8 papers
Mean Field Games with Reflected Dynamics
Imane Jarni, Ayoub Laayoun, Badr Missaoui
This paper establishes an equilibrium existence result for a class of Mean Field Games involving Reflected Stochastic Differential Equations. The proof relies on the framework of r…
Multidimensional McKean-Vlasov SDEs with mean reflection: well-posedness and existence of optimal control
Imane Jarni, Ayoub Laayoun, Badr Missaoui
In this work, we investigate the multidimensional Skorokhod problem for cà dlà g processes, where the reflection is subject to a minimality condition depending on the law of the so…
Optimal control problem for reflected stochastic differential equation: existence
Ayoub Laayoun, Badr Missaoui
We establish the existence of both optimal relaxed controls and strict optimal controls for systems driven by Reflected Stochastic Differential Equations RSDEs. Our approach is bas…
Initialization-driven neural generation and training for high-dimensional optimal control and first-order mean field games
Mouhcine Assouli, Justina Gianatti, Badr Missaoui +1
This paper first introduces a method to approximate the value function of high-dimensional optimal control by neural networks. Based on the established relationship between Pontrya…
GeoScatt-GNN: A Geometric Scattering Transform-Based Graph Neural Network Model for Ames Mutagenicity Prediction
Abdeljalil Zoubir, Badr Missaoui
This paper tackles the pressing challenge of mutagenicity prediction by introducing three ground-breaking approaches. First, it showcases the superior performance of 2D scattering…
Reflected Mckean-Vlasov stochastic differential equations with jumps in time-dependent domains
Imane Jarni, Badr Missaoui, Youssef Ouknine
In this paper, we investigate the deterministic multidimensional Skorokhod problem with normal reflection in a family of time-dependent convex domains that are cà dlà g with respec…