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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": {
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}
},
"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": {
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}
},
"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,
"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,
"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,
"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": 4,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"assign_members 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('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 plots the data points along with the cluster centroids"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"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": 6,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"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": 9,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"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": 10,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
},
"scrolled": 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,
"new_sheet": false,
"run_control": {
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}
},
"source": [
"### Generating the Data"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
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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": 11,
"metadata": {
"button": false,
"collapsed": true,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [],
"source": [
"np.random.seed(0)"
]
},
{
"cell_type": "markdown",
"metadata": {
"button": false,
"deletable": true,
"new_sheet": false,
"run_control": {
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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": 13,
"metadata": {
"button": false,
"collapsed": true,
"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,
"deletable": true,
"new_sheet": false,
"run_control": {
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},
"source": [
"Display the scatter plot of the randomly generated data."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
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}
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fdb996fcac8>"
]
},
"execution_count": 16,
"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": 17,
"metadata": {
"button": false,
"collapsed": true,
"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": 18,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"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": 18,
"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": 19,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([2, 2, 1, ..., 1, 3, 3], dtype=int32)"
]
},
"execution_count": 19,
"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": 20,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 2.00811148, -3.01440138],\n",
" [ 1.01557176, 1.03442098],\n",
" [-1.95489462, -1.03564706],\n",
" [ 3.99211079, 3.99540917]])"
]
},
"execution_count": 20,
"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": 21,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"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": {},
"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": 22,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"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": 23,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
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" }\n",
"\n",
" .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>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": 23,
"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": 24,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
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" vertical-align: top;\n",
" }\n",
"\n",
" .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",
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" <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": 24,
"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": 32,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"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": 32,
"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": 33,
"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",
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" 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",
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" 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": 22,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
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"<div>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <th></th>\n",
" <th>Customer Id</th>\n",
" <th>Age</th>\n",
" <th>Edu</th>\n",
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" <th>Income</th>\n",
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" </tr>\n",
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" <th>4</th>\n",
" <td>5</td>\n",
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" <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",
" <td>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 Labels \n",
"0 0.0 6.3 1 \n",
"1 0.0 12.8 2 \n",
"2 1.0 20.9 0 \n",
"3 0.0 6.3 1 \n",
"4 0.0 7.2 2 "
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"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": 23,
"metadata": {
"button": false,
"collapsed": false,
"deletable": true,
"new_sheet": false,
"run_control": {
"read_only": false
}
},
"outputs": [
{
"data": {
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" <tr>\n",
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" <td>0.162393</td>\n",
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],
"text/plain": [
" Customer Id Age Edu Years Employed Income \\\n",
"Labels \n",
"0 424.451807 31.891566 1.861446 3.963855 31.789157 \n",
"1 426.122905 33.817505 1.603352 7.625698 36.143389 \n",
"2 424.408163 43.000000 1.931973 17.197279 101.959184 \n",
"\n",
" Card Debt Other Debt Defaulted DebtIncomeRatio \n",
"Labels \n",
"0 1.576675 2.843355 0.993939 13.994578 \n",
"1 0.853128 1.816855 0.000000 7.964991 \n",
"2 4.220673 7.954483 0.162393 13.915646 "
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.groupby('Labels').mean()"
]
},
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"<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"
]
},
{
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"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."
]
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"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."
]
},
{
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"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!"
]
},
{
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"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)."
]
},
{
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},
"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/)."
]
}
],
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