Simplifying generalized belief propagation on redundant region graphs
文献类型：会议论文
| 作者 | Wang, C; Zhou, HJ
|
| 出版日期 | 2013 |
| 会议日期 | JUL 28-30, 2013 |
| 会议地点 | Sapporo, JAPAN |
| 关键词 | CLUSTER VARIATION METHOD MODEL STATISTICS |
| 卷号 | 473 |
| DOI | 10.1088/1742-6596/473/1/012004 |
| 页码 | 12004 |
| 英文摘要 | The cluster variation method has been developed into a general theoretical framework for treating short-range correlations in many-body systems after it was first proposed by Kikuchi in 1951. On the numerical side, a message-passing approach called generalized belief propagation (GBP) was proposed by Yedidia, Freeman and Weiss about a decade ago as a way of computing the minimal value of the cluster variational free energy and the marginal distributions of clusters of variables. However the GBP equations are often redundant, and it is quite a non-trivial task to make the GBP iteration converges to a fixed point. These drawbacks hinder the application of the GBP approach to finite-dimensional frustrated and disordered systems. In this work we report an alternative and simple derivation of the GBP equations starting from the partition function. Based on this derivation we propose a natural and systematic way of removing the redundance of the GBP equations. We apply the simplified generalized belief propagation (SGBP) equations to the two-dimensional and the three-dimensional ferromagnetic Ising model and Edwards-Anderson spin glass model. The numerical results confirm that the SGBP message-passing approach is able to achieve satisfactory performance on these model systems. We also suggest that a subset of the SGBP equations can be neglected in the numerical iteration process without affecting the final results. |
| 会议录 | ELC INTERNATIONAL MEETING ON INFERENCE, COMPUTATION, AND SPIN GLASSES (ICSG2013)
 |
| 会议录出版者 | IOP PUBLISHING LTD |
| 会议录出版地 | BRISTOL |
| 语种 | 英语 |
| URL标识 | 查看原文 |
| ISSN号 | 1742-6588 |
| WOS研究方向 | Physics |
| 源URL | [http://ir.itp.ac.cn/handle/311006/23603]  |
| 专题 | SCI会议论文 |
| 作者单位 | 1.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.[Wang, Chuang |
| 推荐引用方式 GB/T 7714 | Wang, C,Zhou, HJ. Simplifying generalized belief propagation on redundant region graphs[C]. 见:. Sapporo, JAPAN. JUL 28-30, 2013. |
入库方式： OAI收割
来源：理论物理研究所
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