143 citations
- Université Paris NanterreFR6 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- IT University of CopenhagenDK4 papers
- Mathématiques Appliquées à Paris 5FR4 papers
- Institut Denis PoissonFR3 papers
- Université de ToursFR3 papers
- Université d'OrléansFR3 papers
- Jožef Stefan InstituteSI2 papers
- New York UniversityUS2 papers
- Northeastern UniversityUS2 papers
- TH Köln - University of Applied SciencesDE2 papers
- University of MaltaMT2 papers
22 papers
Concentration inequalities and large deviations for continuous greedy animals and paths
Julien Verges
Consider the continuous greedy paths model: given a -dimensional Poisson point process with positive marks interpreted as masses, let denote the maximum mass g…
Large deviation principle at speed for the random metric in first-passage percolation
Julien Verges
Consider standard first-passage percolation on . We study the lower-tail large deviations of the rescaled random metric restricted to a box. If…
Mask of truth: model sensitivity to unexpected regions of medical images
Théo Sourget, Michelle Hestbek-Møller, Amelia Jiménez-Sánchez +2
The development of larger models for medical image analysis has led to increased performance. However, it also affected our ability to explain and validate model decisions. Models…
Law of large numbers for greedy animals and paths in an ergodic environment
Julien Verges
Consider a family of random masses indexed by vertices of the lattice . In the case where the masses are i.i.d.\ and satisfy a certain moment condition…
Large deviation principle at speed for the random metric in first-passage percolation
Julien Verges
We consider the standard first passage percolation model on with bounded weights. We show a large deviation estimate for the probability that the rescaled passage tim…
Minimax density estimation in the adversarial framework under local differential privacy
Mélisande Albert, Juliette Chevallier, Béatrice Laurent +1
We consider the problem of nonparametric density estimation under privacy constraints in an adversarial framework. To this end, we study minimax rates over Sobolev spaces under loc…