Publications

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

Computer Vision and Pattern Recognition

Automatic detection of repeated objects in images

The definition of an "object" through the presentation of several of its instances is certainly one of the most efficient ways for humans and machines to learn. An object can be "learned" from a single image, just because it is repeating. In this…

Mariano Rodríguez, Jean-Michel Morel, Julie Delon

IEEE International Conference on Image Processing - 2021

Mathematics

Decentralized Learning in Online Queuing Systems

Motivated by packet routing in computer networks, online queuing systems are composed of queues receiving packets at different rates. Repeatedly, they send packets to servers, each of them treating only at most one packet at a time. In the…

Flore Sentenac, Etienne Boursier, Vianney Perchet

NeurIPS - 2021

Mathematics

Making the most of your day: online learning for optimal allocation of time

We study online learning for optimal allocation when the resource to be allocated is time. Examples of possible applications include a driver filling a day with rides, a landlord renting an estate, etc. Following our initial motivation, a driver…

Etienne Boursier, Tristan Garrec, Vianney Perchet, Marco Scarsini

NeurIPS - 2021

Neurobiology

A strategy for mapping biophysical to abstract neuronal network models applied to primary visual cortex

A fundamental challenge for the theoretical study of neuronal networks is to make the link between complex biophysical models based directly on experimental data, to progressively simpler mathematical models that allow the derivation of general…

Anton V Chizhov, Lyle J Graham

PLoS Computational Biology - 2021

Mathematics

Single pass computation of first seismic wave travel time in three dimensional heterogeneous media with general anisotropy

We present a numerical method for computing the first arrival time of seismic waves in media defined by a general Hooke tensor, in contrast with previous methods which are limited to a specific subclass such as the "tilted transversally isotropic" …

François Desquilbet, Jian Cao, Paul Cupillard, Ludovic Métivier, Jean-Marie Mirebeau

Journal of Scientific Computing - 2021

Applications

Epidemic Models for COVID-19 during the First Wave from February to May 2020: a Methodological Review

We review epidemiological models for the propagation of the COVID-19 pandemic during the early months of the outbreak: from February to May 2020. The aim is to propose a methodological review that highlights the following characteristics: (i) the…

Marie Garin, Myrto Limnios, Alice Nicolaï, Theodoros Evgeniou, Ioannis Bargiotas, Olivier Boulant, Stephen E Chick, Amir Dib, Mathilde Fekom, Argyris Kalogeratos, Christophe Labourdette, Anton Ovchinnikov, Raphaël Porcher, Camille Pouchol, Nicolas Vayatis

Machine Learning

Concentration Inequalities for Two-Sample Rank Processes with Application to Bipartite Ranking

The ROC curve is the gold standard for measuring the performance of a test/scoring statistic regarding its capacity to discriminate between two statistical populations in a wide variety of applications, ranging from anomaly detection in signal…

Stéphan Clémençon, Myrto Limnios, Nicolas Vayatis

Electronic Journal of Statistics - 2021

Modeling and Simulation

Numerical method for the computation of first-arrival time of seismic waves with general anisotropy

We present a numerical method for computing the first arrival time of seismic waves. The scheme can tackle three dimensional media with elastic properties defined by a fully anisotropic Hooke tensor. Our numerical method proceeds in a single pass…

François Desquilbet, Ludovic Métivier, Jean-Marie Mirebeau

First International Meeting for Applied Geoscience & Energy - 2021