Bayesian updating with two-step parallel Bayesian optimization and quadrature



Kitahara, Masaru, Dang, Chao and Beer, Michael ORCID: 0000-0002-0611-0345
(2023) Bayesian updating with two-step parallel Bayesian optimization and quadrature. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 403. p. 115735.

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Abstract

This work proposes a Bayesian updating approach, called parallel Bayesian optimization and quadrature (PBOQ). It is rooted in Bayesian updating with structural reliability methods (BUS) and offers a coherent Bayesian approach for the BUS analysis by assuming Gaussian process priors. The first step of the method, i.e., parallel Bayesian optimization, effectively explores a constant c in BUS by a novel parallel infill sampling strategy. The second step (parallel Bayesian quadrature) then infers the posterior distribution by another parallel infill sampling strategy using subset simulation. The proposed approach enables to make the fullest use of prior knowledge and parallel computing, resulting in a substantial reduction of the computational burden of model updating. Four numerical examples with varying complexity are investigated for demonstrating the proposed method against several existing methods. The results show the potential benefits by advocating a coherent Bayesian fashion to the BUS analysis.

Item Type: Article
Uncontrolled Keywords: Bayesian model updating, Bayesian optimization, Bayesian quadrature, Gaussian process, Parallel computing
Depositing User: Symplectic Admin
Date Deposited: 28 Nov 2022 15:55
Last Modified: 12 Nov 2023 02:30
DOI: 10.1016/j.cma.2022.115735
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3166433