Search Results for author: Serge Gratton

Found 7 papers, 1 papers with code

Combining Statistical Depth and Fermat Distance for Uncertainty Quantification

no code implementations12 Apr 2024 Hai-Vy Nguyen, Fabrice Gamboa, Reda Chhaibi, Sixin Zhang, Serge Gratton, Thierry Giaccone

The method is applicable to any classification model as it is applied directly in feature space at test time and does not intervene in training process.

Uncertainty Quantification

A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks

no code implementations23 May 2023 Serge Gratton, Valentin Mercier, Elisa Riccietti, Philippe L. Toint

Multi-level methods are widely used for the solution of large-scale problems, because of their computational advantages and exploitation of the complementarity between the involved sub-problems.

A coarse space acceleration of deep-DDM

no code implementations7 Dec 2021 Valentin Mercier, Serge Gratton, Pierre Boudier

We present an extension of this method that relies on the use of a coarse space correction, similarly to what is done in traditional DDM solvers.

Multilevel physics informed neural networks (MPINNs)

no code implementations29 Sep 2021 Elisa Riccietti, Valentin Mercier, Serge Gratton, Pierre Boudier

In this paper we introduce multilevel physics informed neural networks (MPINNs).

Latent Space Data Assimilation by using Deep Learning

no code implementations1 Apr 2021 Mathis Peyron, Anthony Fillion, Selime Gürol, Victor Marchais, Serge Gratton, Pierre Boudier, Gael Goret

Performing Data Assimilation (DA) at a low cost is of prime concern in Earth system modeling, particularly at the time of big data where huge quantities of observations are available.

Data Assimilation Networks

1 code implementation19 Oct 2020 Pierre Boudier, Anthony Fillion, Serge Gratton, Selime Gürol, Sixin Zhang

Data assimilation (DA) aims at forecasting the state of a dynamical system by combining a mathematical representation of the system with noisy observations taking into account their uncertainties.

BIG-bench Machine Learning

Cannot find the paper you are looking for? You can Submit a new open access paper.