From the 1 of 5.5k papers with an AI index.
- Centre National de la Recherche ScientifiqueFR1.7k papers
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- École Normale Supérieure - PSLFR292 papers
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- École Normale Supérieure de LyonFR233 papers
- Centre Inria de l'Université Grenoble AlpesFR216 papers
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- Université Grenoble AlpesFR204 papers
- Lyon 1 UniversitéFR191 papers
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8 papers · 2 filters
Finite Element Neural Network Interpolation. Part I: Interpretable and Adaptive Discretization for Solving PDEs
Kateřina Škardová, Alexandre Daby-Seesaram, Martin Genet
We present the Finite Element Neural Network Interpolation (FENNI) framework, a sparse neural network architecture extending previous work on Embedded Finite Element Neural Network…
A generalized spectral concentration problem and the varying masks algorithm
Erwan Faou, Yoann Le Henaff
In this paper we generalize the spectral concentration problem as formulated by Slepian, Pollak and Landau in the 1960s. We show that a generalized version with arbitrary space and…
Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form
Hendrik Ranocha, Mario Ricchiuto
We develop structure-preserving numerical methods for the Serre-Green-Naghdi equations, a model for weakly dispersive free-surface waves. We consider both the classical form, requi…
Low-rank plus diagonal approximations for Riccati-like matrix differential equations
Silvère Bonnabel, Marc Lambert, Francis Bach
We consider the problem of computing tractable approximations of time-dependent d x d large positive semi-definite (PSD) matrices defined as solutions of a matrix differential equa…
Elasticity-based morphing technique and application to reduced-order modeling
Abbas Kabalan, Fabien Casenave, Felipe Bordeu +2
The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a referenc…
Meshfree Variational Physics Informed Neural Networks (MF-VPINN): an adaptive training strategy
Stefano Berrone, Moreno Pintore
In this paper, we introduce a Meshfree Variational-Physics-Informed Neural Network. It is a Variational-Physics-Informed Neural Network that does not require the generation of the…