Title
Optimizing the asymptotic convergence rate of the Diaconis--Holmes--Neal sampler
Abstract
We consider the problem of optimizing the asymptotic convergence rate of a parameter-dependent nonreversible Markov chain. We begin with a single-parameter case studied by Diaconis, Holmes and Neal and then introduce multiple parameters. We use nonsmooth analysis to investigate whether the presence of multiple parameters allows a faster asymptotic convergence rate, and argue that for a specific parameterization, it does not, at least locally.
Year
DOI
Venue
2007
10.1016/j.aam.2006.05.003
Advances in Applied Mathematics
Keywords
Field
DocType
asymptotic convergence rate,specific parameterization,single-parameter case,nonsmooth analysis,neal sampler,multiple parameter,parameter-dependent nonreversible markov chain,convergence rate,variational analysis,markov chain
Applied mathematics,Variational analysis,Parametrization,Mathematical analysis,Markov chain,Spectral function,Rate of convergence,Mathematics,Calculus
Journal
Volume
Issue
ISSN
38
3
0196-8858
Citations 
PageRank 
References 
2
0.54
9
Authors
2
Name
Order
Citations
PageRank
Kranthi K. Gade120.54
Michael L. Overton2634590.15