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Created October 13, 2017 22:00
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one-class-svm
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "Thurston Sexton\n\n\n\n\n"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# One-class SVM\n\n## Part (a) \nSupport vector machine classifiers find a hyperplane that defines a maximal margin of separation between the classes observed. This works well when there is a decent representation of each clas.s However, when one class far outnumbers another, as is the case when we almost always observe \"normal\" system behavior while needing to find anomalous behavior, this standard approach to an SVM is not always sufficient...the model is usually not able to generalize well. \n\nThe \"One-class SVM\" is a method that treats a distant point (e.g. the origin) as the only memeber of another, \"anomalous\" class, and relax the weighting of the original class to allow some number of errors in the observed class so that the overall topology of the observed class is preserved. This can be done by finding a hypersphere that contains some large fraction of the original data (after a kernel-transformation), and penalizing points lying outside of this hypersphere.\n\nThis is in fact a type of novelty detection, since we desire to determine whether any new observed points belong to the primary local groups of training points, or if they are in a previously isolated region (maiking them \"novel\")\n\n## Initial Preparation"
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "from scipy.io import loadmat\nimport numpy as np\nimport pandas as pd\nimport seaborn as sns\nimport os\n\nimport matplotlib.pyplot as plt\n%matplotlib inline",
"execution_count": 1,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "First, let's see what the data looks like. The anomaly detection we will be doing is a static one, looking at whether the current state of the system falls outside of the \"usual\"...or, novelty detection. This novelty approach depends on the hueristic that we have sufficiently explored the normal system behavior already, and that new observations far outside of this explored area are anomalous. \n\nWe should see how much information each of the 11 input features contain (are they independent?). This can be done with the pairwise correlation matrix, and let's us know how effective PCA might be at reducing dimensionality. "
},
{
"metadata": {
"code_folding": [],
"trusted": true
},
"cell_type": "code",
"source": "from sklearn.preprocessing import StandardScaler\n\ndata_dir = os.path.join('.', 'data')\ntrain_dat = loadmat(os.path.join(data_dir, 'trainingdata.mat'))['trainingdata']\nX_train = train_dat[:,:-1]\ny_train = train_dat[:,-1]\n\ntest_dat = loadmat(os.path.join(data_dir, 'testdata.mat'))['testdata']\nX_test = test_dat[:,:-1]\ny_test = test_dat[:,-1]\n\n\n\npd.DataFrame(X_train).head()",
"execution_count": 2,
"outputs": [
{
"data": {
"text/html": "<div>\n<style>\n .dataframe thead tr:only-child th {\n text-align: right;\n }\n\n .dataframe thead th {\n text-align: left;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>0</th>\n <th>1</th>\n <th>2</th>\n <th>3</th>\n <th>4</th>\n <th>5</th>\n <th>6</th>\n <th>7</th>\n <th>8</th>\n <th>9</th>\n <th>10</th>\n <th>11</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>485.798340</td>\n <td>499.198120</td>\n <td>503.133331</td>\n <td>491.320099</td>\n <td>482.113525</td>\n <td>495.260529</td>\n <td>496.573303</td>\n <td>493.159271</td>\n <td>486.850555</td>\n <td>505.231201</td>\n <td>490.794464</td>\n <td>489.217255</td>\n </tr>\n <tr>\n <th>1</th>\n <td>486.587555</td>\n <td>498.410858</td>\n <td>503.133331</td>\n <td>491.057251</td>\n <td>483.166626</td>\n <td>496.048279</td>\n <td>495.523102</td>\n <td>493.159271</td>\n <td>487.902588</td>\n <td>504.444550</td>\n <td>490.531616</td>\n <td>488.691437</td>\n </tr>\n <tr>\n <th>2</th>\n <td>485.008972</td>\n <td>499.198120</td>\n <td>503.920105</td>\n <td>490.531616</td>\n <td>481.586853</td>\n <td>494.472626</td>\n <td>496.835907</td>\n <td>493.159271</td>\n <td>488.428528</td>\n <td>505.493378</td>\n <td>493.159271</td>\n <td>488.691437</td>\n </tr>\n <tr>\n <th>3</th>\n <td>482.903381</td>\n <td>496.048279</td>\n <td>499.198120</td>\n <td>487.639587</td>\n <td>480.533356</td>\n <td>492.371124</td>\n <td>494.209991</td>\n <td>490.268799</td>\n <td>484.219482</td>\n <td>501.821869</td>\n <td>490.005890</td>\n <td>485.272125</td>\n </tr>\n <tr>\n <th>4</th>\n <td>486.850555</td>\n <td>498.410858</td>\n <td>502.346497</td>\n <td>490.005890</td>\n <td>481.323486</td>\n <td>494.997864</td>\n <td>497.098389</td>\n <td>492.371124</td>\n <td>487.639587</td>\n <td>504.968964</td>\n <td>492.108398</td>\n <td>489.217255</td>\n </tr>\n </tbody>\n</table>\n</div>",
"text/plain": " 0 1 2 3 4 5 \\\n0 485.798340 499.198120 503.133331 491.320099 482.113525 495.260529 \n1 486.587555 498.410858 503.133331 491.057251 483.166626 496.048279 \n2 485.008972 499.198120 503.920105 490.531616 481.586853 494.472626 \n3 482.903381 496.048279 499.198120 487.639587 480.533356 492.371124 \n4 486.850555 498.410858 502.346497 490.005890 481.323486 494.997864 \n\n 6 7 8 9 10 11 \n0 496.573303 493.159271 486.850555 505.231201 490.794464 489.217255 \n1 495.523102 493.159271 487.902588 504.444550 490.531616 488.691437 \n2 496.835907 493.159271 488.428528 505.493378 493.159271 488.691437 \n3 494.209991 490.268799 484.219482 501.821869 490.005890 485.272125 \n4 497.098389 492.371124 487.639587 504.968964 492.108398 489.217255 "
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sns.heatmap(pd.DataFrame(X_train).corr())",
"execution_count": 3,
"outputs": [
{
"data": {
"text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x210c9dfbe48>"
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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oGGFEvAb8ueC6mJn1WktrXs9w4/A4cDNrKO5CMTOrqNYGGF1SLydwM2sojTA8sF5O4GbW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\n",
"text/plain": "<matplotlib.figure.Figure at 0x210c9dfb898>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Wow, all of the features are incredibly correlated. We shouldn't need many features to completely describe our explored area. Let's try 2D PCA projection and see the explained variance ratio:"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# sns.pairplot(pd.DataFrame(X_train))\nfrom sklearn.decomposition import TruncatedSVD, FastICA\nn=2\npca = TruncatedSVD(n_components=n)\nXp=pca.fit_transform(X_train)\n\n\nsns.barplot(np.arange(n),pca.explained_variance_ratio_)\nplt.yscale('log')\npca.explained_variance_ratio_",
"execution_count": 4,
"outputs": [
{
"data": {
"text/plain": "array([ 0.9972209 , 0.00206881])"
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAD8CAYAAAB+UHOxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhvpvUlpbIJrQYIsAAAAASUVORK5CYII=\n",
"text/plain": "<matplotlib.figure.Figure at 0x210ca869b70>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Ok, we really only need one PC, but two will make the demonstration more clear and provide a clearer illustration of the elliptical nature of the gaussian assumption for Mahalonobis Distances later on\n\nWe can plot the entire dataset in a pair-wise comparison plot between the two PC's"
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "scaler = StandardScaler()\nXp = scaler.fit_transform(Xp)\nXt = pca.transform(X_test)\nXt = scaler.transform(Xt)\n\nXo = Xt[y_test==1]",
"execution_count": 5,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sns.pairplot(pd.DataFrame(Xp))",
"execution_count": 6,
"outputs": [
{
"data": {
"text/plain": "<seaborn.axisgrid.PairGrid at 0x210cb249208>"
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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cvnwz8ZTLio17mXlREecXRlgyp5yCsD/ngbVdrlMETwC/BpbmeBxCiC5wouNe4rbDP1eW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\nt741x28Q8hloDUdPWiy+ehQRyybkNbhseB4nOxI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"text/plain": "<matplotlib.figure.Figure at 0x210cb2490f0>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Almost all of the data falls nicely into two main clusters. Since most novelty detection methods don't assume perfectly clean initial observations (which ours is assuming), we can--based on the above plot--assume that about 0.1% of the given data is actually anomalous. This leads us to select a very low contamination factor, like 0.1% --which is reaonable given that our initial data is labeled. \n\nFinally, let's build a function that builds the pipeline of project --> scale --> fit model --> predict anomalies, and plots the output in the two PC directions for clarity. We'll also draw the decision boundary, making it more clear what we mean by \"novelty\""
},
{
"metadata": {
"trusted": true,
"collapsed": true
},
"cell_type": "code",
"source": "from sklearn.pipeline import Pipeline\nfrom matplotlib.font_manager import FontProperties\nfrom sklearn.metrics import classification_report\n\ndef novelty_test(clf, proj, scaler, X_train, X_test, y_test, \n n=2, plot=True, report=True, decisions=False):\n \n Xp=proj.fit_transform(X_train) # projected input\n Xp = scaler.fit_transform(Xp) # zero-mean, unit var\n \n clf.fit(Xp) # train the classifier\n \n Xt = pca.transform(X_test) # test data now, scaled/projected\n Xt = scaler.transform(Xt) # in the train-data's ref. frame\n\n Xo = Xt[y_test==1] # the true anomalies only\n \n y_pred = clf.predict(Xt) # anomaly predictions\n \n y_pred[y_pred == 1] = 0 # swapping label placeholder names (from matlab)\n y_pred[y_pred == -1] = 1\n\n if plot: \n xx, yy = np.meshgrid(np.linspace(-3, 3, 200), np.linspace(-5, 3, 200))\n # plot the line, the points, and the nearest vectors to the plane\n Z = clf.decision_function(np.c_[xx.ravel(), yy.ravel()])\n Z = Z.reshape(xx.shape)\n\n\n plt.figure(figsize=(10,10))\n plt.title(\"Novelty Detection\")\n plt.contourf(xx, yy, Z, levels=np.linspace(Z.min(), 0, 7), cmap=plt.cm.PuBu, alpha=.4)\n a = plt.contour(xx, yy, Z, levels=[0], linewidths=2, colors='darkred')\n plt.contourf(xx, yy, Z, levels=[0, Z.max()], colors='palevioletred', alpha=.4)\n\n s = 15\n b1 = plt.scatter(Xp[:, 0], Xp[:, 1], c='none', s=s, edgecolors='k')\n b2 = plt.scatter(Xt[y_pred!=1, 0], Xt[y_pred!=1, 1], c='dodgerblue', s=s,\n edgecolors=None)\n\n d = plt.scatter(Xt[y_pred==1, 0], Xt[y_pred==1, 1], facecolors='none', s=s,\n edgecolors='xkcd:goldenrod', alpha=1)\n c = plt.scatter(Xo[:, 0], Xo[:, 1], c=None, s=s, facecolors='xkcd:rust',\n edgecolors='none', alpha=.8)\n\n plt.legend([a.collections[0], b1, b2, d, c],\n [\"learned frontier\", \"training observations\",\n \"detected regular observations\", 'detected abnormal', \"actual abnormal observations\"],\n loc=\"upper left\",\n prop=FontProperties(size=11))\n if report:\n print(classification_report(y_test, y_pred))\n\n if decisions: \n return clf, y_pred, clf.decision_function(Xt)\n else:\n return clf, y_pred\n",
"execution_count": 210,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "\n\n## Results - Part (b)"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from sklearn.svm import OneClassSVM\n\nclf, y_pred = novelty_test(OneClassSVM(nu=.001, kernel='rbf'),\n TruncatedSVD(n_components = 2),\n StandardScaler(),\n X_train, X_test, y_test)\n",
"execution_count": 154,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " precision recall f1-score support\n\n 0.0 1.00 1.00 1.00 2881\n 1.0 1.00 1.00 1.00 2880\n\navg / total 1.00 1.00 1.00 5761\n\n"
},
{
"data": {
"image/png": 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GjRs/s9zIkaMYOnQIZmZmrF+/IcM+f39/oqLu06FDe0B3l9+IESNwdnZ+4XYWNTIiJUlP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\nMvWr1eSTn3/lbNuPMbw7G4PBkkqo7nCv415yS0ZJVUZrkO3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/sJesQlzkVRSnHb+AQt5e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"text/plain": "<matplotlib.figure.Figure at 0x210da9e7518>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Sensitivity Study\nLet's see ow this performs with other parameter settings, specifically, the assumed contamination/outlier fraction and the kernel type"
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "print('Polyomial Kernel (d=3)')\nclf, y_pred = novelty_test(OneClassSVM(nu=.001, kernel='poly', degree=3),\n TruncatedSVD(n_components = 2),\n StandardScaler(),\n X_train, X_test, y_test)\nprint('Polyomial Kernel (d=5)')\nclf, y_pred = novelty_test(OneClassSVM(nu=.001, kernel='poly', degree=5),\n TruncatedSVD(n_components = 2),\n StandardScaler(),\n X_train, X_test, y_test)\nprint('Linear Kernel: ')\nclf, y_pred = novelty_test(OneClassSVM(nu=.001, kernel='linear'),\n TruncatedSVD(n_components = 2),\n StandardScaler(),\n X_train, X_test, y_test)",
"execution_count": 170,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Polyomial Kernel (d=3)\n precision recall f1-score support\n\n 0.0 0.49 0.97 0.65 2881\n 1.0 0.00 0.00 0.00 2880\n\navg / total 0.25 0.49 0.33 5761\n\nPolyomial Kernel (d=5)\n precision recall f1-score support\n\n 0.0 0.50 0.99 0.66 2881\n 1.0 0.00 0.00 0.00 2880\n\navg / total 0.25 0.49 0.33 5761\n\nLinear Kernel: \n precision recall f1-score support\n\n 0.0 0.40 0.67 0.50 2881\n 1.0 0.00 0.00 0.00 2880\n\navg / total 0.20 0.34 0.25 5761\n\n"
},
{
"data": {
"image/png": 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HQw8/PlJyXmaP9FRCpSi5jxqpygILCwvWrlzNF8OG8sPMGRgNBooUKcKyBYto1tSfpSuW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"text/plain": "<matplotlib.figure.Figure at 0x210dc690128>"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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O6Y1klduRpJgoUuLjMUbcQVPwaT1ciqIorx/Drb+Jn/A1xqBLCAtLqg8eSan6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iOZVEnSJaaGheMz8UMMTVrgSk/jh8fukyNWZ1Ba0feMhfO4ZsRA+j3xANv37/FwhKXTdR2T0Yiq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\nI8lMwkIxVYhs34UyjVvI6UGRJqSmSmQK5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rTqXQQXLkLciWMYWzdgjanm75DELdKLFCfw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\nd1Dvvur71yY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"text/plain": "<matplotlib.figure.Figure at 0x210dc1174e0>"
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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VtIGTkQo6RaAWCjVtXnxMdjxvTURFUXBwcGDfvuBnym7cuJHhvV6vRwjBkSNH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srEPktrjd6wLjJlPNw4rqsrOyjd2ckqiR+Ymdyjl5RfukCPzGyOPfAwTrzyQvYbNJTXPn6fZ26/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\nXMQxdpAZzLv/Zh729BJg62DVMloYYy4CrgYusdbGBrsekRxZDcw0xkwzx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"text/plain": "<matplotlib.figure.Figure at 0x210dc1a8a90>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Since we have essentially no negative examples and there is no strictly directional rule suited to linear or polynomial kernels in this 2-D projection, the other kernels perform quie poorly (e.g the d=3 polynomial just so happens to pick the \"wrong\" directionality for positive vs. negative decisions). Haveing more dimensions may drastically improve the linear kernels's performance since the space is relatively sparse outside of the explored area. \n\nLet's go back to the RBF kernel and test the effect of changing our contamination factor."
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from sklearn.metrics import f1_score, recall_score, precision_score, precision_recall_curve\n\nf, r, p = ([],[],[])\n\nfor nu in np.logspace(-4, 0, num=20, endpoint=False):\n clf, y_pred = novelty_test(OneClassSVM(nu=nu, kernel='rbf'),\n TruncatedSVD(n_components = 2),\n StandardScaler(),\n X_train, X_test, y_test, \n plot=False, report=False)\n f += [f1_score(y_test, y_pred)]\n r += [recall_score(y_test, y_pred)]\n p += [precision_score(y_test, y_pred)]\n\nplt.loglog(np.logspace(-4, 0, num=20, endpoint=False), \n np.c_[f, r, p], ls='-', marker='o', markerfacecolor='w')\nplt.legend((r'$F_1$-score', 'Recall', 'Precision'))\nplt.xlabel(r'$\\nu$ (contamination factor)')\nplt.ylabel('score')",
"execution_count": 162,
"outputs": [
{
"data": {
"text/plain": "<matplotlib.text.Text at 0x210d3426cc0>"
},
"execution_count": 162,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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kItOBc179Ncb8CGRX3g9EASllPZpC4F1gsjEmyRgzodKnaQ52V0q1aEOChjCw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\nEyYwfPhw3nzzTa655hr8/S0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"text/plain": "<matplotlib.figure.Figure at 0x210d33830f0>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "To better understand why increasing our contamination factor leads to only worse Precision (and not recall, we can return to our plot. Notice that there are now supposed \"outliers\" in the two clusters, since they are sufficiently far from their respective centers. Recall is unaffected in this more conservative model (since it can still fine all of the \"positive\"/anomalous samples), but precision is impacted since it is labeling negative/normal samples as positive/anomalous. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "clf, y_pred = novelty_test(OneClassSVM(nu=.2, kernel='rbf'),\n TruncatedSVD(n_components = 2),\n StandardScaler(),\n X_train, X_test, y_test)",
"execution_count": 163,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " precision recall f1-score support\n\n 0.0 1.00 0.90 0.95 2881\n 1.0 0.91 1.00 0.95 2880\n\navg / total 0.95 0.95 0.95 5761\n\n"
},
{
"data": {
"image/png": 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HDnD58mW6detqPF8IQXR0NI6OjtnquXfvHnv2hHHnzm3jY0lJSZw7F0X16tXR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\np6udr+jxom1lUOzFUrKzB2FUbTjyTlPfswAdZ4VPdaCz5eM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9+MX14OvJ79C3X3tqxywn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NTeySW3jaB6gkMnJaBw4oxk7u8q375iYsMBf7b89y/9h91JzJ4S/TVYLBhCVTDKQrrvamiVAPoW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"text/plain": "<matplotlib.figure.Figure at 0x210daa363c8>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "# Mahalonobis Distance\n\n## Part (c)\n\nMahalanobis distance is a higher-dimensional, weighted generalization of euclidian distance, where we assume that the data is normally distributed. It's defined in terms of a mutli-dimensional gaussian's mean (location) $\\mu$ and covariance matrix $\\Sigma$ as:\n\\begin{equation}d_{(\\mu, \\Sigma)}(x_i)^2 = (x_i-\\mu)'\\Sigma^{-1}(x_i-\\mu)\n\\end{equation}\nThis allows for different feature directions to have different weightings and interaction weights than the standard euclidian formulation ($\\Sigma=I$).\nThe elliptic envelope of our \"good\" data, then, is simply the maximum mahalanobis distance that contains all \"good\" data. To do this robustly, like before, we tell the model that we expect some fraction of the original data to be contaminated. \n\nAs an overview, we will use our original observations and decide on some fraction of the samples that we expect to be outliers when we assume the data to be normally distributed (multi-dim. gaussian). We will use a maximum likelihood approximation to fit a distribution to this training data, which is parametrized by a mean and, more importantly, a covariance matrix. This covariance matrix defines a mahalanobis distance (MD) for every sample point from the mean-location (from Eq.1 above). We can also use this same matrix to calculate the MD for any incoming, unseen points, and determine if they lie sufficiently far from the mean to be considered anomalous. This is the process outlined below. \n\n![diagram](diagram.png)"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Initial results - Part (d)\nAs discussed before, the contamination factor can be decently estimated as 0.1% of what we have in our training set based on our exploratory plots. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "from sklearn.covariance import EllipticEnvelope\n\nclf, y_pred = novelty_test(EllipticEnvelope(contamination=.001, assume_centered=True),\n TruncatedSVD(n_components=2),\n StandardScaler(),\n X_train, X_test, y_test)",
"execution_count": 175,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": " precision recall f1-score support\n\n 0.0 1.00 1.00 1.00 2881\n 1.0 1.00 1.00 1.00 2880\n\navg / total 1.00 1.00 1.00 5761\n\n"
},
{
"data": {
"image/png": 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RAvx9ADDoDbi6/qvuawcFKUGVBihBZd0oQZUxUILqzSJjoolfv4KENYsxxsYAULhaLbw7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2vUdKxNmpu9rQpJjkyBEqqzSY5MQeUUKlBSValRMmUOSqZKx7dwAd7npmJ4sgirVYdfqkdx0GZn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\nSgmVOSihKhnpziRr9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N3N+9D60bpcVH8/S306tbS1aATwyshTfavnHEqozEEJVeXkVNN9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\ntYoElfUkqOxNgir5JGNM7ZVQURWe8h2BcSNBKbpfN5juN9yWcIFhRCIs+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na0eJAdm9KJ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"text/plain": "<matplotlib.figure.Figure at 0x210dd9eef98>"
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Perfect, the new anomalous data just happened to be in a dierection favored for anomolies (instead of lying on the diagonal, which might have been more tenuous to classify due to the MD weighting in that direction...i.e. the length of the ellipse stretches quite far past the original observations). \n\nLet's calculate what the MD metric threshold is when we are setting a 0.001 contamination factor for the original dataset, and how that compares to the MD values of the test data. "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "sns.distplot(np.sqrt(clf.mahalanobis(Xp)) , label='Train Data')\nsns.distplot(np.sqrt(clf.mahalanobis(Xt)), label='Test Data')\nplt.title('Mahalanobis Distances in Training Set')\nbound = np.percentile(np.sqrt(clf.mahalanobis(Xp)), 99.9) # based on our contamination factor\nplt.axvspan(bound, 30, alpha=.1, color='r', zorder=0)\nplt.xlim(0,30)\nplt.text(bound+2, .5, f'MD > {bound:.3f}')\nplt.legend()\nprint(f\"Anomalous if MD > {bound:.3f}\")",
"execution_count": 209,
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": "Anomalous if MD > 3.040\n"
},
{
"data": {
"image/png": 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"text/plain": "<matplotlib.figure.Figure at 0x210dba43f60>"
},
"metadata": {},
"output_type": "display_data"
}
]
}
],
"metadata": {
"hide_input": false,
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.6.2",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"latex_envs": {
"eqNumInitial": 1,
"eqLabelWithNumbers": false,
"current_citInitial": 1,
"cite_by": "number",
"bibliofile": "biblio.bib",
"LaTeX_envs_menu_present": true,
"labels_anchors": false,
"latex_user_defs": false,
"user_envs_cfg": false,
"report_style_numbering": false,
"autocomplete": true,
"hotkeys": {
"equation": "Ctrl-E",
"itemize": "Ctrl-I"
}
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
},
"gist": {
"id": "",
"data": {
"description": "one-class-svm",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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