score_"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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