 Variational Bayesian inference-based polynomial chaos expansion: Application to time-variantreliability analysisYicheng Zhou, Zhenzhou Lu, Yan Shi, Changcong Zhou and Wanying Yun Journal of Risk and Reliability, 2022, vol. 236, issue 6, 1037-1056 Abstract: In the time-variant systems, random variables, stochastic processes, and time parameter are regarded as the inputs of time-variant computational model. This results in an even more computationally expensive model what makes the time-variant reliability analysis a challenging task. This paper addresses the problem by presenting an active learning strategy using polynomial chaos expansion (PCE) in an augmented reliability space. We first propose a new algorithm that determines the sparse representation applying statistical threshold to determine the significant terms of the PCE model. This adaptive decision test is integrated into the variational Bayesian method, improving its accuracy and reducing convergence time. The proposed method uses a composite criterion to identify the most significant time instants and the associated training points to enrich the experimental design. By simulations, we compare the performance of the proposed method with respect to other existing time-variant reliability analysis methods. Keywords: Structural reliability; probabilistic methods; performance modeling; modeling/simulation; reliability optimization (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:236:y:2022:i:6:p:1037-1056 DOI: 10.1177/1748006X211055534 Access Statistics for this article More articles in Journal of Risk and Reliability |
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