ITP OpenIR  > 2011年知识产出
Partition function expansion on region graphs and message-passing equations
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.
2011
发表期刊JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
ISSN1742-5468
期号*页码:L12001
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.
部门归属[Zhou, Haijun; Wang, Chuang; Xiao, Jing-Qing; Bi, Zedong] Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China; [Xiao, Jing-Qing] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
关键词States
学科领域Physics
资助者Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences
URL查看原文
收录类别SCI
语种英语
资助者Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences ; Chinese Academy of Sciences
WOS记录号WOS:000302413800001
引用统计
被引频次:11[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/14217
专题2011年知识产出
通讯作者Zhou, HJ (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.
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(*):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.
条目包含的文件
文件名称/大小 文献类型 版本类型 开放类型 使用许可
Partition function e(232KB) 开放获取使用许可请求全文
个性服务
推荐该条目
保存到收藏夹
查看访问统计
导出为Endnote文件
谷歌学术
谷歌学术中相似的文章
[Zhou, HJ]的文章
[Wang, C]的文章
[Xiao, JQ]的文章
百度学术
百度学术中相似的文章
[Zhou, HJ]的文章
[Wang, C]的文章
[Xiao, JQ]的文章
必应学术
必应学术中相似的文章
[Zhou, HJ]的文章
[Wang, C]的文章
[Xiao, JQ]的文章
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。