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SUMMARY:Unbalanced Optimal Transport - Bernhard Schmitzer\, University of 
 Münster
DTSTART:20180712T130000Z
DTEND:20180712T140000Z
UID:TALK105676@talks.cam.ac.uk
CONTACT:Matthew Thorpe
DESCRIPTION:Optimal transport induces a geometrically intuitive metric on 
 the space of probability measures and is a powerful tool for image and dat
 a analysis. With the evolution of efficient numerical methods it is becomi
 ng increasingly popular. However\, in many models the assumption that all 
 measures have unit mass and that mass is exactly preserved locally are too
  restrictive\, for instance in biochemical growth processes. Hence\, in re
 cent years\, `unbalanced' transport problems\, that allow creation or anni
 hilation of mass during transport\, have received increased attention. In 
 this talk we present several formulations for such problems\, efficient nu
 merical methods and illustrate applications and advantages of unbalanced m
 etrics.\n\nThis is joint work with Lénaïc Chizat\, Gabriel Peyré\, Fran
 çois-Xavier Vialard and Benedikt Wirth.
LOCATION:MR 14
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