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MediumPostTest
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Unsupervised learning method\n", | |
"We start with a generated data set that we know the \"right\" attributes of (the response) and test it.\n", | |
"\n", | |
"We then skip forward to a real data set where the \"right\" attributes are unknown. Thus, the algorithm can help us cluster for an unsupervised problem." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import seaborn as sns\n", | |
"import matplotlib.pyplot as plt" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from sklearn.datasets import make_blobs" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"df = make_blobs(n_samples=200, n_features=2, centers=4, cluster_std=1.8, random_state=101)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(200, 2)" | |
] | |
}, | |
"execution_count": 12, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"df[0].shape" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 720x432 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(10,6))\n", | |
"plt.scatter(df[0][:,0], df[0][:,1], c = df[1], cmap = 'rainbow')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 20, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"from sklearn.cluster import KMeans" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n", | |
" n_clusters=4, n_init=10, n_jobs=None, precompute_distances='auto',\n", | |
" random_state=None, tol=0.0001, verbose=0)" | |
] | |
}, | |
"execution_count": 21, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"kmeans = KMeans(n_clusters=4)\n", | |
"kmeans.fit(df[0])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 22, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([[-4.13591321, 7.95389851],\n", | |
" [-9.46941837, -6.56081545],\n", | |
" [-0.0123077 , 2.13407664],\n", | |
" [ 3.71749226, 7.01388735]])" | |
] | |
}, | |
"execution_count": 22, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"kmeans.cluster_centers_" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 23, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([0, 3, 2, 3, 3, 1, 3, 2, 3, 2, 0, 2, 3, 3, 0, 2, 3, 2, 1, 0, 1, 2,\n", | |
" 2, 1, 0, 1, 1, 2, 3, 3, 0, 1, 3, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0,\n", | |
" 2, 3, 0, 2, 1, 2, 2, 0, 3, 2, 1, 0, 2, 2, 0, 3, 1, 3, 1, 0, 3, 2,\n", | |
" 1, 3, 3, 1, 3, 2, 1, 2, 1, 3, 3, 2, 0, 2, 2, 1, 3, 1, 2, 2, 2, 0,\n", | |
" 2, 1, 1, 1, 1, 2, 2, 1, 3, 0, 1, 3, 2, 1, 2, 2, 3, 2, 1, 3, 1, 1,\n", | |
" 3, 0, 0, 3, 1, 3, 0, 0, 3, 0, 2, 0, 2, 0, 2, 3, 0, 2, 1, 0, 0, 0,\n", | |
" 2, 1, 1, 0, 3, 0, 3, 2, 1, 3, 1, 0, 0, 3, 2, 1, 0, 0, 0, 0, 2, 3,\n", | |
" 2, 0, 3, 3, 3, 2, 3, 2, 2, 0, 1, 0, 2, 3, 0, 2, 3, 2, 0, 3, 2, 0,\n", | |
" 3, 3, 1, 3, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 3, 3, 0, 1, 2, 3, 3,\n", | |
" 1, 2], dtype=int32)" | |
] | |
}, | |
"execution_count": 23, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"kmeans.labels_" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 27, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 720x432 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, (ax1, ax2) = plt.subplots(1, 2, sharey = True, figsize = (10,6))\n", | |
"\n", | |
"ax1.set_title('K Means')\n", | |
"ax1.scatter(df[0][:,0], df[0][:,1], c = kmeans.labels_, cmap = 'rainbow')\n", | |
"\n", | |
"ax2.set_title('Original')\n", | |
"ax2.scatter(df[0][:,0], df[0][:,1], c = df[1], cmap = 'rainbow')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 28, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 720x432 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"kmeans = KMeans(n_clusters=3)\n", | |
"kmeans.fit(df[0])\n", | |
"\n", | |
"fig, (ax1, ax2) = plt.subplots(1, 2, sharey = True, figsize = (10,6))\n", | |
"\n", | |
"ax1.set_title('K Means')\n", | |
"ax1.scatter(df[0][:,0], df[0][:,1], c = kmeans.labels_, cmap = 'rainbow')\n", | |
"\n", | |
"ax2.set_title('Original')\n", | |
"ax2.scatter(df[0][:,0], df[0][:,1], c = df[1], cmap = 'rainbow')\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"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": "3.6.8" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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