Publications

Mathematics

Anisotropic diffusion filter for 3D full waveform inversion: application to a North Sea dataset

Main objectives To present a regularization strategy for seismic imaging using the full waveform which naturally accounts for the structure information contained in the gradient. A comparison with a conventional Gaussian smoothing strategy on a 3D…

Ludovic Métivier, Romain Brossier, Alexandre Hoffmann, Jean-Marie Mirebeau, Giuseppe Provenzano, Alizia Tarayoun, Peng Yong

84th EAGE Annual Conference & Exhibition - 2023

Computer Science

Derivation of a protocol agnostic current clamp description for the cross-analysis of diverse neuronal electrophysiological databases

Biophysically realistic spiking network models rely on the ability of the cellular models to be coherent with the biological diversity of cellular properties and electrophysiological behavior, for example how synaptic conductance inputs impact…

Julien Ballbé, Margaux Calice, Marta Gajowa, Daniele Marinazzo, Lyle J Graham

Annual Meeting of the Society of Neuroscience - 2023

Computer Science

Efficient approximations for probabilistic synaptic connectivity in large-scale network models

Several point-neuron network models combine data from anatomy and electrophysiology, with probability or deterministic rules to construct realistic synaptic connections. For reviews of these models and general guidelines for network models see (2,3)…

Margaux Calice, Julien Ballbé, Lyle J Graham

Annual Meeting of the Society of Neuroscience - 2023

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