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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Changing K\n",
"\n",
"In this notebook, you will get some practice using different values of k in the k-means algorithm, and see how this changes the clusters that are observed in the data. You'll also get excperience determining what the best value for k might be for a dataset.\n",
"\n",
"To get started, let's read in our necessary libraries."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from sklearn.cluster import KMeans\n",
"from sklearn.datasets import make_blobs\n",
"import helpers2 as h\n",
"import tests as t\n",
"from IPython import display\n",
"\n",
"%matplotlib inline\n",
"\n",
"# Make the images larger\n",
"plt.rcParams['figure.figsize'] = (16, 9)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`1.` To get started, there is a function called **simulate_data** within the **helpers2** module. Read the documentation on the function by running the cell below. Then use the function to simulate a dataset with 200 data points (rows), 5 features (columns), and 4 centers"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"h.simulate_data?"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Looks good! Continue!\n"
]
}
],
"source": [
"data = h.simulate_data(200, 5, 4)# Create a dataset with 200 points, 5 features and 4 centers\n",
"\n",
"# This will check that your dataset appears to match ours before moving forward\n",
"t.test_question_1(data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`2.` Because of how you set up the data, what should the value of **k** be?"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"That's right! The value of k is the same as the number of centroids used to create your dataset.\n"
]
}
],
"source": [
"k_value = 4 # What should the value of k be?\n",
"\n",
"# Check your solution against ours.\n",
"t.test_question_2(k_value)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`3.` Let's try a few different values for **k** and fit them to our data using **KMeans**.\n",
"\n",
"To use KMeans, you need to follow three steps:\n",
"\n",
"**I.** Instantiate your model.\n",
"\n",
"**II.** Fit your model to the data.\n",
"\n",
"**III.** Predict the labels for the data."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fbd8360b320>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Try instantiating a model with 4 centers\n",
"kmeans_4 = KMeans(k_value)\n",
"\n",
"# Then fit the model to your data using the fit method\n",
"model_4 = kmeans_4.fit(data) #fit the model to your data using kmeans_4\n",
"\n",
"# Finally predict the labels on the same data to show the category that point belongs to\n",
"labels_4 = model_4.predict(data) #predict labels using model_4 on your dataset\n",
"\n",
"# If you did all of that correctly, this should provide a plot of your data colored by center\n",
"h.plot_data(data, labels_4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`4.` Now try again, but this time fit kmeans using 2 clusters instead of 4 to your data."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fbd8361e908>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Try instantiating a model with 2 centers\n",
"kmeans_2 = KMeans(2)\n",
"\n",
"# Then fit the model to your data using the fit method\n",
"model_2 = kmeans_2.fit(data)\n",
"\n",
"# Finally predict the labels on the same data to show the category that point belongs to\n",
"labels_2 = model_2.predict(data)\n",
"\n",
"# If you did all of that correctly, this should provide a plot of your data colored by center\n",
"h.plot_data(data, labels_2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`5.` Now try one more time, but with the number of clusters in kmeans to 7."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fbd80439978>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Try instantiating a model with 7 centers\n",
"kmeans_7 = KMeans(7)\n",
"\n",
"# Then fit the model to your data using the fit method\n",
"model_7 = kmeans_7.fit(data)\n",
"\n",
"# Finally predict the labels on the same data to show the category that point belongs to\n",
"labels_7 = model_7.predict(data)\n",
"\n",
"# If you did all of that correctly, this should provide a plot of your data colored by center\n",
"h.plot_data(data, labels_7)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Visually, we get some indication of how well our model is doing, but it isn't totally apparent. Each time additional centers are considered, the distances between the points and the center will decrease. However, at some point, that decrease is not substantial enough to suggest the need for an additional cluster. \n",
"\n",
"Using a scree plot is a common method for understanding if an additional cluster center is needed. The elbow method used by looking at a scree plot is still pretty subjective, but let's take a look to see how many cluster centers might be indicated.\n",
"_________\n",
"\n",
"`6.` Once you have **fit** a kmeans model to some data in sklearn, there is a **score** method, which takes the data. This score is an indication of how far the points are from the centroids. By fitting models for centroids from 1-10, and keeping track of the score and the number of centroids, you should be able to build a scree plot. \n",
"\n",
"This plot should have the number of centroids on the x-axis, and the absolute value of the score result on the y-axis. You can see the plot I retrieved by running the solution code. Try creating your own scree plot, as you will need it for the final questions."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# A place for your work - create a scree plot - you will need to\n",
"# Fit a kmeans model with changing k from 1-10\n",
"# Obtain the score for each model (take the absolute value)\n",
"# Plot the score against k"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fbd8042d898>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Run our solution\n",
"centers, scores = h.fit_mods()\n",
"\n",
"#Your plot should look similar to the below\n",
"plt.plot(centers, scores, linestyle='--', marker='o', color='b');\n",
"plt.xlabel('K');\n",
"plt.ylabel('SSE');\n",
"plt.title('SSE vs. K');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`7.` Using the scree plot, how many clusters would you suggest as being in the data? What is K?"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"That's right! We set up the data with 4 centers, and the plot is consistent! We can see a strong leveling off after 4 clusters, which suggests 4 clusters should be used.\n"
]
},
{
"data": {
"text/html": [
"<img src=\"https://media2.giphy.com/media/3ohzdIuqJoo8QdKlnW/giphy.gif\">"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"value_for_k = 4 #what does the plot suggest for k?\n",
"\n",
"# Test your solution against ours\n",
"display.HTML(t.test_question_7(value_for_k))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fbd80375668>]"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fbd803ef5f8>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"k = []\n",
"score = []\n",
"for i in range(1, 11):\n",
" model_i = KMeans(i)\n",
" model_i.fit(data)\n",
" score_i = model_i.score(data)\n",
" k.append(i)\n",
" score.append(abs(score_i))\n",
"\n",
"plt.plot(k, score, linestyle='--', marker='o', color='r')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"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": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}