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SUMMARY:Representer theorems and convex optimization - Claire Boyer (Sorbo
 nne Université\; ENS - Paris)
DTSTART:20190617T144000Z
DTEND:20190617T153000Z
UID:TALK126088@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We establish a general principle which states that regularizin
 g an inverse problem with a convex function yields solutions which are con
 vex combinations of a small number of atoms. These atoms are identified wi
 th the extreme points and elements of the extreme rays of the regularizer 
 level sets. As a side result\, we characterize the minimizers of the total
  gradient variation. As an ongoing work\, we will also study the geometry 
 of the total gradient variation ball.<br> This is a joint work with Antoni
 n Chambolle\, Yohann De Castro\, Vincent Duval\, Fr&eacute\;d&eacute\;ric 
 de Gournay\, and Pierre Weiss.
LOCATION:Seminar Room 1\, Newton Institute
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