Bayesian updating with adaptive, uncertainty-informed subset simulations: High-fidelity updating with multiple observations

Estimation of small failure probabilities in high dimensions by subset simulation

Siu‐Kui Au, James L. Beck · Probabilistic Engineering Mechanics · 2001 · 2.4K citations

Business, Biostatistics, Probability Theory +15

AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation

Benjamin Echard, Nicolas Gayton, Maurice Lemaire · Structural Safety · 2011 · 1.9K citations

Computing, Computational Engineering, Machine Learning +13

Updating Models and Their Uncertainties. I: Bayesian Statistical Framework

James L. Beck, Lambros S. Katafygiotis · Journal of Engineering Mechanics · 1998 · 1.5K citations

Computing, Computational Engineering, Statistical Modeling +15

Bayesian Updating of Structural Models and Reliability using Markov Chain Monte Carlo Simulation

James L. Beck, Siu‐Kui Au · Journal of Engineering Mechanics · 2002 · 848 citations

Business, Computational Engineering, Systems Engineering +17

Transitional Markov Chain Monte Carlo Method for Bayesian Model Updating, Model Class Selection, and Model Averaging

Jianye Ching, Ying‐Chu Chen · Journal of Engineering Mechanics · 2007 · 833 citations

Business, Computer Science, Mathematics +17