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- Title
Estimating Failure Probability with Neural Operator Hybrid Approach.
- Authors
Li, Mujing; Feng, Yani; Wang, Guanjie
- Abstract
Evaluating failure probability for complex engineering systems is a computationally intensive task. While the Monte Carlo method is easy to implement, it converges slowly and, hence, requires numerous repeated simulations of a complex system to generate sufficient samples. To improve the efficiency, methods based on surrogate models are proposed to approximate the limit state function. In this work, we reframe the approximation of the limit state function as an operator learning problem and utilize the DeepONet framework with a hybrid approach to estimate the failure probability. The numerical results show that our proposed method outperforms the prior neural hybrid method.
- Subjects
MONTE Carlo method; OPERATOR functions; ENGINEERING systems; APPROXIMATION theory; RESOLVENTS (Mathematics)
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 12, p2762
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11122762