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May 19, 2011 at 0:59 comment added MRule Is it known whether entropy is a modular set function ? It seems like it is ? Since mutual information $MI=I(X;Y)$ and joint entropy $H(X,Y)$ obey the following relationship : $I(X;Y)+H(X,Y)=H(X)+H(Y)$ And, this would mean that all intuition about what happens when you take the union, intersection, and complement, with sets, should generalize to information for mutual information, joint entropy, and conditional entropy, respectively ?
May 17, 2011 at 14:02 comment added MRule Thanks, I really appreciate your help. This answer is clear and exactly addresses the question.
May 17, 2011 at 13:55 vote accept MRule
May 17, 2011 at 11:53 history answered Bobby Kleinberg CC BY-SA 3.0