425 citations
- École PolytechniqueFR304 papers
- Centre National de la Recherche ScientifiqueFR71 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR17 papers
- Centre de Recherche en Mathématiques de la DécisionFR15 papers
- Université Paris-SaclayFR15 papers
- Laboratoire de Mathématiques Blaise PascalFR14 papers
- Institut national de recherche en sciences et technologies du numériqueFR13 papers
- Sorbonne UniversitéFR13 papers
- Institut Universitaire de FranceFR12 papers
- Université Paris NanterreFR12 papers
- Laboratoire de Mathématiques d'OrsayFR11 papers
- Laboratoire de Probabilités, Statistique et ModélisationFR11 papers
24 papers · 1 filter
Computer-assisted proofs for the many steady states of a chemotaxis model with local sensing
Maxime Breden, Maxime Payan
We study the steady states of a system of cross-diffusion equations arising from the modeling of chemotaxis with local sensing, where the motility is a decreasing function of the c…
Wellposedness of the cubic Gross-Pitaevskii equation with spatial white noise on
Pierre Mackowiak
In this paper, we prove the global wellposedness of the Gross-Pitaevskii equation with white noise potential, i.e. a cubic nonlinear Schr{ö}dinger equation with harmonic confining…
Compression with Exact Error Distribution for Federated Learning
Mahmoud Hegazy, Rémi Leluc, Cheuk Ting Li +1
Compression schemes have been extensively used in Federated Learning (FL) to reduce the communication cost of distributed learning. While most approaches rely on a bounded variance…
A mesh-independent method for second-order potential mean field games
Kang Liu, Laurent Pfeiffer
This article investigates the convergence of the Generalized Frank-Wolfe (GFW) algorithm for the resolution of potential and convex second-order mean field games. More specifically…
Approximate Heavy Tails in Offline (Multi-Pass) Stochastic Gradient Descent
Krunoslav Lehman Pavasovic, Alain Durmus, Umut Simsekli
A recent line of empirical studies has demonstrated that SGD might exhibit a heavy-tailed behavior in practical settings, and the heaviness of the tails might correlate with the ov…
Volume computation for Meissner polyhedra and applications
Beniamin Bogosel
The volume of a Meissner polyhedron is computed in terms of the lengths of its dual edges. This allows to reformulate the Meissner conjecture regarding constant width bodies with m…