Publications

Analysis of PDEs

Microtubules (MT) a key target in oncology: mathematical modeling of anti-MT agents on cell migration

Microtubules (MTs) are protein filaments found in all eukaryotic cells which are crucial for many cellular processes including cell movement, cell differentiation, and cell division, making them a key target for anti-cancer treatment. In particular,…

Emilie Denicolai, Stéphane Honoré, Florence Hubert, Rémi Tesson

Mathematical Modelling of Natural Phenomena - 2020

Analysis of PDEs

An elementary approach to uniform in time propagation of chaos

Based on a coupling approach, we prove uniform in time propagation of chaos for weakly interacting mean-field particle systems with possibly non-convex confinement and interaction potentials. The approach is based on a combination of reflection and…

Alain Durmus, Andreas Eberle, Arnaud Guillin, Raphael Zimmer

Proceedings of the American Mathematical Society - 2020

Methods and statistics

CAD model Segmentation via Deep Learning

Antoine Van Biesbroeck, Feifei Shang, David Bassir

International Journal of Computational Methods - 2020

Statistics

Redundancy in Gaussian random fields

We introduce and study a notion of spatial redundancy in Gaussian random fields. we define similarity functions with some properties and give insight about their statistical properties in the context of image processing. We compute these similarity…

Valentin de Bortoli, Agnès Desolneux, Bruno Galerne, Arthur Leclaire

ESAIM: Probability and Statistics - 2020

History and Overview

Pour un enseignement par la recherche : compte rendu d'un groupe de travail

Didier Lesesvre

Repères IREM - 2020

General Physics

Combining phase-space and time-dependent reduced density matrix approach to describe the dynamics of interacting fermions

The possibility to apply phase-space methods to many-body interacting systems might provide accurate descriptions of correlations with a reduced numerical cost. For instance, the so-called stochastic mean-field phase-space approach, where the…

Thomas Czuba, Denis Lacroix, David Regnier, Ibrahim Ulgen, Bulent Yilmaz

The European physical journal. A, Hadrons and Nuclei - 2020

Optimization and Control

Convergence Analysis of Riemannian Stochastic Approximation Schemes

This paper analyzes the convergence for a large class of Riemannian stochastic approximation (SA) schemes, which aim at tackling stochastic optimization problems. In particular, the recursions we study use either the exponential map of the…

Alain Durmus, Pablo Jiménez, Eric Moulines, Salem Said, Hoi-To Wai

Probability

Mean Geometry for 2D random fields: level perimeter and level total curvature integrals

We introduce the level perimeter integral and the total curvature integral associated with areal valued function f defined on the plane R^2 as integrals allowing to compute the perimeter of the excursion set of f above level t and the total (signed)…

Hermine Biermé, Agnès Desolneux

The Annals of Applied Probability - 2020

Optimization and Control

A Wasserstein-type distance in the space of Gaussian Mixture Models

In this paper we introduce a Wasserstein-type distance on the set of Gaussian mixture models. This distance is defined by restricting the set of possible coupling measures in the optimal transport problem to Gaussian mixture models. We derive a very…

Julie Delon, Agnès Desolneux

SIAM Journal on Imaging Sciences - 2020

Modeling and Simulation

A Daily Measure of the SARS-CoV-2 Effective Reproduction Number for all Countries

Tahar Zamene Boulmezaoud, Luis Álvarez, Miguel Colom, Jean-Michel Morel

Image Processing On Line - 2020