How can i optimize the running time in for loops

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I' trying to compute the Heterogeneous Value Difference Metric distance between objects in numerical data set, I'm using my own code
for i = 1:size(num_data,1)
count = 0;
for j = 1:size(num_data,1)
sim = 0;
for k = 1:size(num_data,2)
sim = sim + ((abs(num_data(i,k) - num_data(j,k)))/...
(max(num_data(:,k))- min(num_data(:,k))))^2;
end
sim = sqrt(sim);
if sim <= threshold
count = count + 1;
numclass(i,count) = j;
end
end
end
where num_data is the numerical data set, but my problem is that the previous code takes too long to run especially when the data set contains a lot of objects. At the same time I'm unable to use parfor because i have dependencies in the loops so, any suggestions to improve the running time.

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