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Finite Sample Properties of Adaptive Markov Chains via Curvature
Natesh S. Pillai, Aaron Smith
Adaptive Markov chains are an important class of Monte Carlo methods for sampling from probability distributions. The time evolution of adaptive algorithms depends on past samples,…
math.PR2013
Comparison Theory for Markov Chains on Different State Spaces and Application to Random Walk on Derangements
Aaron Smith
Let and be two Markov chains, on state spaces . In this paper, we discuss how to prove bounds on the spectrum of based on bounds on the spec…