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SUMMARY:Ground States and Singular Vectors of Convex Variational Regulariz
 ation Methods - Martin Benning\, University of Cambridge
DTSTART:20130213T160000Z
DTEND:20130213T170000Z
UID:TALK42636@talks.cam.ac.uk
CONTACT:Luca Calatroni
DESCRIPTION:Singular value decomposition is the key tool in the analysis a
 nd understanding\nof linear regularization methods. In the last decade non
 linear variational\napproaches such as $\\ell^1$ or total variation regula
 rizations became quite\nprominent regularization techniques with certain p
 roperties being superior to\nstandard methods. In the analysis of those\, 
 singular values and vectors did not\nplay any role so far\, for the obviou
 s reason that these problems are nonlinear\,\ntogether with the issue of d
 efining singular values and singular vectors. In\nthis talk we want to sta
 rt a study of singular values and vectors for nonlinear\nvariational regul
 arization of linear inverse problems\, with particular focus on\nsingular 
 one-homogeneous regularization functionals.
LOCATION:MR14\, Centre for Mathematical Sciences
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