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Autore principale: Sherlock, Chris
Natura: Preprint
Pubblicazione: 2018
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Accesso online:https://arxiv.org/abs/1809.01903
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author Sherlock, Chris
author_facet Sherlock, Chris
contents This pedagogical document explains three variational representations that are useful when comparing the efficiencies of reversible Markov chains: (i) the Dirichlet form and the associated variational representations of the spectral gaps; (ii) a variational representation of the asymptotic variance of an ergodic average; and (iii) the conductance, and the equivalence of a non-zero conductance to a non-zero right spectral gap.
format Preprint
id arxiv_https___arxiv_org_abs_1809_01903
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Reversible Markov chains: variational representations and ordering
Sherlock, Chris
Statistics Theory
Computation
65C40
This pedagogical document explains three variational representations that are useful when comparing the efficiencies of reversible Markov chains: (i) the Dirichlet form and the associated variational representations of the spectral gaps; (ii) a variational representation of the asymptotic variance of an ergodic average; and (iii) the conductance, and the equivalence of a non-zero conductance to a non-zero right spectral gap.
title Reversible Markov chains: variational representations and ordering
topic Statistics Theory
Computation
65C40
url https://arxiv.org/abs/1809.01903