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Created on Cognitive Class Labs
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
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},
"source": [
"<a href=\"https://cognitiveclass.ai\"><img src = \"https://ibm.box.com/shared/static/9gegpsmnsoo25ikkbl4qzlvlyjbgxs5x.png\" width = 400> </a>\n",
"\n",
"<h1 align=center><font size = 5><em>k</em>-means Clustering</font></h1>"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
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}
},
"source": [
"## Introduction\n",
"\n",
"There are many models for clustering out there. In this lab, we will be presenting the model that is considered the one of the simplest model among them. Despite its simplicity, *k*-means is vastly used for clustering in many data science applications, especially useful if you need to quickly discover insights from unlabeled data.\n",
"\n",
"Some real-world applications of *k*-means include:\n",
"- customer segmentation,\n",
"- understand what the visitors of a website are trying to accomplish,\n",
"- pattern recognition, and,\n",
"- data compression.\n",
"\n",
"In this lab, we will learn *k*-means clustering with 3 examples:\n",
"- *k*-means on a randomly generated dataset.\n",
"- Using *k*-means for customer segmentation."
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"## Table of Contents\n",
"\n",
"1. <a href=\"#item1\"><em>k</em>-means on a Randomly Generated Dataset</a> \n",
"2. <a href=\"#item2\">Using <em>k</em> for Customer Segmentation</a> \n"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Before we start with the main lab content, let's download all the dependencies that we will need."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Libraries imported.\n"
]
}
],
"source": [
"import random # library for random number generation\n",
"import numpy as np # library for vectorized computation\n",
"import pandas as pd # library to process data as dataframes\n",
"\n",
"import matplotlib.pyplot as plt # plotting library\n",
"# backend for rendering plots within the browser\n",
"%matplotlib inline \n",
"\n",
"from sklearn.cluster import KMeans \n",
"from sklearn.datasets.samples_generator import make_blobs\n",
"\n",
"print('Libraries imported.')"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"<a id='item1'></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"## 1. *k*-means on a Randomly Generated Dataset"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Let's first demonstrate how *k*-means works with an example of engineered datapoints. "
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"#### 30 data points belonging to 2 different clusters (x1 is the first feature and x2 is the second feature)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Datapoints defined!\n"
]
}
],
"source": [
"# data\n",
"x1 = [-4.9, -3.5, 0, -4.5, -3, -1, -1.2, -4.5, -1.5, -4.5, -1, -2, -2.5, -2, -1.5, 4, 1.8, 2, 2.5, 3, 4, 2.25, 1, 0, 1, 2.5, 5, 2.8, 2, 2]\n",
"x2 = [-3.5, -4, -3.5, -3, -2.9, -3, -2.6, -2.1, 0, -0.5, -0.8, -0.8, -1.5, -1.75, -1.75, 0, 0.8, 0.9, 1, 1, 1, 1.75, 2, 2.5, 2.5, 2.5, 2.5, 3, 6, 6.5]\n",
"\n",
"print('Datapoints defined!')"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"#### Define a function that assigns each datapoint to a cluster"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"assign_members function defined!\n"
]
}
],
"source": [
"colors_map = np.array(['b', 'r'])\n",
"def assign_members(x1, x2, centers):\n",
" compare_to_first_center = np.sqrt(np.square(np.array(x1) - centers[0][0]) + np.square(np.array(x2) - centers[0][1]))\n",
" compare_to_second_center = np.sqrt(np.square(np.array(x1) - centers[1][0]) + np.square(np.array(x2) - centers[1][1]))\n",
" class_of_points = compare_to_first_center > compare_to_second_center\n",
" colors = colors_map[class_of_points + 1 - 1]\n",
" return colors, class_of_points\n",
"\n",
"print('assign_members function defined!')"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"#### Define a function that updates the centroid of each cluster"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"update_centers function defined!\n"
]
}
],
"source": [
"# update means\n",
"def update_centers(x1, x2, class_of_points):\n",
" center1 = [np.mean(np.array(x1)[~class_of_points]), np.mean(np.array(x2)[~class_of_points])]\n",
" center2 = [np.mean(np.array(x1)[class_of_points]), np.mean(np.array(x2)[class_of_points])]\n",
" return [center1, center2]\n",
"\n",
"print('update_centers function defined!')"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"#### Define a function that plots the data points along with the cluster centroids"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_points function defined!\n"
]
}
],
"source": [
"def plot_points(centroids=None, colors='g', figure_title=None):\n",
" # plot the figure\n",
" fig = plt.figure(figsize=(15, 10)) # create a figure object\n",
" ax = fig.add_subplot(1, 1, 1)\n",
" \n",
" centroid_colors = ['bx', 'rx']\n",
" if centroids:\n",
" for (i, centroid) in enumerate(centroids):\n",
" ax.plot(centroid[0], centroid[1], centroid_colors[i], markeredgewidth=5, markersize=20)\n",
" plt.scatter(x1, x2, s=500, c=colors)\n",
" \n",
" # define the ticks\n",
" xticks = np.linspace(-6, 8, 15, endpoint=True)\n",
" yticks = np.linspace(-6, 6, 13, endpoint=True)\n",
"\n",
" # fix the horizontal axis\n",
" ax.set_xticks(xticks)\n",
" ax.set_yticks(yticks)\n",
"\n",
" # add tick labels\n",
" xlabels = xticks\n",
" ax.set_xticklabels(xlabels)\n",
" ylabels = yticks\n",
" ax.set_yticklabels(ylabels)\n",
"\n",
" # style the ticks\n",
" ax.xaxis.set_ticks_position('bottom')\n",
" ax.yaxis.set_ticks_position('left')\n",
" ax.tick_params('both', length=2, width=1, which='major', labelsize=15)\n",
" \n",
" # add labels to axes\n",
" ax.set_xlabel('x1', fontsize=20)\n",
" ax.set_ylabel('x2', fontsize=20)\n",
" \n",
" # add title to figure\n",
" ax.set_title(figure_title, fontsize=24)\n",
"\n",
" plt.show()\n",
"\n",
"print('plot_points function defined!')"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"#### Initialize *k*-means - plot data points"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_points(figure_title='Scatter Plot of x2 vs x1')"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"#### Initialize *k*-means - randomly define clusters and add them to plot"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"centers = [[-2, 2], [2, -2]]\n",
"plot_points(centers, figure_title='k-means Initialization')"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"#### Run *k*-means (4-iterations only)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"name": "stdin",
"output_type": "stream",
"text": [
"Iteration 1 - Press Enter to update the members of each cluster \n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdin",
"output_type": "stream",
"text": [
"Iteration 1 - Press Enter to update the centers \n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdin",
"output_type": "stream",
"text": [
"Iteration 2 - Press Enter to update the members of each cluster \n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdin",
"output_type": "stream",
"text": [
"Iteration 2 - Press Enter to update the centers \n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdin",
"output_type": "stream",
"text": [
"Iteration 3 - Press Enter to update the members of each cluster \n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdin",
"output_type": "stream",
"text": [
"Iteration 3 - Press Enter to update the centers \n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdin",
"output_type": "stream",
"text": [
"Iteration 4 - Press Enter to update the members of each cluster \n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdin",
"output_type": "stream",
"text": [
"Iteration 4 - Press Enter to update the centers \n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"number_of_iterations = 4\n",
"for i in range(number_of_iterations):\n",
" input('Iteration {} - Press Enter to update the members of each cluster'.format(i + 1))\n",
" colors, class_of_points = assign_members(x1, x2, centers)\n",
" title = 'Iteration {} - Cluster Assignment'.format(i + 1)\n",
" plot_points(centers, colors, figure_title=title)\n",
" input('Iteration {} - Press Enter to update the centers'.format(i + 1))\n",
" centers = update_centers(x1, x2, class_of_points)\n",
" title = 'Iteration {} - Centroid Update'.format(i + 1)\n",
" plot_points(centers, colors, figure_title=title)"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
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},
"source": [
"Now, we have visually observed how <em>k</em>-means works, let's look at an example with many more datapoints. For this example, we will use the <strong>random</strong> library to generate thousands of datapoints."
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
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"run_control": {
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},
"source": [
"### Generating the Data"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
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},
"source": [
"First, we need to set up a random seed. We use the Numpy's **random.seed()** function, and we will set the seed to 0. In other words, **random.seed(0)**."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"button": false,
"deletable": true,
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"run_control": {
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}
},
"outputs": [],
"source": [
"np.random.seed(0)"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
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},
"source": [
"Next we will be making *random clusters* of points by using the **make_blobs** class. The **make_blobs** class can take in many inputs, but we will use these specific ones.\n",
"\n",
"<b> <u> Input </u> </b>\n",
"<ul>\n",
" <li> <b>n_samples</b>: The total number of points equally divided among clusters. </li>\n",
" <ul> <li> Value will be: 5000 </li> </ul>\n",
" <li> <b>centers</b>: The number of centers to generate, or the fixed center locations. </li>\n",
" <ul> <li> Value will be: [[4, 4], [-2, -1], [2, -3],[1,1]] </li> </ul>\n",
" <li> <b>cluster_std</b>: The standard deviation of the clusters. </li>\n",
" <ul> <li> Value will be: 0.9 </li> </ul>\n",
"</ul>\n",
"\n",
"<b> <u> Output </u> </b>\n",
"<ul>\n",
" <li> <b>X</b>: Array of shape [n_samples, n_features]. (Feature Matrix)</li>\n",
" <ul> <li> The generated samples. </li> </ul> \n",
" <li> <b>y</b>: Array of shape [n_samples]. (Response Vector)</li>\n",
" <ul> <li> The integer labels for cluster membership of each sample. </li> </ul>\n",
"</ul>\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
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}
},
"outputs": [],
"source": [
"X, y = make_blobs(n_samples=5000, centers=[[4, 4], [-2, -1], [2, -3], [1, 1]], cluster_std=0.9)"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
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},
"source": [
"Display the scatter plot of the randomly generated data."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
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},
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},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fb5ae203f60>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15, 10))\n",
"plt.scatter(X[:, 0], X[:, 1], marker='.')"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"### Setting up *k*-means"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Now that we have our random data, let's set up our *k*-means clustering."
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"The KMeans class has many parameters that can be used, but we will use these three:\n",
"<ul>\n",
" <li> <strong>init</strong>: Initialization method of the centroids. </li>\n",
" <ul>\n",
" <li> Value will be: \"k-means++\". k-means++ selects initial cluster centers for <em>k</em>-means clustering in a smart way to speed up convergence.</li>\n",
" </ul>\n",
" <li> <strong>n_clusters</strong>: The number of clusters to form as well as the number of centroids to generate. </li>\n",
" <ul> <li> Value will be: 4 (since we have 4 centers)</li> </ul>\n",
" <li> <strong>n_init</strong>: Number of times the <em>k</em>-means algorithm will be run with different centroid seeds. The final results will be the best output of n_init consecutive runs in terms of inertia. </li>\n",
" <ul> <li> Value will be: 12 </li> </ul>\n",
"</ul>\n",
"\n",
"Initialize KMeans with these parameters, where the output parameter is called **k_means**."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [],
"source": [
"k_means = KMeans(init=\"k-means++\", n_clusters=4, n_init=12)"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Now let's fit the KMeans model with the feature matrix we created above, <b> X </b>."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
" n_clusters=4, n_init=12, n_jobs=None, precompute_distances='auto',\n",
" random_state=None, tol=0.0001, verbose=0)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"k_means.fit(X)"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Now let's grab the labels for each point in the model using KMeans **.labels\\_** attribute and save it as **k_means_labels**."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([0, 3, 3, ..., 1, 0, 0], dtype=int32)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"k_means_labels = k_means.labels_\n",
"k_means_labels"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"We will also get the coordinates of the cluster centers using KMeans **.cluster\\_centers\\_** and save it as **k_means_cluster_centers**."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([[-2.03743147, -0.99782524],\n",
" [ 3.97334234, 3.98758687],\n",
" [ 0.96900523, 0.98370298],\n",
" [ 1.99741008, -3.01666822]])"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"k_means_cluster_centers = k_means.cluster_centers_\n",
"k_means_cluster_centers"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"### Visualizing the Resulting Clusters"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"So now that we have the random data generated and the KMeans model initialized, let's plot them and see what the clusters look like."
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Please read through the code and comments to understand how to plot the model."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# initialize the plot with the specified dimensions.\n",
"fig = plt.figure(figsize=(15, 10))\n",
"\n",
"# colors uses a color map, which will produce an array of colors based on\n",
"# the number of labels. We use set(k_means_labels) to get the\n",
"# unique labels.\n",
"colors = plt.cm.Spectral(np.linspace(0, 1, len(set(k_means_labels))))\n",
"\n",
"# create a plot\n",
"ax = fig.add_subplot(1, 1, 1)\n",
"\n",
"# loop through the data and plot the datapoints and centroids.\n",
"# k will range from 0-3, which will match the number of clusters in the dataset.\n",
"for k, col in zip(range(len([[4,4], [-2, -1], [2, -3], [1, 1]])), colors):\n",
"\n",
" # create a list of all datapoints, where the datapoitns that are \n",
" # in the cluster (ex. cluster 0) are labeled as true, else they are\n",
" # labeled as false.\n",
" my_members = (k_means_labels == k)\n",
" \n",
" # define the centroid, or cluster center.\n",
" cluster_center = k_means_cluster_centers[k]\n",
" \n",
" # plot the datapoints with color col.\n",
" ax.plot(X[my_members, 0], X[my_members, 1], 'w', markerfacecolor=col, marker='.')\n",
" \n",
" # plot the centroids with specified color, but with a darker outline\n",
" ax.plot(cluster_center[0], cluster_center[1], 'o', markerfacecolor=col, markeredgecolor='k', markersize=6)\n",
"\n",
"# title of the plot\n",
"ax.set_title('KMeans')\n",
"\n",
"# remove x-axis ticks\n",
"ax.set_xticks(())\n",
"\n",
"# remove y-axis ticks\n",
"ax.set_yticks(())\n",
"\n",
"# show the plot\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"<a id='item2'></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"## 2. Using *k*-means for Customer Segmentation"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Imagine that you have a customer dataset, and you are interested in exploring the behavior of your customers using their historical data.\n",
"\n",
"Customer segmentation is the practice of partitioning a customer base into groups of individuals that have similar characteristics. It is a significant strategy as a business can target these specific groups of customers and effectively allocate marketing resources. For example, one group might contain customers who are high-profit and low-risk, that is, more likely to purchase products, or subscribe to a service. A business task is to retain those customers. Another group might include customers from non-profit organizations, and so on."
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"### Downloading Data"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Let's download the data and save it as a CSV file called **customer_segmentation.csv**"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Data downloaded!\n"
]
}
],
"source": [
"!wget -q -O 'customer_segmentation.csv' https://cocl.us/customer_dataset\n",
"print('Data downloaded!')"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Now that the data is downloaded, let's read it into a *pandas* dataframe."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Customer Id</th>\n",
" <th>Age</th>\n",
" <th>Edu</th>\n",
" <th>Years Employed</th>\n",
" <th>Income</th>\n",
" <th>Card Debt</th>\n",
" <th>Other Debt</th>\n",
" <th>Defaulted</th>\n",
" <th>Address</th>\n",
" <th>DebtIncomeRatio</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1</td>\n",
" <td>41</td>\n",
" <td>2</td>\n",
" <td>6</td>\n",
" <td>19</td>\n",
" <td>0.124</td>\n",
" <td>1.073</td>\n",
" <td>0.0</td>\n",
" <td>NBA001</td>\n",
" <td>6.3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2</td>\n",
" <td>47</td>\n",
" <td>1</td>\n",
" <td>26</td>\n",
" <td>100</td>\n",
" <td>4.582</td>\n",
" <td>8.218</td>\n",
" <td>0.0</td>\n",
" <td>NBA021</td>\n",
" <td>12.8</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>3</td>\n",
" <td>33</td>\n",
" <td>2</td>\n",
" <td>10</td>\n",
" <td>57</td>\n",
" <td>6.111</td>\n",
" <td>5.802</td>\n",
" <td>1.0</td>\n",
" <td>NBA013</td>\n",
" <td>20.9</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>4</td>\n",
" <td>29</td>\n",
" <td>2</td>\n",
" <td>4</td>\n",
" <td>19</td>\n",
" <td>0.681</td>\n",
" <td>0.516</td>\n",
" <td>0.0</td>\n",
" <td>NBA009</td>\n",
" <td>6.3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>5</td>\n",
" <td>47</td>\n",
" <td>1</td>\n",
" <td>31</td>\n",
" <td>253</td>\n",
" <td>9.308</td>\n",
" <td>8.908</td>\n",
" <td>0.0</td>\n",
" <td>NBA008</td>\n",
" <td>7.2</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Customer Id Age Edu Years Employed Income Card Debt Other Debt \\\n",
"0 1 41 2 6 19 0.124 1.073 \n",
"1 2 47 1 26 100 4.582 8.218 \n",
"2 3 33 2 10 57 6.111 5.802 \n",
"3 4 29 2 4 19 0.681 0.516 \n",
"4 5 47 1 31 253 9.308 8.908 \n",
"\n",
" Defaulted Address DebtIncomeRatio \n",
"0 0.0 NBA001 6.3 \n",
"1 0.0 NBA021 12.8 \n",
"2 1.0 NBA013 20.9 \n",
"3 0.0 NBA009 6.3 \n",
"4 0.0 NBA008 7.2 "
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"customers_df = pd.read_csv('customer_segmentation.csv')\n",
"customers_df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"### Pre-processing"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"As you can see, **Address** in this dataset is a categorical variable. k-means algorithm isn't directly applicable to categorical variables because Euclidean distance function isn't really meaningful for discrete variables. So, lets drop this feature and run clustering."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
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" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Customer Id</th>\n",
" <th>Age</th>\n",
" <th>Edu</th>\n",
" <th>Years Employed</th>\n",
" <th>Income</th>\n",
" <th>Card Debt</th>\n",
" <th>Other Debt</th>\n",
" <th>Defaulted</th>\n",
" <th>DebtIncomeRatio</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1</td>\n",
" <td>41</td>\n",
" <td>2</td>\n",
" <td>6</td>\n",
" <td>19</td>\n",
" <td>0.124</td>\n",
" <td>1.073</td>\n",
" <td>0.0</td>\n",
" <td>6.3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2</td>\n",
" <td>47</td>\n",
" <td>1</td>\n",
" <td>26</td>\n",
" <td>100</td>\n",
" <td>4.582</td>\n",
" <td>8.218</td>\n",
" <td>0.0</td>\n",
" <td>12.8</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>3</td>\n",
" <td>33</td>\n",
" <td>2</td>\n",
" <td>10</td>\n",
" <td>57</td>\n",
" <td>6.111</td>\n",
" <td>5.802</td>\n",
" <td>1.0</td>\n",
" <td>20.9</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>4</td>\n",
" <td>29</td>\n",
" <td>2</td>\n",
" <td>4</td>\n",
" <td>19</td>\n",
" <td>0.681</td>\n",
" <td>0.516</td>\n",
" <td>0.0</td>\n",
" <td>6.3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>5</td>\n",
" <td>47</td>\n",
" <td>1</td>\n",
" <td>31</td>\n",
" <td>253</td>\n",
" <td>9.308</td>\n",
" <td>8.908</td>\n",
" <td>0.0</td>\n",
" <td>7.2</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Customer Id Age Edu Years Employed Income Card Debt Other Debt \\\n",
"0 1 41 2 6 19 0.124 1.073 \n",
"1 2 47 1 26 100 4.582 8.218 \n",
"2 3 33 2 10 57 6.111 5.802 \n",
"3 4 29 2 4 19 0.681 0.516 \n",
"4 5 47 1 31 253 9.308 8.908 \n",
"\n",
" Defaulted DebtIncomeRatio \n",
"0 0.0 6.3 \n",
"1 0.0 12.8 \n",
"2 1.0 20.9 \n",
"3 0.0 6.3 \n",
"4 0.0 7.2 "
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = customers_df.drop('Address', axis=1)\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Now let's normalize the dataset. But why do we need normalization in the first place? Normalization is a statistical method that helps mathematical-based algorithms interpret features with different magnitudes and distributions equally. We use **StandardScaler()** to normalize our dataset."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.74291541, 0.31212243, -0.37878978, ..., -0.59048916,\n",
" -0.52379654, -0.57652509],\n",
" [ 1.48949049, -0.76634938, 2.5737211 , ..., 1.51296181,\n",
" -0.52379654, 0.39138677],\n",
" [-0.25251804, 0.31212243, 0.2117124 , ..., 0.80170393,\n",
" 1.90913822, 1.59755385],\n",
" ...,\n",
" [-1.24795149, 2.46906604, -1.26454304, ..., 0.03863257,\n",
" 1.90913822, 3.45892281],\n",
" [-0.37694723, -0.76634938, 0.50696349, ..., -0.70147601,\n",
" -0.52379654, -1.08281745],\n",
" [ 2.1116364 , -0.76634938, 1.09746566, ..., 0.16463355,\n",
" -0.52379654, -0.2340332 ]])"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"X = df.values[:,1:]\n",
"X = np.nan_to_num(X)\n",
"cluster_dataset = StandardScaler().fit_transform(X)\n",
"cluster_dataset"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"### Modeling"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Let's run our model and group our customers into three clusters."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1 2 0 1 2 2 1 1 1 2 0 1 1 1 0 1 1 1 2 1 1 1 0 2 2 1 1 1 1 1 1 2 0 1 1 1 0\n",
" 0 1 2 0 2 1 2 1 2 1 1 1 1 2 2 0 1 0 0 0 1 1 1 2 1 2 2 1 1 1 0 1 0 1 1 1 1\n",
" 1 1 1 1 2 1 1 0 2 1 2 1 1 1 0 0 1 1 0 0 1 1 1 1 0 1 0 2 1 0 0 2 1 1 1 1 1\n",
" 1 1 0 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 2 1 1 0\n",
" 1 1 1 2 0 1 1 1 1 2 0 0 1 2 1 1 1 1 1 1 1 1 2 1 1 0 1 0 1 1 0 2 0 1 1 2 0\n",
" 2 1 1 1 1 1 2 1 0 1 1 1 2 2 1 2 1 0 1 1 0 1 2 1 0 1 1 1 1 1 0 0 2 1 1 0 2\n",
" 1 1 1 1 2 1 1 0 1 1 1 1 2 1 1 0 2 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 0 1 0 1\n",
" 1 1 2 1 0 2 0 1 2 1 1 0 1 1 1 1 0 0 0 1 1 1 2 1 1 2 1 2 1 1 2 1 1 1 0 1 1\n",
" 0 1 0 2 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 2 1 0 1 1 1 0 0 1 1 1 2 0\n",
" 1 1 0 1 2 1 1 1 1 1 0 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 2 0 1 0 1 1 1 2 2 1\n",
" 0 1 2 0 0 1 1 1 0 1 1 1 1 1 2 1 2 1 1 1 1 0 1 0 1 1 1 2 1 1 1 1 0 1 1 0 0\n",
" 2 1 1 1 1 1 0 0 1 2 0 2 1 1 0 1 1 2 2 1 0 1 1 2 1 0 1 2 1 1 1 2 1 1 1 1 2\n",
" 1 0 1 1 1 1 2 0 1 1 2 1 0 1 1 2 1 2 1 1 1 1 1 1 1 2 2 1 1 2 1 0 1 1 1 0 1\n",
" 0 1 1 1 1 1 2 0 0 1 2 1 2 1 1 0 2 1 0 0 0 2 2 0 1 1 0 1 0 0 1 0 2 1 1 0 1\n",
" 0 2 0 1 1 0 1 1 0 0 0 1 1 1 2 2 1 1 0 1 1 0 2 1 0 1 1 1 0 1 2 1 2 2 1 2 1\n",
" 1 2 1 0 1 1 1 1 0 0 1 2 1 2 1 1 2 1 0 1 0 1 0 0 0 2 0 1 1 1 0 1 1 1 2 1 2\n",
" 1 0 0 1 1 1 1 1 1 1 0 2 1 2 1 1 0 1 1 1 0 1 1 0 0 0 0 1 2 1 0 0 1 1 1 1 2\n",
" 2 1 0 1 1 2 1 1 2 1 2 1 1 2 0 2 2 2 0 1 1 0 1 2 2 1 1 1 2 0 1 1 1 1 2 1 1\n",
" 1 1 1 0 1 1 2 1 1 2 1 1 1 1 1 1 0 2 1 1 0 1 1 1 1 0 1 2 1 1 2 1 1 0 1 0 1\n",
" 0 0 1 1 1 2 0 2 1 2 2 1 0 1 2 1 2 1 1 1 1 1 2 1 0 1 1 2 2 1 1 2 1 1 1 1 1\n",
" 1 1 1 0 1 1 2 1 1 1 1 1 1 1 0 1 1 1 2 0 2 2 1 1 1 0 1 1 1 0 0 1 0 1 1 1 2\n",
" 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 2 0 0 1 0 1 1 1 1 2 0 1 1 1 1 1 2 0 1 1 1 0\n",
" 1 1 0 1 1 1 1 1 1 0 0 2 2 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2]\n"
]
}
],
"source": [
"num_clusters = 3\n",
"\n",
"k_means = KMeans(init=\"k-means++\", n_clusters=num_clusters, n_init=12)\n",
"k_means.fit(cluster_dataset)\n",
"labels = k_means.labels_\n",
"\n",
"print(labels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h2 id=\"insights\">Insights</h2>"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"Note that each row in our dataset represents a customer, and therefore, each row is assigned a label."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [],
"source": [
"df[\"Labels\"] = labels\n",
"df.head(5)"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"We can easily check the centroid values by averaging the features in each cluster."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"jupyter": {
"outputs_hidden": false
},
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [],
"source": [
"df.groupby('Labels').mean()"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"<em>k</em>-means will partition your customers into three groups since we specified the algorithm to generate 3 clusters. The customers in each cluster are similar to each other in terms of the features included in the dataset.\n",
"\n",
"Now we can create a profile for each group, considering the common characteristics of each cluster. \n",
"For example, the 3 clusters can be:\n",
"\n",
"- OLDER, HIGH INCOME, AND INDEBTED\n",
"- MIDDLE AGED, MIDDLE INCOME, AND FINANCIALLY RESPONSIBLE\n",
"- YOUNG, LOW INCOME, AND INDEBTED"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"However, you can devise your own profiles based on the means above and come up with labels that you think best describe each cluster."
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"I hope that you are able to see the power of *k*-means here. This clustering algorithm provided us with insight into the dataset and lead us to group the data into three clusters. Perhaps the same results would have been achieved but using multiple tests and experiments."
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"### Thank you for completing this lab!\n",
"\n",
"This notebook was created by [Saeed Aghabozorgi](https://ca.linkedin.com/in/saeedaghabozorgi) and [Alex Aklson](https://www.linkedin.com/in/aklson/). We hope you found this lab interesting and educational. Feel free to contact us if you have any questions!"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"This notebook is part of a course on **Coursera** called *Applied Data Science Capstone*. If you accessed this notebook outside the course, you can take this course online by clicking [here](http://cocl.us/DP0701EN_Coursera_Week3_LAB1)."
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"source": [
"<hr>\n",
"\n",
"Copyright &copy; 2018 [Cognitive Class](https://cognitiveclass.ai/?utm_source=bducopyrightlink&utm_medium=dswb&utm_campaign=bdu). This notebook and its source code are released under the terms of the [MIT License](https://bigdatauniversity.com/mit-license/)."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
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"file_extension": ".py",
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