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SUMMARY:Vincent Duval (Inria\, FR)
DTSTART:20200608T130000Z
DTEND:20200608T134500Z
DTSTAMP:20260423T024508Z
UID:OWMADS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWMADS/5/">R
 epresenting the solutions of total variation regularized problems</a>\nby 
 Vincent Duval (Inria\, FR) as part of One World seminar: Mathematical Meth
 ods for Arbitrary Data Sources (MADS)\n\n\nAbstract\nRepresenting the solu
 tions of total variation regularized problems\n\nThe total (gradient) vari
 ation is a regularizer which has been widely used in inverse problems aris
 ing in image processing\, following the pioneering work of Rudin\, Osher a
 nd Fatemi. In this talk\, I will describe the structure the solutions to t
 he total variation regularized variational problems when one has a finite 
 number of measurements.\nFirst\, I will present a general representation p
 rinciple for the solutions of convex problems\, then I will apply it to th
 e total variation by describing the faces of its unit ball.\n\nIt is a joi
 nt work with Claire Boyer\, Antonin Chambolle\, Yohann De Castro\, Frédé
 ric de Gournay and Pierre Weiss.\n
LOCATION:https://researchseminars.org/talk/OWMADS/5/
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