no code implementations • 12 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.
no code implementations • 23 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.
no code implementations • 7 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.
no code implementations • 29 Sep 2021 • Elisa Riccietti, Valentin Mercier, Serge Gratton, Pierre Boudier
In this paper we introduce multilevel physics informed neural networks (MPINNs).
no code implementations • 1 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.
1 code implementation • 19 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.
no code implementations • 9 Apr 2019 • Henri Calandra, Serge Gratton, Elisa Riccietti, Xavier Vasseur
Here a feedforward neural network is used to approximate the solution of the partial differential equation.