File Exchange

image thumbnail

Jensen-Shannon divergence

version (1.1 KB) by Nima Razavi
Calculates the Jensen-Shannon divergence between two probability distributions


Updated 15 Jul 2008

No License

The .zip file contains two functions naming JSDiv.m and KLDiv.m

JSDiv.m uses KLDiv.m for calculation of the KL-divergence.

For more information on the divergence you can take a look at the following:

Cite As

Nima Razavi (2020). Jensen-Shannon divergence (, MATLAB Central File Exchange. Retrieved .

Comments and Ratings (2)

Mads Kaern

The works for me only after making the correction suggested by Kimberly. Note that her correction replaces lines 29-31 in the original KLDiv function. The last part of the original code containing:

% resolving the case when P(i)==0

Does anyone know why Jensen-Shannon divergence is not included as a standard option in Matlab's clustering algorithms?


Hi ... thanks very much for writing this code and taking the time to post it! I had some trouble in the case where at least one of the entries of P and Q are both 0. In this case the last line of KLdiv.m:

% resolving the case when P(i)==0

sets the divergence to 0, which is clearly not the case e.g. if P = [1 0 1], Q = [0 0 1].

I would suggest changing the last few lines to:

Q = Q ./repmat(sum(Q,2),[1 size(Q,2)]);
P = P ./repmat(sum(P,2),[1 size(P,2)]);
dist = sum(P.*M,2);

which seems to work for me.



MATLAB Release Compatibility
Created with R2007a
Compatible with any release
Platform Compatibility
Windows macOS Linux