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SUMMARY:John Harvey (Swansea University)
DTSTART:20210420T130000Z
DTEND:20210420T140000Z
DTSTAMP:20260405T054344Z
UID:IrishGeomSeminar/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IrishGeomSem
 inar/11/">Estimating the reach of a submanifold</a>\nby John Harvey (Swans
 ea University) as part of Irish Geometry Seminar\n\n\nAbstract\nThe reach 
 is an important geometric invariant of submanifolds of Euclidean space. It
  is a real-valued global invariant incorporating information about the sec
 ond fundamental form of the embedding and the location of the first critic
 al point of the distance from the submanifold. In the subject of geometric
  inference – estimating the geometry from samples of points drawn from t
 he manifold - the reach plays a crucial role. I will give a new method of 
 estimating the reach of a submanifold\, developed jointly with Clément Be
 renfeld\, Marc Hoffmann and Krishnan Shankar. This results in improved con
 vergence rates\, but a minimax optimal estimator remains to be found.\n
LOCATION:https://researchseminars.org/talk/IrishGeomSeminar/11/
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