38 citations · 134 across the 17 of their papers we have counts for
3 papers · 1 filter
Non-asymptotic convergence bounds for Wasserstein approximation using point clouds
Quentin Merigot, Filippo Santambrogio, Clément Sarrazin
Several issues in machine learning and inverse problems require to generate discrete data, as if sampled from a model probability distribution. A common way to do so relies on the…
Convergence of a Lagrangian discretization for barotropic fluids and porous media flow
Thomas Gallouët, Quentin Merigot, Andrea Natale
When expressed in Lagrangian variables, the equations of motion for compressible (barotropic) fluids have the structure of a classical Hamiltonian system in which the potential ene…
A Damped Newton Algorithm for Generated Jacobian Equations
Anatole Gallouët, Quentin Merigot, Boris Thibert
Generated Jacobian Equations have been introduced by Trudinger [Disc. cont. dyn. sys (2014), pp. 1663-1681] as a generalization of Monge-Amp{è}re equations arising in optimal trans…