An optimal transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm SD Marino, A Gerolin Journal of Scientific Computing 85 (2), 27, 2020 | 98 | 2020 |
Optimal transportation theory with repulsive costs S Di Marino, A Gerolin, L Nenna Topological optimization and optimal transport 17, 204-256, 2017 | 63 | 2017 |
Entropy-regularized 2-Wasserstein distance between Gaussian measures A Mallasto, A Gerolin, HQ Minh Information Geometry 5 (1), 289-323, 2022 | 40 | 2022 |
The strictly-correlated electron functional for spherically symmetric systems revisited M Seidl, S Di Marino, A Gerolin, L Nenna, KJH Giesbertz, P Gori-Giorgi arXiv preprint arXiv:1702.05022, 2017 | 30 | 2017 |
Learning normalizing flows from Entropy-Kantorovich potentials C Finlay, A Gerolin, AM Oberman, AA Pooladian arXiv preprint arXiv:2006.06033, 2020 | 28 | 2020 |
Optimal transport losses and Sinkhorn algorithm with general convex regularization S Di Marino, A Gerolin arXiv preprint arXiv:2007.00976, 2020 | 27 | 2020 |
How well do wgans estimate the wasserstein metric? A Mallasto, G Montúfar, A Gerolin arXiv preprint arXiv:1910.03875, 2019 | 27 | 2019 |
The strong-interaction limit of density functional theory G Friesecke, A Gerolin, P Gori-Giorgi Density Functional Theory: Modeling, Mathematical Analysis, Computational …, 2022 | 25 | 2022 |
Density functionals based on the mathematical structure of the strong‐interaction limit of DFT S Vuckovic, A Gerolin, KJ Daas, H Bahmann, G Friesecke, P Gori‐Giorgi Wiley Interdisciplinary Reviews: Computational Molecular Science 13 (2), e1634, 2023 | 22 | 2023 |
Kinetic correlation functionals from the entropic regularization of the strictly correlated electrons problem A Gerolin, J Grossi, P Gori-Giorgi Journal of Chemical Theory and Computation 16 (1), 488-498, 2019 | 21 | 2019 |
Optimal potentials for Schrödinger operators G Buttazzo, A Gerolin, B Ruffini, B Velichkov Journal de l’École polytechnique-Mathématiques 1, 71-100, 2014 | 21 | 2014 |
Multi-marginal entropy-transport with repulsive cost A Gerolin, A Kausamo, T Rajala Calculus of Variations and Partial Differential Equations 59 (3), 90, 2020 | 20 | 2020 |
The adiabatic strictly-correlated-electrons functional: kernel and exact properties G Lani, S Di Marino, A Gerolin, R van Leeuwen, P Gori-Giorgi Physical Chemistry Chemical Physics 18 (31), 21092-21101, 2016 | 20 | 2016 |
Nonexistence of optimal transport maps for the multimarginal repulsive harmonic cost A Gerolin, A Kausamo, T Rajala SIAM Journal on Mathematical Analysis 51 (3), 2359-2371, 2019 | 13 | 2019 |
Entropy-Regularized -Wasserstein Distance between Gaussian Measures A Mallasto, A Gerolin, HQ Minh arXiv preprint arXiv:2006.03416, 2020 | 10 | 2020 |
Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces A Gerolin, A Kausamo, T Rajala ESAIM: Control, Optimisation and Calculus of Variations 25, 62, 2019 | 8 | 2019 |
Optimal Transportation Theory with Repulsive Costs, vol.“Topological Optimization and Optimal Transport in the Applied Sciences” of Radon Series on Computational and Applied … S Di Marino, A Gerolin, L Nenna De Gruyter, 2017 | 8 | 2017 |
A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature D Feliciangeli, A Gerolin, L Portinale Journal of Functional Analysis 285 (4), 109963, 2023 | 7 | 2023 |
Universal diagonal estimates for minimizers of the Levy–Lieb functional S Di Marino, A Gerolin, L Nenna Letters in Mathematical Physics 113 (5), 105, 2023 | 1 | 2023 |
Non-commutative Optimal Transport for semi-definite positive matrices A Gerolin, N Monina arXiv preprint arXiv:2309.04846, 2023 | 1 | 2023 |