Merge pull request #64 from pmediano/master

Improvements to Kozachenko multivariate entropy calculator.

Looks great, thanks Pedro. Fixes issue #56, will close it
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Joseph Lizier 2017-12-18 15:56:22 +11:00 committed by GitHub
commit a9dac705a8
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1 changed files with 141 additions and 18 deletions

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@ -18,6 +18,10 @@
package infodynamics.measures.continuous.kozachenko;
import java.util.Random;
import java.util.Iterator;
import java.util.Vector;
import infodynamics.measures.continuous.EntropyCalculator;
import infodynamics.measures.continuous.EntropyCalculatorMultiVariate;
import infodynamics.utils.EuclideanUtils;
@ -60,14 +64,64 @@ import infodynamics.utils.MatrixUtils;
public class EntropyCalculatorMultiVariateKozachenko
implements EntropyCalculator, EntropyCalculatorMultiVariate {
protected boolean debug = false;
private int totalObservations;
/**
* Total number of observations supplied.
*/
private int totalObservations = 0;
/**
* Number of dimensions of our multivariate data set
*/
private int dimensions = 1;
/**
* The set of observations, retained in case the user wants to retrieve the local
* entropy values of these.
*/
protected double[][] rawData;
/**
* Store the last computed average H
*/
private double lastAverage = 0.0;
/**
* Store the last computed local H
*/
private double[] lastLocalEntropy;
/**
* Track whether we've computed the average for the supplied
* observations yet
*/
private boolean isComputed;
/**
* Storage for observations supplied via {@link #addObservations(double[][])}
* type calls
*/
protected Vector<double[][]> vectorOfObservations;
/**
* Whether to report debug messages or not
*/
protected boolean debug = false;
/**
* Property name for whether to normalise the incoming data to
* mean 0, standard deviation 1 (default true)
*/
public static final String PROP_NORMALISE = "NORMALISE";
/**
* Property name for an amount of random Gaussian noise to be
* added to the data (default is 1e-8, matching the MILCA toolkit).
*/
public static final String PROP_ADD_NOISE = "NOISE_LEVEL_TO_ADD";
/**
* Whether to add an amount of random noise to the incoming data
*/
protected boolean addNoise = true;
/**
* Amount of random Gaussian noise to add to the incoming data
*/
protected double noiseLevel = (double) 1e-8;
/**
* Stored pre-computed value of the Euler-Mascheroni constant
*/
public static final double EULER_MASCHERONI_CONSTANT = 0.5772156;
/**
@ -91,15 +145,24 @@ public class EntropyCalculatorMultiVariateKozachenko
isComputed = false;
lastLocalEntropy = null;
}
@Override
public void setProperty(String propertyName, String propertyValue)
throws Exception {
boolean propertySet = true;
if (propertyName.equalsIgnoreCase(NUM_DIMENSIONS_PROP_NAME)) {
dimensions = Integer.parseInt(propertyValue);
} else if (propertyName.equalsIgnoreCase(PROP_ADD_NOISE)) {
if (propertyValue.equals("0") ||
propertyValue.equalsIgnoreCase("false")) {
addNoise = false;
noiseLevel = 0;
} else {
addNoise = true;
noiseLevel = Double.parseDouble(propertyValue);
}
} else {
// No property was set
// No property was set, and no superclass to call.
propertySet = false;
}
if (debug && propertySet) {
@ -112,20 +175,65 @@ public class EntropyCalculatorMultiVariateKozachenko
public String getProperty(String propertyName) throws Exception {
if (propertyName.equalsIgnoreCase(NUM_DIMENSIONS_PROP_NAME)) {
return Integer.toString(dimensions);
} else if (propertyName.equalsIgnoreCase(PROP_ADD_NOISE)) {
return Double.toString(noiseLevel);
} else {
// No property was set, and no superclass to call:
// No property was set, and no superclass to call.
return null;
}
}
@Override
public void setObservations(double[][] observations) {
rawData = observations;
totalObservations = observations.length;
public void startAddObservations() {
isComputed = false;
totalObservations = 0;
lastLocalEntropy = null;
rawData = null;
vectorOfObservations = new Vector<double[][]>();
}
public void finaliseAddObservations() {
rawData = new double[totalObservations][dimensions];
// Construct the joint vectors from the given observations
// (removing redundant data which is outside any timeDiff)
int startObservation = 0;
for (double[][] obs : vectorOfObservations) {
// Copy the data from these given observations into our master array
MatrixUtils.arrayCopy(obs, 0, 0,
rawData, startObservation, 0,
obs.length, dimensions);
startObservation += obs.length;
}
// We don't need to keep the vector of observation sets anymore:
vectorOfObservations = null;
if (addNoise) {
Random random = new Random();
// Add Gaussian noise of std dev noiseLevel to the data
for (int r = 0; r < totalObservations; r++) {
for (int c = 0; c < dimensions; c++) {
rawData[r][c] += random.nextGaussian()*noiseLevel;
}
}
}
}
@Override
public void setObservations(double[][] observations) {
startAddObservations();
addObservations(observations);
finaliseAddObservations();
}
public void setObservations(double[][] observations1, double[][] observations2)
throws Exception {
startAddObservations();
addObservations(observations1, observations2);
finaliseAddObservations();
}
/*
* (non-Javadoc)
* @see infodynamics.measures.continuous.EntropyCalculator#setObservations(double[])
@ -134,9 +242,24 @@ public class EntropyCalculatorMultiVariateKozachenko
* EntropyCalculator interface.
*/
@Override
public void setObservations(double[] observations) {
public void setObservations(double[] observations) {
startAddObservations();
addObservations(observations);
finaliseAddObservations();
}
public void addObservations(double[][] observations) {
if (vectorOfObservations == null) {
// startAddObservations was not called first
throw new RuntimeException("User did not call startAddObservations before addObservations");
}
vectorOfObservations.add(observations);
totalObservations += observations.length;
}
public void addObservations(double[] observations) {
rawData = MatrixUtils.reshape(observations, observations.length, 1);
setObservations(rawData);
addObservations(rawData);
}
/**
@ -149,9 +272,9 @@ public class EntropyCalculatorMultiVariateKozachenko
* @param data1 first few variables in the joint data
* @param data2 the other variables in the joint data
* @throws Exception When the length of the two arrays of observations do not match.
* @see #setObservations(double[][])
* @see #addObservations(double[][])
*/
public void setObservations(double[][] data1,
public void addObservations(double[][] data1,
double[][] data2) throws Exception {
int timeSteps = data1.length;
if ((data1 == null) || (data2 == null)) {
@ -169,7 +292,7 @@ public class EntropyCalculatorMultiVariateKozachenko
System.arraycopy(data2[t], 0, data[t], data1Variables, data2Variables);
}
// Now defer to the normal setObservations method
setObservations(data);
addObservations(data);
}
/**
@ -181,7 +304,7 @@ public class EntropyCalculatorMultiVariateKozachenko
return lastAverage;
}
double sdTermHere = sdTerm(totalObservations, dimensions);
double emConstHere = eulerMacheroniTerm(totalObservations);
double emConstHere = eulerMascheroniTerm(totalObservations);
double[] minDistance = EuclideanUtils.computeMinEuclideanDistances(rawData);
double entropy = 0.0;
if (debug) {
@ -221,7 +344,7 @@ public class EntropyCalculatorMultiVariateKozachenko
}
double sdTermHere = sdTerm(totalObservations, dimensions);
double emConstHere = eulerMacheroniTerm(totalObservations);
double emConstHere = eulerMascheroniTerm(totalObservations);
double constantToAddIn = sdTermHere + emConstHere;
double[] minDistance = EuclideanUtils.computeMinEuclideanDistances(rawData);
@ -271,7 +394,7 @@ public class EntropyCalculatorMultiVariateKozachenko
*
* @return
*/
public double eulerMacheroniTerm(int N) {
public double eulerMascheroniTerm(int N) {
// Using natural units
// return EULER_MASCHERONI_CONSTANT / Math.log(2);
try {