Publications

Analysis of PDEs

A linear finite-difference scheme for approximating Randers distances on Cartesian grids

Randers distances are an asymmetric generalization of Riemannian distances, and arise in optimal control problems subject to a drift term, among other applications. We show that Randers eikonal equation can be approximated by a logarithmic…

Frédéric Bonnans, Guillaume Bonnet, Jean-Marie Mirebeau

ESAIM: Control, Optimisation and Calculus of Variations - 2022

Analysis of PDEs

Monotone discretization of the Monge-Ampère equation of optimal transport

We design a monotone finite difference discretization of the second boundary value problem for the Monge-Ampère equation, whose main application is optimal transport. We prove the existence of solutions to a class of monotone numerical schemes for…

Guillaume Bonnet, Jean-Marie Mirebeau

Statistics

A 3D Mathematical Breast Texture Model with Parameters Automatically Inferred from Clinical Breast CT Images

Zhijin Li, Ann-Katherine Carton, Serge Muller, Thomas Almecija, Pablo Milioni de Carvalho, Agnès Desolneux

IEEE Transactions on Medical Imaging - 2022

Signal and Image processing

Multivariate analysis with tensors and graphs – application to neuroscience

How to extract knowledge from multivariate data has emerged as a fundamental question in recent years. Indeed, their increasing availability has highlighted the limitations of standard models and the need to move towards more versatile methods. The…

Pierre Humbert

Signal and Image processing

Système de guidage d’un utilisateur par un signal sonore, et procédé de guidage correspondant

La présente invention concerne un système de guidage d’un utilisateur, comprenant un terminal informatique portable et un dispositif audio stéréophonique , destiné à être associé à la tête de l’utilisateur , communiquant l’un avec l’autre sans fil…

François Alouges, Sylvain Ferrand, Philippe Le Borgne

Mathematics

Analogical Reasoning as an Inference Scheme

Abstract Despite its importance in various fields, analogical reasoning has not yet received a unified formal representation. Our contribution proposes a general scheme of inference that is compatible with different types of logic (deductive,…

Bernard Walliser, Denis Zwirn, Hervé Zwirn

Dialogue: Canadian Philosophical Review / Revue canadienne de philosophie - 2021

Statistics

Trajectory representation learning for Multi-Task NMRDP planning

Firas Jarboui, Vianney Perchet

2020 25th International Conference on Pattern Recognition (ICPR) - 2021

Mathematics

Apports de l’oculométrie dans l’analyse d’une tâche procédurale

Noémie Kempa, Elie Netter Jouguet, Mateo Campos, Stéphane Buffat, Damien Ricard, Flavie Bompaire, Marie Baruteau, Marie de Laage, Julien Nelson

ErgoIA'2021: 17ème Conférence en Ergonomie et Informatique Avancée - 2021

Mathematics

Dynamic Quaternion Extreme Learning Machine

Hao Chen, Tianlei Wang, Jiuwen Cao, Pierre-Paul Vidal, Yimin Yang

IEEE Transactions on Circuits and Systems II: Express Briefs - 2021

Thermics

Thermal analysis of the friction stir welding process based on boundary conditions and operating parameters

Modelling of friction stir welding (FSW) remains a complicated task, as it is crucial to predict the mechanical properties of the final welded part. This research focuses on the numerical simulation aspect of the alloy material AA2195-T8. 3D…

Moustafa Boukraa, David Bassir, Nadhir Lebaal, Tawfik Chekifi, Mouloud Aissani, Nacer Tal Ighil, A Mataoui

Proceedings of the Estonian Academy of Sciences - 2021