annotate toolboxes/FullBNT-1.0.7/bnt/examples/static/Misc/mixexp_plot.m @ 0:e9a9cd732c1e tip

first hg version after svn
author wolffd
date Tue, 10 Feb 2015 15:05:51 +0000
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wolffd@0 1 function plot_mixexp(theta, eta, data)
wolffd@0 2 % PLOT_MIXEXP Plot the results for a piecewise linear regression model
wolffd@0 3 % plot_mixexp(theta, eta, data)
wolffd@0 4 %
wolffd@0 5 % data(l,:) = [x y] for example l
wolffd@0 6 % theta(i,:) = regression vector for expert i
wolffd@0 7 % eta(i,:) = softmax (gating) params for expert i
wolffd@0 8
wolffd@0 9 numexp = size(theta, 1);
wolffd@0 10
wolffd@0 11 mn = min(data);
wolffd@0 12 mx = max(data);
wolffd@0 13 xa = mn(1):0.01:mx(1);
wolffd@0 14 x = [ones(length(xa),1) xa'];
wolffd@0 15 % pr(i,l) = posterior probability of expert i on example l
wolffd@0 16 pr = exp(eta * x');
wolffd@0 17 pr = pr ./ (ones(numexp,1) * sum(pr));
wolffd@0 18 % y(i,l) = prediction of expert i for example l
wolffd@0 19 y = theta * x';
wolffd@0 20 % yg(l) = weighted prediction for example l
wolffd@0 21 yg = sum(y .* pr)';
wolffd@0 22
wolffd@0 23 subplot(3,2,1);
wolffd@0 24 plot(xa, y(1,:));
wolffd@0 25 title('expert 1');
wolffd@0 26
wolffd@0 27 subplot(3,2,2);
wolffd@0 28 plot(xa, y(2,:));
wolffd@0 29 title('expert 2');
wolffd@0 30
wolffd@0 31 subplot(3,2,3);
wolffd@0 32 plot(xa, pr(1,:));
wolffd@0 33 title('gating 1');
wolffd@0 34
wolffd@0 35 subplot(3,2,4);
wolffd@0 36 plot(xa, pr(2,:));
wolffd@0 37 title('gating 2');
wolffd@0 38
wolffd@0 39 subplot(3,2,5);
wolffd@0 40 plot(xa, yg);
wolffd@0 41 axis([-1 1 -1 2])
wolffd@0 42 title('prediction');
wolffd@0 43
wolffd@0 44 subplot(3,2,6);
wolffd@0 45 title('data');
wolffd@0 46 hold on
wolffd@0 47 plot(data(:,1), data(:,2), '+');
wolffd@0 48 hold off
wolffd@0 49