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Partition function expansion on region graphs and message-passing equations

文献类型：期刊论文

作者Zhou, Haijun1; Wang, Chuang1; Xiao, Jing-Qing1,2; Bi, Zedong1
刊名JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
出版日期2011-12-01
页码10
关键词rigorous results in statistical mechanics cavity and replica method spin glasses (theory) message-passing algorithms
ISSN号1742-5468
DOI10.1088/1742-5468/2011/12/L12001
英文摘要Disordered 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.
资助项目Chinese Academy of Sciences
WOS研究方向Mechanics ; Physics
语种英语
WOS记录号WOS:000302413800001
出版者IOP PUBLISHING LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12262]  
专题中国科学院数学与系统科学研究院
通讯作者Zhou, Haijun
作者单位1.Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Zhou, Haijun,Wang, Chuang,Xiao, Jing-Qing,et al. Partition function expansion on region graphs and message-passing equations[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2011:10.
APA Zhou, Haijun,Wang, Chuang,Xiao, Jing-Qing,&Bi, Zedong.(2011).Partition function expansion on region graphs and message-passing equations.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,10.
MLA Zhou, Haijun,et al."Partition function expansion on region graphs and message-passing equations".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2011):10.

入库方式： OAI收割

来源：数学与系统科学研究院

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