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math.PR2024
Improving the convergence of Markov chains via permutations and projections
Michael C. H. Choi, Max Hird, Youjia Wang
This paper aims at improving the convergence to equilibrium of finite ergodic Markov chains via permutations and projections. First, we prove that a specific mixture of permuted Ma…
math.PR2024
Information-theoretic classification of the cutoff phenomenon in Markov processes
Youjia Wang, Michael C. H. Choi
We investigate the cutoff phenomenon for Markov processes under information divergences such as -divergences and Rényi divergences. We classify most common divergences into four…
math.PR2024
Geometry and factorization of multivariate Markov chains with applications to MCMC acceleration and approximate inference
Michael C. H. Choi, Youjia Wang, Geoffrey Wolfer
This paper analyzes the factorizability and geometry of transition matrices of multivariate Markov chains. Specifically, we demonstrate that the induced chains on factors of a prod…