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 …
reliability analysis with a wide variety of developments seamlessly presented over decades …
Small failure probability: principles, progress and perspectives
Abstract Design of structural and multidisciplinary systems under uncertainties requires
estimation of their reliability or equivalently the probability of failure under the given …
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
Bayesian active learning methods have emerged for structural reliability analysis and shown
more attractive features than existing active learning methods. However, it remains a …
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
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 …
assessing small failure probabilities. Despite the great interest in practical engineering …
Structural reliability analysis by line sampling: A Bayesian active learning treatment
Line sampling has been demonstrated to be a promising simulation method for structural
reliability analysis, especially for assessing small failure probabilities. However, its practical …
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
Line sampling (LS) stands as a powerful stochastic simulation method for structural reliability
analysis, especially for assessing small failure probabilities. To further improve the …
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
The Bayesian failure probability inference (BFPI) framework provides a well-established
Bayesian approach to quantifying our epistemic uncertainty about the failure probability …
Bayesian approach to quantifying our epistemic uncertainty about the failure probability …
Bayesian reinforcement learning reliability analysis
A Bayesian reinforcement learning reliability method that combines Bayesian inference for
the failure probability estimation and reinforcement learning-guided sequential experimental …
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 …
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
The Bayesian failure probability inference (BFPI) framework provides a sound basis for
developing new Bayesian active learning reliability analysis methods. However, it is still …
developing new Bayesian active learning reliability analysis methods. However, it is still …