joint entropy

noun

joint entropy

noun
1

Computing, Engineering, Information theory, Mathematics, Natural sciences, Physical sciences, Sciences The Shannon entropy of a "script" whose "characters" are elements of the Cartesian product of the sets of characters of the component scripts.

  • If random variables X and Y are mutually independent, then their joint entropy H(X,Y) is just the sum H(X)#43;H(Y) of its component entropies. If they are not mutually independent, then their joint entropy will be H(X)#43;H(Y)-I(X#59;Y) where I(X#59;Y) is the mutual information of X and Y.
Related terms
joint probability

Entry derived from the Wiktionary, under licence CC BY-SA 4.0 — list of authors.