期刊
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
卷 139, 期 -, 页码 -出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2019.106399
关键词
Deep learning; Reliability; Dimension reduction; Uncertainty quantification; Autoencoder; Gaussian process
High-dimensional reliability analysis remains a grand challenge since most of the existing methods suffer from the curse of dimensionality. This paper introduces a novel high-dimensional data abstraction (HDDA) framework for dimension reduction in reliability analysis. It first involves training of a failure-informed autoencoder network to reduce the dimensionality of the high-dimensional input space, aiming at creating a distinguishable failure surface in a low-dimensional latent space. Then a deep feedforward neural network is constructed to connect the high-dimensional input parameters with the low-dimensional latent variables. With the HDDA framework, the high-dimensional reliability can be estimated by capturing the limit state function in the latent space using Gaussian process regression. To manage the uncertainty due to lack of training data, a distancebased sampling strategy is developed for iteratively identifying critical training samples, which improves the accuracy of the high-dimensional reliability estimations. Three high-dimensional examples are used to demonstrate the effectiveness of the proposed approach. (C) 2019 Elsevier Ltd. All rights reserved.
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