Research

- A Lyapunov analysis for accelerated gradient methods: From deterministic to stochastic case,  with A. Oberman
- long version, preprint (submited), 2019,
 - short version, accepted in Proceedings of the 23rd International Conference on Artificial Intelligence and Statistics (AISTATS), 2020,
    - A regularization interpretation of the proximal point method for weakly convex functions, with T. Hoheisel and A. Oberman, Journal of Dynamics and Games, 2020,
    - A differential approach to the multi-marginal Schrödinger system, with G. Carlier, SIAM Journal on Mathematical Analysis, 2020,
    - Nonlinear systems coupled through multi-marginal transport problems, European Journal of Applied Mathematics, 2019,
    - Simulation of multiphase porous media flows with minimizing movement and finite volume schemes, with C. Cancès, T.O Gallouët and L. Monsaingeon, European Journal of Applied Mathematics, 2018,
 - On cross-diffusion systems for two populations subject to a common congestion effect, Applied Mathematics & Optimization, 2018,
- On the Wasserstein distance between mutually singular measures, with G. Buttazzo and G. Carlier, Adv. Calc. Var, 2017,
 - An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems, with T.O Gallouët and L. Monsaingeon, ESAIM:COCV, 2017,
 - Splitting methods for systems of parabolic equations with nonlocal drifts in the nonpotential case, with G. Carlier, Nonlinear Analysis: Theory,Methods and Applications, 2017,
 - Remarks on continuity equations with nonlinear diffusion and nonlocal drifts,  with G. Carlier, JMAA, 2016,
 - An augmented Lagrangian approach to Wasserstein gradient flows and applications, with J-D. Benamou and G. Carlier, ESAIM: ProcS, 2016,
 - On some non linear evolution systems which are perturbations of Wasserstein gradient flows, special volume RICAM, 2015