Files
FYS-STK4155/doc/Programs/JupyterFiles/Examples/Intro to ML Examples/Clustering.ipynb
T
2018-05-06 22:19:59 -04:00

127 lines
121 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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iq6++wscff+yzv7i4OEiShLq6OqSlpeH06dPQ6XSYM2eO31wqXLmb6SlCqQmr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\nQgghxK39f8Uokdves237AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1c1e3a4f28>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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wczu27duLNpMFmVoVVs4pw/1LroIhO3vI7osoGhjIURbqmHaDtgGFnYVwyB3I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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1c1e692c88>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1 2 2 2 0 0 0 2 1 1 2 2 0 1 0 0 0 1 2 2 0 2 0 1 2 0 0 1 1 0 1 1 0 1 2 0 2\n",
" 2 2 0 0 2 1 2 2 0 1 1 1 1 2 0 0 0 1 0 2 2 1 1 2 0 0 2 2 0 1 0 1 2 2 2 0 1\n",
" 1 2 0 0 1 2 1 2 2 0 1 1 1 1 2 1 0 1 1 2 2 0 0 1 0 1]\n"
]
},
{
"data": {
"image/png": 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SE+1NvC6SQiDt24cecJecHDy2Ms2awfXX27Uhvv/eVnVVTgoAN95oJw+smDDz8uxo8Jtu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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115446da0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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0DNh+cfvtg5g+/QdWr95XbVtFWpqLpCQHpaWhx0WJiE0hboxpNOJ96yncOXNq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\nYxo7SxT1lCs1lcF3381tW7d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"text/plain": [
"<matplotlib.figure.Figure at 0x11540c668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import mglearn\n",
"import matplotlib.pyplot as plt\n",
"mglearn.plots.plot_kmeans_algorithm()\n",
"plt.show()\n",
"mglearn.plots.plot_kmeans_boundaries()\n",
"plt.show()\n",
"\n",
"from sklearn.datasets import make_blobs\n",
"from sklearn.cluster import KMeans\n",
"#generate synthetic 2D data\n",
"X,y=make_blobs(random_state=1)\n",
"#build clustering model\n",
"kmeans=KMeans(n_clusters=3)\n",
"kmeans.fit(X)\n",
"print (kmeans.predict(X))\n",
"\n",
"plt.scatter(X[:,0], X[:,1], c=kmeans.labels_, cmap=mglearn.cm3, s=60)\n",
"plt.scatter(kmeans.cluster_centers_[:, 0], kmeans.cluster_centers_[:, 1],\n",
" marker='^', s=100, linewidth=2, c=[0, 1, 2], cmap=mglearn.cm3)\n",
"plt.show()\n",
"\n",
"fig, axes=plt.subplots(1,2)\n",
"#using two clusters\n",
"kmean=KMeans(n_clusters=2)\n",
"kmeans.fit(X)\n",
"assignments=kmeans.labels_\n",
"axes[0].scatter(X[:,0], X[:,1], c=assignments, cmap='jet', s=60)\n",
"plt.show()\n",
"#using 5 clusters\n",
"kmean=KMeans(n_clusters=5)\n",
"kmeans.fit(X)\n",
"assignments=kmeans.labels_\n",
"axes[1].scatter(X[:,0], X[:,1], c=assignments, cmap='jet', s=60)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"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": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}