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@inaz2
Last active January 24, 2017 12:14
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import datasets\n",
"from sklearn.manifold import TSNE"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"digits = datasets.load_digits()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1797, 64)\n"
]
}
],
"source": [
"print digits.data.shape"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1797,)\n"
]
}
],
"source": [
"print digits.target.shape"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X_reduced = TSNE(n_components=2, random_state=0).fit_transform(digits.data)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1797, 2)\n"
]
}
],
"source": [
"print X_reduced.shape"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7ff21173ee90>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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ErgnwpHu/DCAdOAfYWbBgISdORAA/ApvJmePNRFvOVvR8ciAQia6eZUVbyPuB8kAx4ABQ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vc9e/bw22+/MXnyVCxmg+gYaFY/Y9trV1VCfaa6ttdi1vbHxELb3nD4mEZajxgL329RkY8L+1Vt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\ny9c5dfosb7/99pOgqscTmXYnP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GvRItk/3k8//SS+AQFiy5pT6D5EeKKXWLx8JEfuPDJr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MSu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\nwIZhGIYRAP8PYxVxJYFpq/cAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7ff21191f210>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=digits.target)\n",
"plt.colorbar()"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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