Exa-MA Publications

Nonlinear compressive reduced basis approximation : when Taylor meets Kolmogorov

Joubine Aghili, Hassan Ballout, Yvon Maday et al.

Preprint / unpublished

Mathematical modeling and simulation of coupled aqueous humor flow and temperature distribution in a realistic 3D human eye geometry

Thomas Saigre, Vincent Chabannes, Christophe Prud’Homme et al.

Article in journal

Multiword matrix multiplication over large finite fields in floating-point arithmetic

Jérémy Berthomieu, Stef Graillat, Dimitri Lesnoff et al.

Preprint / unpublished

Neural semi-Lagrangian method for high-dimensional advection-diffusion problems

Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret et al.

Article in journal

Bayesian and Partition-Based Optimization for Hyperparameter Optimization of LLM Fine-Tuning

Nathan Davouse, El-Ghazali Talbi

Conference paper

3D Modeling of Solar Oscillations with Hybridizable Discontinuous Galerkin Method

Florian Faucher, Ha Pham, Damien Fournier et al.

Article in journal

PROMISE: Floating-point Autotuning with Customized Precisions

Xinye Chen, Thibault Hilaire, Fabienne Jézéquel

Poster

Approximate computing in numerical linear algebra: algorithms, analysis, and applications

Theo Mary

HDR

Neural network-driven domain decomposition for efficient solutions to the Helmholtz equation

Victorita Dolean, Daria Hrebenshchykova, Stéphane Lanteri et al.

Preprint / unpublished

Mixed Precision Strategies for Solving Sparse Linear Systems with BiCGStab

Ani Anciaux-Sedrakian, Hugo Dorfsman, Thomas Guignon et al.

Preprint / unpublished

A reproducible comparative study of categorical kernels for Gaussian process regression, with new clustering-based nested kernels

Raphaël Carpintero Perez, Sébastien Da Veiga, Josselin Garnier

Preprint / unpublished

Portage GPU d’un solveur éléments finis discontinus hybridisé pour les problèmes d’ondes en fréquence

Ahmed Chabib, Roland Greffe, Christophe Geuzaine et al.

Conference paper

Error Analysis of Matrix Multiplication with Narrow Range Floating-Point Arithmetic

Theo Mary, Mantas Mikaitis

Article in journal

Mixed Precision Augmented GMRES

Yongseok Jang, Pierre Jolivet, Theo Mary

Preprint / unpublished

Neural network preconditioning: a case study for the solution of the parametric Helmholtz equation

Luc Giraud, Carola Kruse, Paul Mycek et al.

Report

COMBINED GALERKIN AND REGRESSION BASED ALGORITHM FOR PARAMETER DEPENDANT PDE’S

Hassan Ballout, Yvon Maday, Christophe Prud’Homme

Preprint / unpublished

Error analysis of the Gram low-rank approximation (and why it is not as unstable as one may think)

Theo Mary

Article in journal

Mixed precision strategies for preconditioned GMRES: a comprehensive analysis

Alfredo Buttari, Xin Liu, Theo Mary et al.

Preprint / unpublished

Effect of Cooling of the Ocular Surface on Endothelial Cell Sedimentation in Cell Injection Therapy: Insights from Computational Fluid Dynamics

Thomas Saigre, Vincent Chabannes, Giovanna Guidoboni et al.

Poster

Learning signals defined on graphs with optimal transport and Gaussian process regression

Raphaël Carpintero Perez, Sébastien da Veiga, Josselin Garnier et al.

Conference paper

MIXED PRECISION HODLR MATRICES

Erin Carson, Xinye Chen, Xiaobo Liu

Article in journal

Volume-Preserving Geometric Shape Optimization of the Dirichlet Energy Using Variational Neural Networks

Amaury Bélières—​Frendo, Emmanuel Franck, Victor Michel-Dansac et al.

Article in journal

BLAS-based Block Memory Accessor with Applications to Mixed Precision Sparse Direct Solvers

Patrick Amestoy, Antoine Jego, Jean-Yves L’Excellent et al.

Preprint / unpublished

Enriching continuous Lagrange finite element approximation spaces using neural networks

Hélène Barucq, Michel Duprez, Florian Faucher et al.

Preprint / unpublished

Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators

Joubine Aghili, Romain Hild, Victor Michel-Dansac et al.

Article in journal

Two-way Coupling of Fluid—​Structure Interaction for Elastic Magneto-Swimmers: A Finite Element ALE Approach

Christophe Prud’Homme, Vincent Chabannes, Laëtitia Giraldi et al.

Preprint / unpublished

Deterministic and probabilistic rounding error analysis of neural networks in floating-point arithmetic

Théo Beuzeville, Alfredo Buttari, Serge Gratton et al.

Article in journal

Mixed precision accumulation for neural network inference guided by componentwise forward error analysis

El-Mehdi El Arar, Silviu-Ioan Filip, Theo Mary et al.

Preprint / unpublished

Assembling algorithm for Green’s tensors and absorbing boundary conditions for Galbrun’s equation in radial symmetry

Ha Pham, Florian Faucher, Damien Fournier et al.

Article in journal

A modular framework for the backward error analysis of GMRES

Alfredo Buttari, Nicholas J Higham, Theo Mary et al.

Preprint / unpublished

Accelerated NAS via pretrained ensembles and multi-fidelity Bayesian Optimization

Houssem Ouertatani, Cristian Maxim, Smail Niar et al.

Conference paper

Model order reduction and sensitivity analysis for complex heat transfer simulations inside the human eyeball

Thomas Saigre, Christophe Prud’Homme, Marcela Szopos

Article in journal

Asynchronous Multi-fidelity Hyperparameter Optimization Of Spiking Neural Networks

Thomas Firmin, Pierre Boulet, El-Ghazali Talbi

Conference paper

Nonlinear compressive reduced basis approximation for multi-parameter elliptic problem

Christophe Prud’Homme, Yvon Maday, Hassan Ballout

Preprint / unpublished

Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation

Ha Pham, Florian Faucher, Hélène Barucq

Article in journal

Ktirio Urban Building: A Computational Framework for City Energy Simulations Enhanced by CI/CD Innovations on EuroHPC Systems

Christophe Prud’Homme, Vincent Chabannes, Luca Berti et al.

Preprint / unpublished

Gaussian process regression with Sliced Wasserstein Weisfeiler-Lehman graph kernels

Raphaël Carpintero Perez, Sébastien da Veiga, Josselin Garnier et al.

Conference paper

Coarse spaces for non-symmetric two-level preconditioners based on local generalized eigenproblems

Frédéric Nataf, Emile Parolin

Preprint / unpublished

A Comparative Study of Fractal-Based Decomposition Optimization

T. Firmin, E-G. Talbi

Article in journal

Bayesian optimization for NAS with pretrained deep ensembles

Houssem Ouertatani, Cristian Maxim, Smail Niar et al.

Conference paper