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CORR
2010
Springer
142views Education» more  CORR 2010»
13 years 4 months ago
Graph Zeta Function in the Bethe Free Energy and Loopy Belief Propagation
We propose a new approach to the analysis of Loopy Belief Propagation (LBP) by establishing a formula that connects the Hessian of the Bethe free energy with the edge zeta functio...
Yusuke Watanabe, Kenji Fukumizu
UAI
2008
13 years 6 months ago
Convergent Message-Passing Algorithms for Inference over General Graphs with Convex Free Energies
Inference problems in graphical models can be represented as a constrained optimization of a free energy function. It is known that when the Bethe free energy is used, the fixedpo...
Tamir Hazan, Amnon Shashua
NIPS
2001
13 years 6 months ago
The Unified Propagation and Scaling Algorithm
In this paper we will show that a restricted class of constrained minimum divergence problems, named generalized inference problems, can be solved by approximating the KL divergen...
Yee Whye Teh, Max Welling
JAIR
2006
143views more  JAIR 2006»
13 years 4 months ago
Convexity Arguments for Efficient Minimization of the Bethe and Kikuchi Free Energies
Loopy and generalized belief propagation are popular algorithms for approximate inference in Markov random fields and Bayesian networks. Fixed points of these algorithms have been...
Tom Heskes
NIPS
2001
13 years 6 months ago
MIME: Mutual Information Minimization and Entropy Maximization for Bayesian Belief Propagation
Bayesian belief propagation in graphical models has been recently shown to have very close ties to inference methods based in statistical physics. After Yedidia et al. demonstrate...
Anand Rangarajan, Alan L. Yuille