{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___\n",
"\n",
"
\n",
"___\n",
"# K Means Clustering with Python\n",
"\n",
"This notebook is just a code reference for the video lecture and reading.\n",
"\n",
"## Method Used\n",
"\n",
"K Means Clustering is an unsupervised learning algorithm that tries to cluster data based on their similarity. Unsupervised learning means that there is no outcome to be predicted, and the algorithm just tries to find patterns in the data. In k means clustering, we have the specify the number of clusters we want the data to be grouped into. The algorithm randomly assigns each observation to a cluster, and finds the centroid of each cluster. Then, the algorithm iterates through two steps:\n",
"Reassign data points to the cluster whose centroid is closest. Calculate new centroid of each cluster. These two steps are repeated till the within cluster variation cannot be reduced any further. The within cluster variation is calculated as the sum of the euclidean distance between the data points and their respective cluster centroids."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Import Libraries"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Create some Data"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.datasets import make_blobs"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Create Data\n",
"data = make_blobs(n_samples=200, n_features=2, \n",
" centers=4, cluster_std=1.8,random_state=101)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualize Data"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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TXYKbm0+V5fcd/IuhpTnywyM8ybigRacrxLUJ8iTZiwj0wg3NYDDw1523cv/WBOTAT78v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\nT59OqVTBAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(data[0][:,0],data[0][:,1],c=data[1],cmap='rainbow')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Creating the Clusters"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.cluster import KMeans"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"kmeans = KMeans(n_clusters=4)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"KMeans(copy_x=True, init='k-means++', max_iter=300, n_clusters=4, n_init=10,\n",
" n_jobs=1, precompute_distances='auto', random_state=None, tol=0.0001,\n",
" verbose=0)"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kmeans.fit(data[0])"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"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": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kmeans.cluster_centers_"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([2, 3, 1, 3, 3, 0, 3, 1, 3, 1, 2, 1, 3, 3, 2, 1, 3, 1, 0, 2, 0, 1, 1,\n",
" 0, 2, 0, 0, 1, 3, 3, 2, 0, 3, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 3,\n",
" 2, 1, 0, 1, 1, 2, 3, 1, 0, 2, 1, 1, 2, 3, 0, 3, 0, 2, 3, 1, 0, 3, 3,\n",
" 0, 3, 1, 0, 1, 0, 3, 3, 1, 2, 1, 1, 0, 3, 0, 1, 1, 1, 2, 1, 0, 0, 0,\n",
" 0, 1, 1, 0, 3, 2, 0, 3, 1, 0, 1, 1, 3, 1, 0, 3, 0, 0, 3, 2, 2, 3, 0,\n",
" 3, 2, 2, 3, 2, 1, 2, 1, 2, 1, 3, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 3, 2,\n",
" 3, 1, 0, 3, 0, 2, 2, 3, 1, 0, 2, 2, 2, 2, 1, 3, 1, 2, 3, 3, 3, 1, 3,\n",
" 1, 1, 2, 0, 2, 1, 3, 2, 1, 3, 1, 2, 3, 1, 2, 3, 3, 0, 3, 2, 0, 0, 2,\n",
" 0, 0, 0, 0, 0, 1, 0, 3, 3, 2, 0, 1, 3, 3, 0, 1], dtype=int32)"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kmeans.labels_"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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17D6Ug4cc2bMtHC2OPPnE8xWakflsxAG69S1q1u7aox4/zXqG+vVbMm7scyWa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\nAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, (ax1, ax2) = plt.subplots(1, 2, sharey=True,figsize=(10,6))\n",
"ax1.set_title('K Means')\n",
"ax1.scatter(data[0][:,0],data[0][:,1],c=kmeans.labels_,cmap='rainbow')\n",
"ax2.set_title(\"Original\")\n",
"ax2.scatter(data[0][:,0],data[0][:,1],c=data[1],cmap='rainbow')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You should note, the colors are meaningless in reference between the two plots."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Great Job!"
]
}
],
"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": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}