Dynamical Systems
Dynamical Systems

Learning dynamical systems in constrained and evolving environments

Koopman operatorOnline learningDynamical systems
Physics-Informed Machine Learning
Physics-Informed Machine Learning

Learning physical problems and incorporating/unveiling background knowledge

Neural operatorsPhysics-informed modelsDynamical systems
Understanding Deep Learning
Understanding Deep Learning

Towards the unification of deep neural networks and iterative proximal methods.

Neural networksProximal algorithms
Adversarial and Robust Learning
Adversarial and Robust Learning

Establishing guarantees for crafting and defending against adversarial attacks or outliers.

Neural networksProximal algorithms
Hyperparameter Optimization
Hyperparameter Optimization

This project aims at optimizing the hyperparameters of models learned by minimizing nonsmooth functionals

Bilevel optimizationNonsmoothBregman
Fetal Heart Rate Analysis
Fetal Heart Rate Analysis

Scale invariance analysis of fetal heart rate.

MultifractalFHRFetal AcidosisSparse SVM
Multivariate Scale Invariance
Multivariate Scale Invariance

Joint analysis of the scale invariance of multivariate data.

MonofractalMultivariate dataBranch and bound algorithmInternet traffic
Piecewise constant denoising
Piecewise constant denoising

Various contributions about piecewise constant denoising.

Potts modelTotal-variationOnline denoisingRegularization parameterMultivariate denoising
Inhomogenous Scale Invariance
Inhomogenous Scale Invariance

This project deals with the case where the scale invariance properties are inhomogenous in time or in space.

MultifractalSegmentationTextures