{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Feature Scaling\n",
"\n",
"With any distance based machine learning model (regularized regression methods, neural networks, and now kmeans), you will want to scale your data. \n",
"\n",
"If you have some features that are on completely different scales, this can greatly impact the clusters you get when using K-Means. \n",
"\n",
"In this notebook, you will get to see this first hand. To begin, let's read in the necessary libraries."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"from sklearn.cluster import KMeans\n",
"import matplotlib.pyplot as plt\n",
"from sklearn import preprocessing as p\n",
"\n",
"%matplotlib inline\n",
"\n",
"plt.rcParams['figure.figsize'] = (16, 9)\n",
"import helpers2 as h\n",
"import tests as t\n",
"\n",
"\n",
"# Create the dataset for the notebook\n",
"data = h.simulate_data(200, 2, 4)\n",
"df = pd.DataFrame(data)\n",
"df.columns = ['height', 'weight']\n",
"df['height'] = np.abs(df['height']*100)\n",
"df['weight'] = df['weight'] + np.random.normal(50, 10, 200)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`1.` Next, take a look at the data to get familiar with it. The dataset has two columns, and it is stored in the **df** variable. It might be useful to get an idea of the spread in the current data, as well as a visual of the points. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" height | \n",
" weight | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 650.565335 | \n",
" 60.096089 | \n",
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\n",
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\n",
" \n",
" | 2 | \n",
" 885.057453 | \n",
" 60.310782 | \n",
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\n",
" \n",
" | 3 | \n",
" 1028.641210 | \n",
" 64.484814 | \n",
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\n",
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" | 4 | \n",
" 746.899195 | \n",
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"text/plain": [
" height weight\n",
"0 650.565335 60.096089\n",
"1 512.894273 56.516825\n",
"2 885.057453 60.310782\n",
"3 1028.641210 64.484814\n",
"4 746.899195 36.936752"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Take a look at the data\n",
"df.head(5)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" height | \n",
" weight | \n",
"
\n",
" \n",
" \n",
" \n",
" | count | \n",
" 200.000000 | \n",
" 200.000000 | \n",
"
\n",
" \n",
" | mean | \n",
" 569.726207 | \n",
" 54.137034 | \n",
"
\n",
" \n",
" | std | \n",
" 246.966215 | \n",
" 11.938455 | \n",
"
\n",
" \n",
" | min | \n",
" 92.998481 | \n",
" 26.058373 | \n",
"
\n",
" \n",
" | 25% | \n",
" 357.542793 | \n",
" 46.838821 | \n",
"
\n",
" \n",
" | 50% | \n",
" 545.766752 | \n",
" 55.053171 | \n",
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\n",
" \n",
" | 75% | \n",
" 773.310607 | \n",
" 60.982262 | \n",
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\n",
" \n",
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" 1096.222348 | \n",
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\n",
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"text/plain": [
" height weight\n",
"count 200.000000 200.000000\n",
"mean 569.726207 54.137034\n",
"std 246.966215 11.938455\n",
"min 92.998481 26.058373\n",
"25% 357.542793 46.838821\n",
"50% 545.766752 55.053171\n",
"75% 773.310607 60.982262\n",
"max 1096.222348 84.145520"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#use this cell if you would like as well\n",
"df.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we've got a dataset, let's look at some options for scaling the data. As well as how the data might be scaled. There are two very common types of feature scaling that we should discuss:\n",
"\n",
"\n",
"**I. MinMaxScaler**\n",
"\n",
"In some cases it is useful to think of your data in terms of the percent they are as compared to the maximum value. In these cases, you will want to use **MinMaxScaler**.\n",
"\n",
"**II. StandardScaler**\n",
"\n",
"Another very popular type of scaling is to scale data so that it has mean 0 and variance 1. In these cases, you will want to use **StandardScaler**. \n",
"\n",
"It is probably more appropriate with this data to use **StandardScaler**. However, to get practice with feature scaling methods in python, we will perform both.\n",
"\n",
"`2.` First let's fit the **StandardScaler** transformation to this dataset. I will do this one so you can see how to apply preprocessing in sklearn."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"df_ss = p.StandardScaler().fit_transform(df) # Fit and transform the data"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df_ss = pd.DataFrame(df_ss) #create a dataframe\n",
"df_ss.columns = ['height', 'weight'] #add column names again\n",
"\n",
"plt.figure(figsize = [15,15])\n",
"plt.scatter(df_ss['height'], df_ss['weight']); # create a plot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`3.` Now it's your turn. Try fitting the **MinMaxScaler** transformation to this dataset. You should be able to use the previous example to assist."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" height | \n",
" weight | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.555775 | \n",
" 0.585977 | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.418546 | \n",
" 0.524358 | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.789514 | \n",
" 0.589673 | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.932636 | \n",
" 0.661531 | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.651799 | \n",
" 0.187277 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" height weight\n",
"0 0.555775 0.585977\n",
"1 0.418546 0.524358\n",
"2 0.789514 0.589673\n",
"3 0.932636 0.661531\n",
"4 0.651799 0.187277"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# fit and transform\n",
"\n",
"# for a dataframe called df with 2 cols to be scaled\n",
"df_mm = p.MinMaxScaler().fit_transform(df)\n",
"df_mm = pd.DataFrame(df_mm)\n",
"df_mm.columns = ['height', 'weight']\n",
"df_mm.head(5)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#create a dataframe\n",
"#change the column names\n",
"#plot the data\n",
"plt.figure(figsize = [15,15])\n",
"plt.scatter(df_mm['height'], df_mm['weight'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`4.` Now let's take a look at how kmeans divides the dataset into different groups for each of the different scalings of the data. Did you end up with different clusters when the data was scaled differently?"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def fit_kmeans(data, centers):\n",
" '''\n",
" INPUT:\n",
" data = the dataset you would like to fit kmeans to (dataframe)\n",
" centers = the number of centroids (int)\n",
" OUTPUT:\n",
" labels - the labels for each datapoint to which group it belongs (nparray)\n",
" \n",
" '''\n",
" kmeans = KMeans(centers)\n",
" labels = kmeans.fit_predict(data)\n",
" return labels\n",
"\n",
"labels = fit_kmeans(df, 10) #fit kmeans to get the labels\n",
" \n",
"# Plot the original data with clusters\n",
"plt.figure(figsize = [15,15])\n",
"\n",
"plt.scatter(df['height'], df['weight'], c=labels, cmap='Set1');"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#plot each of the scaled datasets\n",
"plt.figure(figsize = [15,15])\n",
"\n",
"labels_ss = fit_kmeans(df_ss, 10)\n",
"plt.scatter(df_ss['height'], df_ss['weight'], c=labels_ss, cmap='Set1')"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#another plot of the other scaled dataset\n",
"plt.figure(figsize = [15,15])\n",
"\n",
"labels_mm = fit_kmeans(df_mm, 10)\n",
"plt.scatter(df_mm['height'], df_mm['weight'], c=labels_mm, cmap='Set1')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Write your response here!"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"# Yes"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}