Partition function expansion on region graphs and message-passing equations
文献类型：期刊论文
| 作者 | Zhou, HJ ; Wang, C ; Xiao, JQ ; Bi, ZD |
| 刊名 | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
 |
| 出版日期 | 2011 |
| 关键词 | STATES |
| ISSN号 | 1742-5468 |
| 通讯作者 | Zhou, HJ (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China. |
| 中文摘要 | 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. |
| 收录类别 | SCI |
| 资助信息 | Chinese Academy of Sciences |
| 语种 | 英语 |
| 公开日期 | 2013-09-24 |
| 源URL | [http://ir.iphy.ac.cn/handle/311004/50587]  |
| 专题 | 物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文 |
| 推荐引用方式 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. |
| APA | Zhou, HJ,Wang, C,Xiao, JQ,&Bi, ZD.(2011).Partition function expansion on region graphs and message-passing equations.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT. |
| MLA | Zhou, HJ,et al."Partition function expansion on region graphs and message-passing equations".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2011). |
入库方式： OAI收割
来源：物理研究所
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