Location: MIC-Arena, Maria-Goeppert-Str. 3, 23562 Lübeck
Title: "Unbalanced Optimal Transport"
Optimal transport induces a geometrically intuitive metric on the space
of probability measures and is a powerful tool for image and data
analysis. With the evolution of efficient numerical methods it is
becoming 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 recent years, unbalanced transport problems, that allow
creation or annihilation of mass during transport, have received
increased attention.
In this talk we present several formulations for such problems,
efficient numerical methods and illustrate applications and advantages
of unbalanced metrics.
