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cas-pml/ML/unterlagen/06_Kmeans_Digits.ipynb
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(1797, 64)\n",
"10\n"
]
}
],
"source": [
"import numpy as np\n",
"from sklearn import datasets\n",
"digits = datasets.load_digits()\n",
"print(digits.data.shape)\n",
"print(len(np.unique(digits.target)))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0. 0. 5. 13. 9. 1. 0. 0. 0. 0. 13. 15. 10. 15. 5. 0. 0. 3.\n",
" 15. 2. 0. 11. 8. 0. 0. 4. 12. 0. 0. 8. 8. 0. 0. 5. 8. 0.\n",
" 0. 9. 8. 0. 0. 4. 11. 0. 1. 12. 7. 0. 0. 2. 14. 5. 10. 12.\n",
" 0. 0. 0. 0. 6. 13. 10. 0. 0. 0.]\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"1\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"2\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"3\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"4\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"5\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"6\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"7\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"8\n"
]
},
{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 288x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"9\n"
]
}
],
"source": [
"import matplotlib.pyplot as plt \n",
"\n",
"print(digits.data[0])\n",
"\n",
"for i in range(0,10):\n",
" plt.gray() \n",
" plt.matshow(digits.images[i]) \n",
" plt.show() \n",
"\n",
" print(digits.target[i])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.cluster import KMeans\n",
"from sklearn import metrics"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"KMeans(algorithm='auto', copy_x=True, init='random', max_iter=300,\n",
" n_clusters=10, n_init=1, n_jobs=None, precompute_distances='auto',\n",
" random_state=None, tol=0.0001, verbose=0)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kmeans = KMeans(n_clusters=10, init='random', n_init=1)\n",
"kmeans.fit(digits.data)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.14635503617139678\n",
"0.7117994427381035\n",
"0.7404373985051501\n",
"0.6093357932301648\n",
"0.1853690111150615\n"
]
}
],
"source": [
"print(metrics.accuracy_score(digits.target, kmeans.labels_))\n",
"print(metrics.homogeneity_score(digits.target, kmeans.labels_))\n",
"print(metrics.completeness_score(digits.target, kmeans.labels_))\n",
"print(metrics.adjusted_rand_score(digits.target, kmeans.labels_))\n",
"print(metrics.silhouette_score(digits.data, kmeans.labels_))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
" n_clusters=10, n_init=10, n_jobs=None, precompute_distances='auto',\n",
" random_state=None, tol=0.0001, verbose=0)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kmeans2 = KMeans(n_clusters=10)\n",
"kmeans2.fit(digits.data)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.1686143572621035\n",
"0.7399357778524577\n",
"0.7482872629927889\n",
"0.6705937130774368\n",
"0.1823418956707715\n"
]
}
],
"source": [
"print(metrics.accuracy_score(digits.target, kmeans2.labels_))\n",
"print(metrics.homogeneity_score(digits.target, kmeans2.labels_))\n",
"print(metrics.completeness_score(digits.target, kmeans2.labels_))\n",
"print(metrics.adjusted_rand_score(digits.target, kmeans2.labels_))\n",
"print(metrics.silhouette_score(digits.data, kmeans2.labels_))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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0), (2, 9), (1, 8), (7, 8), (4, 8), (6, 4), (3, 0), (1, 8), (3, 0), (9, 3), (1, 8), (7, 3), (6, 4), (8, 8), (4, 7), (3, 0), (1, 8), (4, 7), (0, 6), (5, 2), (3, 0), (6, 4), (9, 0), (6, 4), (1, 8), (7, 3), (5, 2), (4, 7), (4, 7), (7, 3), (2, 9), (2, 0), (5, 2), (7, 3), (9, 0), (5, 2), (4, 2), (4, 7), (9, 2), (0, 6), (8, 8), (9, 2), (8, 3), (0, 6), (1, 8), (2, 9), (3, 0), (4, 1), (5, 5), (6, 4), (7, 3), (8, 0), (9, 0), (0, 6), (1, 8), (2, 9), (3, 8), (4, 7), (5, 5), (6, 4), (7, 3), (8, 8), (9, 0), (0, 6), (1, 8), (2, 9), (3, 8), (4, 7), (5, 5), (6, 4), (7, 3), (8, 8), (9, 0), (0, 6), (9, 0), (5, 5), (5, 5), (6, 4), (5, 5), (0, 6), (9, 0), (8, 0), (9, 0), (8, 8), (4, 7), (1, 8), (7, 3), (7, 3), (3, 3), (5, 5), (1, 8), (0, 6), (0, 6), (2, 9), (2, 9), (7, 3), (8, 8), (2, 9), (0, 6), (1, 8), (2, 9), (6, 4), (3, 8), (3, 8), (7, 3), (3, 5), (3, 8), (4, 7), (6, 4), (6, 4), (6, 4), (4, 7), (9, 0), (1, 8), (5, 5), (0, 6), (9, 0), (5, 5), (2, 9), (8, 8), (2, 9), (0, 6), (0, 6), (1, 8), (7, 3), (6, 4), (3, 0), (2, 9), (1, 8), (7, 3), (4, 7), (6, 4), (3, 0), (1, 8), (3, 0), (9, 0), (1, 8), (7, 3), (6, 4), (8, 8), (4, 7), (3, 5), (1, 8), (4, 7), (0, 6), (5, 5), (3, 0), (6, 4), (9, 0), (6, 4), (1, 8), (7, 3), (5, 5), (4, 7), (4, 7), (7, 3), (2, 9), (8, 8), (2, 9), (2, 9), (5, 5), (7, 3), (9, 0), (5, 5), (4, 7), (8, 8), (8, 8), (4, 7), (9, 0), (0, 6), (8, 8), (9, 0), (8, 0)]\n"
]
}
],
"source": [
"print(list(zip(digits.target,kmeans.labels_)))"
]
}
],
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