jidt/java/source/infodynamics/measures/discrete/EntropyCalculator.java

518 lines
15 KiB
Java
Executable File

package infodynamics.measures.discrete;
import infodynamics.utils.MatrixUtils;
/**
* Single state entropy calculator
*
* Usage:
* 1. Continuous accumulation of observations:
* Call: a. initialise()
* b. addObservations() several times over
* c. computeLocalFromPreviousObservations()
* 2. Standalone:
* Call: localActiveInformation()
*
* @author Joseph Lizier
*
*/
public class EntropyCalculator extends InfoMeasureCalculator
implements SingleAgentMeasure
{
protected int[] stateCount = null; // Count for i[t]
/**
* User was formerly forced to create new instances through this factory method.
* Retained for backwards compatibility.
*
* @param base
* @param blocksize
*
* @return
*/
public static EntropyCalculator newInstance(int base, int blocksize) {
if (blocksize > 1) {
return BlockEntropyCalculator.newInstance(blocksize, base);
} else {
return EntropyCalculator.newInstance(base);
}
}
public static EntropyCalculator newInstance(int base) {
return new EntropyCalculator(base);
}
/**
*
* @param base
*/
public EntropyCalculator(int base) {
super(base);
// Create storage for counts of observations
stateCount = new int[base];
}
/**
* Initialise calculator, preparing to take observation sets in
* Should be called prior to any of the addObservations() methods.
* You can reinitialise without needing to create a new object.
*/
public void initialise(){
super.initialise();
MatrixUtils.fill(stateCount, 0);
}
/**
* Add observations in to our estimates of the pdfs.
* This call suitable only for homogeneous agents, as all
* agents will contribute to single pdfs.
*
* @param states 1st index is time, 2nd index is agent number
*/
public void addObservations(int states[][]) {
int rows = states.length;
int columns = states[0].length;
// increment the count of observations:
observations += rows * columns;
// 1. Count the tuples observed
for (int r = 0; r < rows; r++) {
for (int c = 0; c < columns; c++) {
// Add to the count for this particular state:
stateCount[states[r][c]]++;
}
}
}
/**
* Add observations in to our estimates of the pdfs.
* This call suitable only for homogeneous agents, as all
* agents will contribute to single pdfs.
*
* @param states 1st index is time, 2nd and 3rd index give the 2D agent number
*/
public void addObservations(int states[][][]) {
int timeSteps = states.length;
if (timeSteps == 0) {
return;
}
int agentRows = states[0].length;
if (agentRows == 0) {
return;
}
int agentColumns = states[0][0].length;
// increment the count of observations:
observations += timeSteps * agentRows * agentColumns;
// 1. Count the tuples observed
for (int t = 0; t < timeSteps; t++) {
for (int i = 0; i < agentRows; i++) {
for (int j = 0; j < agentColumns; j++) {
// Add to the count for this particular state:
stateCount[states[t][i][j]]++;
}
}
}
}
/**
* Add observations for a single agent of the multi-agent system
* to our estimates of the pdfs.
* This call should be made as opposed to addObservations(int states[][])
* for computing active info for heterogeneous agents.
*
* @param states 1st index is time, 2nd index is agent number
* @param agentNumber
*/
public void addObservations(int states[][], int agentNumber) {
int rows = states.length;
// increment the count of observations:
observations += rows;
// 1. Count the tuples observed
for (int r = 0; r < rows; r++) {
// Add to the count for this particular state:
stateCount[states[r][agentNumber]]++;
}
}
/**
* Add observations for a single agent of the multi-agent system
* to our estimates of the pdfs.
* This call should be made as opposed to addObservations(int states[][])
* for computing active info for heterogeneous agents.
*
* @param states 1st index is time, 2nd and 3rd index give the 2D agent number
* @param agentIndex1
* @param agentIndex2
*/
public void addObservations(int states[][][], int agentIndex1, int agentIndex2) {
int timeSteps = states.length;
// increment the count of observations:
observations += timeSteps;
// 1. Count the tuples observed
for (int r = 0; r < timeSteps; r++) {
// Add to the count for this particular state:
stateCount[states[r][agentIndex1][agentIndex2]]++;
}
}
/**
*
* @param stateVal
* @return count of observations of the given state
*/
public int getStateCount(int stateVal) {
return stateCount[stateVal];
}
/**
*
* @param stateVal
* @return probability of the given state
*/
public double getStateProbability(int stateVal) {
return (double) stateCount[stateVal] / (double) observations;
}
/**
* Returns the average local entropy from
* the observed values which have been passed in previously.
*
* @return
*/
public double computeAverageLocalOfObservations() {
double ent = 0.0;
double entCont = 0.0;
max = 0;
min = 0;
for (int stateVal = 0; stateVal < base; stateVal++) {
// compute p_state
double p_state = (double) stateCount[stateVal] / (double) observations;
if (p_state > 0.0) {
// Entropy takes the negative log:
double localValue = - Math.log(p_state) / log_2;
entCont = p_state * localValue;
if (localValue > max) {
max = localValue;
} else if (localValue < min) {
min = localValue;
}
} else {
entCont = 0.0;
}
ent += entCont;
}
average = ent;
return ent;
}
/**
* Computes local entropy for the given
* states, using pdfs built up from observations previously
* sent in via the addObservations method
* This method to be used for homogeneous agents only
*
* @param states 1st index is time, 2nd index is agent number
* @return
*/
public double[][] computeLocalFromPreviousObservations(int states[][]){
int rows = states.length;
int columns = states[0].length;
// Allocate for all rows even though we may not be assigning all of them
double[][] localEntropy = new double[rows][columns];
average = 0;
max = 0;
min = 0;
for (int r = 0; r < rows; r++) {
for (int c = 0; c < columns; c++) {
double p_state = (double) stateCount[states[r][c]] / (double) observations;
// Entropy takes the negative log:
localEntropy[r][c] = - Math.log(p_state) / log_2;
average += localEntropy[r][c];
if (localEntropy[r][c] > max) {
max = localEntropy[r][c];
} else if (localEntropy[r][c] < min) {
min = localEntropy[r][c];
}
}
}
average = average/(double) (columns * rows);
return localEntropy;
}
/**
* Computes local entropy for the given
* states, using pdfs built up from observations previously
* sent in via the addObservations method
* This method to be used for homogeneous agents only
*
* @param states 1st index is time, 2nd and 3rd index are agent number
* @return
*/
public double[][][] computeLocalFromPreviousObservations(int states[][][]){
int timeSteps = states.length;
int agentRows, agentColumns;
if (timeSteps == 0) {
agentRows = 0;
agentColumns = 0;
} else {
agentRows = states[0].length;
if (agentRows == 0) {
agentColumns = 0;
} else {
agentColumns = states[0][0].length;
}
}
// Allocate for all rows even though we may not be assigning all of them
double[][][] localEntropy = new double[timeSteps][agentRows][agentColumns];
average = 0;
max = 0;
min = 0;
for (int r = 0; r < timeSteps; r++) {
for (int i = 0; i < agentRows; i++) {
for (int j = 0; j < agentColumns; j++) {
double p_state = (double) stateCount[states[r][i][j]] / (double) observations;
// Entropy takes the negative log:
localEntropy[r][i][j] = - Math.log(p_state) / log_2;
average += localEntropy[r][i][j];
if (localEntropy[r][i][j] > max) {
max = localEntropy[r][i][j];
} else if (localEntropy[r][i][j] < min) {
min = localEntropy[r][i][j];
}
}
}
}
average = average/(double) (agentRows * agentColumns * timeSteps);
return localEntropy;
}
/**
* Computes local entropy for the given
* states, using pdfs built up from observations previously
* sent in via the addObservations method
* This method is suitable for heterogeneous agents
*
* @param states
* @param agentNumber
* @return
*/
public double[] computeLocalFromPreviousObservations(int states[][], int agentNumber){
int rows = states.length;
//int columns = states[0].length;
// Allocate for all rows even though we'll leave the first ones as zeros
double[] localEntropy = new double[rows];
average = 0;
max = 0;
min = 0;
for (int r = 0; r < rows; r++) {
double p_state = (double) stateCount[states[r][agentNumber]] / (double) observations;
// Entropy takes the negative log:
localEntropy[r] = - Math.log(p_state) / log_2;
average += localEntropy[r];
if (localEntropy[r] > max) {
max = localEntropy[r];
} else if (localEntropy[r] < min) {
min = localEntropy[r];
}
}
average = average/(double) (rows);
return localEntropy;
}
/**
* Computes local entropy for the given
* states, using pdfs built up from observations previously
* sent in via the addObservations method
* This method is suitable for heterogeneous agents
*
* @param states 1st index is time, 2nd and 3rd index are agent number
* @param agentIndex1
* @param agentIndex2
* @return
*/
public double[] computeLocalFromPreviousObservations(int states[][][], int agentIndex1, int agentIndex2){
int timeSteps = states.length;
//int columns = states[0].length;
// Allocate for all rows even though we'll leave the first ones as zeros
double[] localEntropy = new double[timeSteps];
average = 0;
max = 0;
min = 0;
for (int r = 0; r < timeSteps; r++) {
double p_state = (double) stateCount[states[r][agentIndex1][agentIndex2]] / (double) observations;
// Entropy takes the negative log:
localEntropy[r] = - Math.log(p_state) / log_2;
average += localEntropy[r];
if (localEntropy[r] > max) {
max = localEntropy[r];
} else if (localEntropy[r] < min) {
min = localEntropy[r];
}
}
average = average/(double) (timeSteps);
return localEntropy;
}
/**
* Standalone routine to
* compute local information theoretic measure across a 2D spatiotemporal
* array of the states of homogeneous agents
* Return a 2D spatiotemporal array of local values.
* First history rows are zeros
*
* @param states - 2D array of states
* @return
*/
public final double[][] computeLocal(int states[][]) {
initialise();
addObservations(states);
return computeLocalFromPreviousObservations(states);
}
/**
* Standalone routine to
* compute local information theoretic measure across a 3D spatiotemporal
* array of the states of 2D homogeneous agents
* Return a 3D spatiotemporal array of local values.
* First history rows are zeros
*
* @param states 1st index is time, 2nd and 3rd index are agent number
* @return
*/
public final double[][][] computeLocal(int states[][][]) {
initialise();
addObservations(states);
return computeLocalFromPreviousObservations(states);
}
/**
* Standalone routine to
* compute average local information theoretic measure across a 2D spatiotemporal
* array of the states of homogeneous agents
* Return the average
* This method to be called for homogeneous agents only
*
* @param states - 2D array of states
* @return
*/
public final double computeAverageLocal(int states[][]) {
initialise();
addObservations(states);
return computeAverageLocalOfObservations();
}
/**
* Standalone routine to
* compute average local information theoretic measure across a 3D spatiotemporal
* array of the states of 2D homogeneous agents
* Return the average
* This method to be called for homogeneous agents only
*
* @param states 1st index is time, 2nd and 3rd index are agent number
* @return
*/
public final double computeAverageLocal(int states[][][]) {
initialise();
addObservations(states);
return computeAverageLocalOfObservations();
}
/**
* Standalone routine to
* compute local information theoretic measure for one agent in a 2D spatiotemporal
* array of the states of agents
* Return a 2D spatiotemporal array of local values.
* First history rows are zeros
* This method should be used for heterogeneous agents
*
* @param states - 2D array of states
* @param col - column number of the agent in the states array
* @return
*/
public final double[] computeLocalAtAgent(int states[][], int col) {
initialise();
addObservations(states, col);
return computeLocalFromPreviousObservations(states, col);
}
/**
* Standalone routine to
* compute local information theoretic measure for one agent in a 2D spatiotemporal
* array of the states of agents
* Return a 2D spatiotemporal array of local values.
* First history rows are zeros
* This method should be used for heterogeneous agents
*
* @param states 1st index is time, 2nd and 3rd index are agent number
* @param agentIndex1
* @param agentIndex2
* @return
*/
public final double[] computeLocalAtAgent(int states[][][], int agentIndex1, int agentIndex2) {
initialise();
addObservations(states, agentIndex1, agentIndex2);
return computeLocalFromPreviousObservations(states, agentIndex1, agentIndex2);
}
/**
* Standalone routine to
* compute average local information theoretic measure
* for a single agent
* Returns the average
* This method suitable for heterogeneous agents
* @param states - 2D array of states
* @param col - column number of the agent in the states array
*
* @return
*/
public final double computeAverageLocalAtAgent(int states[][], int col) {
initialise();
addObservations(states, col);
return computeAverageLocalOfObservations();
}
/**
* Standalone routine to
* compute average local information theoretic measure
* for a single agent
* Returns the average
* This method suitable for heterogeneous agents
* @param states - 2D array of states
* @param agentIndex1
* @param agentIndex2
*
* @return
*/
public final double computeAverageLocalAtAgent(int states[][][], int agentIndex1, int agentIndex2) {
initialise();
addObservations(states, agentIndex1, agentIndex2);
return computeAverageLocalOfObservations();
}
}