Mercurial > hg > camir-aes2014
diff toolboxes/FullBNT-1.0.7/KPMtools/logsumexpv.m @ 0:e9a9cd732c1e tip
first hg version after svn
author | wolffd |
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date | Tue, 10 Feb 2015 15:05:51 +0000 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/toolboxes/FullBNT-1.0.7/KPMtools/logsumexpv.m Tue Feb 10 15:05:51 2015 +0000 @@ -0,0 +1,15 @@ +function s = logsumexpv(a) +% Returns log(sum(exp(a))) while avoiding numerical underflow. +% +% e.g., log(e^a1 + e^a2) = a1 + log(1 + e^(a2-a1)) if a1>a2 +% If a1 ~ a2, and a1>a2, then e^(a2-a1) is exp(small negative number), +% which can be computed without underflow. + +% Same as logsumexp, except we assume a is a vector. +% This avoids a call to repmat, which takes 50% of the time! + +a = a(:)'; % make row vector +m = max(a); +b = a - m*ones(1,length(a)); +s = m + log(sum(exp(b))); +