29 citations · 103 across the 37 of their papers we have counts for
39 papers
Weak Functional Inequalities for Perturbed Measures
Patrick Cattiaux, Paula Cordero-Encinar, Arnaud Guillin
This paper is a follow up to an article by two of the authors dedicated to the study of Poincaré and logarithmic Sobolev inequalities for measures of the form where…
Diffusion annealed Langevin dynamics: a theoretical study
Patrick Cattiaux, Paula Cordero-Encinar, Arnaud Guillin
In this work we study the diffusion annealed Langevin dynamics, a score-based diffusion process recently introduced in the theory of generative models and which is an alternative t…
Entropy on the path space and application to singular diffusions and mean-field models
Patrick Cattiaux
In this paper we intend to present a unified treatment of a variety of singular interacting particle systems and their McKean-Vlasov limits. This unified approach is based on the u…
A journey with the integrated 2 criterion and its weak forms
Patrick Cattiaux, Arnaud Guillin
As the title indicates this paper will describe several extensions and applications of the 2 integrated criterion introduced by M. Ledoux following ideas of B. Hellffer. We intr…
Limit theorems for Hawkes processes including inhibition
Patrick Cattiaux, Laetitia Colombani, Manon Costa
In this paper we consider some non linear Hawkes processes with signed reproduction function (or memory kernel) thus exhibiting both self-excitation and inhibition. We provide a La…
Asymptotic deviation bounds for cumulative processes
Patrick Cattiaux, Laetitia Colombani, Manon Costa
The aim of this paper is to get asymptotic deviation bounds via a Large Deviation Principle (LDP) for cumulative processes also known as compound renewal processes or renewal-rewar…