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logsumexp = function(x,dimension=c(1,2)){
# % Compute log(sum(exp(x),dim)) while avoiding numerical underflow.
# % By default dim = 2 (columns).
if (is.null(dimension)) dimension=1 ;
# % subtract the largest in each column
y = apply(x,1,max)
x = x-y#sweep(x,1,y,"-")
s = y+log(rowSums(exp(x)))
i = is.infinite(y)
if (sum(i) > 0) s[i]=y[i]
return(s)
}
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