Solving Statistical Mechanics Using Variational Autoregressive Networks
文献类型：期刊论文
| 作者 | Wu, DA; Wang, L3,4,5; Zhang, P1
|
| 刊名 | PHYSICAL REVIEW LETTERS
 |
| 出版日期 | 2019 |
| 卷号 | 122期号:8页码:80602 |
| 关键词 | SOLVABLE MODEL |
| ISSN号 | 0031-9007 |
| DOI | 10.1103/PhysRevLett.122.080602 |
| 英文摘要 | 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. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/23478]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 计算平台成果 |
| 作者单位 | 1.Songshan Lake Mat Lab, Dongguan 523808, Guangdong, Peoples R China 2.Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, Beijing 100190, Peoples R China 3.Peking Univ, Sch Phys, Beijing 100871, Peoples R China 4.Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：理论物理研究所
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