@inproceedings{53009573b28940709318623ccc03a503,
title = "Extremal curves in wasserstein space",
abstract = "We show that known Newton-type laws for Optimal Mass Transport, Schr{\"o}dinger Bridges and the classic Madelung fluid can be derived from variational principles on Wasserstein space. The second order differential equations are accordingly obtained by annihilating the first variation of a suitable action.",
keywords = "Calculus of variations, Displacement interpolation, Entropic interpolation, Kantorovich-Rubinstein metric, Madelung fluid, Schr{\"o}dinger bridge",
author = "Giovanni Conforti and Michele Pavon",
note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.; 3rd International Conference on Geometric Science of Information, GSI 2017 ; Conference date: 07-11-2017 Through 09-11-2017",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-3-319-68445-1\_11",
language = "English",
isbn = "9783319684444",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "91--99",
editor = "Frank Nielsen and Frederic Barbaresco and Frank Nielsen",
booktitle = "Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings",
}