324 citations · 708 across the 37 of their papers we have counts for
38 papers
Bayesian Calibration with Functional Outputs Using Elastic Partial Matching
Paul Casteras, Julien Bect, Josselin Garnier +1
Calibrating a simulation model involves estimating its parameters by comparing model outputs with experimental data, so that simulation results faithfully reproduce the experimenta…
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…
Rational kernel-based interpolation for complex-valued frequency response functions
Julien Bect, Niklas Georg, Ulrich Römer +1
This work is concerned with the kernel-based approximation of a complex-valued function from data, where the frequency response function of a partial differential equation in the f…
Bayesian sequential design of computer experiments for quantile set inversion
Romain Ait Abdelmalek-Lomenech, Julien Bect, Vincent Chabridon +1
We consider an unknown multivariate function representing a system-such as a complex numerical simulator-taking both deterministic and uncertain inputs. Our objective is to estimat…