Metrics for Matrices similarity
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Dear all, I have made a process that makes approxmation of a source matrix.
Every approximated matrix contains error which usually are extreme values (compares to the source). I have noticed that when sme approximation start looking the same then I am getting really close the source image.
That I want to ask you if you know some mathematical ways to measure similaritis in two approximated-matrices. I have used already the corrcoef and it results goosd results but I also want to check other metric.
I wuld like to thank you in advance for your help B.R Alex
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bym
le 29 Oct 2011
you can try using their eigenvalues:
x = norm(eig(a)-eig(b)); % a & b are your 2 matricies
9 commentaires
Christine Tobler
le 14 Sep 2017
Hi Shima,
It's usually better to start a new post than reviving an old one. I'm not sure of the context for the original post, but I'd typically measure the difference between matrices using
norm(A-B)
which works for non-square matrices, too.
Shanelle Clarke
le 24 Mai 2020
I've found that Christine's answer ( norm(A-B)) works better for me, since MATLAB doesn't always report the eig(A) and eig(B) in the same order.
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