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@cemoody
Last active October 16, 2016 06:31
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Barnes-Hut t-SNE Demo
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Summary\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook presents the Barnes-Hut implementation of t-SNE. t-SNE is used to visualize high-dimensional data in a low dimensional space that attempts preserve the pairwise high-dimensional similarities in a low-dimensional embedding. The Barnes-Hut algorithm, which is used by astrophysicists to perform N-body simulations, allows the calculation of the t-SNE embedding in $O(N log N)$ time instead of $O(N^{2})$. This effectively allows us to learn embeddings of data sets with millions of elements instead of tens of thousands."
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Install"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To try out out the BH version of t-SNE, do the following:\n",
"\n",
"Checkout out scikit-learn\n",
"\n",
" git clone https://github.com/cemoody/scikit-learn.git\n",
"\n",
"Change to my branch\n",
"\n",
" git checkout cemoody/bhtsne\n",
"\n",
"Rebuild the sources, especially the new Cython file sklearn/manifold/bhtsne.pyx\n",
"\n",
" python setup.py build_ext -i\n",
"\n",
"Download this notebook\n",
"\n",
" curl https://gist.githubusercontent.com/cemoody/01135ef2f26837548360/raw/57288dd4ebd97a1d6447b14c78b8fb743147b91e/Barnes-Hut%20t-SNE%20Demo.ipynb > bhtsne_demo.ipynb\n",
"\n",
"Start the iPython Notebook, and then open the notebook\n",
" \n",
" ipython notebook\n",
"\n",
"Alternatively, you can download the script version of this and run it:\n",
" \n",
" curl https://gist.githubusercontent.com/cemoody/64ec3934e5b540e8f6e8/raw/f66809381d1baf005a2e2cd6c733e027fbf2e5eb/demo_bhtsne.py > demo_bhtsne.py"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Demo of BH t-SNE"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.manifold import bhtsne\n",
"import sys\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from time import time\n",
"from matplotlib import offsetbox\n",
"from sklearn import (manifold, datasets, decomposition, ensemble, lda, random_projection)\n",
"from sklearn.datasets import fetch_mldata"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"digits = datasets.load_digits(n_class=6)\n",
"X = digits.data\n",
"y = digits.target\n",
"n_samples, n_features = X.shape\n",
"n_neighbors = 30"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def plot_embedding(X, title=None):\n",
" x_min, x_max = np.min(X, 0), np.max(X, 0)\n",
" X = (X - x_min) / (x_max - x_min)\n",
"\n",
" plt.figure(figsize=(15,15))\n",
" ax = plt.subplot(111)\n",
" for i in range(X.shape[0]):\n",
" plt.text(X[i, 0], X[i, 1], str(digits.target[i]),\n",
" color=plt.cm.Set1(y[i] / 10.),\n",
" fontdict={'weight': 'bold', 'size': 9})\n",
"\n",
" if hasattr(offsetbox, 'AnnotationBbox'):\n",
" # only print thumbnails with matplotlib > 1.0\n",
" shown_images = np.array([[1., 1.]]) # just something big\n",
" for i in range(digits.data.shape[0]):\n",
" dist = np.sum((X[i] - shown_images) ** 2, 1)\n",
" if np.min(dist) < 4e-3:\n",
" # don't show points that are too close\n",
" continue\n",
" shown_images = np.r_[shown_images, [X[i]]]\n",
" imagebox = offsetbox.AnnotationBbox(\n",
" offsetbox.OffsetImage(digits.images[i], cmap=plt.cm.gray_r),\n",
" X[i])\n",
" ax.add_artist(imagebox)\n",
" plt.xticks([]), plt.yticks([])\n",
" if title is not None:\n",
" plt.title(title)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tsne = manifold.TSNE(n_components=2, init='pca', random_state=1, method='barnes_hut', n_iter=1000, verbose=20)\n",
"t0 = time()\n",
"Xtbh = tsne.fit_transform(X)\n",
"t1 = time()\n",
"dtbh = t1 - t0"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[t-SNE] Computing pairwise distances...\n",
"[t-SNE] Computing nearest neighbors...\n",
"[t-SNE] Computed conditional probabilities for sample 1000 / 1083"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Computed conditional probabilities for sample 1083 / 1083\n",
"[t-SNE] Mean sigma: 11.722976\n",
"[t-SNE] Iteration 25: error = 1.0299997, gradient norm = 0.0027466"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 50: error = 0.9620813, gradient norm = 0.0023000"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 75: error = 0.8291281, gradient norm = 0.0020988"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 100: error = 0.7979451, gradient norm = 0.0015836"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Error after 100 iterations with early exaggeration: 0.797945\n",
"[t-SNE] Iteration 125: error = 0.7681983, gradient norm = 0.0017382"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 150: error = 0.7595036, gradient norm = 0.0027530"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 175: error = 0.7584765, gradient norm = 0.0019935"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 200: error = 0.7530495, gradient norm = 0.0021226"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 225: error = 0.7549619, gradient norm = 0.0025411"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 250: error = 0.7611942, gradient norm = 0.0034922"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 250: did not make any progress during the last 30 episodes. Finished.\n",
"[t-SNE] Error after 250 iterations: 0.761194\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_embedding(Xtbh, title=\"Barnes-Hut t-SNE visualization of MNIST digits in %1.1f sec\" % dtbh)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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JW7dXyzTNuH7q6+vT/KgAAEAoBFgAAAAAkCAEWAAAAACQIARYAJBENbVOHWw+LEnas7dR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pvqMcS6fo3bS8mmN0SUg+UJR6fHbDbz4tYPOHa6QnPwgrgvrnHnpHly2QLtErY3AScOlhO8KfvT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\nQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7ff67eb45190>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Comparison with standard t-SNE"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tsne = manifold.TSNE(n_components=2, init='pca', random_state=1, method='standard', n_iter=1000, verbose=20)\n",
"t0 = time()\n",
"Xts = tsne.fit_transform(X)\n",
"t1 = time()\n",
"dts = t1 - t0"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[t-SNE] Computing pairwise distances...\n",
"[t-SNE] Computed conditional probabilities for sample 1000 / 1083"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Computed conditional probabilities for sample 1083 / 1083"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Mean sigma: 11.484561\n",
"[t-SNE] Iteration 25: error = 13.6114097, gradient norm = 0.0808075"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 50: error = 13.9680418, gradient norm = 0.0747129"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 75: error = 13.7644859, gradient norm = 0.0766499"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 100: error = 14.1081392, gradient norm = 0.0687183"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Error after 100 iterations with early exaggeration: 14.108139\n",
"[t-SNE] Iteration 125: error = 0.6980993, gradient norm = 0.0041228"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 150: error = 0.6599139, gradient norm = 0.0023878"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 175: error = 0.6607853, gradient norm = 0.0025294"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 200: error = 0.6592752, gradient norm = 0.0028095"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 225: error = 0.6612042, gradient norm = 0.0029860"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 250: error = 0.6650373, gradient norm = 0.0040230"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 275: error = 0.6749852, gradient norm = 0.0036559"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"[t-SNE] Iteration 275: did not make any progress during the last 50 episodes. Finished.\n",
"[t-SNE] Error after 275 iterations: 0.674985\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot_embedding(Xts, title=\"Standard t-SNE visualization of MNIST digits in %1.1f sec\" % dts)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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mZR2yg2+QXFFRwdixY1M3GBFJSwqwRNxM02Tjxo2Ypsnq1asjCrBiuRj1v+h0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\nt9kSrVmEJnny9mY/MpAZeeddSc7PpsrG0GTACgIsAACQtmQzB+GARKYpo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"text": [
"<matplotlib.figure.Figure at 0x7ff66bf17f90>"
]
}
],
"prompt_number": 8
}
],
"metadata": {}
}
]
}
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