3 citations · 6 across the 11 of their papers we have counts for
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Error estimates for finite-dimensional approximations of Hamilton-Jacobi-Bellman equations on the Wasserstein space
Samuel Daudin, Joe Jackson, Benjamin Seeger
In this paper, we study a Hamilton-Jacobi-Bellman (HJB) equation set on the Wasserstein space , with a second order term arising from a purely common n…
Genericity of Polyak-Lojasiewicz Inequalities for Entropic Mean-Field Neural ODEs
Samuel Daudin, François Delarue
We address the behavior of idealized deep residual neural networks (ResNets), modeled via an optimal control problem set over continuity (or adjoint transport) equations. The conti…
Optimal rate of convergence in the vanishing viscosity for uniformly convex Hamilton-Jacobi equations
Louis-Pierre Chaintron, Samuel Daudin
The purpose of this note is to provide an optimal rate of convergence in the vanishing viscosity regime for first-order Hamilton-Jacobi equations with uniformly convex Hamiltonian.…
Optimal rate of convergence in the vanishing viscosity for quadratic Hamilton-Jacobi equations
Louis-Pierre Chaintron, Samuel Daudin
The purpose of this note is to provide an optimal rate of convergence in the vanishing viscosity regime for first-order Hamilton-Jacobi equations with purely quadratic Hamiltonian.…