Unknown

Dataset Information

0

Sequential Monte Carlo with transformations.


ABSTRACT: This paper examines methodology for performing Bayesian inference sequentially on a sequence of posteriors on spaces of different dimensions. For this, we use sequential Monte Carlo samplers, introducing the innovation of using deterministic transformations to move particles effectively between target distributions with different dimensions. This approach, combined with adaptive methods, yields an extremely flexible and general algorithm for Bayesian model comparison that is suitable for use in applications where the acceptance rate in reversible jump Markov chain Monte Carlo is low. We use this approach on model comparison for mixture models, and for inferring coalescent trees sequentially, as data arrives.

SUBMITTER: Everitt RG 

PROVIDER: S-EPMC7026014 | biostudies-literature | 2020

REPOSITORIES: biostudies-literature

altmetric image

Publications

Sequential Monte Carlo with transformations.

Everitt Richard G RG   Culliford Richard R   Medina-Aguayo Felipe F   Wilson Daniel J DJ  

Statistics and computing 20191117 3


This paper examines methodology for performing Bayesian inference sequentially on a sequence of posteriors on spaces of different dimensions. For this, we use sequential Monte Carlo samplers, introducing the innovation of using deterministic transformations to move particles effectively between target distributions with different dimensions. This approach, combined with adaptive methods, yields an extremely flexible and general algorithm for Bayesian model comparison that is suitable for use in  ...[more]

Similar Datasets

| S-EPMC3223366 | biostudies-literature
| S-EPMC5648148 | biostudies-literature
| S-EPMC6320595 | biostudies-literature
| S-EPMC5920299 | biostudies-literature
| S-EPMC5815633 | biostudies-literature
| S-EPMC5826560 | biostudies-literature
| S-EPMC6347199 | biostudies-literature
| S-EPMC5984585 | biostudies-literature
| S-EPMC7069631 | biostudies-literature
| S-EPMC6594993 | biostudies-literature