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Bayesian model calibration using subset simulation

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Original languageEnglish
Title of host publicationRisk, Reliability and Safety: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016
Subtitle of host publicationInnovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016
EditorsLesley Walls, Matthew Revie, Tim Bedford
Pages50
Number of pages1
Publication statusPublished - 2017

Abstract

Complex engineering systems are usually investigated by running expensive computer models. However, high-dimensional input and computational cost often hinder the calibration of such models. History matching is a calibration strategy, which has been successfully applied in many disciplines. It starts with a specific observation of a physical system, then sequentially discards the implausible input set, that is, the range of input values that do not provide a good fit between the model output and the available data. The computational efficiency depends on Bayesian emulation, which provides a statistical approximation to the model output. At each iteration, the non-implausible domain is sampled to run the simulator until it finds the matching input domain. Because the non-implausible domain can be significantly smaller than the original space, this paper proposes to use an engineering reliability method: Subset Simulation. This strategy uses Markov Chain Monte Carlo to sample from a failure domain. Numerical examples are provided to show the potential of this sampling scheme for model calibration.

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Bayesian model calibration using subset simulation. / Gong, Z.T.; DiazDelaO, F.A.; Beer, M.
Risk, Reliability and Safety: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016. ed. / Lesley Walls; Matthew Revie; Tim Bedford. 2017. p. 50.

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Gong, ZT, DiazDelaO, FA & Beer, M 2017, Bayesian model calibration using subset simulation. in L Walls, M Revie & T Bedford (eds), Risk, Reliability and Safety: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016. pp. 50.
Gong, Z. T., DiazDelaO, F. A., & Beer, M. (2017). Bayesian model calibration using subset simulation. In L. Walls, M. Revie, & T. Bedford (Eds.), Risk, Reliability and Safety: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016 (pp. 50)
Gong ZT, DiazDelaO FA, Beer M. Bayesian model calibration using subset simulation. In Walls L, Revie M, Bedford T, editors, Risk, Reliability and Safety: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016. 2017. p. 50
Gong, Z.T. ; DiazDelaO, F.A. ; Beer, M. / Bayesian model calibration using subset simulation. Risk, Reliability and Safety: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016: Innovating Theory and Practice - Proceedings of the 26th European Safety and Reliability Conference, ESREL 2016. editor / Lesley Walls ; Matthew Revie ; Tim Bedford. 2017. pp. 50
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