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SUMMARY:Least-squares with minimal oversampling - Matthieu Dolbeault (RWTH
  Aachen University)
DTSTART:20240718T103000Z
DTEND:20240718T111000Z
UID:TALK218179@talks.cam.ac.uk
DESCRIPTION:\n\n\nIn approximation of functions based on point values\, le
 ast-squares methods provide more stability than interpolation\, at the exp
 ense of increasing the sampling budget. We show that near-optimal approxim
 ation error can nevertheless be achieved\, in an expected L2 sense\, as so
 on as the sample size m is larger than the dimension n of the approximatio
 n space by a constant ratio. On the other hand\, for m = n\, we obtain an 
 interpolation strategy with a stability factor of order n.\nThis is joint 
 work with Abdellah Chkifa.\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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