Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
3 papers
Directional subset simulation method for reliability analysis
Oindrila Kanjilal, Julien Bect
Estimating the probabilities of rare failure events is a key challenge in the reliability analysis of physical systems. Subset simulation (SS) is a very popular adaptive Monte Carl…
Uncertainty functionals revisited: Concavity and Jensen's inequality
Julien Bect, Xujia Zhu
This article presents a theoretical study of uncertainty functionals on general measurable spaces. These functionals are fundamental in experimental design and global sensitivity a…
Bayesian Active Learning of (small) Quantile Sets through Expected Estimator Modification
Romain Ait Abdelmalek-Lomenech, Julien Bect, Emmanuel Vazquez
Given a multivariate function taking deterministic and uncertain inputs, we consider the problem of estimating a quantile set: a set of deterministic inputs for which the probabili…