Publications

Analysis of PDEs

On the dynamics of the roots of polynomials under differentiation

This article is devoted to the study of a nonlinear and nonlocal parabolic equation introduced by Stefan Steinerberger to study the roots of polynomials under differentiation; it also appeared in a work by Dimitri Shlyakhtenko and Terence Tao on…

Thomas Alazard, Omar Lazar, Quoc-Hung Nguyen

Analysis of PDEs

Cauchy theory for the water waves system in an analytic framework

In this paper we consider the Cauchy problem for gravity water waves, in a domain with a flat bottom and in arbitrary space dimension. We prove that if the data are of size $\varepsilon$ in a space of analytic functions which have a holomorphic…

Thomas Alazard, Nicolas Burq, Claude Zuily

Analysis of PDEs

On the Cauchy problem for the Muskat equation with non-Lipschitz initial data

Thomas Alazard, Quoc-Hung Nguyen

Communications in Partial Differential Equations - 2021

Acoustics

On the sound speed in two-fluid mixtures and the implications for CFD model validation

Study of the propagation of sound in a single non-ideal fluid originates with Stokes in 1845 and Kirchhoff in 1868. The situation is much more complex in the case of two-fluid flow, both from the physical point of view, as the configuration of the…

Saad Benjelloun, Jean-Michel Ghidaglia

Mathematics

KFC: A clusterwise supervised learning procedure based on the aggregation of distances

Sothea Has, Aurélie Fischer, Mathilde Mougeot

Journal of Statistical Computation and Simulation - 2021

Mathematics

IMODAL: creating learnable user-defined deformation models

A natural way to model the evolution of an object (growth of a leaf for instance) is to estimate a plausible deforming path between two observations. This interpolation process can generate deceiving results when the set of considered deformations…

Leander Lacroix, Benjamin Charlier, Alain Trouvé, Barbara Gris

CVPR 2021 - IEEE/CVF Conference on Computer Vision and Pattern Recognition - 2021

Artificial Intelligence

Environnement immersif et interaction haptique

Luba Tchertanov, Maxim Stoliarchuk, Alain Trouvé

Mokrane Bouzeghoub - 2021

Sensory Organs

Pseudo-Gaze Deviation Resulting From Positive Angle Kappa and Esotropia

Abstract: A 6-year-old boy was referred for constant right gaze deviation. Rather than a gaze deviation, he constantly seemed to look on the left side of any displayed target. Examination revealed the association of a highly positive angle Kappa and…

Maxence Rateaux, Marie-Andrée Espinasse-Berrod, Chloé Couret, Dominique Bremond-Gignac, Matthieu Robert

Journal of Neuro-Ophthalmology - 2021

Biotechnology

Dynamic Functional Connectivity in Adolescence-Onset Major Depression: Relationships With Severity and Symptom Dimensions.

The spatial functional chronnectome is an innovative mathematical model designed to capture dynamic features in the organization of brain function derived from resting-state functional magnetic resonance imaging data. Measurements of dynamic…

Rocco Marchitelli, Marie-Laure Paillère-Martinot, Nadège Bourvis, Christophe Guerin-Langlois, Amélie Kipman, Christian Trichard, Marie Douniol, Coline Stordeur, André Galinowski, Irina Filippi, Gilles Bertschy, Sebastien Weibel, Bernard Granger, Frédéric Limosin, David Cohen, Jean-Luc Martinot, Eric Artiges

Biological Psychiatry: Cognitive Neuroscience and Neuroimaging - 2021

Machine Learning

NEO: Non Equilibrium Sampling on the Orbit of a Deterministic Transform

Sampling from a complex distribution $\pi$ and approximating its intractable normalizing constant Z are challenging problems. In this paper, a novel family of importance samplers (IS) and Markov chain Monte Carlo (MCMC) samplers is derived. Given an…

Achille Thin, Yazid Janati, Sylvain Le Corff, Charles Ollion, Arnaud Doucet, Alain Durmus, Eric Moulines, Christian Robert

35th International Conference on Neural Information Processing Systems - 2021