Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Analysis-Seminar Augsburg-München

 

Professor Brendan Pass
University of Alberta
 
spricht am
 
Donnerstag, 5. Dezember 2019
 
um
 
17:15 Uhr
 
im
 
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
 
über das Thema:
 

»Optimal transport and barycenters for dendritic measures«

Abstract:
We introduce and study a variant of the Wasserstein distance on the space of probability measures, specially designed to deal with measures whose support has a dendritic, or treelike structure with a particular direction of orientation. Our motivation is the comparison of and interpolation between plants' root systems. We characterize barycenters with respect to this metric, and establish that the interpolations of root-like measures, using this new metric, are also root like, in a certain sense; this property fails for conventional Wasserstein barycenters. We also establish geodesic convexity with respect to this metric for a variety of functionals, some of which we expect to have biological importance. This represents joint work with Young-Heon Kim and Dave Schneider.

 

Hierzu ergeht herzliche Einladung.


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