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{
"cells": [
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"from pandas import read_csv\n",
"from sklearn.cluster import KMeans\n",
"from yellowbrick.cluster import KElbowVisualizer, SilhouetteVisualizer\n",
"from sklearn.feature_extraction.text import TfidfVectorizer\n",
"from sklearn.metrics import silhouette_samples,silhouette_score\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import datasets\n",
"\n",
"df = read_csv('data/preprocessed/april-21.csv') \n",
"tfidf_vectorizer = TfidfVectorizer(ngram_range=(1,1))\n",
"tf_idf = tfidf_vectorizer.fit_transform(df['text'].values.astype('U'))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<AxesSubplot:title={'center':'Distortion Score Elbow for KMeans Clustering'}, xlabel='k', ylabel='distortion score'>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model = KMeans()\n",
"visualizer = KElbowVisualizer(model, k=(3,15),timings=False)\n",
"\n",
"visualizer.fit(X) # Fit the data to the visualizer\n",
"visualizer.show() "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"<AxesSubplot:title={'center':'Calinski Harabasz Score Elbow for KMeans Clustering'}, xlabel='k', ylabel='calinski harabasz score'>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model = KMeans()\n",
"visualizer = KElbowVisualizer(model, metric='calinski_harabasz',k=(3,15),timings=False)\n",
"\n",
"visualizer.fit(X) # Fit the data to the visualizer\n",
"visualizer.show() "
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouetter Score: 0.853\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouetter Score: 0.788\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouetter Score: 0.711\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouetter Score: 0.654\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouetter Score: 0.655\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouetter Score: 0.655\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouetter Score: 0.624\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouetter Score: 0.618\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"for i in [3,4,5,6,7,8,9,10]:\n",
" '''\n",
" Create KMeans instance for different number of clusters\n",
" '''\n",
" km = KMeans(n_clusters=i, init='k-means++', n_init=10, max_iter=100, random_state=42)\n",
" km.fit_predict(X)\n",
" score = silhouette_score(X, km.labels_, metric='euclidean')\n",
" print('Silhouetter Score: %.3f' % score)\n",
" '''\n",
" Create SilhouetteVisualizer instance with KMeans instance\n",
" Fit the visualizer\n",
" '''\n",
" visualizer = SilhouetteVisualizer(km, colors='yellowbrick')\n",
" visualizer.fit(X)\n",
" visualizer.show()\n",
" "
]
},
{
"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": "3.6.9"
}
},
"nbformat": 4,
"nbformat_minor": 4
}