Irreversible simulated tempering algorithm with skew detailed balance conditions: a learning method of weight factors in simulated tempering

29th Workshop on Recent Developments in Computer Simulation Studies in Condensed Matter Physics

物理学;计算机科学

Sakai, Yuji^1 ; Hukushima, Koji^1,2

Department of Basic Science, Graduate School of Arts and Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo

153-8902, Japan^1

Center for Materials Research by Information Integration, National Institute for Materials Science, 1-2-1 Sengen, Ibaraki, Tsukuba

305-0047, Japan^2

关键词: Detailed balance;    Ferromagnetic Ising models;    Learning methods;    Simulated tempering;    Weight factor;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/750/1/012013/pdf
DOI  :  10.1088/1742-6596/750/1/012013

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Recent numerical studies concerning simulated tempering algorithm without the detailed balance condition are reviewed and an irreversible simulated tempering algorithm based on the skew detailed balance condition is described. A method to estimate weight factors in simulated tempering by sequentially implementing the irreversible simulated tempering algorithm is studied in comparison with the conventional simulated tempering algorithm satisfying the detailed balance condition. It is found that the total amount of Monte Carlo steps for estimating the weight factors is successfully reduced by applying the proposed method to an two-dimensional ferromagnetic Ising model.