jidt/demos/octave/SchreiberTransferEntropyExa.../runHeartBreathRateKraskov.m

126 lines
4.8 KiB
Matlab
Executable File

%%
%% Java Information Dynamics Toolkit (JIDT)
%% Copyright (C) 2012, Joseph T. Lizier
%%
%% This program is free software: you can redistribute it and/or modify
%% it under the terms of the GNU General Public License as published by
%% the Free Software Foundation, either version 3 of the License, or
%% (at your option) any later version.
%%
%% This program is distributed in the hope that it will be useful,
%% but WITHOUT ANY WARRANTY; without even the implied warranty of
%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
%% GNU General Public License for more details.
%%
%% You should have received a copy of the GNU General Public License
%% along with this program. If not, see <http://www.gnu.org/licenses/>.
%%
% function [teHeartToBreath, teBreathToHeart] = runHeartBreathRateKraskov(kHistory, lHistory, knns, numSurrogates)
%
% runHeartBreathRateKraskov
% Version 1.0
% Joseph Lizier
% 22/1/2014
%
% Used to explore information transfer in the heart rate / breath rate example of Schreiber --
% but estimates TE using Kraskov-Stoegbauer-Grassberger estimation.
%
%
% Inputs
% - kHistory - destination embedding length
% - lHistory - source embedding length
% - knns - a scalar specifying a single, or vector specifying multiple, value of K nearest neighbours to evaluate TE (Kraskov) with.
% - numSurrogates - a scalar specifying the number of surrogates to evaluate TE from null distribution
% Outputs
% - teHeartToBreath - TE (heart -> breath) for each value of k nearest neighbours
% - teBreathToHeart - TE (breath -> heart) for each value of k nearest neighbours
function [teHeartToBreath, teBreathToHeart] = runHeartBreathRateKraskov(kHistory, lHistory, knns, numSurrogates)
tic;
% Add utilities to the path
addpath('..');
% Assumes the jar is three levels up - change this if this is not the case
% Octave is happy to have the path added multiple times; I'm unsure if this is true for matlab
javaaddpath('../../../infodynamics.jar');
if (nargin < 4)
numSurrogates = 0;
end
data = load('../../data/SFI-heartRate_breathVol_bloodOx.txt');
% Restrict to the samples that Schreiber mentions:
data = data(2350:3550,:);
% Separate the data from each column:
heart = data(:,1);
chestVol = data(:,2);
bloodOx = data(:,3);
timeSteps = length(heart);
fprintf('TE for heart rate <-> breath rate for Kraskov estimation with %d samples:\n', timeSteps);
% Using a KSG estimator for TE is the least biased way to run this:
teCalc=javaObject('infodynamics.measures.continuous.kraskov.TransferEntropyCalculatorKraskov');
for knnIndex = 1:length(knns)
knn = knns(knnIndex);
% Compute a TE value for knn nearest neighbours
% Perform calculation for heart -> breath (lag 1)
teCalc.initialise(kHistory,1,lHistory,1,1);
teCalc.setProperty('k', sprintf('%d',knn));
teCalc.setObservations(octaveToJavaDoubleArray(heart), ...
octaveToJavaDoubleArray(chestVol));
teHeartToBreath(knnIndex) = teCalc.computeAverageLocalOfObservations();
if (numSurrogates > 0)
teHeartToBreathNullDist = teCalc.computeSignificance(numSurrogates);
teHeartToBreathNullMean = teHeartToBreathNullDist.getMeanOfDistribution();
teHeartToBreathNullStd = teHeartToBreathNullDist.getStdOfDistribution();
end
% Perform calculation for breath -> heart (lag 1)
teCalc.initialise(kHistory,1,lHistory,1,1);
teCalc.setProperty('k', sprintf('%d',knn));
teCalc.setObservations(octaveToJavaDoubleArray(chestVol), ...
octaveToJavaDoubleArray(heart));
teBreathToHeart(knnIndex) = teCalc.computeAverageLocalOfObservations();
if (numSurrogates > 0)
teBreathToHeartNullDist = teCalc.computeSignificance(numSurrogates);
teBreathToHeartNullMean = teBreathToHeartNullDist.getMeanOfDistribution();
teBreathToHeartNullStd = teBreathToHeartNullDist.getStdOfDistribution();
end
fprintf('TE(k=%d,l=%d,knn=%d): h->b = %.3f', kHistory, lHistory, knn, teHeartToBreath(knnIndex));
if (numSurrogates > 0)
fprintf(' (null = %.3f +/- %.3f)', teHeartToBreathNullMean, teHeartToBreathNullStd);
end
fprintf(', b->h = %.3f nats', teBreathToHeart(knnIndex));
if (numSurrogates > 0)
fprintf('(null = %.3f +/- %.3f)\n', teBreathToHeartNullMean, teBreathToHeartNullStd);
else
fprintf('\n');
end
end
tElapsed = toc;
fprintf('Total runtime was %.1f sec\n', tElapsed);
hold off;
plot(knns, teHeartToBreath, 'rx', 'markersize', 10);
hold on;
plot(knns, teBreathToHeart, 'mo', 'markersize', 10);
hold off;
legend(['TE(heart->breath)'; 'TE(breath->heart)']);
set (gca,'fontsize',26);
xlabel('K nearest neighbours', 'FontSize', 36, 'FontWeight', 'bold');
ylabel('TE', 'FontSize', 36, 'FontWeight', 'bold');
print('heartBreathResults-kraskovTE.eps', '-depsc');
end