Multi-marginal Optimal Transport and Density Functional Theory: a mathematical setting for physical ideas

Project Information

OTmeetsDFT

Grant agreement ID: 795942

DOI

10.3030/795942

Project closed

EC signature date 19 March 2018

Start date 1 May 2019

End date 30 April 2021

Funded under

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Total cost

€ 177 598,80

EU contribution

€ 177 598,80

Coordinated by

STICHTING VU
Netherlands

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Publications

Peer reviewed articles (3)

An Optimal Transport Approach for the Schrödinger Bridge Problem and Convergence of Sinkhorn Algorithm

Author(s): Simone Di Marino, Augusto Gerolin
Published in: Journal of Scientific Computing, Issue 85/2, 2020, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-020-01325-7

Kinetic Correlation Functionals from the Entropic Regularization of the Strictly Correlated Electrons Problem

Author(s): Augusto Gerolin, Juri Grossi, Paola Gori-Giorgi
Published in: Journal of Chemical Theory and Computation, Issue 16/1, 2019, Page(s) 488-498, ISSN 1549-9618
Publisher: American Chemical Society
DOI: 10.1021/acs.jctc.9b01133

Multi-marginal entropy-transport with repulsive cost

Author(s): Augusto Gerolin, Anna Kausamo, Tapio Rajala
Published in: Calculus of Variations and Partial Differential Equations, Issue 59/3, 2020, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-020-01735-3

Other (4)

A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature

Author(s): Dario Feliciangeli, Augusto Gerolin, Lorenzo Portinale
Published in: ArXiv preprint (submitted), 2021
Publisher: arxiv

Optimal Transport losses and Sinkhorn algorithm with general convex regularization

Author(s): Di Marino, Simone; Gerolin, Augusto
Published in: Arxiv (submitted to publication), 2020
Publisher: under review

Entropy-Regularized 2-Wasserstein Distance between Gaussian Measures

Author(s): Anton Mallasto; Augusto Gerolin; Hà Quang Minh
Published in: Accepted to a Special Issue in Information Geometry (Springer), 2020
Publisher: arxiv (under review)

How Well Do WGANs Estimate the Wasserstein Metric?

Author(s): Mallasto, Anton; Montúfar, Guido; Gerolin, Augusto
Published in: Arxiv repository, 2019
Publisher: Arxiv repository

Conference proceedings (1)

Learning normalizing flows from Entropy-Kantorovich potentials

Author(s): Chris Finlay; Augusto Gerolin; Adam M Oberman; Aram-Alexandre Pooladian
Published in: ICML Workshop on Invertible Neural Networks, Normalizing Flows, and Explicit Likelihood Models, Issue 2020, 2020
Publisher: ICML