Stochastic series expansion method with operator-loop update
نویسندگان
چکیده
منابع مشابه
Loop series expansion with propagation diagrams
Abstract. The Bethe approximation is a successful method for approximating partition functions of probabilistic models associated with a graph. Recently, Chertkov and Chernyak derived an interesting formula called “Loop Series Expansion”, which is an expansion of the partition function. The main term of the series is the Bethe approximation while other terms are labelled by subgraphs called gen...
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Recently, Chertkov and Chernyak (2006a) derived an exact expression for the partition sum (normalization constant) corresponding to a graphical model, which is an expansion around the Belief Propagation solution. By adding correction terms to the BP free energy, one for each “generalized loop” in the factor graph, the exact partition sum is obtained. However, the usually enormous number of gene...
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متن کاملTruncating the Loop Series Expansion for Belief Propagation
Recently, Chertkov and Chernyak (2006b) derived an exact expression for the partition sum (normalization constant) corresponding to a graphical model, which is an expansion around the belief propagation (BP) solution. By adding correction terms to the BP free energy, one for each “generalized loop” in the factor graph, the exact partition sum is obtained. However, the usually enormous number of...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 1999
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.59.r14157