Skip to content

Instantly share code, notes, and snippets.

@arminwasicek
Last active February 20, 2017 04:41
Show Gist options
  • Save arminwasicek/87ffedea3a6230b9edf27616f583b1db to your computer and use it in GitHub Desktop.
Save arminwasicek/87ffedea3a6230b9edf27616f583b1db to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Find Outliers in Fuel Trim data using the Standard Deviation\n",
"\n",
"## Load data and peform initial visualization"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Vehicle speed (MPH)</th>\n",
" <th>Fuel system 1 status</th>\n",
" <th>Fuel system 2 status</th>\n",
" <th>Calculated load value (%)</th>\n",
" <th>Engine coolant temperature (F)</th>\n",
" <th>Short term fuel % trim - Bank 1 (%)</th>\n",
" <th>Long term fuel % trim - Bank 1 (%)</th>\n",
" <th>Short term fuel % trim - Bank 2 (%)</th>\n",
" <th>Long term fuel % trim - Bank 2 (%)</th>\n",
" <th>Engine RPM (RPM)</th>\n",
" <th>...</th>\n",
" <th>O2 voltage (Bank 2 Sensor 4) (V)</th>\n",
" <th>Short term fuel trim (Bank 2 Sensor 4) (%)</th>\n",
" <th>Acceleration (ft/s²)</th>\n",
" <th>Acceleration (Avg) (ft/s²)</th>\n",
" <th>Latitude</th>\n",
" <th>Longitude</th>\n",
" <th>Altitude (m)</th>\n",
" <th>Bearing (deg)</th>\n",
" <th>GPS Speed (m/s)</th>\n",
" <th>GPS Accuracy (m)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Time (sec)</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0.000</th>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>...</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.043</th>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>...</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.143</th>\n",
" <td>0.0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>...</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.243</th>\n",
" <td>0.0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>...</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>0.357</th>\n",
" <td>0.0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>...</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>5 rows × 38 columns</p>\n",
"</div>"
],
"text/plain": [
" Vehicle speed (MPH) Fuel system 1 status Fuel system 2 status \\\n",
"Time (sec) \n",
"0.000 0.0 0 0 \n",
"0.043 0.0 0 0 \n",
"0.143 0.0 1 0 \n",
"0.243 0.0 1 0 \n",
"0.357 0.0 1 0 \n",
"\n",
" Calculated load value (%) Engine coolant temperature (F) \\\n",
"Time (sec) \n",
"0.000 0.0 0.0 \n",
"0.043 0.0 0.0 \n",
"0.143 0.0 0.0 \n",
"0.243 0.0 0.0 \n",
"0.357 0.0 0.0 \n",
"\n",
" Short term fuel % trim - Bank 1 (%) \\\n",
"Time (sec) \n",
"0.000 0.0 \n",
"0.043 0.0 \n",
"0.143 0.0 \n",
"0.243 0.0 \n",
"0.357 0.0 \n",
"\n",
" Long term fuel % trim - Bank 1 (%) \\\n",
"Time (sec) \n",
"0.000 0.0 \n",
"0.043 0.0 \n",
"0.143 0.0 \n",
"0.243 0.0 \n",
"0.357 0.0 \n",
"\n",
" Short term fuel % trim - Bank 2 (%) \\\n",
"Time (sec) \n",
"0.000 0.0 \n",
"0.043 0.0 \n",
"0.143 0.0 \n",
"0.243 0.0 \n",
"0.357 0.0 \n",
"\n",
" Long term fuel % trim - Bank 2 (%) Engine RPM (RPM) \\\n",
"Time (sec) \n",
"0.000 0.0 0.0 \n",
"0.043 0.0 0.0 \n",
"0.143 0.0 0.0 \n",
"0.243 0.0 0.0 \n",
"0.357 0.0 0.0 \n",
"\n",
" ... O2 voltage (Bank 2 Sensor 4) (V) \\\n",
"Time (sec) ... \n",
"0.000 ... 0 \n",
"0.043 ... 0 \n",
"0.143 ... 0 \n",
"0.243 ... 0 \n",
"0.357 ... 0 \n",
"\n",
" Short term fuel trim (Bank 2 Sensor 4) (%) Acceleration (ft/s²) \\\n",
"Time (sec) \n",
"0.000 0 0.0 \n",
"0.043 0 0.0 \n",
"0.143 0 0.0 \n",
"0.243 0 0.0 \n",
"0.357 0 0.0 \n",
"\n",
" Acceleration (Avg) (ft/s²) Latitude Longitude Altitude (m) \\\n",
"Time (sec) \n",
"0.000 0.0 0.0 0.0 0 \n",
"0.043 0.0 0.0 0.0 0 \n",
"0.143 0.0 0.0 0.0 0 \n",
"0.243 0.0 0.0 0.0 0 \n",
"0.357 0.0 0.0 0.0 0 \n",
"\n",
" Bearing (deg) GPS Speed (m/s) GPS Accuracy (m) \n",
"Time (sec) \n",
"0.000 0.0 0.0 0 \n",
"0.043 0.0 0.0 0 \n",
"0.143 0.0 0.0 0 \n",
"0.243 0.0 0.0 0 \n",
"0.357 0.0 0.0 0 \n",
"\n",
"[5 rows x 38 columns]"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import scipy.stats\n",
"import scipy.spatial\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"TS=100\n",
"filename = 'CSVLog_20160128_165218.csv'\n",
"\n",
"vd = pd.read_csv(filename, skiprows=1, index_col='Time (sec)', skipinitialspace=True)\n",
"vd.head()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAmoAAAH4CAYAAAD6lMGqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a2ae198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"B1S1_O2='Short term fuel trim (Bank 1 Sensor 1) (%)'\n",
"B1_STFT='Short term fuel % trim - Bank 1 (%)'\n",
"\n",
"plt.figure(figsize=(10,8))\n",
"plt.plot(vd[B1S1_O2], vd[B1_STFT], \"o\")\n",
"plt.xlabel(B1S1_O2)\n",
"plt.ylabel(B1_STFT)\n",
"plt.grid(True)\n",
"plt.title(\"Fuel Trim\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fit Fuel Trim data to multivariate Gaussian\n",
"\n",
"### Compute mean and covariance of 2D matrix:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Mean:\n",
"[-0.69936497 -0.66973736]\n",
"Covariance:\n",
"[[ 10.65316251 7.18724487]\n",
" [ 7.18724487 10.64060502]]\n"
]
}
],
"source": [
"X = np.array(vd[[B1S1_O2, B1_STFT]]).T\n",
"mean = np.mean(X, axis=1)\n",
"cov = np.cov(X)\n",
"covinv = np.linalg.inv(cov)\n",
"print('Mean:\\n'+str(mean))\n",
"print('Covariance:\\n'+str(cov))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Generate multivariate distribution \n",
"\n",
"1. Use numpy to sample from a multivariate distribution with mean and covariance\n",
"2. Plot original data\n",
"3. Plot samples of distribution\n",
"\n",
"Note: `np.random.multivariate_normal` returns data that fits its parameters. An actual Gaussian PDF requires a different representation."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAEACAYAAACwB81wAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x104257f28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x, y = np.random.multivariate_normal(mean, cov, 800).T\n",
"plt.plot(X[0,:], X[1,:], '.', label='Original data')\n",
"plt.plot(x, y, '.', color='r', label='Generated')\n",
"plt.axis('equal')\n",
"plt.legend()\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Use actual distribution function\n",
"\n",
"Compute an actual distribution function using `scipy.stats.multivariate_normal`. The Probability Density Function (PDF) can subsequently be used to sample points."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEKCAYAAADw2zkCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noigKqgwURVEU4P8DSdHzGwhe314AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1063694e0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rv = scipy.stats.multivariate_normal(mean, cov)\n",
"\n",
"# Initialize grid\n",
"Xin, Yin = np.mgrid[-30:30, -30:30]\n",
"grid = np.empty(Xin.shape + (2,))\n",
"grid[:, :, 0] = Xin\n",
"grid[:, :, 1] = Yin\n",
"\n",
"# Plot contour of pdf, overlay with actual data\n",
"plt.contour(Xin, Yin, rv.pdf(grid))\n",
"plt.plot(X[0,:], X[1,:], '.', color='lightblue', alpha=0.03, label='Original data')\n",
"plt.title('Fuel trim data points and multivariate Gaussian distribution')\n",
"plt.grid(True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Anomaly Detection using Mahalanobis Distance\n",
"\n",
"Basic idea is to compute how far the point is distant from the mean, $\\mu$, in units of standard deviation, $\\sigma$. Univariate Gaussian data uses Z-score, multivariate Gaussian uses \n",
"[Mahalanobis distance](http://kldavenport.com/mahalanobis-distance-and-outliers/):\n",
"\n",
"$MD = \\sqrt{ (x - \\mu)^T {\\rm \\bf \\Sigma}^{-1} (x - \\mu)}$\n",
"\n",
"### Display outlier score as a signal over time. \n",
"\n",
"Outliers above the arbitratily chosen value of $4$ are flagged as outliers."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10aa4cac8>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA2wAAADXCAYAAABmidJ6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRCNFFNgiIiIiIiIiIiIiIiIaKf4fXWgjS3olxJsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a3ef390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"md = np.sqrt(np.diag(np.dot(X.T, np.dot(covinv, X))))\n",
"thres = np.array(4).repeat(md.shape)\n",
"md = pd.DataFrame(md, index=vd.index, columns=['mdist'])\n",
"md['thres'] = thres\n",
"outliers = md[md['mdist']>4].index\n",
"\n",
"md.plot(figsize=(15,3))\n",
"plt.grid(True)\n",
"plt.ylabel('Mahalanobis distance')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Mark outliers in the diagram"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAmoAAAH4CAYAAAD6lMGqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqf8HGbd3PNw5bSQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c915400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"vdr = vd[[B1S1_O2,B1_STFT]]\n",
"vdr = vdr.drop(outliers)\n",
"vdo = vd[[B1S1_O2,B1_STFT]]\n",
"vdo = vdo.loc[outliers]\n",
"\n",
"plt.figure(figsize=(10,8))\n",
"plt.plot(vdr[B1S1_O2], vdr[B1_STFT], \"o\", color='b', label='regular')\n",
"plt.plot(vdo[B1S1_O2], vdo[B1_STFT], \"o\", color='r', label='outlier')\n",
"plt.xlabel(B1S1_O2)\n",
"plt.ylabel(B1_STFT)\n",
"plt.legend()\n",
"plt.grid(True)\n",
"plt.title(\"Fuel Trim\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:tf]",
"language": "python",
"name": "conda-env-tf-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment