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Created March 22, 2017 00:29
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The objective of tSNE is actually to highlight _clusters_ rather than finding low-dimensional representations of data.\n",
"\n",
"Scikit-learn has a nice page comparing what different clustering algorithms do to data without structure: http://scikit-learn.org/stable/auto_examples/cluster/plot_cluster_comparison.html\n",
"\n",
"Let's do something like that for tSNE"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"no_structure = np.random.rand(4000, 2)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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Ux5Vz/Bk3GbqGVTfNV+7YmBlGKu3+/BU3jHfIyF3wFT1CMB2OYFsiQKOVo2mP6nj/4pTj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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x21ce15a0128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(no_structure[:,0], no_structure[:,1])\n",
"plt.axis('equal');"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.manifold import TSNE"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[t-SNE] Computing pairwise distances...\n",
"[t-SNE] Computing 151 nearest neighbors...\n",
"[t-SNE] Computed conditional probabilities for sample 1000 / 4000\n",
"[t-SNE] Computed conditional probabilities for sample 2000 / 4000\n",
"[t-SNE] Computed conditional probabilities for sample 3000 / 4000\n",
"[t-SNE] Computed conditional probabilities for sample 4000 / 4000\n",
"[t-SNE] Mean sigma: 0.039414\n",
"[t-SNE] Iteration 25: error = 1.6851221, gradient norm = 0.0084960\n",
"[t-SNE] Iteration 50: error = 1.5789753, gradient norm = 0.0057398\n",
"[t-SNE] Iteration 75: error = 1.1829510, gradient norm = 0.0023762\n",
"[t-SNE] Iteration 100: error = 1.1001070, gradient norm = 0.0019263\n",
"[t-SNE] Error after 100 iterations with early exaggeration: 1.100107\n",
"[t-SNE] Iteration 125: error = 0.9740239, gradient norm = 0.0013952\n",
"[t-SNE] Iteration 150: error = 0.9383915, gradient norm = 0.0012539\n",
"[t-SNE] Iteration 175: error = 0.9298142, gradient norm = 0.0012219\n",
"[t-SNE] Iteration 200: error = 0.9275272, gradient norm = 0.0012140\n",
"[t-SNE] Iteration 225: error = 0.9268950, gradient norm = 0.0012117\n",
"[t-SNE] Iteration 250: error = 0.9267176, gradient norm = 0.0012111\n",
"[t-SNE] Iteration 275: error = 0.9266701, gradient norm = 0.0012110\n",
"[t-SNE] Iteration 300: error = 0.9266563, gradient norm = 0.0012109\n",
"[t-SNE] Iteration 325: error = 0.9266531, gradient norm = 0.0012109\n",
"[t-SNE] Iteration 350: error = 0.9266527, gradient norm = 0.0012109\n",
"[t-SNE] Iteration 350: error difference 0.000000. Finished.\n",
"[t-SNE] Error after 350 iterations: 0.926653\n"
]
}
],
"source": [
"tsne = TSNE(verbose=2, perplexity=50)\n",
"Y = tsne.fit_transform(no_structure)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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B8HbAz0gTHC3DIBG3sMxzR98RMvr333q9r1esetC2TPIFU2k1klksuTZwHTt3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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x21ce172e400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*Y.T);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's quickly color some groups with a simple clustering method"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.cluster import DBSCAN"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"dbs = DBSCAN()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"c = dbs.fit_predict(Y)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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7P8daRrGUgWPTuPf9isxcYRj8RuEX+BCyEl5Bu7rn6Tu+ZPu62hF+WZEIjwwi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\nL8d+S15W6QlqjTvX57PN75Zl6UDFqpxV7nz+wzqPGF5ZkpAVhZ53dS6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DmfDg91jMVkx5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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x21c80046978>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*Y.T, c=c);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now illustrate the clusters in the original square space for reference"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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l/QGT1R6HWjxN2JJVOxvQhRj2/JAK5CiL2EtdYftshEthRBWH39NFEhbP79g2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\npT68HoMvf3Zx3B2KIU1Oz9vAKx09E498mpddodS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DxzwNRAp1Rj7fMCgNebvAi5Pr6YqR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\ndxzHKSEe3B3HcUrI35fTS1lviXasAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x21c8014d240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*no_structure.T, c=c)\n",
"plt.axis('equal');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"tSNE looks at pairwise distances between points, so there's no reason to not find e.g. a 2D representation of 1D data."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"just_a_line = np.random.rand(4000, 1)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x21c8018df28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(just_a_line, just_a_line);"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[t-SNE] Computing pairwise distances...\n",
"[t-SNE] Computing 151 nearest neighbors...\n",
"[t-SNE] Computed conditional probabilities for sample 1000 / 4000\n",
"[t-SNE] Computed conditional probabilities for sample 2000 / 4000\n",
"[t-SNE] Computed conditional probabilities for sample 3000 / 4000\n",
"[t-SNE] Computed conditional probabilities for sample 4000 / 4000\n",
"[t-SNE] Mean sigma: 0.004228\n",
"[t-SNE] Iteration 25: error = 1.6396712, gradient norm = 0.0088069\n",
"[t-SNE] Iteration 50: error = 1.5190879, gradient norm = 0.0060278\n",
"[t-SNE] Iteration 75: error = 1.0286640, gradient norm = 0.0025488\n",
"[t-SNE] Iteration 100: error = 0.9310530, gradient norm = 0.0020910\n",
"[t-SNE] Error after 100 iterations with early exaggeration: 0.931053\n",
"[t-SNE] Iteration 125: error = 0.7892047, gradient norm = 0.0014688\n",
"[t-SNE] Iteration 150: error = 0.7489737, gradient norm = 0.0013384\n",
"[t-SNE] Iteration 175: error = 0.7391522, gradient norm = 0.0013102\n",
"[t-SNE] Iteration 200: error = 0.7365174, gradient norm = 0.0013025\n",
"[t-SNE] Iteration 225: error = 0.7358059, gradient norm = 0.0013004\n",
"[t-SNE] Iteration 250: error = 0.7356097, gradient norm = 0.0012998\n",
"[t-SNE] Iteration 275: error = 0.7355559, gradient norm = 0.0012996\n",
"[t-SNE] Iteration 300: error = 0.7355404, gradient norm = 0.0012996\n",
"[t-SNE] Iteration 325: error = 0.7355356, gradient norm = 0.0012996\n",
"[t-SNE] Iteration 350: error = 0.7355343, gradient norm = 0.0012996\n",
"[t-SNE] Iteration 375: error = 0.7355340, gradient norm = 0.0012996\n",
"[t-SNE] Iteration 375: error difference 0.000000. Finished.\n",
"[t-SNE] Error after 375 iterations: 0.735534\n"
]
}
],
"source": [
"tsne = TSNE(verbose=2, perplexity=50)\n",
"Y = tsne.fit_transform(just_a_line)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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+4JbUMxoksRf85T2HHBtWF0P4ROCtf6Y+QE4ZtKoTbpJCNpfHlhdHkL8+DoFC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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x21c801e7c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*Y.T);"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"c = dbs.fit_predict(Y)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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FDXNogHIKwEAAy/79/5Mc+iqUKJUqXD96D8c3XEDEq2goZXKAICEUCWDrZIOqjSqgee/6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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x21c801d3e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(*Y.T, c=c);"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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dFU5/7zI2UtFof8iD5BFutL92tgzAo/s+lOryRCSDJDI5ejEwIG67f2xfPWZ2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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x21c801967f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(just_a_line, just_a_line, c=c);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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