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题名: Loop-corrected belief propagation for lattice spin models
作者: Zhou, HJ;  Zheng, WM
刊名: EUROPEAN PHYSICAL JOURNAL B
出版日期: 2015
卷号: 88, 期号:12, 页码:336
学科分类: Physics
DOI: http://dx.doi.org/10.1140/epjb/e2015-60485-6
通讯作者: Zhou, HJ (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.
文章类型: Article
英文摘要: Belief propagation (BP) is a message-passing method for solving probabilistic graphical models. It is very successful in treating disordered models (such as spin glasses) on random graphs. On the other hand, finite-dimensional lattice models have an abundant number of short loops, and the BP method is still far from being satisfactory in treating the complicated loop-induced correlations in these systems. Here we propose a loop-corrected BP method to take into account the effect of short loops in lattice spin models. We demonstrate, through an application to the square-lattice Ising model, that loop-corrected BP improves over the naive BP method significantly. We also implement loop-corrected BP at the coarse-grained region graph level to further boost its performance.
类目[WOS]: Physics, Condensed Matter
关键词[WOS]: CLUSTER-VARIATION METHOD ;  GLASSES ;  FERROMAGNETISM ;  STATISTICS ;  ALGORITHMS
收录类别: SCI
项目资助者: National Natural Science Foundation of China [11225526, 11175224, 11121403] ;  National Basic Research Program of China [2013CB932804]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/20747
Appears in Collections:理论物理所2015年知识产出_期刊论文

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Recommended Citation:
Zhou, HJ,Zheng, WM. Loop-corrected belief propagation for lattice spin models[J]. EUROPEAN PHYSICAL JOURNAL B,2015,88(12):336.
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