Zobrazeno 1 - 10
of 6 304
pro vyhledávání: '"A Delarue"'
Graph Neural Networks (GNNs) and their message passing framework that leverages both structural and feature information, have become a standard method for solving graph-based machine learning problems. However, these approaches still struggle to gene
Externí odkaz:
http://arxiv.org/abs/2411.12330
Recent years have witnessed a rapid growth of recommender systems, providing suggestions in numerous applications with potentially high social impact, such as health or justice. Meanwhile, in Europe, the upcoming AI Act mentions \emph{transparency} a
Externí odkaz:
http://arxiv.org/abs/2407.12357
The purpose of this short note is to prove a convenient version of It\^o's formula for the Rearranged Stochastic Heat Equation (RSHE) introduced by the two authors in a previous contribution. This equation is a penalised version of the standard Stoch
Externí odkaz:
http://arxiv.org/abs/2406.06471
Autor:
Kenis, Michiel, Dvorkin, Vladimir, Schittekatte, Tim, Bruninx, Kenneth, Delarue, Erik, Botterud, Audun
Policy makers are formulating offshore energy infrastructure plans, including wind turbines, electrolyzers, and HVDC transmission lines. An effective market design is crucial to guide cost-efficient investments and dispatch decisions. This paper join
Externí odkaz:
http://arxiv.org/abs/2405.13169
In this paper we consider stochastic Fokker-Planck Partial Differential Equations (PDEs), obtained as the mean-field limit of weakly interacting particle systems subjected to both independent (or idiosyncratic) and common Brownian noises. We provide
Externí odkaz:
http://arxiv.org/abs/2405.09950
This article provides a case study for a recently introduced diffusion in the space of probability measures over the reals, namely rearranged stochastic heat, which solves a stochastic partial differential equation valued in the set of symmetrised qu
Externí odkaz:
http://arxiv.org/abs/2403.16140
Autor:
Delarue, François, Martini, Mattia
The purpose of this work is to provide a finite dimensional approximation of the solution to a mean field optimal control problem set on the $d$-dimensional torus. The approximation is obtained by means of a Fourier-Galerkin method, the main principl
Externí odkaz:
http://arxiv.org/abs/2403.15642
Autor:
Delarue, Benjamin, Hilgert, Joachim
For negatively curved symmetric spaces it is known that the poles of the scattering matrices defined via the standard intertwining operators for the spherical principal representations of the isometry group are either given as poles of the intertwini
Externí odkaz:
http://arxiv.org/abs/2403.14426
By constructing a non-empty domain of discontinuity in a suitable homogeneous space, we prove that every torsion-free projective Anosov subgroup is the monodromy group of a locally homogeneous contact Axiom A dynamical system with a unique basic hype
Externí odkaz:
http://arxiv.org/abs/2403.14257
When training predictive models on data with missing entries, the most widely used and versatile approach is a pipeline technique where we first impute missing entries and then compute predictions. In this paper, we view prediction with missing data
Externí odkaz:
http://arxiv.org/abs/2402.01543