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SUMMARY:Bregman distances in frequentist inverse problems - Tapio Helin\, 
 University of Helsinki
DTSTART:20180131T140000Z
DTEND:20180131T150000Z
UID:TALK100342@talks.cam.ac.uk
CONTACT:Rachel Furner
DESCRIPTION:We consider variational regularisation methods for inverse pro
 blems with Gaussian random white noise. We derive frequentist consistency 
 results for linear inverse problems with p-homogeneous regularisation func
 tionals in terms of the expectation of a symmetric Bregman distance. A key
  observation\, which guides us through the analysis\, is that the random n
 oise can be analysed with techniques from regularisation literature relati
 ng to approximate source conditions. This is joint work with Martin Burger
  and Hanne Kekkonen. 
LOCATION:MR3 Centre for Mathematical Sciences
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