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Volume 41, Issue 3
Annealed Importance Sampling for Ising Models with Mixed Boundary Conditions

Lexing Ying

DOI: 10.4208/jcm.2211-m2022-0172

J. Comp. Math., 41 (2023), pp. 542-550.

Published online: 2023-03

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  • 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.

  • Keywords

Ising model, Annealed importance sampling, Swendsen-Wang algorithm.

  • AMS Subject Headings

82B20, 82B80

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

lexing@stanford.edu (Lexing Ying)

  • BibTex
  • RIS
  • TXT
@Article{JCM-41-542, author = {Ying , Lexing}, title = {Annealed Importance Sampling for Ising Models with Mixed Boundary Conditions}, journal = {Journal of Computational Mathematics}, year = {2023}, volume = {41}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2211-m2022-0172}, url = {http://global-sci.org/intro/article_detail/jcm/21503.html} }
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.

Ying , Lexing. (2023). Annealed Importance Sampling for Ising Models with Mixed Boundary Conditions. Journal of Computational Mathematics. 41 (3). 542-550. doi:10.4208/jcm.2211-m2022-0172
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