Gibbs sampling of complex-valued distributions

Gibbs sampling of complex-valued distributions
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复值分布的吉布斯采样

DOI:
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发表时间:
2015
期刊:
影响因子:
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通讯作者:
L. L. Salcedo
L. L. Salcedo
中科院分区:
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文献类型:
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作者:
L. L. Salcedo

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探索了复值分布蒙特卡罗抽样的一种新方法。该方法基于热浴法,用复平面上条件概率的正表示来代替条件概率。文中还介绍了构造这种表示的有效方法。在小格子和大格子上用二次最近邻复耦合的$lambdaphi^4$理论测试了算法的性能。该方法适用于中等复杂的耦合,重现重权和复朗之万结果,并满足各种Schwinger-Dyson关系。
A new technique is explored for the Monte Carlo sampling of complex-valued distributions. The method is based on a heat bath approach where the conditional probability is replaced by a positive representation of it on the complex plane. Efficient ways to construct such representations are also introduced. The performance of the algorithm is tested on small and large lattices with a $lambdaphi^4$ theory with quadratic nearest-neighbor complex coupling. The method works for moderate complex couplings, reproducing reweighting and complex Langevin results and fulfilling various Schwinger-Dyson relations.
DOI: 10.1103/physrevlett.102.131601
发表时间: 2009
影响因子: 8.6
作者:
Aarts G
通讯作者: Aarts G