Publications

Number Theory

Exceptional biases in counting primes over functions fields

We study how often exceptional configurations of irreducible polynomials over finite fields occur in the context of prime number races and Chebyshev's bias. In particular, we show that three types of biases, which we call "complete bias", "lower…

Alexandre Bailleul, Lucile Devin, Daniel Keliher, Wanlin Li

Journal of the London Mathematical Society - 2024

Machine Learning

Graph Cuts with Arbitrary Size Constraints Through Optimal Transport

A common way of partitioning graphs is through minimum cuts. One drawback of classical minimum cut methods is that they tend to produce small groups, which is why more balanced variants such as normalized and ratio cuts have seen more success…

Chakib Fettal, Lazhar Labiod, Mohamed Nadif

Transactions on Machine Learning Research Journal - 2024

Electromagnetism

Exact and asymptotic reductions of surface radiation integrals with complex phases to contour integrals

We develop here an efficient method for the reduction of surface radiation integrals to non-singular contour integrals, when we suppose known, as in Physical Optics (PO), the analytic expression of surface currents whose electromagnetic radiation is…

J.M.L. Bernard

Electromagnetism

New insights in integral representation theory for the solution of complex canonical diffraction problems

The problem of scattering by 2D and 3D canonical objects with imperfectly conducting surfaces requires some particular efforts on the representation of scattered and incident fields, and we present here some remarkable aspects of them in complex…

J.M.L. Bernard

Signal and Image processing

Multi-Snapshot Inversion Technique for an Interferometric Earth-Observation Satellite

Antenna arrays for passive microwave remote sensing of Earth produce images contaminated by aliasing due to insufficient sampling of the u-v plane: engineering constraints often preclude the deployment of arrays with antennas spaced sufficiently…

Max Dunitz

Mathematics

Analyse et équations aux dérivées partielles

Thomas Alazard

Artificial Intelligence

Statistical background modeling and applications in remote sensing

This thesis addresses some problems in remote sensing and statistical background modeling using the a-contrario theory and artificial neural network models. The work is motivated by two applications in remote sensing where the control of false…

Antoine Tadros

Computer Science

Data Augmentation by Adaptative Targeted Zoom for MRI Brain Tumor Segmentation

This study presents a novel data augmentation methodology to enhance the scientific outcomes achieved during the Brats 2023 challenge. The 3D-UNet neural network, initially proposed by Ronneberger et al. in 2015 for biomedical image segmentation, is…

José Armando Hernández

Latin American Workshop on Computational Neuroscience - 2023

Computer Science

Integrated simulation of distributed generation systems for the design of telecommunication networks with IEC61850-7-420 standards

Jose Armando Hernandez Gonzalez, Roberto Bustamante

5th International IEEE Workshop on Power Electronics and Power Quality Applications - 2023

Geometric Topology

Agnès Désolneux - Quand le hasard se mêle à la géométrie

On peut faire remonter la rencontre du hasard et de la géométrie à un texte de Buffon daté de 1733, dans lequel il entend "mettre la géométrie en possession de ses droits sur la science du hasard". Pour ce faire, il considère, entre autres, un…

Agnès Desolneux, Fanny Bastien