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@georgehc
Last active October 30, 2018 01:25
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95-865 t-SNE demo
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"__Note by George Chen (CMU 95-865 Fall 2017 instructor):__\n",
"This handwritten digit demo is *heavily* based on an\n",
"existing article but for which I largely and intentionally\n",
"delayed introduction of *label information* in the data\n",
"(i.e., the \"ground truth\" part of the data that says which\n",
"digit 0, 1, ..., 9 that each image corresponds to) since\n",
"in practice when we first get unstructured data, we often\n",
"do not have/know what the labels should be! The original\n",
"article is here (one of the first things they do is read\n",
"in the labels; also I removed the dependence on Pandas and\n",
"`ggplot` as it's not needed here):\n",
"https://medium.com/@luckylwk/visualising-high-dimensional-datasets-using-pca-and-t-sne-in-python-8ef87e7915b"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/georgehc/anaconda3/lib/python3.7/site-packages/sklearn/utils/deprecation.py:77: DeprecationWarning: Function fetch_mldata is deprecated; fetch_mldata was deprecated in version 0.20 and will be removed in version 0.22\n",
" warnings.warn(msg, category=DeprecationWarning)\n",
"/Users/georgehc/anaconda3/lib/python3.7/site-packages/sklearn/utils/deprecation.py:77: DeprecationWarning: Function mldata_filename is deprecated; mldata_filename was deprecated in version 0.20 and will be removed in version 0.22\n",
" warnings.warn(msg, category=DeprecationWarning)\n"
]
}
],
"source": [
"import numpy as np\n",
"from sklearn.datasets import fetch_mldata\n",
"\n",
"mnist = fetch_mldata(\"MNIST original\")\n",
"feature_vectors = mnist.data / 255.0\n",
"\n",
"# we will work with a subsample of the data\n",
"np.random.seed(95865)\n",
"random_sample = np.random.permutation(len(feature_vectors))[:10000] # 10000 random indices"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib\n",
"matplotlib.style.use('ggplot') # prettier plots"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1a355bc400>"
]
},
"execution_count": 3,
"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(len(feature_vectors))].reshape(28, 28), cmap='gray')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"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": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x1a35bff6a0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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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": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.09661835, 0.07152862])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.explained_variance_ratio_"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[t-SNE] Computing 121 nearest neighbors...\n",
"[t-SNE] Indexed 10000 samples in 0.573s...\n",
"[t-SNE] Computed neighbors for 10000 samples in 119.884s...\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: 2.126201\n",
"[t-SNE] KL divergence after 250 iterations with early exaggeration: 86.169151\n",
"[t-SNE] KL divergence after 5000 iterations: 1.718413\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": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x1a42692438>"
]
},
"execution_count": 8,
"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": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x1a399613c8>"
]
},
"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": {
"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], c=[str(i) for i in mnist.target[random_sample]], cmap='Set3')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x1a39825358>"
]
},
"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": [
"# 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 mnist.target[random_sample]], cmap='Set3')"
]
}
],
"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": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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