Knowledge Management System of Institute of Theoretical Physics, CAS
Wu, DA; Wang, L1,2,3; Zhang, P4
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| Solving Statistical Mechanics Using Variational Autoregressive Networks | |
| Source Publication | PHYSICAL REVIEW LETTERS
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| Language | 英语 |
| Keyword | SOLVABLE MODEL |
| Abstract | We 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 | |
| ISSN | 0031-9007 |
| Volume | 122Issue:8Pages:80602 |
| Subject Area | Physics |
| MOST Discipline Catalogue | Physics, Multidisciplinary |
| DOI | 10.1103/PhysRevLett.122.080602 |
| Indexed By | SCIE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/23478 |
| Collection | SCI期刊论文 计算平台成果 |
| Affiliation | 1.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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Solving Statistical （406KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | Application Full Text | |
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