Reports, data and web presentation of model hierarchies for the use in training courses

Autor: Bannenberg, Marcus, Bärmann, Andreas, Barral, Patricia, Jean-David Benamou, Bianco, Federico, Binder, Andreas, Chazareix, Guillaume, Ciccazzo, Angelo, Conte, Ricardo, Comesaña, Daniel Fernandez, Girfoglio, Michele, Günther, Michael, Ijzerman, Wilbert, Jadhav, Onkar, Lengomin, Alejandro, Martin, Alexander, Martinolli, Marco, Mehrmann, Volker, Morelli, Umberto, Ashwin Nayak, Polverelli, Luc, Prieto, Andrés, Peregrina Quintela, Ramlau, Ronny, Rozza, Gianluigi, Rukhaia, Giorgi, Shah, Nirav, Stabile, Giovanni, Stadler, Bernadett, Jonasz Staszek, Vergara, Christian

Deliverable D5.4 in the ROMSOC project

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11bf911b9e59917b3e7db34109364608

Optimal transportation, modelling and numerical simulation

Autor: Jean-David Benamou

Publikováno v: Acta Numerica
Acta Numerica, Cambridge University Press (CUP), 2021, 30, pp.249-325. ⟨10.1017/S0962492921000040⟩
Acta Numerica, 2021, 30, pp.249-325. ⟨10.1017/S0962492921000040⟩

International audience; We present an overviewof the basic theory, modern optimal transportation extensions and recent algorithmic advances. Selected modelling and numerical applications illustrate the impact of optimal transportation in numerical an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::276e52e8ee4146a264ecec4d261cca16
https://hal.inria.fr/hal-03344549

A numerical solution to Monge’s problem with a Finsler distance as cost

Autor: Roméo Hatchi, Guillaume Carlier, Jean-David Benamou

Publikováno v: ESAIM: Mathematical Modelling and Numerical Analysis. 52:2133-2148

Monge’s problem with a Finsler cost is intimately related to an optimal ow problem. Discretization of this problem and its dual leads to a well-posed finite-dimensional saddle-point problem which can be solved numerically relatively easily by an au

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::59c34ae1eacd3163c4cf63205ef1632b
https://doi.org/10.1051/m2an/2016077

An augmented Lagrangian approach to Wasserstein gradient flows and applications

Autor: Jean-David Benamou, Guillaume Carlier, Maxime Laborde

Publikováno v: ESAIM: Proceedings and Surveys
ESAIM: Proceedings and Surveys, 2019
ESAIM: Proceedings and Surveys, EDP Sciences, 2019
ESAIM: Proceedings and Surveys, Vol 54, Pp 1-17 (2016)

International audience; Taking advantage of the Benamou-Brenier dynamic formulation of optimal transport, we propose a convex formulation for each step of the JKO scheme for Wasserstein gradient flows which can be attacked by an augmented Lagrangian

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1d6f92f3819e9407368253b0456586d
https://hal.science/hal-01245184/document

Second order models for optimal transport and cubic splines on the Wasserstein space

Autor: Thomas Gallouët, Jean-David Benamou, François-Xavier Vialard

Publikováno v: Foundations of Computational Mathematics
Foundations of Computational Mathematics, 2019, ⟨10.1007/s10208-019-09425-z⟩
Foundations of Computational Mathematics, Springer Verlag, 2019, ⟨10.1007/s10208-019-09425-z⟩

International audience; On the space of probability densities, we extend the Wasserstein geodesics to the case of higher-order interpolation such as cubic spline interpolation. After presenting the natural extension of cubic splines to the Wasserstei

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc62cd9ca4f240e6ce2267e7b5c04772