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

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

Authors

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

Research Organisations

External Research Organisations

  • KU Leuven
  • Northwestern Polytechnical University

Details

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
Pages4985-4998
Number of pages14
ISBN (electronic)9789082893151
Publication statusPublished - 12 Sept 2022
EventISMA2022 - International Conference on Noise and Vibration Engineering; USD2022 - International Conference on Uncertainty in Structural Dynamics - Leuven, Belgium
Duration: 12 Sept 202214 Sept 2022

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.

ASJC Scopus subject areas

Cite this

A new scheme combining adaptive Kriging with adaptative variance-reduction using Gaussian mixture importance sampling. / Persoons, A.; Wei, P.; Bogaerts, L. et al.
Proceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics. ed. / W. Desmet; B. Pluymers; D. Moens; S. Neeckx. 2022. p. 4985-4998.

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

Persoons, A, Wei, P, Bogaerts, L, Moens, D, Broggi, M & Beer, M 2022, A new scheme combining adaptive Kriging with adaptative variance-reduction using Gaussian mixture importance sampling. in W Desmet, B Pluymers, D Moens & S Neeckx (eds), Proceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics. pp. 4985-4998, ISMA2022 - International Conference on Noise and Vibration Engineering; USD2022 - International Conference on Uncertainty in Structural Dynamics, Leuven, Belgium, 12 Sept 2022. https://doi.org/10.5281/zenodo.7568688
Persoons, A., Wei, P., Bogaerts, L., Moens, D., Broggi, M., & Beer, M. (2022). A new scheme combining adaptive Kriging with adaptative variance-reduction using Gaussian mixture importance sampling. In W. Desmet, B. Pluymers, D. Moens, & S. Neeckx (Eds.), Proceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics (pp. 4985-4998) https://doi.org/10.5281/zenodo.7568688
Persoons A, Wei P, Bogaerts L, Moens D, Broggi M, Beer M. A new scheme combining adaptive Kriging with adaptative variance-reduction using Gaussian mixture importance sampling. In Desmet W, Pluymers B, Moens D, Neeckx S, editors, Proceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics. 2022. p. 4985-4998 doi: 10.5281/zenodo.7568688
Persoons, A. ; Wei, P. ; Bogaerts, L. et al. / A new scheme combining adaptive Kriging with adaptative variance-reduction using Gaussian mixture importance sampling. Proceedings of ISMA 2022 - International Conference on Noise and Vibration Engineering and USD 2022 - International Conference on Uncertainty in Structural Dynamics. editor / W. Desmet ; B. Pluymers ; D. Moens ; S. Neeckx. 2022. pp. 4985-4998
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