What does fidelity mean?
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le 17 Fév 2016
Commenté : Walter Roberson
le 17 Fév 2016
Can some body explain the following formula?
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/155231/image.png)
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Walter Roberson
le 17 Fév 2016
%mu says whether the E values bear the same relationship to each other that the M values do
mu(i,j) = sign( E(D(i)) - E(D(j)) ) == sign( M(D(i)) - M(D(j)) )
However, we do not have enough information about the meaning of E or M to fully optimize the computation. I suspect it might be possible to do all of the comparisons at the same time over an array, zero the diagonal, sum the result, divide by n*(n-1), multiply by 100 -- the 2 would cancel in such an implementation, I think.
mu = sign(bsxfun(@minus, E(:), E(:).')) == sign(bsxfun(@minus, M(:), M(:).'));
n = size(mu,1);
mu(1:n+1:end) = 0; %zero diagonal
F = 100 * sum(mu(:)) / (n*(n+1));
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Walter Roberson
le 17 Fév 2016
Well theoretical explanations are not suitable topics for MATLAB Answers, which is about MATLAB, so here you get an implementation or you get your question closed as being off topic.
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