Regeneration-enriched Markov processes with application to Monte Carlo

AQ Wang, M Pollock, GO Roberts, D Steinsaltz - 2021 - projecteuclid.org
We study a class of Markov processes that combine local dynamics, arising from a fixed
Markov process, with regenerations arising at a state-dependent rate. We give conditions …

Quasi-stationary Monte Carlo and the ScaLE algorithm

M Pollock, P Fearnhead, AM Johansen… - Journal of the Royal …, 2020 - academic.oup.com
This paper introduces a class of Monte Carlo algorithms which are based on the simulation
of a Markov process whose quasi-stationary distribution coincides with a distribution of …

Sampling using adaptive regenerative processes

H McKimm, A Wang, M Pollock, C Robert, G Roberts - Bernoulli, 2025 - projecteuclid.org
The supplementary material (McKimm et al., 2024) provides: a discussion of the output of
Restore samplers, details of how to make a pre-transformation π, information on the Logistic …

Concatenation of Markov processes

S Holl - arXiv preprint arXiv:2410.17384, 2024 - arxiv.org
We investigate the concatenation of Markov processes. Our primary concern is to utilize
processes constructed in this manner for Monte Carlo integration. To enable this using …