Loop Calculus and Belief Propagation for q-ary Alphabet: Loop Tower

Details Loop Calculus and Belief Propagation for q-ary Alphabet: Loop Tower Loop Calculus and Belief Propagation for q-ary Alphabet: Loop Tower

2007-01-12

arxiv.org/abs/cs/0701086v4

Computer Science

Information Theory

5 pages, 2 figures, proceedings of ISIT '07, misprints corrected

Scientific paper

Loop Calculus introduced in [Chertkov, Chernyak '06] constitutes a new theoretical tool that explicitly expresses the symbol Maximum-A-Posteriori (MAP) solution of a general statistical inference problem via a solution of the Belief Propagation (BP) equations. This finding brought a new significance to the BP concept, which in the past was thought of as just a loop-free approximation. In this paper we continue a discussion of the Loop Calculus. We introduce an invariant formulation which allows to generalize the Loop Calculus approach to a q-are alphabet.

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