{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Support Vector Machines"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's create the same fake income / age clustered data that we used for our K-Means clustering example:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"#Create fake income/age clusters for N people in k clusters\n",
"def createClusteredData(N, k):\n",
" np.random.seed(1234)\n",
" pointsPerCluster = float(N)/k\n",
" X = []\n",
" y = []\n",
" for i in range (k):\n",
" incomeCentroid = np.random.uniform(20000.0, 200000.0)\n",
" ageCentroid = np.random.uniform(20.0, 70.0)\n",
" for j in range(int(pointsPerCluster)):\n",
" X.append([np.random.normal(incomeCentroid, 10000.0), np.random.normal(ageCentroid, 2.0)])\n",
" y.append(i)\n",
" X = np.array(X)\n",
" y = np.array(y)\n",
" return X, y"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from pylab import *\n",
"from sklearn.preprocessing import MinMaxScaler\n",
"\n",
"(X, y) = createClusteredData(100, 5)\n",
"\n",
"plt.figure(figsize=(8, 6))\n",
"plt.scatter(X[:,0], X[:,1], c=y.astype(float))\n",
"plt.show()\n",
"\n",
"scaling = MinMaxScaler(feature_range=(-1,1)).fit(X)\n",
"X = scaling.transform(X)\n",
"\n",
"plt.figure(figsize=(8, 6))\n",
"plt.scatter(X[:,0], X[:,1], c=y.astype(float))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we'll use linear SVC to partition our graph into clusters:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from sklearn import svm, datasets\n",
"\n",
"C = 1.0\n",
"svc = svm.SVC(kernel='linear', C=C).fit(X, y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By setting up a dense mesh of points in the grid and classifying all of them, we can render the regions of each cluster as distinct colors:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plotPredictions(clf):\n",
" # Create a dense grid of points to sample \n",
" xx, yy = np.meshgrid(np.arange(-1, 1, .001),\n",
" np.arange(-1, 1, .001))\n",
" \n",
" # Convert to Numpy arrays\n",
" npx = xx.ravel()\n",
" npy = yy.ravel()\n",
" \n",
" # Convert to a list of 2D (income, age) points\n",
" samplePoints = np.c_[npx, npy]\n",
" \n",
" # Generate predicted labels (cluster numbers) for each point\n",
" Z = clf.predict(samplePoints)\n",
"\n",
" plt.figure(figsize=(8, 6))\n",
" Z = Z.reshape(xx.shape) #Reshape results to match xx dimension\n",
" plt.contourf(xx, yy, Z, cmap=plt.cm.Paired, alpha=0.8) # Draw the contour\n",
" plt.scatter(X[:,0], X[:,1], c=y.astype(float)) # Draw the points\n",
" plt.show()\n",
" \n",
"plotPredictions(svc)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Or just use predict for a given point:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[3]\n"
]
}
],
"source": [
"print(svc.predict(scaling.transform([[200000, 40]])))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2]\n"
]
}
],
"source": [
"print(svc.predict(scaling.transform([[50000, 65]])))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Activity"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\"Linear\" is one of many kernels scikit-learn supports on SVC. Look up the documentation for scikit-learn online to find out what the other possible kernel options are. Do any of them work well for this data set?"
]
},
{
"cell_type": "raw",
"metadata": {},
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.8.15"
}
},
"nbformat": 4,
"nbformat_minor": 1
}