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SUMMARY:Kamal Diki (Chapman University)
DTSTART:20210917T220000Z
DTEND:20210917T230000Z
DTSTAMP:20260404T151817Z
UID:ags/8
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/ags/8
 /">An approach to the Gaussian RBF kernels via Fock spaces</a>\nby Kamal D
 iki (Chapman University) as part of Analysis and Geometry Seminar\n\n\nAbs
 tract\nIn this talk we use methods from the Fock spaces theory in order to
  prove several results on the Gaussian RBF kernels in the complex case. Th
 e latter is one of the most used kernels in modern machine learning kernel
  methods\, and support vector machines (SVMs) classification algorithms. I
 t turns out that complex analysis techniques allow us to consider several 
 notions linked to the RBF kernels like the feature space and the feature m
 ap\, using the so-called Segal-Bargmann transform. We show also that the R
 BF kernels can be related to some important operators in quantum mechanics
  and time frequency analysis\, specifically\, we prove different connectio
 ns of such kernels with creation\, annihilation\, Fourier\, translation\, 
 modulation and Weyl operators. A semi-group property will be proved in the
  case of Weyl operators. This is a joint work with Daniel Alpay\, Fabrizio
  Colombo and Irene Sabadini.\n
LOCATION:https://stable.researchseminars.org/talk/ags/8/
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