1 code implementation • 26 Mar 2024 • Kai Yuan, Christoph Bauinger, Xiangyi Zhang, Pascal Baehr, Matthias Kirchhart, Darius Dabert, Adrien Tousnakhoff, Pierre Boudier, Michael Paulitsch
We compare our approach to a similar CUDA implementation for MLPs and show that our implementation on the Intel Data Center GPU outperforms the CUDA implementation on Nvidia's H100 GPU by a factor up to 2. 84 in inference and 1. 75 in training.
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.