Primal View on Belief Propagation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F10%3A00175523" target="_blank" >RIV/68407700:21230/10:00175523 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Primal View on Belief Propagation
Original language description
It is known that fixed points of loopy belief propagation (BP) correspond to stationary points of the Bethe variational problem, where we minimize the Bethe free energy subject to normalization and marginalization constraints. Unfortunately, this does not entirely explain BP because BP is a dual rather than primal algorithm to solve the Bethe variational problem - beliefs are infeasible before convergence. Thus, we have no better understanding of BP than as an algorithm to seek for a common zero of a system of non-linear functions, not explicitly related to each other. In this theoretical paper, we show that these functions are in fact explicitly related -- they are the partial derivatives of a single function of reparameterizations. That means, BP seeks for a stationary point of a single function, without any constraints. This function has a very natural form: it is a linear combination of local log-partition functions, exactly as the Bethe entropy is the same linear combination of lo
Czech name
—
Czech description
—

Project
—
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>R - Projekt Ramcoveho programu EK

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
UAI 2010: Proceedings of the Conference of Uncertainty in Artificial Intelligence
ISBN
978-0-9749039-6-5
ISSN
—
e-ISSN
—
Number of pages
7
Pages from-to
—
Publisher name
AUAI Press
Place of publication
Corvallis
Event location
Catalina Island
Event date
Jul 8, 2010
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—

Similar results(10)