TY - JOUR T1 - Annealed Importance Sampling for Ising Models with Mixed Boundary Conditions AU - Ying , Lexing JO - Journal of Computational Mathematics VL - 3 SP - 542 EP - 550 PY - 2023 DA - 2023/03 SN - 41 DO - http://doi.org/10.4208/jcm.2211-m2022-0172 UR - https://global-sci.org/intro/article_detail/jcm/21503.html KW - Ising model, Annealed importance sampling, Swendsen-Wang algorithm. AB -
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.