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SUMMARY:Statistical aspects of the non-abelian X-ray transform - Gabriel P
 aternain (University of Cambridge)
DTSTART:20230518T080000Z
DTEND:20230518T090000Z
UID:TALK198121@talks.cam.ac.uk
DESCRIPTION:I will discuss some recent developments providing theoretical 
 guarantees for Bayesian inversion with Gaussian priors for a class of nonl
 inear inverse problems.These developments will be illustrated in a specifi
 c inverse problem: the non-abelian X-ray transform.This problem underpins 
 new experiments designed to measure magnetic fields inside materials by sh
 ooting them with neutron beams from different directions\, like in a CT sc
 an.The theoretical guarantees will be of two types: first I will discuss c
 onsistency and then uncertainty quantification.\nThis is based on joint wo
 rk with F. Monard and R. Nickl
LOCATION:Seminar Room 1\, Newton Institute
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