Confidence-driven design optimization using Gaussian process metamodeling with insufficient data
Document Type
Article
Publication Date
12-1-2018
Abstract
Copyright © 2018 by ASME. To reduce the computational cost, surrogate models have been widely used to replace expensive simulations in design under uncertainty. However, most existing methods may introduce significant errors when the training data is limited. This paper presents a confidence-driven design optimization (CDDO) framework to manage surrogate model uncertainty for probabilistic design optimization. In this study, a confidence-based Gaussian process (GP) modeling technique is developed to handle the surrogate model uncertainty in system performance predictions by taking both the prediction mean and variance into account. With a target confidence level, the confidence-based GP models are used to reduce the probability of underestimating the probability of failure in reliability assessment. In addition, a new sensitivity analysis method is proposed to approximate the sensitivity of the reliability at the target confidence level with respect to design variables, and thus facilitate the CDDO framework. Three case studies are introduced to demonstrate the effectiveness of the proposed approach.
Publication Title
Journal of Mechanical Design, Transactions of the ASME
Recommended Citation
Li, M.,
&
Wang, Z.
(2018).
Confidence-driven design optimization using Gaussian process metamodeling with insufficient data.
Journal of Mechanical Design, Transactions of the ASME,
140(12).
http://doi.org/10.1115/1.4040985
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/11740