From ebd0c3df174ef50f9cd9cc19519263ae15ef0eaa Mon Sep 17 00:00:00 2001 From: "joseph.lizier" Date: Tue, 5 Aug 2014 00:50:36 +0000 Subject: [PATCH] Adding Schreiber example 3 extension to Kraskov code and sample figure for AIS and TE. Also updated main readme file and added readme for the Schreiber demo. --- .../README-SchreiberTeDemos.pdf | Bin 0 -> 150027 bytes ...activeInfoStorageHeartBreathRatesKraskov.m | 109 ++++++++++++++++++ .../runHeartBreathRateKraskov.m | 33 +++++- .../heartBreathResults-kraskovAIS.png | Bin 0 -> 18522 bytes readme-template.txt | 10 +- 5 files changed, 144 insertions(+), 8 deletions(-) create mode 100755 demos/octave/SchreiberTransferEntropyExamples/README-SchreiberTeDemos.pdf create mode 100755 demos/octave/SchreiberTransferEntropyExamples/activeInfoStorageHeartBreathRatesKraskov.m create mode 100755 demos/octave/SchreiberTransferEntropyExamples/sampleResults/heartBreathResults-kraskovAIS.png diff --git a/demos/octave/SchreiberTransferEntropyExamples/README-SchreiberTeDemos.pdf b/demos/octave/SchreiberTransferEntropyExamples/README-SchreiberTeDemos.pdf new file mode 100755 index 0000000000000000000000000000000000000000..cfdace4cbdf0854132b7a7e5701ca92870b7c1be GIT binary patch literal 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addpath('..'); + + % Assumes the jar is two 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 < 3) + 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('AIS for heart rate and breath rate for Kraskov estimation with %d samples:\n', timeSteps); + + % Using a single conditional mutual information calculator is the least biased way to run this: + aisCalc=javaObject('infodynamics.measures.continuous.kraskov.ActiveInfoStorageCalculatorKraskov'); + + for kIndex = 1:length(kHistories) + kHistory = kHistories(kIndex); + % Compute an AIS value for this embedding length for each variable: + + % Perform calculation for heart + aisCalc.initialise(kHistory); % Use history length kHistory (Schreiber k) + aisCalc.setProperty('k', sprintf('%d',knn)); + aisCalc.setProperty('NORMALISE', 'true'); + aisCalc.setObservations(octaveToJavaDoubleArray(heart(1:timeSteps))); + aisHeart(kIndex) = aisCalc.computeAverageLocalOfObservations(); + if (numSurrogates > 0) + aisHeartNullDist = aisCalc.computeSignificance(numSurrogates); + aisHeartNullMean = aisHeartNullDist.getMeanOfDistribution(); + aisHeartNullStd = aisHeartNullDist.getStdOfDistribution(); + end + + % Perform calculation for breath + aisCalc.initialise(kHistory); % Use history length kHistory (Schreiber k) + aisCalc.setProperty('k', sprintf('%d',knn)); + aisCalc.setProperty('NORMALISE', 'true'); + aisCalc.setObservations(octaveToJavaDoubleArray(chestVol(1:timeSteps))); + aisBreath(kIndex) = aisCalc.computeAverageLocalOfObservations(); + if (numSurrogates > 0) + aisBreathNullDist = aisCalc.computeSignificance(numSurrogates); + aisBreathNullMean = aisBreathNullDist.getMeanOfDistribution(); + aisBreathNullStd = aisBreathNullDist.getStdOfDistribution(); + end + + fprintf('AIS(k=%d,knns=%d): h = %.3f', kHistory, knn, aisHeart(kIndex)); + if (numSurrogates > 0) + fprintf(' (null = %.3f +/- %.3f)', aisHeartNullMean, aisHeartNullStd); + end + fprintf(', b = %.3f', aisBreath(kIndex)); + if (numSurrogates > 0) + fprintf('(null = %.3f +/- %.3f)\n', aisBreathNullMean, aisBreathNullStd); + else + fprintf('\n'); + end + end + + totaltime = toc; + fprintf('Total runtime was %.1f sec\n', totaltime); + + hold off; + plot(kHistories, aisHeart, 'rx'); + hold on; + plot(kHistories, aisBreath, 'bo'); + hold off; + legend(['AIS(Heart) '; 'AIS(Breath)']) + set (gca,'fontsize',26); + xlabel('embedding history k', 'FontSize', 36, 'FontWeight', 'bold'); + ylabel('AIS(k)', 'FontSize', 36, 'FontWeight', 'bold'); + print('heartBreathResults-kraskovAIS.eps', '-depsc'); +end + diff --git a/demos/octave/SchreiberTransferEntropyExamples/runHeartBreathRateKraskov.m b/demos/octave/SchreiberTransferEntropyExamples/runHeartBreathRateKraskov.m index ddf27ce..f9e9f27 100755 --- a/demos/octave/SchreiberTransferEntropyExamples/runHeartBreathRateKraskov.m +++ b/demos/octave/SchreiberTransferEntropyExamples/runHeartBreathRateKraskov.m @@ -13,22 +13,27 @@ % - 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 AIS 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) +function [teHeartToBreath, teBreathToHeart] = runHeartBreathRateKraskov(kHistory, lHistory, knns, numSurrogates) starttime = tic; % Add utilities to the path addpath('..'); - % Assumes the jar is two levels up - change this if this is not the case + % 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: @@ -55,6 +60,11 @@ function [teHeartToBreath, teBreathToHeart] = runHeartBreathRateKraskov(kHistory 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); @@ -62,13 +72,28 @@ function [teHeartToBreath, teBreathToHeart] = runHeartBreathRateKraskov(kHistory 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): heart->breath = %.3f, breath->heart = %.3f nats\n', knn, teHeartToBreath(knnIndex), teBreathToHeart(knnIndex)); + 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(starttime); fprintf('Total runtime was %.1f sec\n', tElapsed); + hold off; plot(knns, teHeartToBreath, 'rx', 'markersize', 10); hold on; plot(knns, teBreathToHeart, 'mo', 'markersize', 10); @@ -77,6 +102,6 @@ function [teHeartToBreath, teBreathToHeart] = runHeartBreathRateKraskov(kHistory set (gca,'fontsize',26); xlabel('K nearest neighbours', 'FontSize', 44, 'FontWeight', 'bold'); ylabel('TE', 'FontSize', 44, 'FontWeight', 'bold'); - print('results.eps', '-deps', '-color'); + % print('results.eps', '-deps', '-color'); end diff --git a/demos/octave/SchreiberTransferEntropyExamples/sampleResults/heartBreathResults-kraskovAIS.png 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