MATLAB's custom distance function example for two matrices.

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hello_world 2018-7-22

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https://ww2.mathworks.cn/matlabcentral/answers/411486-matlab-s-custom-distance-function-example-for-two-matrices

回答： Viren Gupta 2018-8-7

How does MATLAB's @distfun work for two matrices. Suppose:

X1 = rand(5);
X2 = rand(3);

How to compute the KL-Divergence between X1 and X2 using @distfun? I do not see any non trivial distance example in manual. Please advise.

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Viren Gupta 2018-8-3

I checked the documentation of @distfun here and it says that if Z1 and Z2 are 2 inputs to the function, then Z1 need to have a single row.

Apart from this how are you trying to find KL divergence between 2 vectors of different length?

hello_world 2018-8-3

@Viren Gupta: I also followed document and trivial example given there. Can you show me a working example for non trivial cases, such as, KL Divergence which depends on two probability distributions P and Q. So, you may generate two random distributions.

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Answer 1

Viren Gupta 2018-8-7

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https://ww2.mathworks.cn/matlabcentral/answers/411486-matlab-s-custom-distance-function-example-for-two-matrices#answer_331859

在 MATLAB Online 中打开

Here is a working example if you want to find KL divergence between 2 vectors.

z1=rand(1,5);
z2=rand(1,5);
X=[z1;z2];
fn=@distfun;
d=pdist(X,fn);
function f = distfun(x1,x2)
    l=size(x1,2);
    KL=0;
    for i=1:l
        KL=KL+x2(i)*log(x2(i)/x1(i));
    end
    f=KL;
end