Exa-MA Publications

Efficient Fine-Scale Simulation of Nonlinear Hyperelastic Lattice Structures

Clément Guillet, Thibaut Hirschler, Pierre Jolivet et al.

Article in journal

WP2, WP3

Mixed-Precision Computing for Scientific Discovery: Formats, Co-Design, and Responsible Approximation

Emmanuel Agullo, Hartwig Anzt, Daniel Bauer et al.

Preprint / unpublished

WP3 (proposed), WP7 (proposed)

Certified Bayesian optimal experimental design: from Expected Information Gain to Signal-to-Noise Ratio

Mohamed Doumbouya, Arthur Vidard, Olivier Zahm

Preprint / unpublished

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

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

Article in journal

WP3

QABBA: Symbolic Time Series Compression via Integer-Quantized Aggregation

Erin Carson, Xinye Chen, Fei He et al.

Preprint / unpublished

Sharp Probabilistic Normwise Backward Error Bounds for LU Factorization

Liam Burke, El-Mehdi El Arar, Stef Graillat et al.

Preprint / unpublished

Mixed Precision Augmented GMRES

Yongseok Jang, Pierre Jolivet, Theo Mary

Article in journal

WP3

Automated Numerical Stability Analysis of Deep Learning Operators

Xinye Chen

Preprint / unpublished

A fixed-accuracy randomized interpolative decomposition based on pivoted QR

Alfredo Buttari, Karmijn Hoogveld, Theo Mary

Preprint / unpublished

Mixed precision Newton’s method for optimization

Nicolas Brisebarre, Giuseppe Carrino, Theo Mary et al.

Preprint / unpublished

WP3

Sharper Bounds on the Required Fixed-Point Precision for Emulating Floating-Point Matrix Multiplication

Massimiliano Fasi, Theo Mary, Mantas Mikaitis

Preprint / unpublished

WP3

Mixed Precision Compression of Tucker Decomposition

Grey Ballard, Theo Mary, Bhisham Dev Verma

Preprint / unpublished

WP3

Doubly adaptive precision restarted GMRES

Emmanuel Agullo, Luc Giraud, Pierre Jolivet et al.

Preprint / unpublished

WP3

Enabling non-Flexible Mixed-Precision Preconditioned GMRES with Memory Accessors

Patrick Amestoy, Ouassel El Habti, Antoine Jego et al.

Preprint / unpublished

WP3

Mixed Precision Perturbation Analysis of Two-Level Domain Decomposition Preconditioners

Tom Caruso, Pierre Jolivet, Theo Mary et al.

Preprint / unpublished

WP3

Automated Precision Tuning for Numerical Algorithms

Xinye Chen, Thibault Hilaire, Fabienne Jézéquel

Conference paper

Floating-point autotuning with customized precisions: benchmarking and analysis

Xinye Chen, Thibault Hilaire, Fabienne Jézéquel

Conference paper

Enriching continuous Lagrange finite element approximation spaces using neural networks

Hélène Barucq, Michel Duprez, Florian Faucher et al.

Article in journal

LLM-ABBA: Understanding time series via symbolic approximation

Xinye Chen, Erin Carson, Cheng Kang

Article in journal

Overview of overlapping Schwarz methods in PETSc

Pierre Jolivet, Jordi Manyer, Raphaël Zanella

Preprint / unpublished

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

Jérémy Berthomieu, Stef Graillat, Dimitri Lesnoff et al.

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

WP3

Nonlinear compressive reduced basis approximation : when Taylor meets Kolmogorov

Joubine Aghili, Hassan Ballout, Yvon Maday et al.

Preprint / unpublished

WP2

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

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

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

Article in journal

WP2

A modular framework for the backward error analysis of GMRES

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

Article in journal

WP3

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

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

Article in journal

WP3

Mixed precision strategies for preconditioned GMRES: a comprehensive analysis

Alfredo Buttari, Xin Liu, Theo Mary et al.

Article in journal

WP3

Error-Controlled Mixed-Precision Cholesky Factorization with MX Microscaling Formats

Abdurauf Abdurakhmanov, Theo Mary, Hatem Ltaief et al.

Article in journal

WP3

Multi-Objective Structured Pruning of LLMs for Latency and Model Size Optimization

Muhammad Junaid Ali, Smail Niar, El-Ghazali Talbi

Preprint / unpublished

SONATA: Self-adaptive Evolutionary Framework for Hardware-aware Neural Architecture Search

Halima Bouzidi, Smail Niar, Hamza Ouarnoughi et al.

Conference paper

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

Nathan Davouse, El-Ghazali Talbi

Conference paper

WP5

3D Modeling of Solar Oscillations with Hybridizable Discontinuous Galerkin Method

Florian Faucher, Ha Pham, Damien Fournier et al.

Article in journal

WP1

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

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

Preprint / unpublished

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

Mixed Precision Strategies for Solving Sparse Linear Systems with BiCGStab

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

Preprint / unpublished

WP3

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

Partial Detectors Versus Replication To Cope With Silent Errors

Anne Benoit, Thomas Herault, Yves Robert et al.

Conference paper

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

WP1

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

Theo Mary, Mantas Mikaitis

Article in journal

WP3

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

Hassan Ballout, Yvon Maday, Christophe Prud’Homme

Preprint / unpublished

WP2

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

Victorita Dolean, Daria Hrebenshchykova, Stéphane Lanteri et al.

Conference paper

WP3

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

Theo Mary

Article in journal

WP3

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

WP3

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

Needs duplicate review

A robust and adaptive GenEO-type domain decomposition preconditioner for $\mathbf{H}(\mathbf{curl})$ problems in general non-convex three-dimensional geometries

Niall Bootland, Victorita Dolean, Frédéric Nataf et al.

Article in journal

WP3

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

WP2

Fault-tolerant numerical iterative algorithms at scale

Alix Tremodeux, Emmanuel Agullo, Anne Benoit et al.

Report

Fault-tolerant numerical iterative algorithms at scale

Alix Tremodeux, Anne Benoit, Emmanuel Agullo et al.

Article in journal

Needs duplicate review

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

Needs duplicate review

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

Théo Beuzeville, Alfredo Buttari, Serge Gratton et al.

Article in journal

WP3

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.

Conference paper

WP1

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

WP1

Accelerated NAS via pretrained ensembles and multi-fidelity Bayesian Optimization

Houssem Ouertatani, Cristian Maxim, Smail Niar et al.

Conference paper

WP5

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

WP2

Asynchronous Multi-fidelity Hyperparameter Optimization Of Spiking Neural Networks

Thomas Firmin, Pierre Boulet, El-Ghazali Talbi

Conference paper

WP5

Nonlinear compressive reduced basis approximation for multi-parameter elliptic problem

Christophe Prud’Homme, Yvon Maday, Hassan Ballout

Preprint / unpublished

Needs duplicate review

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

Ha Pham, Florian Faucher, Hélène Barucq

Article in journal

WP1

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

WP3

A Comparative Study of Fractal-Based Decomposition Optimization

T. Firmin, E-G. Talbi

Article in journal

WP5 (proposed)

Bayesian optimization for NAS with pretrained deep ensembles

Houssem Ouertatani, Cristian Maxim, Smail Niar et al.

Conference paper

WP5