Publications

Sound

Débruitage vidéo et applications

This thesis studies the problem of video denoising. In the first part we focus on patch-based video denoising methods. We study in details VBM3D, a popular video denoising method, to understand the mechanisms that made its success. We also present a…

Thibaud Ehret

Life Sciences

Motor style at rest and during locomotion in humans

Juan Mantilla, Danping Wang, Ioannis Bargiotas, Junhong Wang, Jiuwen Cao, Laurent Oudre, Pierre-Paul Vidal

Journal of Neurophysiology - 2020

Analysis of PDEs

Lyapunov Functions, Identities and the Cauchy Problem for the Hele–Shaw Equation

This article is devoted to the study of the Hele-Shaw equation. We introduce an approach inspired by the water-wave theory. Starting from a reduction to the boundary, introducing the Dirichlet to Neumann operator and exploiting various cancellations…

Thomas Alazard, Nicolas Meunier, Didier Smets

Communications in Mathematical Physics - 2020

General Mathematics

Une exploration du déflouage d’images et vidéos : les détails qui font la différence

This thesis studies the problem of image and video blur and its removal.In the first part we focus on the restoration of image bursts, in particular for deblurring and super-resolution.First we study Fourier Burst Accumulation, which efficiently…

Jérémy Anger

Mathematical Physics

Développement de méthodes mathématiques pour l'analyse de trajectoires conformationnelles en dynamique moléculaire

Molecular dynamics (MD) simulations can produce nowadays huge amount of data using high-throughput CPU/GPU clusters. However, in addition not to consider the kinetic aspect of the data, the routine use of MD simulations for a study of real…

Sharad Goulam Abas

General Mathematics

Comparaison d'images invariantes affines

Image comparison, which consists in deciding whether or not several images represent some common or similar objects, is a problem recognized as difficult, especially because of the viewpoint changes between images. The apparent deformations of…

Mariano Rodriguez

Other Statistics

Tensor Convolutional Sparse Coding with Low-Rank activations, an application to EEG analysis

Recently, there has been growing interest in the analysis of spectrograms of ElectroEncephaloGram (EEG), particularly to study the neural correlates of (un)-consciousness during General Anesthesia (GA). Indeed, it has been shown that order three…

Pierre Humbert, Laurent Oudre, Nivolas Vayatis, Julien Audiffren

Statistics

Statistiques non locales dans les images : modélisation, estimation et échantillonnage

In this thesis we study two non-localstatistics in images from a probabilistic point of view: spatialredundancy and convolutional neural network features. Moreprecisely, we are interested in the estimation and detection ofspatial redundancy in…

Valentin de Bortoli

General Mathematics

Analyse de données géométriques, au delà des convolutions

Geometric data analysis, beyond convolutionsTo model interactions between points, a simple option is to rely on weighted sums known as convolutions. Over the last decade, this operation has become a building block for deep learning architectures…

Jean Feydy

Life Sciences

Quantitative assessment of consciousness during anesthesia without EEG data

Clément Dubost, Laurent Oudre, Christophe Labourdette, Nicolas Vayatis, Pierre-Paul Vidal

Journal of Clinical Monitoring and Computing - 2020