Louis Roussel
PhD Student since 2022
Supervised by François Lemaire
louis.roussel@univ-lille.fr
CFHP team, CRIStAL
Université de Lille (France)
Supervised by François Lemaire
louis.roussel@univ-lille.fr
CFHP team, CRIStAL
Université de Lille (France)
I work on systems of nonlinear differential equations. My thesis focuses on
computing Input/Ouput integral equations from a dynamical system using integral elimination.
The aim is to perform parameter estimation from the integral equations to deal with noisy measurements.
Another part of my work is using deep learning techniques to improve the integral elimination algorithm I am working on.
Keywords:
Computer Algebra, Computer Science, integral elimination, deep learning, NLP, Transformer
Softwares
- IntegralElimination: Algorithm for performing integral elimination for nonlinear integral equations
- parameter-estimation-IO-equations: Package for computing cost/gradient/hessian functions from an integro-differential equation and to do parameter estimation.
- IntegroDifferentialDeepLearning: Package for manipulating systems of differential and integral equations using deep learning technics.