Deep reliability learning with latent adaptation for design optimization under uncertainty
Document Type
Article
Publication Date
7-1-2022
Department
Department of Mechanical Engineering-Engineering Mechanics
Abstract
Deep learning may encounter the generalization issue for uncertainty propagation due to the limited number of training data, especially when the training and test sample points follow different probability distributions. To overcome this challenge, this paper presents a latent adaptation-based deep learning approach to enhance the accuracy of deep networks for reliability-based design optimization under data constraint. By collecting training data from a source domain, an autoencoder is first utilized to introduce a meaningful low-dimensional latent space. Then a feedforward neural network is trained to link the original inputs to latent variables. To address the generalization issue, a latent adaptation strategy is proposed to link the latent variables across the target and source domains. A Gaussian process model is then constructed to learn the limit state function for the target domain in the latent space. Monte Carlo simulation is employed for reliability analysis in target domains. The latent adaptation-based deep learning is then integrated with reliability-based design optimization, and the effectiveness of the proposed approach is demonstrated through two examples.
Publication Title
Computer Methods in Applied Mechanics and Engineering
Recommended Citation
Li, M.,
&
Wang, Z.
(2022).
Deep reliability learning with latent adaptation for design optimization under uncertainty.
Computer Methods in Applied Mechanics and Engineering,
397.
http://doi.org/10.1016/j.cma.2022.115130
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/16137