A new scheme combining adaptive Kriging with adaptative variance-reduction using Gaussian mixture importance sampling

A. Persoons, P. Wei, L. Bogaerts, D. Moens, M. Broggi, M. Beer

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This article describes a new adaptive Kriging method designed to alleviate the limitations of other related approaches encounter in cases of extremely rare failure events. The main idea is to iteratively reduce both surrogate modelling error and sampling error. To do so the adaptive Kriging framework is associated with the multiple adaptive importance sampling scheme where the auxiliary distribution is iteratively built as a near-optimal Gaussian mixture. The estimator associated with he Gaussian mixture importance sampling is given as well as a stopping criterion based on both the estimated sampling and modelling error. The performances are finally illustrated on two benchmark problems.

Original languageEnglish
Title of host publicationProceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics
EditorsW. Desmet, B. Pluymers, D. Moens, S. Neeckx
PublisherKU Leuven, Departement Werktuigkunde
Pages4985-4998
Number of pages14
ISBN (Electronic)9789082893151
StatePublished - 2022
Event30th International Conference on Noise and Vibration Engineering, ISMA 2022 and 9th International Conference on Uncertainty in Structural Dynamics, USD 2022 - Leuven, Belgium
Duration: 12 Sep 202214 Sep 2022

Publication series

NameProceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics

Conference

Conference30th International Conference on Noise and Vibration Engineering, ISMA 2022 and 9th International Conference on Uncertainty in Structural Dynamics, USD 2022
Country/TerritoryBelgium
CityLeuven
Period12/09/2214/09/22

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