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Parallelizing MCMC sampling via space partitioning.

Authors :
Hafych, Vasyl
Eller, Philipp
Schulz, Oliver
Caldwel, Allen
Source :
Statistics & Computing; Aug2022, Vol. 32 Issue 4, p1-14, 14p
Publication Year :
2022

Abstract

Efficient sampling of many-dimensional and multimodal density functions is a task of great interest in many research fields. We describe an algorithm that allows parallelizing inherently serial Markov chain Monte Carlo (MCMC) sampling by partitioning the space of the function parameters into multiple subspaces and sampling each of them independently. The samples of the different subspaces are then reweighted by their integral values and stitched back together. This approach allows reducing sampling wall-clock time by parallel operation. It also improves sampling of multimodal target densities and results in less correlated samples. Finally, the approach yields an estimate of the integral of the target density function. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09603174
Volume :
32
Issue :
4
Database :
Complementary Index
Journal :
Statistics & Computing
Publication Type :
Academic Journal
Accession number :
157674891
Full Text :
https://doi.org/10.1007/s11222-022-10116-z