Sampling from the ferromagnetic Ising model with external fields

Sampling from the ferromagnetic Ising model with external fields
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使用外部场从铁磁 Ising 模型中采样

DOI:
10.48550/arxiv.2205.01985
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发表时间:
2022
期刊:
ArXiv
影响因子:
--
通讯作者:
Jiaheng Wang
Jiaheng Wang
中科院分区:
--
文献类型:
--
作者:
Weiming Feng;Heng Guo;Jiaheng Wang

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.研究了具有一致外场的铁磁伊辛模型的抽样问题.我们证明了相应的加权随机簇模型的边-扩散动力学是快速混合的.结果包括快速混合的Swendsen-Wang动力学和完美的采样器为两个模型。
. We study the sampling problem for ferromagnetic Ising models with consistent external fields. We show that the edge-flipping dynamics for a corresponding weighted random cluster model is rapidly mixing. Consequences include rapid mixing of the Swendsen-Wang dynamics and perfect sam-plers for both models.
DOI: 10.1145/3406325.3451035
发表时间: 2020-11
期刊: Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing
影响因子: --
作者:
Zongchen Chen;Kuikui Liu;Eric Vigoda
通讯作者: Zongchen Chen;Kuikui Liu;Eric Vigoda
Swendsen-Wang 比单键动力学更快
DOI: 10.1137/120864003
发表时间: 2014
期刊: SIAM J. Discret. Math.
影响因子: --
作者:
M. Ullrich
通讯作者: M. Ullrich