Publications
[1] Quantum optimal transport with convex regularization (2024)
(with E. Caputo, N. Monina, L. Portinale), pre-print
[2] Existence and uniqueness of Monge minimizers for a Multi-marginal Optimal Transport problem with intermolecular interactions cost (2024)
(with , M. Petrache, A. Vargas-Jimenez), pre-print
[3] Non-commutative Optimal Transport for semi-definite positive matrices (2023)
(with , N. Monina), pre-print
[4] Universal diagonal estimates for minimizers of the Levy-Lieb functional (2023)
(with S. Di Marino, L. Nenna), Letters in Mathematical Physics
[5] A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature (2023)
(with D. Feliciangeli, L. Portinale), Journal of Functional Analysis
[6] Density Functionals based on the mathematical structure of the strong-interaction limit of DFT (2022)
(with H. Bahmann, G. Friesecke, P. Gori-Giorgi, . Timothy J. Daas, S. Vuckovic), pre-print
[7] The strong-interaction limit of density functional theory (2022)
(with G. Friesecke, P. Gori-Giorgi), pre-print
[8] Optimal Transport losses and Sinkhorn algorithm with general convex regularization (2020)
(with S. Di Marino), pre-print
[9] Learning normalizing flows from Entropy-Kantorovich potentials (2020)
(with . Adam M Oberman, C. Finlay, A. Pooladian), pre-print
[10] Entropy-Regularized $2$-Wasserstein Distance between Gaussian Measures (2020)
(with , . Hà Quang Minh, A. Mallasto), pre-print
[11] Kinetic correlation functionals from the entropic regularisation of the strictly-correlated electrons problem (2020)
(with , P. Gori-Giorgi, J. Grossi), J. Chem. Theory Comput.
[12] Multi-marginal Entropy-Transport with repulsive cost (2020)
(with , A. Kausamo, T. Rajala), Calculus of Variations and Partial Differential Equations
[13] How Well Do WGANs Estimate the Wasserstein Metric? (2019)
(with , A. Mallasto, G. Montúfar), pre-print
[14] An Optimal Transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm (2019)
(with S. Di Marino), pre-print
[15] Non-existence of optimal transport maps for the multi-marginal repulsive harmonic cost (2019)
(with , A. Kausamo, T. Rajala), SIAM Journal on Mathematical Analysis
[16] Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces (2019)
(with , A. Kausamo, T. Rajala), ESAIM: COCV
[17] The strictly-correlated electron functional for spherically symmetric systems revisited (2017)
(with S. Di Marino, K. Giesbertz, P. Gori-Giorgi, L. Nenna, M. Seidl), pre-print
[18] Optimal transportation theory for repulsive costs (2017)
(with S. Di Marino, L. Nenna), Topological Optimization and Optimal Transport In the Applied Sciences
[19] The adiabatic strictly-correlated-electrons functional: kernel and exact properties (2016)
(with S. Di Marino, P. Gori-Giorgi, G. Lani, R. van Leeuwen), Physical Chemistry Chemical Physics
[20] Optimal Potentials for Schrödinger Operators (2013)
(with G. Buttazzo, B. Ruffini, B. Velichkov), J. Éc. polytech. Math.