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Annealed importance sampling for Ising models with mixed boundary conditions

Numerical Analysis 2022-05-19 v1 Numerical Analysis Statistics Theory Statistics Theory

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

Cite

@article{arxiv.2205.08665,
  title  = {Annealed importance sampling for Ising models with mixed boundary conditions},
  author = {Lexing Ying},
  journal= {arXiv preprint arXiv:2205.08665},
  year   = {2022}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2205.07226

R2 v1 2026-06-24T11:20:35.633Z