J. D. Benamou, G. Carlier, M. Cuturi, L. Nenna, G. Peyré:
Iterative Bregman projections for regularized transportation problems
SIAM Journal on Scientific Computing 2015
J. D. Benamou, G. Carlier, L. Nenna:
A Numerical Method to solveMulti-Marginal Optimal Transport Problems with Coulomb Cost
Splitting Methods in Communication, Imaging, Science, and Engineering 2015
L. Nenna:
Numerical Methods for Multi-Marginal Optimal Transportation
(Phd Thesis) 2016
A. Blanchet, G. Carlier, L. Nenna:
Computation of Cournot-Nash equilibria by entropic regularization
Vietnam Journal of Mathematics 2017
S. Di Marino, A. Gerolin, K. Giesbertz, P. Gori-Giorgi, L. Nenna, M. Seidl:
The strictly-correlated electron functional for spherically symmetric systems revisited
(Submitted Paper) 2017
S. Di Marino, A. Gerolin, L. Nenna:
Optimal transportation theory for repulsive costs
Topological Optimization and Optimal Transport In the Applied Sciences 2017
J. D. Benamou, G. Carlier, L. Nenna:
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm
Numerische Mathematik (Accepted Paper) 2018
J. D. Benamou, G. Carlier, S. Di Marino, L. Nenna:
An entropy minimization approach to second-order variational mean field games
M3AS (Accepted Paper) 2018
L. Nenna, B. Pass:
Variational problems involving unequal dimensional optimal transport
Journal de Mathématiques Pures et Appliquées (Accepted Paper) 2020
S. Di Marino, M. Lewin, L. Nenna:
Grand-Canonical Optimal Transport
(Preprint) 2022
L. Nenna, B. Pass:
A note on Cournot-Nash equilibria and Optimal Transport between unequal dimensions
(Proceedings) 2022
L. Nenna, B. Pass:
Transport type metrics on the space of probability measures involving singular base measures
Applied Mathematics and Optimization (Accepted Paper) 2022
H. Ennaji, Q. Mérigot, L. Nenna, B. Pass:
Robust risk management via multi-marginal optimal transport
(Preprint) 2022
L. Nenna, B. Pass:
An ODE characterisation of multi-marginal optimal transport with pairwise cost functions
(Preprint) 2022
S. Di Marino, A. Gerolin, L. Nenna:
Universal diagonal estimates for minimizers of the Levy-Lieb functional
(Accepted Paper) 2023
V. Ehrlacher, L. Nenna:
A sparse approximation of the Lieb functional with moment constraints
(Preprint) 2023
J. D. Benamou, G. Carlier, M. Cuturi, L. Nenna, G. Peyré:
A numerical method for regularized transportation problems
Frontiers of Science Award paper (Proceedings) 2024
L. De Pascale, L. Nenna:
A variational formulation of a Multi-Population Mean Field Games with non-local interactions
(Preprint) 2024
J. Hiew, L. Nenna, B. Pass:
An ordinary differential equation for entropic optimal transport and its linearly constrained variants
(Preprint) 2024
L. Nenna, P. Pegon:
Convergence rate of entropy-regularized multi-marginal optimal transport costs
Canadian Journal of Mathematics p. pp. 1-21, 2024
S. Di Marino, M. Lewin, L. Nenna:
The ground state energy is not always convex in the number of electrons
(Preprint) 2024