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SUMMARY:Discrete gradient methods for solving nonconvex\, nonsmooth optimi
 sation problems in image analysis - Erlend Skaldehaug Riis (University of 
 Cambridge)
DTSTART:20171122T160000Z
DTEND:20171122T170000Z
UID:TALK94174@talks.cam.ac.uk
CONTACT:Kasia Wyczesany
DESCRIPTION:We will give an introduction to the discrete gradient method\,
  which is a novel optimisation technique for solving convex and nonconvex 
 variational problems in image processing. Using discretisation tools from 
 geometric numerical integration\, these methods are designed to preserve t
 he dissipation of gradient flow systems in a uniformly stable manner. In t
 his talk\, we will discuss how discrete gradient methods connects to\, and
  compares to\, other methods in gradient-based\, as well as derivative-fre
 e\, optimisation. Particular emphasis will be on nonsmooth\, nonconvex opt
 imisation analysis\, using the Clarke subdifferential. We will also motiva
 te the results with examples from image analysis.
LOCATION:MR14\, Centre for Mathematical Sciences
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