Skip to content

Instantly share code, notes, and snippets.

@jojonki
Created April 17, 2018 20:34
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save jojonki/d0efbb87eef7aac4eca8d8317fd61738 to your computer and use it in GitHub Desktop.
Save jojonki/d0efbb87eef7aac4eca8d8317fd61738 to your computer and use it in GitHub Desktop.
Comparison of MNIST visualization between PCA and t-SNE
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1797, 64)\n",
"(1797,)\n",
"(1797, 2)\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f73e6384908>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAV8AAAD8CAYAAADQSqd1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f73e9148518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# ref http://inaz2.hatenablog.com/entry/2017/01/24/211331\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import datasets\n",
"from sklearn.decomposition import PCA\n",
"\n",
"digits = datasets.load_digits()\n",
"\n",
"print (digits.data.shape)\n",
"# (1797, 64)\n",
"\n",
"print (digits.target.shape)\n",
"# (1797,)\n",
"\n",
"X_reduced = PCA(n_components=2).fit_transform(digits.data)\n",
"\n",
"print (X_reduced.shape)\n",
"# (1797, 2)\n",
"\n",
"plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=digits.target)\n",
"plt.colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1797, 64)\n",
"(1797,)\n",
"(1797, 2)\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f73e628a940>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAV8AAAD8CAYAAADQSqd1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f73e61772b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import datasets\n",
"from sklearn.manifold import TSNE\n",
"\n",
"digits = datasets.load_digits()\n",
"\n",
"print (digits.data.shape)\n",
"# (1797, 64)\n",
"\n",
"print (digits.target.shape)\n",
"# (1797,)\n",
"\n",
"X_reduced = TSNE(n_components=2, random_state=0).fit_transform(digits.data)\n",
"\n",
"print (X_reduced.shape)\n",
"# (1797, 2)\n",
"\n",
"plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=digits.target)\n",
"plt.colorbar()"
]
},
{
"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": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment