Publications

Mathematics

Virial theorems and equipartition of energy for water-waves

We study several different aspects of the energy equipartition principle for water waves. We prove a virial identity that implies that the potential energy is equal, on average, to a modified version of the kinetic energy. This is an exact identity…

Thomas Alazard, Claude Zuily

Mathematics

Damping for fractional wave equations and applications to water waves

Motivated by numerically modeling surface waves for inviscid Euler equations, we analyze linear models for damped water waves and establish decay properties for the energy for sufficiently regular initial configurations. Our findings give the…

Thomas Alazard, Jeremy L. Marzuola, Jian Wang

Probability

Convex hulls of random walks: conic intrinsic volumes approach

Sparre Andersen discovered a celebrated distribution-free formula for the probability of a random walk remaining positive up to a moment n. Kabluchko et al. expanded on this result by calculating the absorption probability for the convex hull of…

Fedor V. Petrov, Julien Randon-Furling, Dmitry Zaporozhets

“Записки научных семинаров ПОМИ” - Zapiski Nauchnykh. Seminarov POMI - Note des séminaires scientifiques du département de mathématiques de Saint-Pétersbourg de l'Institut Steklov - 2023

Statistics

Exploiting Patch Sizes and Resolutions for Multi-Scale Deep Learning in Mammogram Image Classification

Recent progress in deep learning (DL) has revived the interest on DL-based computer aided detection or diagnosis (CAD) systems for breast cancer screening. Patch-based approaches are one of the main state-of-the-art techniques for 2D mammogram image…

Gonzalo Iñaki Quintana, Zhijin Li, Laurence Vancamberg, Mathilde Mougeot, Agnès Desolneux, Serge Muller

Bioengineering - 2023

Computer Vision and Pattern Recognition

Multi-Date Earth Observation NeRF: The Detail Is in the Shadows

We introduce Earth Observation NeRF (EO-NeRF), a new method for digital surface modeling and novel view synthesis from collections of multi-date remote sensing images. In contrast to previous variants of NeRF proposed in the literature for satellite…

Roger Marí, Gabriele Facciolo, Thibaud Ehret

2023 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW) - 2023

Image Processing

How to best combine demosaicing and denoising?

Image demosaicing and denoising play a critical role in the raw imaging pipeline. These processes have often been treated as independent, without considering their interactions. Indeed, most classic denoising methods handle noisy RGB images, not raw…

Yu Guo, Qiyu Jin, Jean-Michel Morel, Gabriele Facciolo

Inverse Problems and Imaging - 2023

Logic in Computer Science

Infinitary Noetherian Constructions II. Transfinite Words and the Regular Subword Topology

We show that the spaces of transfinite words, namely ordinalindexed words, over a Noetherian space, is also Noetherian, under a natural topology which we call the regular subword topology. We characterize its sobrification and its specialization…

Jean Goubault-Larrecq, Simon Halfon, Aliaume Lopez

Colloquium Mathematicum - 2023

Ocean, Atmosphere

Pre-computation of image features for the classification of dynamic properties in breaking waves

The use of convolutional neural networks (CNNs) in image classification has become the standard method of approaching many computer vision problems. Here we apply pre-trained networks to classify images of non-breaking, plunging and spilling…

Ryan Smith, Frédéric Dias, Gabriele Facciolo, Thomas Brendan Murphy

European Journal of Remote Sensing - 2023

Santé publique et épidémiologie

Identification of rhinitis phenotypes using an unsupervised approach in the Constances cohort

Unsupervised approach has been scarcely used for rhinitis in adults population-based studies. We aimed to identify phenotypes using this the French cohort Constances. Among participants answering 2014 questionnaire, we included those with current i…

Marine Savouré, J. Jean Bousquet, Laurent Orsi, Marcel Goldberg, Bénédicte Leynaert, Mohamed Nadif, Céline Ribet, Marie Zins, Bénédicte Jacquemin, Nadif Rachel

Epidemiology - 2023

Life Sciences

Beneficial Effect of Bee Venom and Its Major Components on Facial Nerve Injury Induced in Mice

Peripheral nerve injury (PNI) is a health problem that affects many people worldwide. This study is the first to evaluate the potential effect of bee venom (BV) and its major components in a model of PNI in the mouse. For that, the BV used in this…

Hafsa Er-Rouassi, Meryem Bakour, Soumaya Touzani, Miguel Vilas-Boas, Soraia Falcão, Catherine Vidal, Badiaa Lyoussi

Biomolecules - 2023