Publications

Biomechanics

Some mathematical models for flagellar activation mechanisms

This paper focuses on studying a model for molecular motors responsible for the bending of the axoneme in the flagella of microorganisms. The model is a coupled system of partial differential equations inspired by Jülicher et al. or Camalet,…

François Alouges, Irene Anello, Antonio Desimone, Aline Lefebvre-Lepot, Jessie Levillain

Optimization and Control

Unbalanced L1 optimal transport for vector valued measures and application to Full Waveform Inversion

Optimal transport has recently started to be successfully employed to define misfit or loss functions in inverse problems. However, it is a problem intrinsically defined for positive (probability) measures and therefore strategies are needed for its…

Gabriele Todeschi, Ludovic Métivier, Jean-Marie Mirebeau

Journal of Computational Physics - 2025

Other Statistics

Stein Boltzmann Sampling: A Variational Approach for Global Optimization

In this paper, we present a flow-based method for global optimization of continuous Sobolev functions, called Stein Boltzmann Sampling (SBS). SBS initializes uniformly a number of particles representing candidate solutions, then uses the Stein…

Gaëtan Serré, Argyris Kalogeratos, Nicolas Vayatis

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

The Annals of Applied Probability - 2025

Mathematics

On the Domain Generalization Capabilities of Interactive Segmentation Methods

Interactive image segmentation (IIS) methods are usually trained over segmentation datasets containing natural images. They are also usually evaluated over natural images. However, the most common use case is the annotation of new images from a…

Franco Marchesoni-Acland, Tanguy Magne, Fayçal Rekbi, Gabriele Facciolo

Image Processing On Line - 2024

Physics

How Shock ignition can help to overcome the negative effects of hot electrons in direct-drive high-gain inertial confinement fusion

Hot electrons produced by parametric instabilities can negatively affect the thermonuclear gain of a direct-drive inertial confinement fusion capsule. A Monte Carlo transport is coupled to the hydrodynamics MULTI-IFE code in order to study the hot…

Mauro Temporal, Benoit Canaud, Rafael Ramis

Journal of Plasma Physics - 2024

Mathematics

Topological data analysis for unsupervised anomaly detection in time series

In this article, we propose a new algorithm for unsupervised anomaly detection in univariate time series, based on topological data analysis. It relies on delay embeddings and on the extraction of persistent cycles from the 1-dimensional persistent…

Alexandre Bois, Brian Tervil, Laurent Oudre

2024 32nd European Signal Processing Conference (EUSIPCO) - 2024

Mathematics

Accelerating NeRF with the Visual Hull

Neural rendering methods for learning the appearance and geometry of 3D scenes have gained tremendous popularity since 2020. In this field, NeRF or Neural Radiance Fields is the bestknown methodology. Given a collection of multi-view images and…

Roger Marí

Image Processing On Line - 2024

Computer Science

Survival Forest for Left-Truncated Right-Censored Data

The estimation of the lifetime of an industrial equipment or a patient is often based on censored data, because the event of interest is observed only for a subsample of observations. The use of the Random Forest algorithm applied to industrial data…

Vincent Laurent, Olivier Vo Van

Image Processing On Line - 2024

Mathematics

Dehazing with Dark Channel Prior: Analysis and Implementation

In outdoor scenes, atmospheric absortion and scattering attenuate the radiance received by the camera and may produce haze. In 2009 He et al. proposed a simple but effective dehazing algorithm based on a hypothesis called the 'dark channel prior' …

Jose-Luis Lisani, Charles Hessel

Image Processing On Line - 2024