Publications

Computer Vision and Pattern Recognition

On the Importance of Large Objects in CNN Based Object Detection Algorithms

Object detection models, a prominent class of machine learning algorithms, aim to identify and precisely locate objects in images or videos. However, this task might yield uneven performances sometimes caused by the objects sizes and the quality of…

Ahmed Ben Saad, Gabriele Facciolo, Axel Davy

Proceedings of the IEEE/CVF Winter Conference on Applications of Computer Vision - 2024

Nuclear Theory

Multiconfigurational time-dependent density functional theory for atomic nuclei: Technical and numerical aspects

The nuclear time-dependent density functional theory (TDDFT) is a tool of choice for describing various dynamical phenomena in atomic nuclei. In a recent study, we reported an extension of the framework - the multiconfigurational TDDFT (MC-TDDFT)…

Petar Marevíca, David Regnier, Denis Lacroix

The European physical journal. A, Hadrons and Nuclei - 2024

Mathematics

Coherence-enhancing anisotropic diffusion filter for 3D high resolution reconstruction of P-wave velocity and density using full waveform inversion: application to a North Sea Ocean Bottom Cable dataset

Regularization is a central topic in the study of the solutions of ill-posed inverse problems. High resolution seismic imaging using full waveform inversion belongs to this category of problems. Regularization through anisotropic diffusion, a…

Ludovic Métivier, Romain Brossier, Alexandre Hoffmann, Jean-Marie Mirebeau, Giuseppe Provenzano, Alizia Tarayoun, Peng Yong

Geophysics - 2024

Mathematics

General integral identities for bianisotropic media and related equations, properties, and coupling expressions

We consider advanced properties of electromagnetic fields derived from integral identities in bianisotropic media : generalized reciprocity principle for adjoint systems, equivalence of surface sources, uniqueness, links between impedance surface…

J.M.L. Bernard

Electromagnetism

Advanced properties of spectral functions in frequency and time domains for diffraction by a wedge-shaped region

The scattering by objects with singular geometries is a particularly delicate problem, and the Sommerfeld-Maliuzhinets representation of field, when it is associated to Maliuzhinets inversion [3]-[4] and single face representation [7]-[8] methods,…

J.M.L. Bernard

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

Mathematics

The diffraction by a curved impedance wedge with arbitrary angle and its uniform higher order asymptotics

The methods generally considered for the diffraction by a wedge with curved faces are often different as you consider a wedge of narrow or large angle. An original approach, initiated in [1,2] for faces of constant curvatures, and whose results have…

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