Annealed Importance Sampling for Ising Models with Mixed Boundary Conditions

Annealed Importance Sampling for Ising Models with Mixed Boundary Conditions

Year:    2023

Author:    Lexing Ying

Journal of Computational Mathematics, Vol. 41 (2023), Iss. 3 : pp. 542–550

Abstract

This note introduces a method for sampling Ising models with mixed boundary conditions. As an application of annealed importance sampling and the Swendsen-Wang algorithm, the method adopts a sequence of intermediate distributions that keeps the temperature fixed but turns on the boundary condition gradually. The numerical results show that the variance of the sample weights is relatively small.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.2211-m2022-0172

Journal of Computational Mathematics, Vol. 41 (2023), Iss. 3 : pp. 542–550

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Ising model Annealed importance sampling Swendsen-Wang algorithm.

Author Details

Lexing Ying