activity
20132026
most citedTo be or not to be intrusive? The solution of parametric and stochastic equations - the "plain vanilla" Galerkin case

36 citations · 70 across the 8 of their papers we have counts for

collaborators

9 papers

cs.LG2026

Bounding Box Anomaly Scoring for simple and efficient Out-of-Distribution detection

Mohamed Bahi Yahiaoui, Geoffrey Daniel, Loïc Giraldi +2

Out-of-distribution (OOD) detection aims to identify inputs that differ from the training distribution in order to reduce unreliable predictions by deep neural networks. Among post…

math.NA2024

Ensemble Data Assimilation for Particle-based Methods

Marius Duvillard, Loïc Giraldi, Olivier Le Maître

This study presents a novel approach to applying data assimilation techniques for particle-based simulations using the Ensemble Kalman Filter. While data assimilation methods have…

stat.CO2023★ 1 cited

A Gaussian process and linear-based framework for computing cut distributions in modular Bayesian calibration of two chained computer models

Oumar Baldé, Guillaume Damblin, Amandine Marrel +2

Computer models are widely used in science and engineering to simulate complex systems. However, these models are affected by several sources of uncertainty, which may limit their…

cs.LG2020★ 1 cited

Conditional Latent Block Model: a Multivariate Time Series Clustering Approach for Autonomous Driving Validation

Etienne Goffinet, Anthony Coutant, Mustapha Lebbah +2

Autonomous driving systems validation remains one of the biggest challenges car manufacturers must tackle in order to provide safe driverless cars. The high complexity stems from s…

math.ST2017

Optimal projection of observations in a Bayesian setting

Loïc Giraldi, Olivier P. Le Maître, Ibrahim Hoteit +1

Optimal dimensionality reduction methods are proposed for the Bayesian inference of a Gaussian linear model with additive noise in presence of overabundant data. Three different op…

math.NA2017★ 2 cited

Weakly intrusive low-rank approximation method for nonlinear parameter-dependent equations

Loic Giraldi, Anthony Nouy

This paper presents a weakly intrusive strategy for computing a low-rank approximation of the solution of a system of nonlinear parameter-dependent equations. The proposed strategy…

math.NA2014★ 18 cited

To be or not to be intrusive? The solution of parametric and stochastic equations --- Proper Generalized Decomposition

Loïc Giraldi, Dishi Liu, Hermann G. Matthies +1

A numerical method is proposed to compute a low-rank Galerkin approximation to the solution of a parametric or stochastic equation in a non-intrusive fashion. The considered nonlin…

math.NA2013★ 36 cited

To be or not to be intrusive? The solution of parametric and stochastic equations - the "plain vanilla" Galerkin case

Loïc Giraldi, Alexander Litvinenko, Dishi Liu +2

In parametric equations - stochastic equations are a special case - one may want to approximate the solution such that it is easy to evaluate its dependence of the parameters. Inte…

math.NA2013★ 12 cited

Low-rank approximate inverse for preconditioning tensor-structured linear systems

Loic Giraldi, Anthony Nouy, Gregory Legrain

In this paper, we propose an algorithm for the construction of low-rank approximations of the inverse of an operator given in low-rank tensor format. The construction relies on an…