Matlab code really doesn’t like nested for-loops. I didn’t realize how much until I had written the following piece of code for an assignment:

for i=1:k sum_z = zeros(1,size(z,2)); misclassified = 0; for r=1:totalSamples if dot(a, z(r,:)) < 0 sum_z = sum_z + z(r,:); misclassified = misclassified + 1; end end a = a + sum_z; if misclassified < best_misclassified best_misclassified = misclassified; aBest = a; end end

For values of k larger than 10,000 the code took several minutes to run.

I re-wrote the code and removed the inner for-loop and if statement.

for i=1:k tmp = bsxfun(@times, a, z); s = sum(tmp, 2); misclassified = z(find( s < 0 ),:); numMisclassified = size(misclassified,1); sum_z = sum(misclassified); a = a + sum_z; if numMisclassified < best_misclassified best_misclassified = numMisclassified; aBest = a; end end

Somewhat surprisingly it now only takes seconds to run.