PARALLEL ADAPTIVE MULTILEVEL SAMPLING ALGORITHMS FOR THE BAYESIAN ANALYSIS OF MATHEMATICAL MODELS

Ernesto Prudencio, Sai Hung Cheung

Research output: Contribution to journalArticlepeer-review

Abstract

In recent years, Bayesian model updating techniques based on measured data have been applied to many engineering and applied science problems. At the same time, parallel computational platforms are becoming increasingly more powerful and are being used more frequently by the engineering and scientific communities. Bayesian techniques usually require the evaluation of multi-dimensional integrals related to the posterior probability density function (PDF) of uncertain model parameters. The fact that such integrals cannot be computed analytically motivates the research of stochastic simulation methods for sampling posterior PDFs. One such algorithm is the adaptive multilevel stochastic simulation algorithm (AMSSA). In this paper we discuss the parallelization of AMSSA, formulating the necessary load balancing step as a binary integer programming problem. We present a variety of results showing the effectiveness of load balancing on the overall performance of AMSSA in a parallel computational environment.
Original languageEnglish (US)
Pages (from-to)215-237
Number of pages23
JournalInternational Journal for Uncertainty Quantification
Volume2
Issue number3
DOIs
StatePublished - 2012
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This research was supported by the Department of Energy (National Nuclear Security Administration), under the Predictive Science Academic Alliance Program (PSAAP), Award Number DE-FC52-08NA28615, and by the King Abdullah University of Science and Technology (KAUST), under the Academic Excellence Alliance (AEA) program. E.E.P. was also partially supported by Sandia National Laboratories under Contract Numbers 1017123 and 1086312. All calculations were performed on the RANGER high-performance computer at the Texas Advanced Computing Center (TACC) [45]. The authors are also thankful to two anonymous referees, whose comments and questions helped them to improve their paper.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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