40 lines
1.0 KiB
Matlab
40 lines
1.0 KiB
Matlab
function showTransitionProbabilities(sequence)
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if isa(sequence,'Signal')
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sequence = sequence.signal;
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end
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sequence = sequence(2+mod(1,length(sequence)):end); %filtered sequences often have one "old" sample at idx=1
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x = sequence;
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levels = sort(unique(x)).'; % or provide known 1x6 level values
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[~,ix] = min(abs(x - levels),[],2);
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x = levels(ix);
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K = numel(levels);
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% map to state indices 1..K
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[tf, idx] = ismember(x, levels);
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idx = idx(:);
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% from = idx(1:end-1);
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% to = idx(2:end);
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from = idx(1:2:end);
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to = idx(2:2:end);
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% counts C(from,to)
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C = accumarray([from,to], 1, [K K], @sum, 0);
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% row-stochastic transition matrix P(to|from)
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rowSums = sum(C,2);
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P = C ./ max(rowSums,1);
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%% 1) HEATMAP (which transitions are more probable?)
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figure('Name','Transition Probabilities (to | from)');
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h = heatmap(levels, levels, P, 'Colormap', parula, 'ColorbarVisible','on');
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colormap(gca,[[1,1,1];flip(cbrewer2('Spectral',100))]);clim([0,ceil(max(P(:))*10)/10]);
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h.XLabel = 'From state (level)';
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h.YLabel = 'To state (level)';
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h.Title = 'P(to | from)';
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end |