An adaptive response surface methodology based on active subspaces for mixed random and interval uncertainties

doi:10.1115/1.4045200

Details of Research Outputs

Title	An adaptive response surface methodology based on active subspaces for mixed random and interval uncertainties
Creator	Hu，Xingzhi 1; Duan，Yanhui 1; Wang，Ruili 2; Liang，Xiao 3; Chen，Jiangtao 1
Date Issued	2019-06-01
Source Publication	Journal of Verification, Validation and Uncertainty Quantification
ISSN	2377-2158
Volume	4 Issue:2
Abstract	The popular use of response surface methodology (RSM) accelerates the solutions of parameter identification and response analysis issues. However, accurate RSM models subject to aleatory and epistemic uncertainties are still challenging to construct, especially for multidimensional inputs, which is widely existed in real-world problems. In this study, an adaptive interval response surface methodology (AIRSM) based on extended active subspaces is proposed for mixed random and interval uncertainties. Based on the idea of subspace dimension reduction, extended active subspaces are given for mixed uncertainties, and interval active variable representation is derived for the construction of AIRSM. A weighted response surface strategy is introduced and tested for predicting the accurate boundary. Moreover, an interval dynamic correlation index is defined, and significance check and cross validation are reformulated in active subspaces to evaluate the AIRSM. The effectiveness of AIRSM is demonstrated on two test examples: three-dimensional nonlinear function and speed reducer design. They both possess a dominant one-dimensional active subspace with small estimation error, and the accuracy of AIRSM is verified by comparing with full-dimensional Monte Carlo simulates, thus providing a potential template for tackling high-dimensional problems involving mixed aleatory and interval uncertainties.
Keyword	Adaptive response surface Dimension reduction Interval uncertainty Random uncertainty Uncertainty quantification
DOI	10.1115/1.4045200
URL	View source
Language	英语English
Scopus ID	2-s2.0-85133680120
Citation statistics	Cited Times [WOS]:0 [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/10723
Collection	Research outside affiliated institution
Corresponding Author	Hu，Xingzhi
Affiliation	1.China Aerodynamics Research and Development Center,Mianyang,621000,China 2.Institute of Applied Physics and Computational Mathematics,Beijing,100094,China 3.School of Math,Shandong University of Science and Technology,Qingdao,266590,China
Recommended Citation GB/T 7714	Hu，Xingzhi,Duan，Yanhui,Wang，Ruiliet al. An adaptive response surface methodology based on active subspaces for mixed random and interval uncertainties[J]. Journal of Verification, Validation and Uncertainty Quantification, 2019, 4(2).
APA	Hu，Xingzhi, Duan，Yanhui, Wang，Ruili, Liang，Xiao, & Chen，Jiangtao. (2019). An adaptive response surface methodology based on active subspaces for mixed random and interval uncertainties. Journal of Verification, Validation and Uncertainty Quantification, 4(2).
MLA	Hu，Xingzhi,et al."An adaptive response surface methodology based on active subspaces for mixed random and interval uncertainties". Journal of Verification, Validation and Uncertainty Quantification 4.2(2019).

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