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Last active February 2, 2019 01:05
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 94-775/95-865: Dimensionality Reduction with Images\n",
"\n",
"Author: George H. Chen (georgechen [at symbol] cmu.edu)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We start with some usual boilerplate code:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('seaborn')\n",
"import numpy as np"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Loading in a handwritten digit dataset"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Using TensorFlow backend.\n"
]
}
],
"source": [
"from keras.datasets import mnist\n",
"\n",
"images = mnist.load_data()[0][0]\n",
"\n",
"flattened_images = images.reshape(len(images), -1) # flattens out each training image\n",
"feature_vectors = flattened_images.astype(np.float32) / 255 # rescale to be between 0 and 1\n",
"\n",
"# we will work with a subsample of the data\n",
"np.random.seed(0)\n",
"random_sample = np.random.permutation(len(feature_vectors))[:10000] # 10000 random indices"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(60000, 784)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"feature_vectors.shape"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x12a07c4e0>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAPkAAAD3CAYAAADfRfLgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4wLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvqOYd8AAADWlJREFUeJzt3V2IXOd9x/HvmsQxATmYXoRYrPBFyv9mF1MrxCuUtKJxKE4uHIxebuwLixAafGFbcp3gFwolN26llZsap+DYGNqGSqsgSC6c+KKt4yQrB4xKdon7OHYD65jkxuCXppBU8fRCI2VmNHtm5+yZmeO/vh8QzHnOnpm/jvan8/LMeZ65TqeDpLyumnUBkibLkEvJGXIpOUMuJWfIpew6nc7E/wCd3j9ra2udwba2/LE2a3u/1rVZ/uam0YU2NzfX9yGdToe5ubmJf24d1laPtY2v6bo6nc7QN/tAnTeLiKuAJ4Abgd8CXyylvFq/PEmTUvea/AvANaWUPcBXgePNlSSpSbWO5MCngO8BlFLORsQnqn54bW2NhYWFvrY2f9PO2uqxtvFNo666Ib8WeLtn+fcR8YFSyvlhP7y4uNi33NZrJLC2uqxtfBO4Jh/aXvd0/R1gR+/7bBZwSbNVN+Q/Aj4HEBFLwFpjFUlqVN3T9TPAZyPix8AccFdzJUlqkv3kA6ytHmsb37T6yf1aq5ScIZeSM+RScoZcSs6QS8kZcik5Qy4lZ8il5Ay5lJwhl5Iz5FJyhlxKzpBLyRlyKTlDLiVnyKXkDLmUnCGXkjPkUnKGXErOkEvJGXIpOUMuJWfIpeQMuZScIZeSM+RScoZcSs6QS8nVnbr4ijE/P7/puv3791duu2fPnm199tLS0mVtGxsbl16fPXt2W+9f5fXXX69cv7Kycllbb72TrE3jqR3yiDgHvN1d/EUpxTnKpRaqFfKIuAaglLKv0WokNa7ukfxG4MMR8Vz3PR4spXh+JrXQXKfTGXujiFgEloBvAn8MPAtEKeX8sJ9fX1/vLCwsbKdOSaPNDWuseyR/BXi1lNIBXomIN4GPAUPv1iwuLvYtdzod5uaG1jNzg7W16cbb/Px83w2xNt14W11d7fv7tunGW1t/35qua7MDdt0utMPAcYCIuB64FvhVzfeSNEF1j+RPAc9ExA+BDnB4s1N1SbNV65p87A+Zm+v7kLaePsHltd13332b/uzy8vI0Sqpl1Ol21WXIpA3rY+91+vTpyvWnTp0a6/Pa+vs2gdP1oW/mN96k5Ay5lJwhl5Iz5FJyhlxKzpBLydmFNmCc2kZ1Q43qxhrXNPfbwYMHK9fv3Lmzb3l5eZkjR45cWq7qetxu992uXbsq1w/u97b+vtmFJqkRhlxKzpBLyRlyKTlDLiVnyKXkDLmUnP3kA6ytnnFqO378eOX63v72YQ4dOlS5fvBR1LbuN/vJJTXCkEvJGXIpOUMuJWfIpeQMuZScIZeSc+piTd0sh4O+Enkkl5Iz5FJyhlxKzpBLyRlyKTlDLiVnyKXk7CfXRCwtLdVaB6PHq19dXa1V05VqSyGPiJuBR0sp+yLi48AzQAdYB+4upbw3uRIlbcfI0/WIeAD4JnBNt2kZeLiU8mlgDrhtcuVJ2q6tXJO/Btzes7wbeL77+lnglqaLktSckafrpZRvR8QNPU1zpZSLY7a9C3xk1Husra2xsLDQ1zaNseXqsrZ6plXbxsbG2Nu0db9No646N956r793AG+N2mBxcbFvua0D64G11TVYW9XNtcGBFse1d+/eyvVX8ISHQ9vrdKGdi4h93de3Ai/UrEnSFNQ5kh8FnoyIq4GXgdPNliSpSY67PsDatmZw7PQjR46wvLzct7yZlZWVyvc+evRo5fpx531v037r5bjrkhphyKXkDLmUnCGXkjPkUnKGXErOLrQBWWob9TjnqOmBDxw4sOW6huntThs0qousaW39N7ULTVIjDLmUnCGXkjPkUnKGXErOkEvJGXIpOYdkfh8bfNyz16h+8FGq+rkBHnvssb7ljY0Ndu3adWl53MdBNTkeyaXkDLmUnCGXkjPkUnKGXErOkEvJGXIpOfvJW2xYP3hv23b6wkcNizzYDz5oWD+4fePt5JFcSs6QS8kZcik5Qy4lZ8il5Ay5lJwhl5Kzn7zFXnzxxcq2qr7uUeOujxpXfdT6YX3iGxsbW6qtTh+86ttSyCPiZuDRUsq+iLgJ+C7w8+7qb5RSTk6qQEnbMzLkEfEAcCfwm27TTcByKWXzYUkktcZWrslfA27vWd4NfD4ifhART0XEjsmUJqkJW5oLLSJuAP61lLIUEXcBPy2lvBQRDwHXlVLur9p+fX29s7Cw0EjBkjY1dC60OjfezpRS3rr4GviHURssLi72Lbd1AjpoV20HDx7sWz558iSHDh26tLx///5Ntx11421+fn5btQ3eHJufn+9ra9ONtzb9m/aawISHQ9vrdKF9PyI+2X39GeClukVJmrw6R/IvA49HxO+AXwNfarYkSU1yfvIB1nbBqNP9wXHZ9+zZw+rqat/yZnp/bpjeS5Jhxj2db+u/qfOTS2qEIZeSM+RScoZcSs6QS8kZcik5u9AGWFs9g7UNfluv17Fjx7b1WXv37q1cP9jF1tb9ZheapEYYcik5Qy4lZ8il5Ay5lJwhl5Iz5FJy9pMPsLZ6xqlt1Kg0vUM7DzNqyuYTJ07Urm2a7CeX1AhDLiVnyKXkDLmUnCGXkjPkUnKGXErOfvIB06yt6plruLy/eHV1tW+o47Nnz06krjqa3G+nTp3a1vaD+7Wtv2/2k0tqhCGXkjPkUnKGXErOkEvJGXIpOUMuJVdnfnJt0ajnpk+ePFm5fteuXZe1vfHGG9uqqQ1G7ZcDBw5Url9ZWWmynPQqQx4RHwSeBm4APgR8DfgZ8AzQAdaBu0sp7020Skm1jTpdvwN4s5TyaeBW4HFgGXi42zYH3DbZEiVtx6iQrwCP9CyfB3YDz3eXnwVumUBdkhqype+uR8QO4DvAk8CxUsr13fY/Bw6XUu6o2n59fb2zsLDQQLmSKgz97vrIG28RMQ+cAZ4opXwrIv62Z/UO4K1R77G4uNi33NYHBqDZ2rY7YOHgjbeNjY2+tsGJ/WZpmgM5jrrxdgU/oDK0vfJ0PSI+CjwHfKWU8nS3+VxE7Ou+vhV4oaEaJU3AqCP5g8B1wCMRcfHa/B7g6xFxNfAycHqC9b2v7dy5c9YltNK99967re1Pn/ZXbhyVIS+l3MOFUA/6s8mUI6lpfuNNSs6QS8kZcik5Qy4lZ8il5Ay5lJxDMg+YZm2jvtk1OOTygQMH+r7tdfTo0U23nfa34Qb3W9Wwytt9lHTUUNajamsLh2SW1AhDLiVnyKXkDLmUnCGXkjPkUnKGXErOIZln6P77769cf+zYscvalpaWLr2u6mcf1dc8qh991OgtvXVspZ5eR44cqVx/4sSJLb2PtsYjuZScIZeSM+RScoZcSs6QS8kZcik5Qy4l5/PkA9pU22Bf9eAMKlXjl9fp5x5n+8F++PfTs+5t4fPkkhphyKXkDLmUnCGXkjPkUnKGXErOkEvJ2U8+wNrqsbbxTaufvHLQiIj4IPA0cAPwIeBrwC+B7wI/7/7YN0opJxurVFKjRo0McwfwZinlzoj4I+Ac8DfAcinl+MSrk7Rto0K+ApzuWT4P7AYiIm7jwtH83lLKu1Vvsra2xsLCQl/bNC4T6rK2eqxtfFO5XN7Kh0TEDuA7wJNcOG3/aSnlpYh4CLiulFI5WJnX5M2wtnraWltrvrseEfPAvwP/VEr5FnCmlPJSd/UZ4E8aq1JS4ypDHhEfBZ4DvlJKebrb/P2I+GT39WeAl4ZuLKkVKk/XI+LvgUPAf/U0PwT8HfA74NfAl0op71R+iKfrjbC2etpa27RO1+0nH2Bt9Vjb+FpzTS7p/c2QS8kZcik5Qy4lZ8il5Ay5lJwhl5Iz5FJyhlxKzpBLyRlyKTlDLiVnyKXkDLmU3FQeNZU0Ox7JpeQMuZScIZeSM+RScoZcSs6QS8kZcim5UXOhNSoirgKeAG4Efgt8sZTy6jRrqBIR54C3u4u/KKXcNeN6bgYeLaXsi4iPA88AHWAduLuU8l5LaruJFsx0u8ksvD+jBfttljMETzXkwBeAa0opeyJiCTgO3DblGoaKiGsASin7ZlwKABHxAHAn8Jtu0zLwcCnlPyLiH7mw3860pLabaMdMt8Nm4f1P2rHfZjZD8LRP1z8FfA+glHIW+MSUP7/KjcCHI+K5iPi37n9Cs/QacHvP8m7g+e7rZ4Fbpl7RHwyr7fMR8YOIeKo7QeYsrACP9CxfnIW3Dftts9omvt+mHfJr+cPpMMDvI2LaZxOb+V/gGPAXwF8C/zLL2kop3wb+r6dprpRy8TvI7wIfmX5VFwyp7SfAX5VS/hT4b+CvZ1TX/5RS3u2G5TTwMC3Zb5vUNpX9Nu2QvwP0/m91VSnl/JRr2MwrwD+XUjqllFeAN4GPzbimXr3XkTuAt2ZVyBCtmel2yCy8rdlvs5oheNoh/xHwOYDu6fDalD+/ymEu3CMgIq7nwlnHr2ZaUb9zEbGv+/pW4IUZ1jKoFTPdbjILbyv22yxnCJ726egZ4LMR8WNgDpjp3esBTwHPRMQPuXAn9nCLzjIAjgJPRsTVwMtcOOVriy8Dj0fEpZluZ1THg8B1wCMRcfH69x7g6y3Yb8NqOwI8Nun95qOmUnJ+GUZKzpBLyRlyKTlDLiVnyKXkDLmUnCGXkvt/IOKuSokg+9YAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# you can re-run this to see random digits\n",
"plt.imshow(feature_vectors[np.random.randint(len(feature_vectors))].reshape(28, 28), cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dimensionality reduction with PCA"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA\n",
"\n",
"pca = PCA(n_components=2) # project data down to 2 dimensions\n",
"feature_vectors_pca2d = pca.fit_transform(feature_vectors[random_sample])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x139487630>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(feature_vectors_pca2d[:, 0], feature_vectors_pca2d[:, 1])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.09845046, 0.07117979], dtype=float32)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.explained_variance_ratio_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dimensionality reduction with t-SNE"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[t-SNE] Computing 121 nearest neighbors...\n",
"[t-SNE] Indexed 10000 samples in 1.422s...\n",
"[t-SNE] Computed neighbors for 10000 samples in 153.132s...\n",
"[t-SNE] Computed conditional probabilities for sample 1000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 2000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 3000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 4000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 5000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 6000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 7000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 8000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 9000 / 10000\n",
"[t-SNE] Computed conditional probabilities for sample 10000 / 10000\n",
"[t-SNE] Mean sigma: 2.123683\n",
"[t-SNE] KL divergence after 250 iterations with early exaggeration: 85.676910\n",
"[t-SNE] Error after 5000 iterations: 1.693003\n"
]
}
],
"source": [
"from sklearn.manifold import TSNE\n",
"\n",
"tsne = TSNE(n_components=2, verbose=1, perplexity=40, n_iter=5000)\n",
"feature_vectors_tsne2d = tsne.fit_transform(feature_vectors[random_sample])"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x13f044710>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(feature_vectors_tsne2d[:, 0], feature_vectors_tsne2d[:, 1])"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"labels = mnist.load_data()[0][1]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10c18d0f0>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# here we color each low-dimensional t-SNE point differently depending on its true known label for what digit the point corresponds to\n",
"# (in many applications we do not have this sort of label information!)\n",
"plt.scatter(feature_vectors_tsne2d[:, 0], feature_vectors_tsne2d[:, 1], c=[str(i) for i in labels[random_sample]], cmap='Spectral')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10c226ef0>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# coloring the points by true digit label, now for PCA\n",
"plt.scatter(feature_vectors_pca2d[:, 0], feature_vectors_pca2d[:, 1], c=[str(i) for i in labels[random_sample]], cmap='Spectral')"
]
}
],
"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": "3.5.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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