{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T16:56:26Z","timestamp":1767372986008,"version":"3.40.5"},"reference-count":49,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","award":["R01EB024532"],"award-info":[{"award-number":["R01EB024532"]}],"id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Imaging Sci."],"published-print":{"date-parts":[[2024,3,31]]},"DOI":"10.1137\/23m1546129","type":"journal-article","created":{"date-parts":[[2024,2,7]],"date-time":"2024-02-07T09:57:48Z","timestamp":1707299868000},"page":"301-333","source":"Crossref","is-referenced-by-count":10,"title":["Posterior-Variance\u2013Based Error Quantification for Inverse Problems in Imaging"],"prefix":"10.1137","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9293-4112","authenticated-orcid":true,"given":"Dominik","family":"Narnhofer","sequence":"first","affiliation":[{"name":"Institute for Computer Graphics and Vision, Graz University of Technology, Graz 8010, Austria."}]},{"given":"Andreas","family":"Habring","sequence":"additional","affiliation":[{"name":"Institute of Mathematics and Scientific Computing, University of Graz, Graz A-8010, Austria."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2895-2375","authenticated-orcid":true,"given":"Martin","family":"Holler","sequence":"additional","affiliation":[{"name":"Institute of Mathematics and Scientific Computing, University of Graz, Graz A-8010, Austria."}]},{"given":"Thomas","family":"Pock","sequence":"additional","affiliation":[{"name":"Institute for Computer Graphics and Vision, Graz University of Technology, Graz 8010, Austria."}]}],"member":"351","published-online":{"date-parts":[[2024,2,7]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2021.05.008"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2018.2865356"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1145\/3478535"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6420\/ab8f80"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s002110050258"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-010-0251-1"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1017\/S096249291600009X"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2014.2299065"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20042"},{"key":"ref17","first-page":"2666","volume":"20","author":"Durmus A.","year":"2019","journal-title":"J. Mach. Learn. Res."},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.3150\/18-BEJ1073"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1137\/16M1108340"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/21M140225X"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/21M1414978"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.26977"},{"volume-title":"Convergence analysis of primal-dual algorithms for total variation image restoration","year":"2010","author":"He B.","key":"ref24"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/21M1406313"},{"key":"ref26","volume":"21","author":"Jain V.","year":"2008","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref27","first-page":"5580","volume":"30","author":"Kendall A.","year":"2017","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref28","series-title":"Stoch. Model. Appl. Probab.","volume-title":"Numerical Solution of Stochastic Differential Equations","author":"Kloeden P.","year":"2013"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1148\/ryai.2020190007"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2021.3124086"},{"key":"ref33","first-page":"367","volume":"8","author":"Lamberton D.","year":"2002","journal-title":"Bernoulli"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1142\/S0219493703000838"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1137\/21M1406349"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1093\/oso\/9780198522195.001.0001"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2017.1307116"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s10472-013-9366-6"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2012.751873"},{"key":"ref41","first-page":"530","volume":"146","author":"Lemons D. S.","year":"1908","journal-title":"C. R. Acad. Sci. (Paris)"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1214\/21-EJS1910"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2021.3112040"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1117\/12.2527753"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1007\/s11222-015-9567-4"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1137\/18M1173629"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3071-5"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.2307\/3318418"},{"key":"ref54","volume-title":"Convex Analysis","volume":"11","author":"Rockafellar R. T.","year":"1997"},{"key":"ref55","volume":"32","author":"Romano Y.","year":"2019","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-008-0197-6"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2017.1395341"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1109\/78.923297"},{"key":"ref61","volume":"9","author":"Shafer G.","year":"2008","journal-title":"J. Mach. Learn. Res."},{"key":"ref62","volume":"32","author":"Song Y.","year":"2019","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2007.70844"},{"key":"ref65","volume":"32","author":"Tibshirani R. J.","year":"2019","journal-title":"Adv. Neural Inf. Process. Syst."},{"volume-title":"Algorithmic Learning in a Random World","year":"2005","author":"Vovk V.","key":"ref66"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.1962.10490022"}],"container-title":["SIAM Journal on Imaging Sciences"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,3,29]],"date-time":"2024-03-29T23:02:03Z","timestamp":1711753323000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/23M1546129"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2,7]]},"references-count":49,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,3,31]]}},"alternative-id":["10.1137\/23M1546129"],"URL":"https:\/\/doi.org\/10.1137\/23m1546129","relation":{},"ISSN":["1936-4954"],"issn-type":[{"type":"electronic","value":"1936-4954"}],"subject":[],"published":{"date-parts":[[2024,2,7]]}}}