Spectral Bounds for Certain Two-Factor Non-Reversible MCMC Algorithms

Spectral Bounds for Certain Two-Factor Non-Reversible MCMC Algorithms
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某些二因子不可逆 MCMC 算法的谱界

DOI:
10.1214/ecp.v20-4528
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发表时间:
2015
影响因子:
0.5
通讯作者:
P. Rosenthal
P. Rosenthal
中科院分区:
数学4区
文献类型:
--
作者:
J. Rosenthal;P. Rosenthal

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We prove that the Markov operator corresponding to the two-variable, non-reversible Gibbs sampler has spectrum which is entirely real and non-negative, thus providing a first step towards the spectral analysis of MCMC algorithms in the non-reversible case.  We also provide an extension to Metropolis-Hastings components, and connect the spectrum of an algorithm to the spectrum of its marginal chain.
DOI: 10.1214/ecp.v18-2507
发表时间: 2012-12
影响因子: 0.5
作者:
Daniel Rudolf;Mario Ullrich
通讯作者: Daniel Rudolf;Mario Ullrich