Publications

Mathematics

Spectral equations for scattering by impedance polygons : properties and solutions

The Sommerfeld-Maliuzhinets representation of fields is not limited to the study of the diffraction by isolated impedance wedges, and we developed in [1]-[2] an analytical method concerning the determination of spectral function for the scattering…

J.M.L. Bernard

Image Processing

Collaborative Blind Image Deblurring

Blurry images usually exhibit similar blur at various locations across the image domain, a property barely captured in nowadays blind deblurring neural networks. We show that when extracting patches of similar underlying blur is possible, jointly…

Thomas Eboli, Jean-Michel Morel, Gabriele Facciolo

2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW) - 2024

Mathematics

The anisotropy of 2D or 3D Gaussian random fields through their Lipschitz-Killing curvature densities

We are interested here in modeling and estimating the anisotropy of 2D and 3D Gaussian random fields through the geometry of their excursion sets. In order to do this, we use Lipschitz-Killing curvatures of the level sets as functions of the levels…

Hermine Biermé, Agnès Desolneux

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

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