Publications

Statistics

Penalised least square in sparse setting with convex penalty and non gaussian errors

This paper considers the penalized least squares estimators with convex penalties or regularisation norms. We provide sparsity oracles inequalities for the prediction error for a general convex penalty and for the particular cases of Lasso and Group…

Doualeh Abdillahi-Ali, Nourddine Azzaoui, Arnaud Guillin, Guillaume Le Mailloux, Tomoko Matsui

Acta Mathematica Scientia - 2021

Mathematical Physics

Explicit breather solution of the nonlinear Schrödinger equation

We present a one-line closed form expression for the three-parameter breather of the nonlinear Schrödinger equation. This provides an analytic proof of the time period doubling observed in experiments. The experimental check that some pulses…

R. Conte

General Mathematics

Sur le flot de l’équation d’Euler à surface libre

The Euler equation with free boundary, i.e the water waves system,describes the evolution of the interface between air and a perfect irrotational fluid.It is a system of two coupled equations : the Euler equation in the interior of thedomain and a…

Ayman Said

Mathematics

On some parabolic equations involving superlinear singular gradient terms

Martina Magliocca, Francescantonio Oliva

Journal of Evolution Equations - 2021

Economics and Finance

Telepsychology in France since COVID-19. Training as key factor for telepsychology practice and psychologists’ satisfaction in online consultations

This paper uses an original telepsychology European survey conducted by the EFPA (European Federation of Psychologists Associations) Project Group in e-Health between March 18th and May 5th, 2020, to consider online practices of psychologists. We…

Lise Haddouk, Carine Milcent

Signal and Image processing

Noisesniffer: a Fully Automatic Image Forgery Detector Based on Noise Analysis

Images undergo a complex processing chain from the moment light reaches the camera's sensor until the final digital image is delivered. Each of these operations leave traces on the noise model which enable forgery detection through noise analysis…

Marina Gardella, Pablo Musé, Jean-Michel Morel, Miguel Colom

2021 IEEE International Workshop on Biometrics and Forensics (IWBF) - 2021

Differential Geometry

Parallel Transport on Kendall Shape Spaces

Kendall shape spaces are a widely used framework for the statistical analysis of shape data arising from many domains, often requiring the parallel transport as a tool to normalise time series data or transport gradient in optimisation procedures…

Nicolas Guigui, Elodie Maignant, Alain Trouvé, Xavier Pennec

GSI 2021 - 5th conference on Geometric Science of Information - 2021

Machine Learning

Online A-optimal design and active linear regression

We consider in this paper the problem of optimal experiment design where a decision maker can choose which points to sample to obtain an estimateβ of the hidden parameter β of an underlying linear model. The key challenge of this work lies in the…

Xavier Fontaine, Pierre Perrault, Michal Valko, Vianney Perchet

International Conference on Machine Learning - 2021

Signal and Image processing

Forgery Detection in Digital Images by Multi-Scale Noise Estimation

A complex processing chain is applied from the moment a raw image is acquired untilthe final image is obtained. This process transforms the originally Poisson-distributed noise into acomplex noise model. Noise inconsistency analysis is a rich source…

Marina Gardella, Pablo Musé, Jean-Michel Morel, Miguel Colom

Journal of Imaging - 2021

Analysis of PDEs

Second order monotone finite differences discretization of linear anisotropic differential operators

We design adaptive finite differences discretizations, which are degenerate elliptic and second order consistent, of linear and quasi-linear partial differential operators featuring both a first order term and an anisotropic second order term. Our…

Frédéric Bonnans, Guillaume Bonnet, Jean-Marie Mirebeau

Mathematics of Computation - 2021