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a9b6b3e77c | |
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3d1f3fec86 |
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@ -48,8 +48,11 @@ Theory' (John Wiley & Sons, New York, 1991).</li>
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*/
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public interface EntropyCalculator extends InfoMeasureCalculatorContinuous {
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// TODO Add addObservations() methods for entropy calculator
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// TODO Add addObservations() methods for entropy calculator.
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// It's currently in EntropyCalculatorMultivariate; bring in
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// here when we make all univariate entropy calculators use their
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// underlying multivariate form.
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/**
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* Sets the samples from which to compute the PDF for the entropy.
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* Should only be called once, the last call contains the
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@ -61,6 +61,26 @@ public interface EntropyCalculatorMultiVariate
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* Property name for the number of dimensions
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*/
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public static final String NUM_DIMENSIONS_PROP_NAME = "NUM_DIMENSIONS";
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/**
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* Property for whether we normalise the incoming observations to mean 0,
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* standard deviation 1.
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*/
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public static final String NORMALISE_PROP_NAME = "NORMALISE";
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/**
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* Property name for an amount of random Gaussian noise to be
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* added to the data (default is 1e-8, matching the MILCA toolkit).
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*/
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public static final String PROP_ADD_NOISE = "NOISE_LEVEL_TO_ADD";
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/**
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* Property name for the seed for the random number generator for noise to be
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* added to the data (default is no seed)
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*/
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public static final String PROP_NOISE_SEED = "NOISE_SEED";
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/**
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* Property value to indicate no seed for the random number generator for noise to be
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* added to the data
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*/
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public static final String NOISE_NO_SEED_VALUE = "NONE";
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/**
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* Set properties for the underlying calculator implementation.
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@ -72,6 +92,20 @@ public interface EntropyCalculatorMultiVariate
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* <ul>
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* <li>{@link #NUM_DIMENSIONS_PROP_NAME} -- number of dimensions in the joint
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* variable that we are computing the entropy of.</li>
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* <li>{@link #NORMALISE_PROP_NAME} -- whether to normalise the incoming variable values
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* to mean 0, standard deviation 1, or not (default false). Sets {@link #normalise}.</li>
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* <li>{@link #PROP_ADD_NOISE} -- a standard deviation for an amount of
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* random Gaussian noise to add to
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* each variable, to avoid having neighbourhoods with artificially
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* large counts. (We also accept "false" to indicate "0".)
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* The amount is added in after any normalisation,
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* so can be considered as a number of standard deviations of the data.
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* Default is 0 for most estimators; this is strongly recommended by
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* by Kraskov for the KSG method though, so for the Kozachenko estimator we
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* use 1e-8 to match the MILCA toolkit (though note it adds in
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* a random amount of noise in [0,noiseLevel) ).</li>
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* <li>{@link #PROP_NOISE_SEED} -- a long value seed for the random noise generator or
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* the string {@link MutualInfoCalculatorMultiVariate#NOISE_NO_SEED_VALUE} for no seed (default)</li>
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* </ul>
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*
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* <p>Unknown property values are ignored.</p>
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@ -94,6 +128,46 @@ public interface EntropyCalculatorMultiVariate
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*/
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public void initialise(int dimensions);
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/**
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* Signal that we will add in the samples for computing the PDF
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* from several disjoint time-series or trials via calls to
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* "addObservations" rather than "setObservations" type methods
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* (defined by the child interfaces and classes).
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*/
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public void startAddObservations();
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/**
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* Add more observations for which to compute the PDFs for the entropy.
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* May be called multiple times between {@link #startAddObservations()} and
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* {@link #finaliseAddObservations()}.
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*
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* @param observations multivariate time series of observations; first index
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* is time step, second index is variable number (total should match dimensions
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* supplied to {@link #initialise(int)}
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* @throws Exception if the dimensions of the observations do not match
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* the expected value supplied in {@link #initialise(int)}; implementations
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* may throw other more specific exceptions also.
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*/
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public void addObservations(double[][] observations) throws Exception;
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/**
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* Add more samples from which to compute the PDF for the entropy.
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* Only allowed to be called when set up for dimension == 1.
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* May be called multiple times between {@link #startAddObservations()} and
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* {@link #finaliseAddObservations()}.
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*
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* @param observations array of (univariate) samples
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* @throws Exception if the expected dimensions were not 1.
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*/
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public void addObservations(double[] observations) throws Exception;
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/**
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* Signal that the observations are now all added, PDFs can now be constructed.
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*
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* @throws Exception
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*/
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public void finaliseAddObservations() throws Exception;
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/**
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* Set the observations for which to compute the PDFs for the entropy
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* Should only be called once, the last call contains the
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@ -0,0 +1,342 @@
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/*
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* Java Information Dynamics Toolkit (JIDT)
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* Copyright (C) 2024, Joseph T. Lizier
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*
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* This program is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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package infodynamics.measures.continuous;
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import java.util.Random;
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import java.util.Vector;
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import infodynamics.utils.MatrixUtils;
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/**
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* Implements {@link EntropyCalculatorMultiVariate} to provide a base
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* class with common functionality for child class implementations of
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* {@link EntropyCalculatorMultiVariate}
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* via various estimators.
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*
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* <p>These various estimators include: e.g. box-kernel estimation, Kozachenko, etc
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* (see the child classes linked above).
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* </p>
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*
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* <p>Usage is as outlined in {@link EntropyCalculatorMultiVariate}.</p>
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*
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* @author Joseph Lizier (<a href="joseph.lizier at gmail.com">email</a>,
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* <a href="http://lizier.me/joseph/">www</a>)
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*/
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public abstract class EntropyCalculatorMultiVariateCommon implements EntropyCalculatorMultiVariate {
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/**
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* Whether we're in debug mode
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*/
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protected boolean debug = false;
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/**
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* Number of observations supplied
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*/
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protected int totalObservations = 0;
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/**
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* Number of joint variables/dimensions
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*/
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protected int dimensions = 1;
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/**
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* Track whether we've computed the average for the supplied
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* observations yet
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*/
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protected boolean isComputed = false;
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/**
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* Last computed average entropy
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*/
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protected double lastAverage = 0.0;
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/**
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* Whether we normalise the incoming observations to mean 0,
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* standard deviation 1.
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*/
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protected boolean normalise = true;
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/**
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* Whether to add an amount of random noise to the incoming data
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*/
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protected boolean addNoise = false;
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/**
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* Amount of random Gaussian noise to add to the incoming data
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*/
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protected double noiseLevel = (double) 0.0;
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/**
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* Has the user set a seed for the random noise
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*/
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protected boolean noiseSeedSet = false;
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/**
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* Seed that the user set for the random noise
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*/
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protected long noiseSeed = 0;
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/**
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* Storage for observations supplied via {@link #addObservations(double[][])}
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* type calls
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*/
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protected Vector<double[][]> vectorOfObservations;
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/**
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* The set of observations, retained in case the user wants to retrieve the local
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* entropy values of these.
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*/
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protected double[][] observations;
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/**
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* Default constructor
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*/
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public EntropyCalculatorMultiVariateCommon() {
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// Nothing to do
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}
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@Override
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public void initialise() throws Exception {
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initialise(dimensions);
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}
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@Override
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public void initialise(int dimensions) {
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this.dimensions = dimensions;
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observations = null;
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totalObservations = 0;
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isComputed = false;
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lastAverage = 0;
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}
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@Override
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public void setProperty(String propertyName, String propertyValue) throws Exception {
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boolean propertySet = true;
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if (propertyName.equalsIgnoreCase(NUM_DIMENSIONS_PROP_NAME)) {
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dimensions = Integer.parseInt(propertyValue);
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} else if (propertyName.equalsIgnoreCase(NORMALISE_PROP_NAME)) {
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normalise = Boolean.parseBoolean(propertyValue);
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} else if (propertyName.equalsIgnoreCase(PROP_ADD_NOISE)) {
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if (propertyValue.equals("0") ||
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propertyValue.equalsIgnoreCase("false")) {
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addNoise = false;
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noiseLevel = 0;
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} else {
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addNoise = true;
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noiseLevel = Double.parseDouble(propertyValue);
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}
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} else if (propertyName.equalsIgnoreCase(PROP_NOISE_SEED)) {
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if (propertyValue.equals(NOISE_NO_SEED_VALUE)) {
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noiseSeedSet = false;
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} else {
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noiseSeedSet = true;
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noiseSeed = Long.parseLong(propertyValue);
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}
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} else {
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// No property was set
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propertySet = false;
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}
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if (debug && propertySet) {
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System.out.println(this.getClass().getSimpleName() + ": Set property " + propertyName +
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" to " + propertyValue);
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}
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}
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@Override
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public String getProperty(String propertyName) throws Exception {
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if (propertyName.equalsIgnoreCase(NUM_DIMENSIONS_PROP_NAME)) {
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return Integer.toString(dimensions);
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} else if (propertyName.equalsIgnoreCase(NORMALISE_PROP_NAME)) {
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return Boolean.toString(normalise);
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} else if (propertyName.equalsIgnoreCase(PROP_ADD_NOISE)) {
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return Double.toString(noiseLevel);
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} else if (propertyName.equalsIgnoreCase(PROP_NOISE_SEED)) {
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if (noiseSeedSet) {
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return Long.toString(noiseSeed);
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} else {
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return NOISE_NO_SEED_VALUE;
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}
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} else {
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// No property was set, and no superclass to call:
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return null;
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}
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}
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@Override
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public void startAddObservations() {
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isComputed = false;
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totalObservations = 0;
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observations = null;
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vectorOfObservations = new Vector<double[][]>();
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}
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@Override
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public void finaliseAddObservations() throws Exception {
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observations = new double[totalObservations][dimensions];
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// Construct the joint vectors from the given observations
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int startObservation = 0;
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for (double[][] obs : vectorOfObservations) {
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if ((obs == null) || (obs.length < 1)) {
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continue;
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}
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// Dimension was checked earlier by addObservations.
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// Copy the data from these given observations into our master array
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MatrixUtils.arrayCopy(obs, 0, 0,
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observations, startObservation, 0,
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obs.length, dimensions);
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startObservation += obs.length;
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}
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// We don't need to keep the vector of observation sets anymore:
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vectorOfObservations = null;
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if (addNoise) {
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Random random = new Random();
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if (noiseSeedSet) {
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random.setSeed(noiseSeed);
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}
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// Add Gaussian noise of std dev noiseLevel to the data
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for (int r = 0; r < totalObservations; r++) {
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for (int c = 0; c < dimensions; c++) {
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observations[r][c] += random.nextGaussian()*noiseLevel;
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}
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}
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}
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}
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@Override
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public void setObservations(double[][] observations) throws Exception {
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startAddObservations();
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addObservations(observations);
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finaliseAddObservations();
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}
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/*
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* (non-Javadoc)
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* @see infodynamics.measures.continuous.EntropyCalculator#setObservations(double[])
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*
|
||||
* This method here to ensure we make compatibility with the
|
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* EntropyCalculator interface; only valid if dimension > 1
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*/
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@Override
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public void setObservations(double[] observations) throws Exception {
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startAddObservations();
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addObservations(observations);
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finaliseAddObservations();
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}
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/**
|
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* Shortcut method to join two sets of samples into a joint multivariate
|
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*
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* Each row of the data is an observation; each column of
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* the row is a new variable in the multivariate observation.
|
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* This method signature allows the user to call setObservations for
|
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* joint time series without combining them into a single joint time
|
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* series (we do the combining for them).
|
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*
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* @param data1 observations1 few variables in the joint data
|
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* @param observations2 the other variables in the joint data
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* @throws Exception When the length of the two arrays of observations do not match.
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* @see #setObservations(double[][])
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*/
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@Deprecated
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public void setObservations(double[][] observations1, double[][] observations2)
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throws Exception {
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startAddObservations();
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addObservations(observations1, observations2);
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finaliseAddObservations();
|
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}
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@Override
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public void addObservations(double[][] observations) throws Exception {
|
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if (vectorOfObservations == null) {
|
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// startAddObservations was not called first
|
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throw new RuntimeException("User did not call startAddObservations before addObservations");
|
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}
|
||||
if ((observations != null) && (observations.length > 0)) {
|
||||
// Check the dimension:
|
||||
if (observations[0].length != dimensions) {
|
||||
throw new Exception(String.format("Cannot supply observations with dimension %d when expected dimension = %d",
|
||||
observations[0].length, dimensions));
|
||||
}
|
||||
totalObservations += observations.length;
|
||||
}
|
||||
// Add the observations whether empty or else valid:
|
||||
vectorOfObservations.add(observations);
|
||||
}
|
||||
|
||||
/*
|
||||
* (non-Javadoc)
|
||||
* @see infodynamics.measures.continuous.EntropyCalculator#addObservations(double[])
|
||||
*
|
||||
* This method here to ensure we make compatibility with the
|
||||
* EntropyCalculator interface; only valid if dimension > 1
|
||||
*/
|
||||
@Override
|
||||
public void addObservations(double[] observations) throws Exception {
|
||||
if (dimensions != 1) {
|
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throw new Exception(String.format("Cannot set univariate observations when expected dimension = %d", dimensions));
|
||||
}
|
||||
double[][] observations2D = MatrixUtils.reshape(observations, observations.length, 1);
|
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addObservations(observations2D);
|
||||
}
|
||||
|
||||
/**
|
||||
* Shortcut method to join two sets of samples into a joint multivariate.
|
||||
*
|
||||
* Each row of the data is an observation; each column of
|
||||
* the row is a new variable in the multivariate observation.
|
||||
* This method signature allows the user to call addObservations for
|
||||
* joint time series without combining them into a single joint time
|
||||
* series (we do the combining for them).
|
||||
*
|
||||
* @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 #addObservations(double[][])
|
||||
*/
|
||||
@Deprecated
|
||||
public void addObservations(double[][] data1,
|
||||
double[][] data2) throws Exception {
|
||||
int timeSteps = data1.length;
|
||||
if ((data1 == null) || (data2 == null)) {
|
||||
throw new Exception("Cannot have null data arguments");
|
||||
}
|
||||
if (data1.length != data2.length) {
|
||||
throw new Exception("Length of data1 (" + data1.length + ") is not equal to the length of data2 (" +
|
||||
data2.length + ")");
|
||||
}
|
||||
int data1Variables = data1[0].length;
|
||||
int data2Variables = data2[0].length;
|
||||
double[][] data = new double[timeSteps][data1Variables + data2Variables];
|
||||
for (int t = 0; t < timeSteps; t++) {
|
||||
System.arraycopy(data1[t], 0, data[t], 0, data1Variables);
|
||||
System.arraycopy(data2[t], 0, data[t], data1Variables, data2Variables);
|
||||
}
|
||||
// Now defer to the normal setObservations method
|
||||
addObservations(data);
|
||||
}
|
||||
|
||||
@Override
|
||||
public int getNumObservations() throws Exception {
|
||||
return totalObservations;
|
||||
}
|
||||
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||||
@Override
|
||||
public double getLastAverage() {
|
||||
return lastAverage;
|
||||
}
|
||||
|
||||
@Override
|
||||
public void setDebug(boolean debug) {
|
||||
this.debug = debug;
|
||||
}
|
||||
|
||||
}
|
||||
|
|
@ -19,6 +19,7 @@
|
|||
package infodynamics.measures.continuous.gaussian;
|
||||
|
||||
import infodynamics.measures.continuous.EntropyCalculatorMultiVariate;
|
||||
import infodynamics.measures.continuous.EntropyCalculatorMultiVariateCommon;
|
||||
import infodynamics.utils.MatrixUtils;
|
||||
|
||||
/**
|
||||
|
|
@ -50,6 +51,7 @@ Theory' (John Wiley & Sons, New York, 1991).</li>
|
|||
* <a href="http://lizier.me/joseph/">www</a>)
|
||||
*/
|
||||
public class EntropyCalculatorMultiVariateGaussian
|
||||
extends EntropyCalculatorMultiVariateCommon
|
||||
implements EntropyCalculatorMultiVariate, Cloneable {
|
||||
|
||||
/**
|
||||
|
|
@ -63,84 +65,34 @@ public class EntropyCalculatorMultiVariateGaussian
|
|||
*/
|
||||
protected double[] means;
|
||||
|
||||
/**
|
||||
* The set of observations, retained in case the user wants to retrieve the local
|
||||
* entropy values of these
|
||||
*/
|
||||
protected double[][] observations;
|
||||
|
||||
/**
|
||||
* Number of dimensions for our multivariate data
|
||||
*/
|
||||
protected int dimensions = 1;
|
||||
|
||||
/**
|
||||
* Determinant of the covariance matrix; stored to save computation time
|
||||
*/
|
||||
protected double detCovariance = 0.0;
|
||||
|
||||
/**
|
||||
* Last average entropy we computed
|
||||
*/
|
||||
protected double lastAverage = 0;
|
||||
|
||||
/**
|
||||
* Whether we are in debug mode
|
||||
*/
|
||||
protected boolean debug = false;
|
||||
|
||||
/**
|
||||
* Construct an instance
|
||||
*/
|
||||
public EntropyCalculatorMultiVariateGaussian() {
|
||||
// Nothing to do
|
||||
super();
|
||||
}
|
||||
|
||||
@Override
|
||||
public void initialise() throws Exception {
|
||||
initialise(dimensions);
|
||||
}
|
||||
|
||||
public void initialise(int dimensions) {
|
||||
super.initialise(dimensions);
|
||||
means = null;
|
||||
L = null;
|
||||
observations = null;
|
||||
this.dimensions = dimensions;
|
||||
detCovariance = 0;
|
||||
lastAverage = 0.0;
|
||||
}
|
||||
|
||||
/**
|
||||
* @throws Exception where the observations do not match the expected number of
|
||||
* dimensions, or covariance matrix is not positive definite (reflecting
|
||||
* redundant variables in the observations)
|
||||
*/
|
||||
@Override
|
||||
public void setObservations(double[][] observations) throws Exception {
|
||||
// Check that the observations was of the correct number of dimensions:
|
||||
if (observations[0].length != dimensions) {
|
||||
means = null;
|
||||
L = null;
|
||||
throw new Exception("Supplied observations does not match initialised number of dimensions");
|
||||
}
|
||||
public void finaliseAddObservations() throws Exception {
|
||||
super.finaliseAddObservations();
|
||||
means = MatrixUtils.means(observations);
|
||||
double[][] originalObservations = observations; // Keep a reference as below
|
||||
setCovariance(MatrixUtils.covarianceMatrix(observations, means));
|
||||
// And keep a reference to the observations used here (must set this
|
||||
// *after* setCovariance, since setCovariance sets the observations to null
|
||||
this.observations = observations;
|
||||
}
|
||||
|
||||
/**
|
||||
* @throws Exception where the observations do not match the expected number of
|
||||
* dimensions, or covariance matrix is not positive definite (reflecting
|
||||
* redundant variables in the observations)
|
||||
*/
|
||||
@Override
|
||||
public void setObservations(double[] observations) throws Exception {
|
||||
if (dimensions != 1) {
|
||||
throw new Exception(String.format("Cannot set univariate observations when expected dimension = %d", dimensions));
|
||||
}
|
||||
setObservations(MatrixUtils.reshape(observations, observations.length, 1));
|
||||
observations = originalObservations;
|
||||
}
|
||||
|
||||
/**
|
||||
|
|
@ -209,49 +161,45 @@ public class EntropyCalculatorMultiVariateGaussian
|
|||
*/
|
||||
@Override
|
||||
public double computeAverageLocalOfObservations() {
|
||||
if (isComputed) {
|
||||
return lastAverage;
|
||||
}
|
||||
// Simple way:
|
||||
// detCovariance = MatrixUtils.determinantSymmPosDefMatrix(covariance);
|
||||
// Using cached Cholesky decomposition:
|
||||
detCovariance = MatrixUtils.determinantViaCholeskyResult(L);
|
||||
lastAverage = 0.5 * (dimensions* (1 + Math.log(2.0*Math.PI)) +
|
||||
Math.log(detCovariance));
|
||||
isComputed = true;
|
||||
return lastAverage;
|
||||
}
|
||||
|
||||
@Override
|
||||
public void setDebug(boolean debug) {
|
||||
this.debug = debug;
|
||||
}
|
||||
|
||||
/**
|
||||
* <p>Set properties for this calculator.
|
||||
* New property values are not guaranteed to take effect until the next call
|
||||
* to an initialise method.
|
||||
*
|
||||
* <p>Valid property names, and what their
|
||||
* values should represent, include:</p>
|
||||
* <ul>
|
||||
* <li>{@link #NORMALISE_PROP_NAME} as per {@link EntropyCalculatorMultiVariate#setProperty()}
|
||||
* however note that for this Gaussian estimator setting this to true would fix the entropy
|
||||
* values.</li>
|
||||
* <li>any valid properties for {@link EntropyCalculatorMultiVariate#setProperty(String, String)}.</li>
|
||||
* </ul>
|
||||
*
|
||||
* <p>Unknown property values are ignored.</p>
|
||||
*
|
||||
* @param propertyName name of the property
|
||||
* @param propertyValue value of the property
|
||||
* @throws Exception for invalid property values
|
||||
*/
|
||||
@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 {
|
||||
// No property was set
|
||||
propertySet = false;
|
||||
}
|
||||
if (debug && propertySet) {
|
||||
System.out.println(this.getClass().getSimpleName() + ": Set property " + propertyName +
|
||||
" to " + propertyValue);
|
||||
}
|
||||
}
|
||||
|
||||
@Override
|
||||
public String getProperty(String propertyName) throws Exception {
|
||||
if (propertyName.equalsIgnoreCase(NUM_DIMENSIONS_PROP_NAME)) {
|
||||
return Integer.toString(dimensions);
|
||||
} else {
|
||||
// No property was set, and no superclass to call:
|
||||
return null;
|
||||
}
|
||||
}
|
||||
|
||||
@Override
|
||||
public double getLastAverage() {
|
||||
return lastAverage;
|
||||
// Actually don't need to implement this method, but want
|
||||
// the javadocs to get generated to warn user about the normalise property.
|
||||
super.setProperty(propertyName, propertyValue);
|
||||
}
|
||||
|
||||
/**
|
||||
|
|
@ -316,9 +264,13 @@ public class EntropyCalculatorMultiVariateGaussian
|
|||
if (observations == null) {
|
||||
throw new Exception("Cannot compute local values since no observations were supplied");
|
||||
}
|
||||
return computeLocalUsingPreviousObservations(observations);
|
||||
double[] localValues = computeLocalUsingPreviousObservations(observations);
|
||||
lastAverage = MatrixUtils.mean(localValues);
|
||||
isComputed = true;
|
||||
return localValues;
|
||||
}
|
||||
|
||||
@Override
|
||||
public int getNumObservations() throws Exception {
|
||||
if (observations == null) {
|
||||
throw new Exception("Cannot return number of observations because either " +
|
||||
|
|
|
|||
|
|
@ -19,7 +19,7 @@
|
|||
package infodynamics.measures.continuous.kernel;
|
||||
|
||||
import infodynamics.measures.continuous.EntropyCalculatorMultiVariate;
|
||||
import infodynamics.utils.MatrixUtils;
|
||||
import infodynamics.measures.continuous.EntropyCalculatorMultiVariateCommon;
|
||||
|
||||
/**
|
||||
* <p>Computes the differential entropy of a given set of observations
|
||||
|
|
@ -44,42 +44,13 @@ import infodynamics.utils.MatrixUtils;
|
|||
* @author Joseph Lizier (<a href="joseph.lizier at gmail.com">email</a>,
|
||||
* <a href="http://lizier.me/joseph/">www</a>)
|
||||
*/
|
||||
public class EntropyCalculatorMultiVariateKernel implements EntropyCalculatorMultiVariate {
|
||||
public class EntropyCalculatorMultiVariateKernel
|
||||
extends EntropyCalculatorMultiVariateCommon
|
||||
implements EntropyCalculatorMultiVariate
|
||||
{
|
||||
|
||||
private KernelEstimatorMultiVariate mvke = null;
|
||||
/**
|
||||
* Number of observations supplied
|
||||
*/
|
||||
private int totalObservations = 0;
|
||||
// private int dimensions = 0;
|
||||
/**
|
||||
* Whether we're in debug mode
|
||||
*/
|
||||
private boolean debug = false;
|
||||
/**
|
||||
* The supplied observations
|
||||
*/
|
||||
private double[][] observations = null;
|
||||
/**
|
||||
* Last computed average entropy
|
||||
*/
|
||||
private double lastEntropy;
|
||||
/**
|
||||
* Whether we normalise the incoming observations to mean 0,
|
||||
* standard deviation 1.
|
||||
*/
|
||||
private boolean normalise = true;
|
||||
/**
|
||||
* Property for whether we normalise the incoming observations to mean 0,
|
||||
* standard deviation 1.
|
||||
*/
|
||||
public static final String NORMALISE_PROP_NAME = "NORMALISE";
|
||||
|
||||
/**
|
||||
* Number of joint variables/dimensions
|
||||
*/
|
||||
protected int dimensions = 1;
|
||||
|
||||
/**
|
||||
* Default value for kernel width
|
||||
*/
|
||||
|
|
@ -101,15 +72,10 @@ public class EntropyCalculatorMultiVariateKernel implements EntropyCalculatorMul
|
|||
* Construct an instance
|
||||
*/
|
||||
public EntropyCalculatorMultiVariateKernel() {
|
||||
super();
|
||||
mvke = new KernelEstimatorMultiVariate();
|
||||
mvke.setDebug(debug);
|
||||
mvke.setNormalise(normalise);
|
||||
lastEntropy = 0.0;
|
||||
}
|
||||
|
||||
@Override
|
||||
public void initialise() throws Exception {
|
||||
initialise(dimensions);
|
||||
}
|
||||
|
||||
public void initialise(int dimensions) {
|
||||
|
|
@ -128,34 +94,22 @@ public class EntropyCalculatorMultiVariateKernel implements EntropyCalculatorMul
|
|||
* standard deviations from the mean (otherwise it is an absolute value)
|
||||
*/
|
||||
public void initialise(int dimensions, double kernelWidth) {
|
||||
super.initialise(dimensions);
|
||||
this.kernelWidth = kernelWidth;
|
||||
this.dimensions = dimensions;
|
||||
mvke.initialise(dimensions, kernelWidth);
|
||||
// this.dimensions = dimensions;
|
||||
lastEntropy = 0.0;
|
||||
}
|
||||
|
||||
@Override
|
||||
public void setObservations(double observations[][]) {
|
||||
public void finaliseAddObservations() throws Exception {
|
||||
super.finaliseAddObservations();
|
||||
mvke.setObservations(observations);
|
||||
totalObservations = observations.length;
|
||||
this.observations = observations;
|
||||
}
|
||||
|
||||
/**
|
||||
* @throws Exception where the observations do not match the expected number of
|
||||
* dimensions
|
||||
*/
|
||||
@Override
|
||||
public void setObservations(double[] observations) throws Exception {
|
||||
if (dimensions != 1) {
|
||||
throw new Exception(String.format("Cannot set univariate observations when expected dimension = %d", dimensions));
|
||||
}
|
||||
setObservations(MatrixUtils.reshape(observations, observations.length, 1));
|
||||
}
|
||||
|
||||
@Override
|
||||
public double computeAverageLocalOfObservations() {
|
||||
if (isComputed) {
|
||||
return lastAverage;
|
||||
}
|
||||
double entropy = 0.0;
|
||||
for (int b = 0; b < totalObservations; b++) {
|
||||
double prob = mvke.getProbability(observations[b]);
|
||||
|
|
@ -165,8 +119,9 @@ public class EntropyCalculatorMultiVariateKernel implements EntropyCalculatorMul
|
|||
System.out.println(b + ": " + prob + " -> " + (-cont/Math.log(2.0)) + " -> sum: " + (entropy/Math.log(2.0)));
|
||||
}
|
||||
}
|
||||
lastEntropy = entropy / (double) totalObservations / Math.log(2.0);
|
||||
return lastEntropy;
|
||||
lastAverage = entropy / (double) totalObservations / Math.log(2.0);
|
||||
isComputed = true;
|
||||
return lastAverage;
|
||||
}
|
||||
|
||||
@Override
|
||||
|
|
@ -204,22 +159,18 @@ public class EntropyCalculatorMultiVariateKernel implements EntropyCalculatorMul
|
|||
}
|
||||
entropy = entropy / (double) totalObservations / Math.log(2.0); // Don't use /= as I'm not sure of the order of operations it applies.
|
||||
if (isPreviousObservations) {
|
||||
lastEntropy = entropy;
|
||||
lastAverage = entropy;
|
||||
isComputed = true;
|
||||
}
|
||||
return localEntropy;
|
||||
}
|
||||
|
||||
@Override
|
||||
public void setDebug(boolean debug) {
|
||||
this.debug = debug;
|
||||
super.setDebug(debug);
|
||||
mvke.setDebug(debug);
|
||||
}
|
||||
|
||||
@Override
|
||||
public double getLastAverage() {
|
||||
return lastEntropy;
|
||||
}
|
||||
|
||||
/**
|
||||
* <p>Set properties for the kernel entropy calculator.
|
||||
* New property values are not guaranteed to take effect until the next call
|
||||
|
|
@ -232,8 +183,6 @@ public class EntropyCalculatorMultiVariateKernel implements EntropyCalculatorMul
|
|||
* kernel width to be used in the calculation. If {@link #normalise} is set,
|
||||
* then this is a number of standard deviations; otherwise it
|
||||
* is an absolute value. Default is {@link #DEFAULT_KERNEL_WIDTH}.</li>
|
||||
* <li>{@link #NORMALISE_PROP_NAME} -- whether to normalise the incoming variable values
|
||||
* to mean 0, standard deviation 1, or not (default false). Sets {@link #normalise}.</li>
|
||||
* <li>any valid properties for {@link EntropyCalculatorMultiVariate#setProperty(String, String)}.</li>
|
||||
* </ul>
|
||||
*
|
||||
|
|
@ -254,14 +203,15 @@ public class EntropyCalculatorMultiVariateKernel implements EntropyCalculatorMul
|
|||
if (propertyName.equalsIgnoreCase(KERNEL_WIDTH_PROP_NAME) ||
|
||||
propertyName.equalsIgnoreCase(EPSILON_PROP_NAME)) {
|
||||
kernelWidth = Double.parseDouble(propertyValue);
|
||||
} else if (propertyName.equalsIgnoreCase(NORMALISE_PROP_NAME)) {
|
||||
normalise = Boolean.parseBoolean(propertyValue);
|
||||
mvke.setNormalise(normalise);
|
||||
} else if (propertyName.equalsIgnoreCase(NUM_DIMENSIONS_PROP_NAME)) {
|
||||
dimensions = Integer.parseInt(propertyValue);
|
||||
} else {
|
||||
// No property was set
|
||||
propertySet = false;
|
||||
// try the superclass:
|
||||
super.setProperty(propertyName, propertyValue);
|
||||
if (propertyName.equalsIgnoreCase(NORMALISE_PROP_NAME)) {
|
||||
// Handle an additional step for this one:
|
||||
mvke.setNormalise(normalise);
|
||||
}
|
||||
}
|
||||
if (debug && propertySet) {
|
||||
System.out.println(this.getClass().getSimpleName() + ": Set property " + propertyName +
|
||||
|
|
@ -274,19 +224,10 @@ public class EntropyCalculatorMultiVariateKernel implements EntropyCalculatorMul
|
|||
if (propertyName.equalsIgnoreCase(KERNEL_WIDTH_PROP_NAME) ||
|
||||
propertyName.equalsIgnoreCase(EPSILON_PROP_NAME)) {
|
||||
return Double.toString(kernelWidth);
|
||||
} else if (propertyName.equalsIgnoreCase(NORMALISE_PROP_NAME)) {
|
||||
return Boolean.toString(normalise);
|
||||
} else if (propertyName.equalsIgnoreCase(NUM_DIMENSIONS_PROP_NAME)) {
|
||||
return Integer.toString(dimensions);
|
||||
} else {
|
||||
// No property was set, and no superclass to call:
|
||||
return null;
|
||||
// try the superclass:
|
||||
return super.getProperty(propertyName);
|
||||
}
|
||||
}
|
||||
|
||||
@Override
|
||||
public int getNumObservations() throws Exception {
|
||||
return totalObservations;
|
||||
}
|
||||
|
||||
}
|
||||
|
|
|
|||
|
|
@ -18,13 +18,10 @@
|
|||
|
||||
package infodynamics.measures.continuous.kozachenko;
|
||||
|
||||
import java.util.Random;
|
||||
import java.util.Vector;
|
||||
|
||||
import infodynamics.measures.continuous.EntropyCalculatorMultiVariate;
|
||||
import infodynamics.measures.continuous.EntropyCalculatorMultiVariateCommon;
|
||||
import infodynamics.utils.EuclideanUtils;
|
||||
import infodynamics.utils.MathsUtils;
|
||||
import infodynamics.utils.MatrixUtils;
|
||||
|
||||
/**
|
||||
* <p>Computes the differential entropy of a given set of observations
|
||||
|
|
@ -59,59 +56,11 @@ import infodynamics.utils.MatrixUtils;
|
|||
* @author Joseph Lizier (<a href="joseph.lizier at gmail.com">email</a>,
|
||||
* <a href="http://lizier.me/joseph/">www</a>)
|
||||
*/
|
||||
public class EntropyCalculatorMultiVariateKozachenko
|
||||
public class EntropyCalculatorMultiVariateKozachenko
|
||||
extends EntropyCalculatorMultiVariateCommon
|
||||
implements EntropyCalculatorMultiVariate {
|
||||
|
||||
/**
|
||||
* 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 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
|
||||
*/
|
||||
|
|
@ -121,171 +70,9 @@ public class EntropyCalculatorMultiVariateKozachenko
|
|||
* Construct an instance
|
||||
*/
|
||||
public EntropyCalculatorMultiVariateKozachenko() {
|
||||
totalObservations = 0;
|
||||
isComputed = false;
|
||||
lastLocalEntropy = null;
|
||||
}
|
||||
|
||||
@Override
|
||||
public void initialise() throws Exception {
|
||||
initialise(dimensions);
|
||||
}
|
||||
|
||||
public void initialise(int dimensions) {
|
||||
this.dimensions = dimensions;
|
||||
rawData = null;
|
||||
totalObservations = 0;
|
||||
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, and no superclass to call.
|
||||
propertySet = false;
|
||||
}
|
||||
if (debug && propertySet) {
|
||||
System.out.println(this.getClass().getSimpleName() + ": Set property " + propertyName +
|
||||
" to " + propertyValue);
|
||||
}
|
||||
}
|
||||
|
||||
@Override
|
||||
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.
|
||||
return null;
|
||||
}
|
||||
}
|
||||
|
||||
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[])
|
||||
*
|
||||
* This method here to ensure we make compatibility with the
|
||||
* EntropyCalculator interface.
|
||||
*/
|
||||
@Override
|
||||
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);
|
||||
addObservations(rawData);
|
||||
}
|
||||
|
||||
/**
|
||||
* Each row of the data is an observation; each column of
|
||||
* the row is a new variable in the multivariate observation.
|
||||
* This method signature allows the user to call setObservations for
|
||||
* joint time series without combining them into a single joint time
|
||||
* series (we do the combining for them).
|
||||
*
|
||||
* @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 #addObservations(double[][])
|
||||
*/
|
||||
public void addObservations(double[][] data1,
|
||||
double[][] data2) throws Exception {
|
||||
int timeSteps = data1.length;
|
||||
if ((data1 == null) || (data2 == null)) {
|
||||
throw new Exception("Cannot have null data arguments");
|
||||
}
|
||||
if (data1.length != data2.length) {
|
||||
throw new Exception("Length of data1 (" + data1.length + ") is not equal to the length of data2 (" +
|
||||
data2.length + ")");
|
||||
}
|
||||
int data1Variables = data1[0].length;
|
||||
int data2Variables = data2[0].length;
|
||||
double[][] data = new double[timeSteps][data1Variables + data2Variables];
|
||||
for (int t = 0; t < timeSteps; t++) {
|
||||
System.arraycopy(data1[t], 0, data[t], 0, data1Variables);
|
||||
System.arraycopy(data2[t], 0, data[t], data1Variables, data2Variables);
|
||||
}
|
||||
// Now defer to the normal setObservations method
|
||||
addObservations(data);
|
||||
super();
|
||||
noiseLevel = (double) 1e-8; // Default to align with KSG estimators
|
||||
addNoise = true;
|
||||
}
|
||||
|
||||
/**
|
||||
|
|
@ -298,12 +85,12 @@ public class EntropyCalculatorMultiVariateKozachenko
|
|||
}
|
||||
double sdTermHere = sdTerm(totalObservations, dimensions);
|
||||
double emConstHere = eulerMascheroniTerm(totalObservations);
|
||||
double[] minDistance = EuclideanUtils.computeMinEuclideanDistances(rawData);
|
||||
double[] minDistance = EuclideanUtils.computeMinEuclideanDistances(observations);
|
||||
double entropy = 0.0;
|
||||
if (debug) {
|
||||
System.out.println("t,\tminDist,\tlogMinDist,\tsum");
|
||||
}
|
||||
for (int t = 0; t < rawData.length; t++) {
|
||||
for (int t = 0; t < observations.length; t++) {
|
||||
entropy += Math.log(2.0 * minDistance[t]);
|
||||
if (debug) {
|
||||
System.out.println(t + ",\t" +
|
||||
|
|
@ -332,21 +119,18 @@ public class EntropyCalculatorMultiVariateKozachenko
|
|||
*/
|
||||
@Override
|
||||
public double[] computeLocalOfPreviousObservations() {
|
||||
if (lastLocalEntropy != null) {
|
||||
return lastLocalEntropy;
|
||||
}
|
||||
|
||||
double sdTermHere = sdTerm(totalObservations, dimensions);
|
||||
double emConstHere = eulerMascheroniTerm(totalObservations);
|
||||
double constantToAddIn = sdTermHere + emConstHere;
|
||||
|
||||
double[] minDistance = EuclideanUtils.computeMinEuclideanDistances(rawData);
|
||||
double[] minDistance = EuclideanUtils.computeMinEuclideanDistances(observations);
|
||||
double entropy = 0.0;
|
||||
double[] localEntropy = new double[rawData.length];
|
||||
double[] localEntropy = new double[observations.length];
|
||||
if (debug) {
|
||||
System.out.println("t,\tminDist,\tlogMinDist,\tlocal,\tsum");
|
||||
}
|
||||
for (int t = 0; t < rawData.length; t++) {
|
||||
for (int t = 0; t < observations.length; t++) {
|
||||
localEntropy[t] = Math.log(2.0 * minDistance[t]) * (double) dimensions;
|
||||
// using natural units
|
||||
// localEntropy[t] /= Math.log(2);
|
||||
|
|
@ -362,7 +146,7 @@ public class EntropyCalculatorMultiVariateKozachenko
|
|||
}
|
||||
entropy /= (double) totalObservations;
|
||||
lastAverage = entropy;
|
||||
lastLocalEntropy = localEntropy;
|
||||
isComputed = true;
|
||||
return localEntropy;
|
||||
}
|
||||
|
||||
|
|
@ -375,13 +159,13 @@ public class EntropyCalculatorMultiVariateKozachenko
|
|||
double emConstHere = eulerMascheroniTerm(totalObservations);
|
||||
double constantToAddIn = sdTermHere + emConstHere;
|
||||
|
||||
double[] minDistance = EuclideanUtils.computeMinEuclideanDistances(rawData);
|
||||
double[] minDistance = EuclideanUtils.computeMinEuclideanDistances(observations);
|
||||
double entropy = 0.0;
|
||||
double[] localEntropy = new double[rawData.length];
|
||||
double[] localEntropy = new double[observations.length];
|
||||
if (debug) {
|
||||
System.out.println("t,\tminDist,\tlogMinDist,\tlocal,\tsum");
|
||||
}
|
||||
for (int t = 0; t < rawData.length; t++) {
|
||||
for (int t = 0; t < observations.length; t++) {
|
||||
localEntropy[t] = Math.log(2.0 * minDistance[t]) * (double) dimensions;
|
||||
// using natural units
|
||||
// localEntropy[t] /= Math.log(2);
|
||||
|
|
@ -395,9 +179,6 @@ public class EntropyCalculatorMultiVariateKozachenko
|
|||
entropy);
|
||||
}
|
||||
}
|
||||
entropy /= (double) totalObservations;
|
||||
lastAverage = entropy;
|
||||
lastLocalEntropy = localEntropy;
|
||||
return localEntropy;
|
||||
}
|
||||
|
||||
|
|
@ -473,18 +254,4 @@ public class EntropyCalculatorMultiVariateKozachenko
|
|||
return result;
|
||||
}
|
||||
|
||||
@Override
|
||||
public void setDebug(boolean debug) {
|
||||
this.debug = debug;
|
||||
}
|
||||
|
||||
@Override
|
||||
public double getLastAverage() {
|
||||
return lastAverage;
|
||||
}
|
||||
|
||||
@Override
|
||||
public int getNumObservations() {
|
||||
return totalObservations;
|
||||
}
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in New Issue