{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T14:23:23Z","timestamp":1776867803062,"version":"3.51.2"},"reference-count":64,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"name":"Cantab Capital Institute for the Mathematics of Information"},{"DOI":"10.13039\/100010661","name":"Horizon 2020 Framework Programme","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100010661","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004815","name":"Isaac Newton Trust","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004815","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000275","name":"Leverhulme Trust","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000275","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/K009745\/1"],"award-info":[{"award-number":["EP\/K009745\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/M00483X\/1"],"award-info":[{"award-number":["EP\/M00483X\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/N014588\/1"],"award-info":[{"award-number":["EP\/N014588\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Imaging Sci."],"published-print":{"date-parts":[[2021,1]]},"DOI":"10.1137\/20m1357500","type":"journal-article","created":{"date-parts":[[2021,6,22]],"date-time":"2021-06-22T16:10:30Z","timestamp":1624378230000},"page":"814-843","source":"Crossref","is-referenced-by-count":10,"title":["Choose Your Path Wisely: Gradient Descent in a Bregman Distance Framework"],"prefix":"10.1137","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6203-1350","authenticated-orcid":true,"given":"Martin","family":"Benning","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3818-2121","authenticated-orcid":true,"given":"Marta M.","family":"Betcke","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8523-353X","authenticated-orcid":true,"given":"Matthias J.","family":"Ehrhardt","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Carola-Bibiane","family":"Sch\u00f6nlieb","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","published-online":{"date-parts":[[2021,6,22]]},"reference":[{"key":"atypb1","first-page":"2008","author":"Aizenbud A.","year":"2008","journal-title":"Int. Math. Res. Not. IMRN"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-007-0133-5"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1100.0449"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-011-0484-9"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/25\/10\/105004"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1287\/moor.2016.0817"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1142\/S0219199701000524"},{"key":"atypb9","first-page":"2618","author":"Becker S.","year":"2012","journal-title":"Advances in Neural Information Processing Systems"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmr.2013.10.003"},{"key":"atypb12","first-page":"117","author":"Benning M.","year":"2015","journal-title":"New York"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.1976.1101194"},{"key":"atypb14","first-page":"85","author":"Bertsekas D. P.","year":"2011","journal-title":"MA"},{"key":"atypb15","first-page":"1673","author":"Bolte J.","year":"2010","journal-title":"Proceedings of the IEEE International Conference on Image Processing"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0701-9"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1137\/15M1019325"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(67)90040-7"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2006.v4.n1.a7"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-2012-02599-3"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1007\/s00607-007-0245-z"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-09-02242-X"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-08-02189-3"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1007\/BF00940051"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1017\/S096249291600009X"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1109\/83.661187"},{"key":"atypb32","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-016-0405-9"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1287\/moor.18.1.202"},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.1137\/09076934X"},{"key":"atypb38","doi-asserted-by":"publisher","DOI":"10.1216\/JIE-2010-22-2-217"},{"key":"atypb39","first-page":"299","author":"Gabay D.","year":"1983","journal-title":"Amsterdam"},{"key":"atypb41","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1964-11178-2"},{"key":"atypb43","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-012-9592-9"},{"key":"atypb44","first-page":"315","volume":"1","author":"Johnson R.","year":"2013","journal-title":"Proceedings of NIPS"},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/25\/6\/065003"},{"key":"atypb46","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012995281742"},{"key":"atypb48","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.22964"},{"key":"atypb49","doi-asserted-by":"publisher","DOI":"10.1109\/79.489268"},{"key":"atypb50","doi-asserted-by":"publisher","DOI":"10.5802\/aif.1638"},{"key":"atypb52","doi-asserted-by":"publisher","DOI":"10.1137\/140998135"},{"key":"atypb53","first-page":"4035","author":"Liang J.","year":"2016","journal-title":"Advances in Neural Information Processing Systems"},{"key":"atypb54","doi-asserted-by":"publisher","DOI":"10.1137\/0716071"},{"key":"atypb55","first-page":"87","volume":"117","author":"Lojasiewicz S.","year":"1963","journal-title":"\u00c9quations D\u00e9riv\u00e9es Partielles"},{"key":"atypb57","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2015.2479469"},{"key":"atypb58","first-page":"238","volume":"225","author":"Moreau J.-J.","year":"1962","journal-title":"C. R. Acad. Sci. Paris"},{"key":"atypb59","doi-asserted-by":"publisher","DOI":"10.24033\/bsmf.1625"},{"key":"atypb61","doi-asserted-by":"publisher","DOI":"10.1137\/17M1142624"},{"key":"atypb63","doi-asserted-by":"publisher","DOI":"10.1137\/130942954"},{"key":"atypb65","doi-asserted-by":"publisher","DOI":"10.1137\/040605412"},{"key":"atypb66","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2016.01.002"},{"key":"atypb67","first-page":"1133","author":"Pock T.","year":"2009","journal-title":"IEEE"},{"key":"atypb68","doi-asserted-by":"publisher","DOI":"10.1137\/16M1064064"},{"key":"atypb69","doi-asserted-by":"publisher","DOI":"10.1088\/1742-6596\/756\/1\/012001"},{"key":"atypb70","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1522-2594(199911)42:5<952::AID-MRM16>3.0.CO;2-S"},{"key":"atypb71","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2010.2093536"},{"key":"atypb72","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2014.2362861"},{"key":"atypb75","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/22\/1\/017"},{"key":"atypb76","doi-asserted-by":"publisher","DOI":"10.1287\/moor.17.3.670"},{"key":"atypb77","doi-asserted-by":"publisher","DOI":"10.1002\/mrm.21691"},{"key":"atypb78","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/30\/5\/055012"},{"key":"atypb79","first-page":"2816","author":"Wang H.","year":"2014","journal-title":"Advances in Neural Information Processing Systems"},{"key":"atypb80","doi-asserted-by":"publisher","DOI":"10.1137\/120887795"},{"key":"atypb81","first-page":"1","author":"Xu Y.","year":"2017","journal-title":"J. Sci. Comput., ("},{"key":"atypb82","doi-asserted-by":"publisher","DOI":"10.1137\/090760350"},{"key":"atypb83","doi-asserted-by":"publisher","DOI":"10.1137\/070703983"},{"key":"atypb84","first-page":"34","author":"Zhu M.","year":"2008","journal-title":"UCLA CAM Report"}],"container-title":["SIAM Journal on Imaging Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/20M1357500","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,2]],"date-time":"2021-07-02T15:52:33Z","timestamp":1625241153000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/20M1357500"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":64,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1137\/20M1357500"],"URL":"https:\/\/doi.org\/10.1137\/20m1357500","relation":{},"ISSN":["1936-4954"],"issn-type":[{"value":"1936-4954","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]}}}