📄 max_mult.m
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function y=max_mult(A,x)
% MAX_MULT Like matrix multiplication, but sum gets replaced by max
% function y=max_mult(A,x) y(i) = max_j A(i,j) x(j)
%X=ones(size(A,1),1) * x(:)'; % X(j,i) = x(i)
%y=max(A.*X, [], 2);
% This is faster
if size(x,2)==1
X=x*ones(1,size(A,1)); % X(i,j) = x(i)
y=max(A'.*X)';
else
%this works for arbitrarily sized A and x (but is ugly, and slower than above)
X=repmat(x, [1 1 size(A,1)]);
B=repmat(A, [1 1 size(x,2)]);
C=permute(B,[2 3 1]);
y=permute(max(C.*X),[3 2 1]);
% this is even slower, as is using squeeze instead of permute
% Y=permute(X, [3 1 2]);
% y=permute(max(Y.*B, [], 2), [1 3 2]);
end
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