32 citations · 110 across the 8 of their papers we have counts for
8 papers
NuNER: Entity Recognition Encoder Pre-training via LLM-Annotated Data
Sergei Bogdanov, Alexandre Constantin, Timothée Bernard +2
Large Language Models (LLMs) have shown impressive abilities in data annotation, opening the way for new approaches to solve classic NLP problems. In this paper, we show how to use…
Loskot-Rudnicki's inequality and General Relative Entropy inequality for Cauchy problems preserving positivity
Etienne Bernard
The Generalized Relative Entropy inequality is a ubiquitous property in mathematical models applied in physics or biology. In spite of its importance, it is currently proved on a c…
Hypocoercivity with Schur complements
E. Bernard, M. Fathi, A. Levitt +1
We propose an approach to obtaining explicit estimates on the resolvent of hypocoercive operators by using Schur complements, rather than from an exponential decay of the evolution…
Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate
Etienne Bernard, Pierre Gabriel
The objective is to prove the asynchronous exponential growth of the growth-fragmentation equation in large weighted spaces and under general assumptions on the coefficients.…
A Derivation of the Vlasov-Stokes System for Aerosol Flows from the Kinetic Theory of Binary Gas Mixtures
Etienne Bernard, Laurent Desvillettes, François Golse +1
In this short paper, we formally derive the thin spray equation for a steady Stokes gas, i.e. the equation consists in a coupling between a kinetic (Vlasov type) equation for the d…
Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts
Etienne Bernard, Marie Doumic, Pierre Gabriel
We study the asymptotic behaviour of the following linear growth-fragmentation equation$$\dfrac{\partial}{\partial t} u(t,x) + \dfrac{\partial}{\partial x} \big(x u(t,x)\big) + B(x…