ITP OpenIR  > SCI期刊论文
Zhou, HJ; Wang, C; Xiao, JQ; Bi, ZD; Zhou, HJ (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.
Partition function expansion on region graphs and message-passing equations
Source PublicationJOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Language英语
KeywordStates
AbstractDisordered and frustrated graphical systems are ubiquitous in physics, biology, and information science. For models on complete graphs or random graphs, deep understanding has been achieved through the mean-field replica and cavity methods. But finite-dimensional 'real' systems remain very challenging because of the abundance of short loops and strong local correlations. A statistical mechanics theory is constructed in this paper for finite-dimensional models based on the mathematical framework of the partition function expansion and the concept of region graphs. Rigorous expressions for the free energy and grand free energy are derived. Message-passing equations on the region graph, such as belief propagation and survey propagation, are also derived rigorously.
2011
ISSN1742-5468
Issue*Pages:L12001
Subject AreaPhysics
Indexed BySCI
Funding OrganizationChinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences
Citation statistics
Cited Times:11[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/14217
CollectionSCI期刊论文
Corresponding AuthorZhou, HJ (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Zhou, HJ,Wang, C,Xiao, JQ,et al. Partition function expansion on region graphs and message-passing equations[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2011(*):L12001.
APA Zhou, HJ,Wang, C,Xiao, JQ,Bi, ZD,&Zhou, HJ .(2011).Partition function expansion on region graphs and message-passing equations.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT(*),L12001.
MLA Zhou, HJ,et al."Partition function expansion on region graphs and message-passing equations".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT .*(2011):L12001.
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