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{
"cells": [
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"\n",
"plt.rcParams['figure.figsize'] = (10.0, 8.0)\n",
"plt.rcParams['font.size'] = 30\n",
"\n",
"\n",
"colors = ['#66c2a5','#fc8d62','#8da0cb','#e78ac3','#a6d854','#ffd92f']"
]
},
{
"cell_type": "code",
"execution_count": 130,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Done SAGAClassifier\n",
"Done SAGClassifier\n",
"Done SVRGClassifier\n"
]
}
],
"source": [
"import numpy as np\n",
"from scipy import sparse\n",
"from sklearn.preprocessing import LabelBinarizer\n",
"\n",
"from lightning.impl.sag import SAGAClassifier, SAGClassifier, get_auto_step_size\n",
"from lightning.impl.svrg import SVRGClassifier\n",
"from lightning.impl.sgd_fast import Log\n",
"\n",
"# from sklearn.datasets import fetch_20newsgroups_vectorized\n",
"# data = fetch_20newsgroups_vectorized()\n",
"# X = data.data\n",
"# y = data.target.copy()\n",
"# # binarize\n",
"# y[data.target < data.target.mean()] = -1\n",
"# y[data.target >= data.target.mean()] = -1\n",
"\n",
"\n",
"from sklearn.datasets import load_svmlight_file\n",
"X, y = load_svmlight_file('/Users/fabianpedregosa/data/async_saga/rcv1/rcv1_test.binary')\n",
"\n",
"alpha = 1.0 / X.shape[0]\n",
"step_size = get_auto_step_size(X, alpha, 'log', None) / 3\n",
"max_iter = 10\n",
"# step sizes are choosen as the ones that yield the fastest decrease\n",
"\n",
"from datetime import datetime\n",
"coefs_saga = [np.zeros(X.shape[1])]\n",
"start = datetime.now()\n",
"times_saga = [0.]\n",
"logloss = Log()\n",
"def callback(clf):\n",
" coefs_saga.append(\n",
" clf.coef_scale_[0] * clf.coef_.ravel().copy())\n",
" times_saga.append((datetime.now() - start).total_seconds())\n",
"\n",
"def compute_loss(coefs):\n",
" loss = 0.\n",
" for i in range(X.shape[0]):\n",
" pred = X[i].dot(coefs)\n",
" loss += logloss.loss(pred, y[i])\n",
" return loss / X.shape[0] + 0.5 * alpha * coefs.dot(coefs)\n",
"\n",
"clf_saga = SAGAClassifier(\n",
" loss='log', callback=callback, eta=step_size, max_iter=max_iter, tol=1e-132,\n",
" alpha=alpha, random_state=0)\n",
"clf_saga.fit(X, y)\n",
"loss_saga = np.array([compute_loss(w) for w in coefs_saga])\n",
"print('Done SAGAClassifier')\n",
"\n",
"\n",
"# same thing for SAG\n",
"\n",
"coefs_sag = [np.zeros(X.shape[1])]\n",
"start = datetime.now()\n",
"times_sag = [0.]\n",
"def callback_sag(clf):\n",
" coefs_sag.append(\n",
" clf.coef_scale_[0] * clf.coef_.ravel().copy())\n",
" times_sag.append((datetime.now() - start).total_seconds())\n",
"\n",
"clf_sag = SAGClassifier(\n",
" loss='log', callback=callback_sag, eta=step_size, max_iter=max_iter, tol=1e-132,\n",
" alpha=alpha, random_state=0)\n",
"clf_sag.fit(X, y)\n",
"loss_sag = np.array([compute_loss(w) for w in coefs_sag])\n",
"print('Done SAGClassifier')\n",
"\n",
"\n",
"# same for SVRG\n",
"\n",
"coefs_svrg = [np.zeros(X.shape[1])]\n",
"start = datetime.now()\n",
"times_svrg = [0.]\n",
"def callback_svrg(clf):\n",
" coefs_svrg.append(\n",
" clf.coef_scale_[0] * clf.coef_.ravel().copy())\n",
" times_svrg.append((datetime.now() - start).total_seconds())\n",
"\n",
"clf_svrg = SVRGClassifier(\n",
" loss='log', callback=callback_svrg, eta=step_size, max_iter=max_iter, tol=1e-132,\n",
" alpha=alpha, random_state=0)\n",
"clf_svrg.fit(X, y)\n",
"loss_svrg = np.array([compute_loss(w) for w in coefs_svrg])\n",
"print('Done SVRGClassifier')\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 138,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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qqepuEXkTuAvIAK4D/NavEpGr8W/9dBXvX+qz72VVTbo2dl3yLgR5hOtp3bTp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RGo9/5RZcRYUFVAFVXwfp7HB6p+59Tv6LHg1Fne93St94Nc+dUV5O+rYEKfdO4fMo6B8UlBaGn3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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10bbd3630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fmin_20news = 0.084731161376652264\n",
"lw=6\n",
"plt.plot(times_saga, np.array(loss_saga) - fmin_20news, color=colors[0], lw=lw, label='SAGA')\n",
"plt.plot(times_sag, np.array(loss_sag) - fmin_20news, color=colors[1], lw=lw, label='SAG')\n",
"plt.plot(times_svrg, np.array(loss_svrg) - fmin_20news, color=colors[2], lw=lw, label='SVRG')\n",
"plt.yscale('log')\n",
"plt.grid()\n",
"plt.xlim((0, 10))\n",
"plt.ylim((1e-5, None))\n",
"plt.legend()\n",
"plt.xlabel('Time (in seconds)')\n",
"plt.ylabel('Function minus optimum')\n",
"plt.gcf().subplots_adjust(left=0.15)\n",
"plt.savefig('rcv1_comparison.png')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.4.4"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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