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@georgehc
Created November 5, 2019 05:42
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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]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(60000, 28, 28)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"images.shape"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"num_images = images.shape[0]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"flattened_images = images.reshape(num_images, -1) # flattens out each training image"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(60000, 784)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"flattened_images.shape"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"feature_vectors = flattened_images.astype(np.float32) / 255 # rescale to be between 0 and 1"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# we will work with a subsample of the data\n",
"np.random.seed(0)\n",
"random_sample = np.random.permutation(num_images)[:10000] # 10000 random indices"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 3048, 19563, 58303, ..., 15241, 26970, 26146])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"random_sample"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0xb2eedf090>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# you can re-run this to see random digits\n",
"plt.imshow(feature_vectors[np.random.randint(num_images)].reshape(28, 28),\n",
" cmap='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dimensionality reduction with PCA"
]
},
{
"cell_type": "code",
"execution_count": 11,
"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": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.09845046, 0.07117988], dtype=float32)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.explained_variance_ratio_"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x1a41ceb0d0>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(feature_vectors_pca2d[:, 0], feature_vectors_pca2d[:, 1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dimensionality reduction with t-SNE"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[t-SNE] Computing 121 nearest neighbors...\n",
"[t-SNE] Indexed 10000 samples in 0.635s...\n",
"[t-SNE] Computed neighbors for 10000 samples in 127.203s...\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: 85.654099\n",
"[t-SNE] KL divergence after 5000 iterations: 1.707905\n"
]
}
],
"source": [
"from sklearn.manifold import TSNE\n",
"\n",
"tsne = TSNE(n_components=2, verbose=1, perplexity=40, n_iter=5000, random_state=0)\n",
"feature_vectors_tsne2d = tsne.fit_transform(feature_vectors[random_sample])"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10fa5a5d0>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(feature_vectors_tsne2d[:, 0], feature_vectors_tsne2d[:, 1])"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"labels = mnist.load_data()[0][1]"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x10fa5a610>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"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],\n",
" c=[str(i) for i in labels[random_sample]], cmap='Spectral')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x1a4e6f2390>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"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],\n",
" 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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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