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Wu, DA; Wang, L1,2,3; Zhang, P4
Solving Statistical Mechanics Using Variational Autoregressive Networks
Source PublicationPHYSICAL REVIEW LETTERS
Language英语
KeywordSOLVABLE MODEL
AbstractWe propose a general framework for solving statistical mechanics of systems with finite size. The approach extends the celebrated variational mean-field approaches using autoregressive neural networks, which support direct sampling and exact calculation of normalized probability of configurations. It computes variational free energy, estimates physical quantities such as entropy, magnetizations and correlations, and generates uncorrelated samples all at once. Training of the network employs the policy gradient approach in reinforcement learning, which unbiasedly estimates the gradient of variational parameters. We apply our approach to several classic systems, including 2D Ising models, the Hopfield model, the SherringtonKirkpatrick model, and the inverse Ising model, for demonstrating its advantages over existing variational mean-field methods. Our approach sheds light on solving statistical physics problems using modern deep generative neural networks.
2019
ISSN0031-9007
Volume122Issue:8Pages:80602
Subject AreaPhysics
MOST Discipline CataloguePhysics, Multidisciplinary
DOI10.1103/PhysRevLett.122.080602
Indexed BySCIE
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Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/23478
CollectionSCI期刊论文
Affiliation1.Peking Univ, Sch Phys, Beijing 100871, Peoples R China
2.Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China
4.Songshan Lake Mat Lab, Dongguan 523808, Guangdong, Peoples R China
5.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Wu, DA,Wang, L,Zhang, P. Solving Statistical Mechanics Using Variational Autoregressive Networks[J]. PHYSICAL REVIEW LETTERS,2019,122(8):80602.
APA Wu, DA,Wang, L,&Zhang, P.(2019).Solving Statistical Mechanics Using Variational Autoregressive Networks.PHYSICAL REVIEW LETTERS,122(8),80602.
MLA Wu, DA,et al."Solving Statistical Mechanics Using Variational Autoregressive Networks".PHYSICAL REVIEW LETTERS 122.8(2019):80602.
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