Place(s) of greatest deviation

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Ulrik Nash
Ulrik Nash on 15 May 2011
Hi Everyone,
Suppose I have a vector Y:
Y = [0 0 0 0.5 0.5]
and a vector X
X = [0 0 0 1 1]
Now I wish to find the place of greatest (absolute) deviation between Y and X. Now, there are two such places, but if I use the following:
[~,I] = max(abs(X-Y))
then the answer is always 4. But 5 has an equally large deviation. What I really wish in such ties is to be returned a random place (out of the ties).
Any hints how to solve this problem?
Regards,
Ulrik.

Answers (1)

Oleg Komarov
Oleg Komarov on 15 May 2011
Y = [0 0 0 0.5 0.5];
X = [0 0 0 1 1];
absdiff = abs(X-Y);
pos = find(max(absdiff) == absdiff); % or [trash,pos] = ismember(max(absdiff),absdiff);
pos(randi(numel(pos),1))
Try to execute several times to see the random selection between position 4 and 5.

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