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

dc.creatorChernyak, Vladimir Y.
dc.creatorChertkov, Michael
dc.date2007-01-12
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:28Z
dc.date.available2026-07-07T10:01:28Z
dc.descriptionLoop 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.
dc.description5 pages, 2 figures, proceedings of ISIT '07, misprints corrected
dc.identifierhttps://arxiv.org/abs/cs/0701086
dc.identifierhttp://arxiv.org/abs/cs/0701086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168639
dc.subjectInformation Theory
dc.subjectStatistical Mechanics
dc.titleLoop Calculus and Belief Propagation for q-ary Alphabet: Loop Tower
dc.typetext

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