output
20212025
most citedOn the Stability of Positive Semigroups

2 citations

6 papers

cs.LG2025

Empirical Results for Adjusting Truncated Backpropagation Through Time while Training Neural Audio Effects

Yann Bourdin, Pierrick Legrand, Fanny Roche

This paper investigates the optimization of Truncated Backpropagation Through Time (TBPTT) for training neural networks in digital audio effect modeling, with a focus on dynamic ra…

math.PR2023

Self-interacting diffusions: long-time behaviour and exit-problem in the convex case

Ashot Aleksian, Pierre del Moral, Aline Kurtzmann +1

We study a class of time-inhomogeneous diffusion: the self-interacting one. We show a convergence result with a rate of convergence that does not depend on the diffusion coefficien…

math.PR2023

A Lyapunov approach to stability of positive semigroups: An overview with illustrations

Marc Arnaudon, Pierre Del Moral, El Maati Ouhabaz

The stability analysis of possibly time varying positive semigroups on non necessarily compact state spaces, including Neumann and Dirichlet boundary conditions is a notoriously di…

math.PR2021★ 2 cited

On the Stability of Positive Semigroups

Pierre del Moral, Emma Horton, Ajay Jasra

The stability and contraction properties of positive integral semigroups on Polish spaces are investigated. Our novel analysis is based on the extension of V-norm contraction metho…

math.DS2021

A note on Riccati matrix difference equations

Pierre del Moral, Emma Horton

Discrete algebraic Riccati equations and their fixed points are well understood and arise in a variety of applications, however, the time-varying equations have not yet been fully…

math.PR2021

A theoretical analysis of one-dimensional discrete generation ensemble Kalman particle filters

Pierre del Moral, Emma Horton

Despite the widespread usage of discrete generation Ensemble Kalman particle filtering methodology to solve nonlinear and high dimensional filtering and inverse problems, little is…