3 citations
- Département de mathématiques et applicationsFR16 papers
- École Normale Supérieure - PSLFR15 papers
- Université Paris Sciences et LettresFR8 papers
- Laboratoire de Mathématiques d'OrsayFR4 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR3 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR2 papers
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- Sorbonne UniversitéFR2 papers
- Cancer et génome: Bioinformatique, biostatistiques et épidémiologie des systèmes complexes1 paper
- Copenhagen Institute for Futures StudiesDK1 paper
- Cornell UniversityUS1 paper
28 papers
Gaussian Flow-Matching Schedules: Implications for Sampling and Training
Arsène Claustre, Hugo Negrel, Claire Boyer +2
Flow-matching schedules affect both sampling dynamics and the variance of the regression target. For centered commuting Gaussians, we show that a direction-dependent schedule decom…
Nonlinear Forward-Backward Problems
Anne-Laure Dalibard, Frédéric Marbach, Jean Rax
We prove the existence and uniqueness of strong solutions to the equation in the vicinity of the linear shear flow, subject to perturbations of the source term…
Profile decomposition and scattering for general nonlinear Schr{ö}dinger equations
Thomas Duyckaerts, Phan van Tin
We consider a Schr{ö}dinger equation with a nonlinearity which is a general perturbation of a power'' nonlinearity. We construct a profile decomposition adapted to this nonlinearit…
Perron's capacity of random sets
Anthony Gauvan
Given a sequence of random variables uniformly distributed in and independent, we consider the following random sets of directions $$Ω_{\te…
A family of interpolation inequalities involving products of low-order derivatives
Frédéric Marbach
Gagliardo-Nirenberg interpolation inequalities relate Lebesgue norms of iterated derivatives of a function. We present a generalization of these inequalities in which the low-order…
Maximal operators on hyperbolic triangles
Anthony Gauvan, Samuel Bronstein, Romain Branchereau
We characterize the boundedness properties on the spaces of the maximal operator where is an arbitrary family of hyperbolic triang…