annotate _misc/probability/.svn/text-base/JSDiv.m.svn-base @ 9:4ea6619cb3f5 tip

removed log files
author matthiasm
date Fri, 11 Apr 2014 15:55:11 +0100
parents b5b38998ef3b
children
rev   line source
matthiasm@8 1 function dist=JSDiv(P,Q)
matthiasm@8 2 % Jensen-Shannon divergence of two probability distributions
matthiasm@8 3 % dist = JSD(P,Q) Kullback-Leibler divergence of two discrete probability
matthiasm@8 4 % distributions
matthiasm@8 5 % P and Q are automatically normalised to have the sum of one on rows
matthiasm@8 6 % have the length of one at each
matthiasm@8 7 % P = n x nbins
matthiasm@8 8 % Q = 1 x nbins
matthiasm@8 9 % dist = n x 1
matthiasm@8 10
matthiasm@8 11
matthiasm@8 12 if size(P,2)~=size(Q,2)
matthiasm@8 13 error('the number of columns in P and Q should be the same');
matthiasm@8 14 end
matthiasm@8 15
matthiasm@8 16 % normalizing the P and Q
matthiasm@8 17 Q = Q ./sum(Q);
matthiasm@8 18 Q = repmat(Q,[size(P,1) 1]);
matthiasm@8 19 P = P ./repmat(sum(P,2),[1 size(P,2)]);
matthiasm@8 20
matthiasm@8 21 M = 0.5.*(P + Q);
matthiasm@8 22
matthiasm@8 23 dist = 0.5.*KLDiv(P,M) + 0.5*KLDiv(Q,M);