Issue |
ESAIM: COCV
Volume 25, 2019
|
|
---|---|---|
Article Number | 23 | |
Number of page(s) | 54 | |
DOI | https://doi.org/10.1051/cocv/2018017 | |
Published online | 26 July 2019 |
Dynamic models of Wasserstein-1-type unbalanced transport
Applied Mathematics: Institute for Analysis and Numerics, University of Muenster,
Einsteinstr. 62,
48149
Muenster,
Germany
* Corresponding author: schmitzer@uni-muenster.de
Received:
17
July
2017
Accepted:
2
March
2018
We consider a class of convex optimization problems modelling temporal mass transport and mass change between two given mass distributions (the so-called dynamic formulation of unbalanced transport), where we focus on those models for which transport costs are proportional to transport distance. For those models we derive an equivalent, computationally more efficient static formulation, we perform a detailed analysis of the model optimizers and the associated optimal mass change and transport, and we examine which static models are generated by a corresponding equivalent dynamic one. Alongside we discuss thoroughly how the employed model formulations relate to other formulations found in the literature.
Mathematics Subject Classification: 49K15 / 37N40
Key words: Wasserstein distance / unbalanced transport / convex optimization
© EDP Sciences, SMAI 2019
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.