ITP OpenIR  > SCI期刊论文
Pan, Feng; Zhou, Pengfei; Zhou, Hai-Jun; Zhang, Pan2,3
Solving statistical mechanics on sparse graphs with feedback-set variational autoregressive networks
Source PublicationPHYSICAL REVIEW E
Language英语
KeywordMODEL
AbstractWe propose a method for solving statistical mechanics problems defined on sparse graphs. It extracts a small feedback vertex set (FVS) from the sparse graph, converting the sparse system to a much smaller system with many-body and dense interactions with an effective energy on every configuration of the FVS, then learns a variational distribution parametrized using neural networks to approximate the original Boltzmann distribution. The method is able to estimate free energy, compute observables, and generate unbiased samples via direct sampling without autocorrelation. Extensive experiments show that our approach is more accurate than existing approaches for sparse spin glasses. On random graphs and real-world networks, our approach significantly outperforms the standard methods for sparse systems, such as the belief-propagation algorithm; on structured sparse systems, such as two-dimensional lattices our approach is significantly faster and more accurate than recently proposed variational autoregressive networks using convolution neural networks.
2021
ISSN2470-0045
Volume103Issue:1Pages:12103
Cooperation Status国内
Subject AreaPhysics
MOST Discipline CataloguePhysics, Fluids & Plasmas ; Physics, Mathematical
DOI10.1103/PhysRevE.103.012103
Indexed BySCIE
Citation statistics
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/27483
CollectionSCI期刊论文
Affiliation1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
3.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China
4.Lnternatl Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Pan, Feng,Zhou, Pengfei,Zhou, Hai-Jun,et al. Solving statistical mechanics on sparse graphs with feedback-set variational autoregressive networks[J]. PHYSICAL REVIEW E,2021,103(1):12103.
APA Pan, Feng,Zhou, Pengfei,Zhou, Hai-Jun,&Zhang, Pan.(2021).Solving statistical mechanics on sparse graphs with feedback-set variational autoregressive networks.PHYSICAL REVIEW E,103(1),12103.
MLA Pan, Feng,et al."Solving statistical mechanics on sparse graphs with feedback-set variational autoregressive networks".PHYSICAL REVIEW E 103.1(2021):12103.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Pan, Feng]'s Articles
[Zhou, Pengfei]'s Articles
[Zhou, Hai-Jun]'s Articles
Baidu academic
Similar articles in Baidu academic
[Pan, Feng]'s Articles
[Zhou, Pengfei]'s Articles
[Zhou, Hai-Jun]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Pan, Feng]'s Articles
[Zhou, Pengfei]'s Articles
[Zhou, Hai-Jun]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.