Function-Specific Mixing Times and Concentration Away from Equilibrium

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FUNCTION-SPECIFIC MIXING TIMES AND CONCENTRATION AWAY FROM EQUILIBRIUM By

Slow mixing is the central hurdle when working with Markov chains, especially those used for Monte Carlo approximations (MCMC). In many applications, it is only of interest to estimate the stationary expectations of a small set of functions, and so the usual definition of mixing based on total variation convergence may be too conservative. Accordingly, we introduce function-specific analogs of ...

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Slow mixing is the central hurdle when working with Markov chains, especially those used for Monte Carlo approximations (MCMC). In many applications, it is only of interest to to estimate the stationary expectations of a small set of functions, and so the usual definition of mixing based on total variation convergence may be too conservative. Accordingly, we introduce function-specific analogs ...

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ژورنال

عنوان ژورنال: Bayesian Analysis

سال: 2020

ISSN: 1936-0975

DOI: 10.1214/19-ba1151