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SUMMARY:Nonlinear Eigenanalysis of sparsity-promoting regularisation opera
 tors - Martin Benning (University of Cambridge)
DTSTART:20171031T120000Z
DTEND:20171031T125000Z
UID:TALK94114@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this talk we analyse Eigenfunctions of nonlinear\, variatio
 nal regularisation operators. We show that they are closely related to a g
 eneralisation of singular vectors of compact operators\, and demonstrate k
 ey mathematical properties. We use them to show how a systematic bias of v
 ariational regularisation methods can be corrected with the help of iterat
 ive regularisation methods\, and discuss conditions that guarantee the dec
 omposition of an additive composition of multiple Eigenfunctions. In the l
 ast part of the talk\, we focus on utilising the concept of nonlinear Eige
 nanalysis to learn parametrised regularisations that can effectively separ
 ate different geometric structures. This is joint work with Joana Sarah Gr
 ah\, Guy Gilboa\, Carola-Bibiane Sch&ouml\;nlieb\, Marie Foged Schmidt and
  Martin Burger.
LOCATION:Seminar Room 1\, Newton Institute
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