Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review

C Song, R Kawai - Probabilistic Engineering Mechanics, 2023 - Elsevier
Monte Carlo methods have attracted constant and even increasing attention in structural
reliability analysis with a wide variety of developments seamlessly presented over decades …

Small failure probability: principles, progress and perspectives

I Lee, U Lee, P Ramu, D Yadav, G Bayrak… - Structural and …, 2022 - Springer
Abstract Design of structural and multidisciplinary systems under uncertainties requires
estimation of their reliability or equivalently the probability of failure under the given …

Parallel Bayesian probabilistic integration for structural reliability analysis with small failure probabilities

Z Hu, C Dang, L Wang, M Beer - Structural Safety, 2024 - Elsevier
Bayesian active learning methods have emerged for structural reliability analysis and shown
more attractive features than existing active learning methods. However, it remains a …

Estimation of small failure probabilities by partially Bayesian active learning line sampling: Theory and algorithm

C Dang, MA Valdebenito, J Song, P Wei… - Computer Methods in …, 2023 - Elsevier
Line sampling (LS) has proved to be a highly promising advanced simulation technique for
assessing small failure probabilities. Despite the great interest in practical engineering …

Structural reliability analysis by line sampling: A Bayesian active learning treatment

C Dang, MA Valdebenito, MGR Faes, J Song, P Wei… - Structural Safety, 2023 - Elsevier
Line sampling has been demonstrated to be a promising simulation method for structural
reliability analysis, especially for assessing small failure probabilities. However, its practical …

[HTML][HTML] Bayesian active learning line sampling with log-normal process for rare-event probability estimation

C Dang, MA Valdebenito, P Wei, J Song… - Reliability Engineering & …, 2024 - Elsevier
Line sampling (LS) stands as a powerful stochastic simulation method for structural reliability
analysis, especially for assessing small failure probabilities. To further improve the …

[HTML][HTML] Partially Bayesian active learning cubature for structural reliability analysis with extremely small failure probabilities

C Dang, MGR Faes, MA Valdebenito, P Wei… - Computer Methods in …, 2024 - Elsevier
The Bayesian failure probability inference (BFPI) framework provides a well-established
Bayesian approach to quantifying our epistemic uncertainty about the failure probability …

Bayesian reinforcement learning reliability analysis

T Zhou, T Guo, C Dang, M Beer - Computer Methods in Applied Mechanics …, 2024 - Elsevier
A Bayesian reinforcement learning reliability method that combines Bayesian inference for
the failure probability estimation and reinforcement learning-guided sequential experimental …

Damage identification method for tied arch bridge suspender based on quasi-static displacement influence line

C Fan, Y Zheng, B Wang, Y Zhou, M Sun - Mechanical Systems and Signal …, 2023 - Elsevier
Preventive measures must be implemented to preclude severe damage to bridge structures
and thus avoid catastrophic accidents. A potential method for bridge damage identification is …

[HTML][HTML] Semi-Bayesian active learning quadrature for estimating extremely low failure probabilities

C Dang, M Beer - Reliability Engineering & System Safety, 2024 - Elsevier
The Bayesian failure probability inference (BFPI) framework provides a sound basis for
developing new Bayesian active learning reliability analysis methods. However, it is still …