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SUMMARY:Darrick Lee (EPFL - Switzerland)
DTSTART:20230317T160000Z
DTEND:20230317T170000Z
DTSTAMP:20260423T022916Z
UID:GEOTOP-A/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEOTOP-A/38/
 ">Mapping Space Signatures</a>\nby Darrick Lee (EPFL - Switzerland) as par
 t of GEOTOP-A seminar\n\n\nAbstract\nThe path signature is a characterizat
 ion of paths which has led to the development of rough paths in stochastic
  analysis\, and a powerful set of novel tools for time series data in mach
 ine learning. In this talk\, we begin with some background on signature me
 thods in machine learning. We introduce the mapping space signature\, a ge
 neralization of the path signature for maps from higher dimensional cubica
 l domains (such as images or videos)\, which is motivated by the topologic
 al/geometric perspective of iterated integrals of differential forms by K.
  T. Chen. The mapping space signature shares many of the analytic and alge
 braic properties of the path signature\, in particular it is universal and
  characteristic. This is joint work with Chad Giusti\, Vidit Nanda\, and H
 arald Oberhauser.\n
LOCATION:https://researchseminars.org/talk/GEOTOP-A/38/
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