7 citations · 17 across the 7 of their papers we have counts for
11 papers
Long-time behavior of the heterogeneous SIRS epidemiological model
Romain Ducasse, Maxime Laborde
We study the long-time behavior of solutions of the SIRS model, a reaction-diffusion system that appears in epidemiology to describe the spread of epidemics. We allow the system to…
Displacement smoothness of entropic optimal transport
Guillaume Carlier, Lénaïc Chizat, Maxime Laborde
The function that maps a family of probability measures to the solution of the dual entropic optimal transport problem is known as the Schrödinger map. We prove that when the cost…
Nesterov's method with decreasing learning rate leads to accelerated stochastic gradient descent
Maxime Laborde, Adam M. Oberman
We present a coupled system of ODEs which, when discretized with a constant time step/learning rate, recovers Nesterov's accelerated gradient descent algorithm. The same ODEs, when…
A differential approach to the multi-marginal Schr{ö}dinger system
Guillaume Carlier, Maxime Laborde
We develop an elementary and self-contained differential approach, in an setting, for well-posedness (existence, uniqueness and smooth dependence with respect to the dat…
Nonlinear systems coupled through multi-marginal transport problems
Maxime Laborde
In this paper, we introduce a dynamical urban planning model. This leads us to study a system of nonlinear equations coupled through multi-marginal optimal transport problems. A si…
Simulation of multiphase porous media flows with minimizing movement and finite volume schemes
Clément Cancès, Thomas O. Gallouët, Maxime Laborde +1
The Wasserstein gradient flow structure of the PDE system governing multiphase flows in porous media was recently highlighted in [C. Cancès, T. O. Gallouët, and L. Monsaingeon, {\i…