✦ LIBER ✦

An Entropy Proof of Bregman's Theorem

✍ Scribed by Jaikumar Radhakrishnan

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 159 KB
Volume: 77
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1996.2727

No coin nor oath required. For personal study only.

✦ Synopsis

Let A=(a i, j ) be an n_n 0-1 matrix. Let S be the set of permutations _ of [n] such that a i, _(i) =1 for i=1, 2, ..., n. Then, the permanent of A is perm(A) = def |S|.

For a pair of random variables (X, Y ) (with some joint distribution) and x # support[X ], let Y x be a random variable such that for all y # support[Y ] Pr[Y x =y]=Pr[Y=y | X=x].

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