output
20042026
most citedGeometric Losses for Distributional Learning

3 citations

28 papers

cs.LG2026

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…

math.AP2025

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…

math.AP2024

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…

math.FA2023

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…

math.FA2023

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…

math.CA2023

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…