Vectorization of multiple embedded for loops

I have the following code that includes 3 iterated for loops in order to create an upper diagonal matrix, I plan on performing on large data set many times and want to make as computationally efficient as possible.
data = magic(3);
n = size(data,1);
W = zeros(n,n);
for i = 1:n
for j = i:n
if i==j
www(i,j)=0;
else
for k = 1:n
temp(1,k) = (data(i,k)-data(j,k))^2;
sumTemp = sumTemp + temp(1,k);
end
W(i,j)=sqrt(sumTemp);
end
temp = 0;
sumTemp = 0;
end
end
Answer should look like:
[0 6.4807 9.7980
0 0 6.4807
0 0 0]
I am working it hard right now, but figure I would throw it out there in case anyone has any suggestions that would save me hours of fiddling around. Thanks in advance.
Keith

 采纳的回答

W = triu(squeeze(sqrt(sum(bsxfun(@minus,data,permute(data,[3 2 1])).^2,2))));

2 个评论

Andrei - quite impressive. I would like to get to the point where I can vectorize like this. Can you point me to any good learning references. Thanks for quick and accurate response!
Hi Keith! Full vectoring is not always the best solution. About efficient training: I think, this site and documentation for MATLAB.

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