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CORR
2011
Springer
215views Education» more  CORR 2011»
9 years 2 months ago
The Bethe Permanent of a Non-Negative Matrix
:  The Bethe Permanent of a Non-Negative Matrix Pascal O. Vontobel HP Laboratories HPL-2011-116 Bethe approximation; Bethe permanent; graph cover; partition function; perfect ma...
Pascal O. Vontobel
TCOM
2010
90views more  TCOM 2010»
9 years 8 months ago
On the Relationship Between Belief Propagation Decoding and Joint Maximum Likelihood Detection
—Belief propagation, via a novel reinterpretation of the Bethe free energy’s pseudo-dual, is shown to be related to a novel relaxation of maximum likelihood detection via a con...
John MacLaren Walsh, Phillip A. Regalia
CORR
2010
Springer
142views Education» more  CORR 2010»
9 years 10 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
NIPS
2001
9 years 11 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
UAI
2008
9 years 11 months ago
Bounds on the Bethe Free Energy for Gaussian Networks
We address the problem of computing approximate marginals in Gaussian probabilistic models by using mean field and fractional Bethe approximations. As an extension of Welling and ...
Botond Cseke, Tom Heskes
UAI
2008
9 years 11 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
EMMCVPR
2001
Springer
10 years 2 months ago
A Double-Loop Algorithm to Minimize the Bethe Free Energy
Recent work (Yedidia, Freeman, Weiss [22]) has shown that stable points of belief propagation (BP) algorithms [12] for graphs with loops correspond to extrema of the Bethe free ene...
Alan L. Yuille
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