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dc.contributor.authorBungert, Leon
dc.contributor.authormartin.burger@fau.de
dc.contributor.authorBurger, Martin
dc.contributor.authorKorolev, Yury
dc.contributor.authorSchönlieb, Carola-Bibiane
dc.date.accessioned2020-12-03T14:11:51Z
dc.date.available2020-12-03T14:11:51Z
dc.date.issued2020-11-30
dc.date.submitted2020-06-12
dc.identifier.issn0266-5611
dc.identifier.otheripabc531
dc.identifier.otherabc531
dc.identifier.otherip-102748.r2
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/314240
dc.descriptionFunder: Cantab Capital Institute for the Mathematics of Information
dc.descriptionFunder: National Physical Laboratory; doi: https://doi.org/10.13039/501100007851
dc.descriptionFunder: Alan Turing Institute; doi: https://doi.org/10.13039/100012338
dc.description.abstractAbstract: We study variational regularisation methods for inverse problems with imperfect forward operators whose errors can be modelled by order intervals in a partial order of a Banach lattice. We carry out analysis with respect to existence and convex duality for general data fidelity terms and regularisation functionals. Both for a priori and a posteriori parameter choice rules, we obtain convergence rates of the regularised solutions in terms of Bregman distances. Our results apply to fidelity terms such as Wasserstein distances, φ-divergences, norms, as well as sums and infimal convolutions of those.
dc.languageen
dc.publisherIOP Publishing
dc.subjectPaper
dc.subjectimperfect forward models
dc.subjectf-divergences
dc.subjectKullback–Leibler divergence
dc.subjectWasserstein distances
dc.subjectBregman distances
dc.subjectdiscrepancy principle
dc.subjectBanach lattices
dc.titleVariational regularisation for inverse problems with imperfect forward operators and general noise models
dc.typeArticle
dc.date.updated2020-12-03T14:11:50Z
prism.issueIdentifier12
prism.publicationNameInverse Problems
prism.volume36
dc.identifier.doi10.17863/CAM.61343
dcterms.dateAccepted2020-10-27
rioxxterms.versionofrecord10.1088/1361-6420/abc531
rioxxterms.versionVoR
rioxxterms.licenseref.urihttps://creativecommons.org/licenses/by/4.0/
dc.contributor.orcidBungert, Leon [0000-0002-6554-9892]
dc.contributor.orcidBurger, Martin [0000-0003-2619-2912]
dc.contributor.orcidKorolev, Yury [0000-0002-6339-652X]
dc.identifier.eissn1361-6420
pubs.funder-project-idBundesministerium für Bildung und Forschung (05M16PMB (MED4D))
pubs.funder-project-idH2020 Marie Skłodowska-Curie Actions (691070 CHiPS 777826 (NoMADS))
pubs.funder-project-idEngineering and Physical Sciences Research Council (EP/N014588/1 EP/S026045/1 EP/T003553/1 EP/V003615/1)
pubs.funder-project-idLeverhulme Trust (Breaking the non-convexity barrier Philip Leverhulme Prize)
pubs.funder-project-idWellcome Trust (Wellcome Innovator Award RG98755)
pubs.funder-project-idRoyal Society (NF170045)


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