5 papers
Active learning strategy for excursion-set confidence regions of functional simulator outputs
Lucas Brunel, Mathieu Balesdent, Loïc Brevault +2
Estimating excursion set confidence regions seeks to identify regions where a function may exceed some threshold with a given confidence level. This paper focuses on estimating suc…
Optimal Linear Interpolation under Differential Information: application to the prediction of perfect flows
Soumyodeep Mukhopadhyay, Didier Rullière, Rodolphe Le Riche +3
Approximation of functions satisfying partial differential equations (PDEs) is paramount for simulation of physical fluid flows and other problems in physics. Recently, physics-inf…
Scalable multitask Gaussian processes for complex mechanical systems with functional covariates
Razak Christophe Sabi Gninkou, Andrés F. López-Lopera, Franck Massa +1
Functional covariates arise in many scientific and engineering applications when model inputs take the form of time-dependent or spatially distributed profiles, such as varying bou…
Augmented Quantization: Mixture Models for Risk-Oriented Sensitivity Analysis
Charlie Sire, Didier Rullière, Rodolphe Le Riche +3
A central question in risk analysis is to identify the factors that drive the system toward a specific hazardous outcome, such as the exceedance of a given threshold. When relying…
A survey on multi-fidelity surrogates for simulators with functional outputs: unified framework and benchmark
Lucas Brunel, Mathieu Balesdent, Loïc Brevault +2
Multi-fidelity surrogate models combining dimensionality reduction and an intermediate surrogate in the reduced space allow a cost-effective emulation of simulators with functional…