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SUMMARY:MAP estimators and posterior consistency for Bayesian inverse prob
 lems with exponential priors - Masoumeh Dashti\, University of Sussex
DTSTART:20190524T150000Z
DTEND:20190524T160000Z
UID:TALK115942@talks.cam.ac.uk
CONTACT:Dr Sergio Bacallado
DESCRIPTION:We consider the problem of recovering an unknown function from
  noisy and indirect observations. We adopt a Bayesian approach and conside
 r a class of product exponential priors with tails between Gaussian and La
 place. We discuss some results on characterisation of the modes of the pos
 terior measure which lead to some weak consistency results. We then show a
  contraction theory for the posterior measure.\n\nThis is based on joint w
 orks with S. Agapiou\, M. Burger and T. Helin.
LOCATION:MR12
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