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» A Double-Loop Algorithm to Minimize the Bethe Free Energy
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JAIR
2011
114views more  JAIR 2011»
12 years 7 months ago
Properties of Bethe Free Energies and Message Passing in Gaussian Models
We address the problem of computing approximate marginals in Gaussian probabilistic models by using mean field and fractional Bethe approximations. We define the Gaussian fracti...
Botond Cseke, Tom Heskes
CORR
2010
Springer
158views Education» more  CORR 2010»
13 years 1 months ago
Counting in Graph Covers: A Combinatorial Characterization of the Bethe Entropy Function
We present a combinatorial characterization of the Bethe entropy function of a factor graph, such a characterization being in contrast to the original, analytical, definition of th...
Pascal O. Vontobel
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
CORR
2012
Springer
170views Education» more  CORR 2012»
12 years 16 days ago
What Cannot be Learned with Bethe Approximations
We address the problem of learning the parameters in graphical models when inference is intractable. A common strategy in this case is to replace the partition function with its B...
Uri Heinemann, Amir Globerson
UAI
2003
13 years 6 months ago
Approximate Inference and Constrained Optimization
Loopy and generalized belief propagation are popular algorithms for approximate inference in Markov random fields and Bayesian networks. Fixed points of these algorithms correspo...
Tom Heskes, Kees Albers, Bert Kappen