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SUMMARY:Symmetrization and the Wasserstein Metric - Adam Kashlak
DTSTART:20171115T160000Z
DTEND:20171115T170000Z
UID:TALK94804@talks.cam.ac.uk
CONTACT:Kasia Wyczesany
DESCRIPTION:Symmetrization generally takes on the form of multiplying your
  observed data by random signs--i.e. +/- 1's.  This simple idea\, however\
 , has a wide range of applications from inequalities in Banach spaces to b
 ootstrap methods in statistics.  In this talk\, we will discuss the symmet
 rization inequality\, its connection to a variety of topics in mathematica
 l analysis\, probability\, and statistics\, and how it can be viewed from 
 the lens of optimal transport theory.  In general\, the asymmetry of the d
 ata is not taken into account when using symmetrization tools.  We aim to 
 rectify that with the use of the Wasserstein metric as a measure of such a
 symmetry.
LOCATION:MR14\, Centre for Mathematical Sciences
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