{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T09:15:03Z","timestamp":1775898903352,"version":"3.50.1"},"reference-count":37,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","award":["OC 150\/1-1"],"award-info":[{"award-number":["OC 150\/1-1"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010663","name":"H2020 European Research Council","doi-asserted-by":"publisher","award":["640156"],"award-info":[{"award-number":["640156"]}],"id":[{"id":"10.13039\/100010663","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Journal on Mathematics of Data Science"],"published-print":{"date-parts":[[2020,1]]},"DOI":"10.1137\/19m1298007","type":"journal-article","created":{"date-parts":[[2020,8,6]],"date-time":"2020-08-06T16:16:11Z","timestamp":1596730571000},"page":"658-682","source":"Crossref","is-referenced-by-count":41,"title":["Convex-Concave Backtracking for Inertial Bregman Proximal Gradient Algorithms in Nonconvex Optimization"],"prefix":"10.1137","volume":"2","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8107-4586","authenticated-orcid":true,"given":"Mahesh Chandra","family":"Mukkamala","sequence":"first","affiliation":[]},{"given":"Peter","family":"Ochs","sequence":"additional","affiliation":[]},{"given":"Thomas","family":"Pock","sequence":"additional","affiliation":[]},{"given":"Shoham","family":"Sabach","sequence":"additional","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2020,8,6]]},"reference":[{"key":"atypb1","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/s10107-007-0133-5","volume":"116","author":"Attouch H.","year":"2009","journal-title":"Math. Program."},{"key":"atypb2","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1287\/moor.1100.0449","volume":"35","author":"Attouch H.","year":"2010","journal-title":"Math. Oper. Res."},{"key":"atypb3","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1007\/s10107-011-0484-9","volume":"137","author":"Attouch H.","year":"2013","journal-title":"Math. Program."},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623403427823"},{"key":"atypb5","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1287\/moor.2016.0817","volume":"42","author":"Bauschke H. H.","year":"2017","journal-title":"Math. Oper. Res."},{"key":"atypb6","first-page":"27","volume":"4","author":"Bauschke H. H.","year":"1997","journal-title":"J. Convex Anal."},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/050644641"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1137\/060670080"},{"key":"atypb10","doi-asserted-by":"crossref","first-page":"3319","DOI":"10.1090\/S0002-9947-09-05048-X","volume":"362","author":"Bolte J.","year":"2010","journal-title":"Trans. Amer. Math. Soc."},{"key":"atypb11","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1007\/s10107-013-0701-9","volume":"146","author":"Bolte J.","year":"2014","journal-title":"Math. Program."},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1137\/17M1138558"},{"key":"atypb13","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s13675-015-0045-8","volume":"4","author":"Bo\u0162 R. I.","year":"2016","journal-title":"EURO J. Comput. Optim."},{"key":"atypb14","first-page":"200","volume":"7","author":"Bregman L. M.","year":"1967","journal-title":"Fiz."},{"key":"atypb15","doi-asserted-by":"crossref","first-page":"1985","DOI":"10.1109\/TIT.2015.2399924","volume":"61","author":"Candes E. J.","year":"2015","journal-title":"IEEE Trans. Inform. Theory"},{"key":"atypb16","doi-asserted-by":"crossref","first-page":"877","DOI":"10.1007\/s00041-008-9045-x","volume":"14","author":"Candes E. J.","year":"2008","journal-title":"J. Fourier Anal. Appl."},{"key":"atypb17","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1007\/BF00934676","volume":"34","author":"Censor Y.","year":"1981","journal-title":"J. Optim. Theory Appl."},{"key":"atypb18","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1007\/BF00940051","volume":"73","author":"Censor Y.","year":"1992","journal-title":"J. Optim. Theory Appl."},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1137\/17M1120439"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1137\/0803026"},{"key":"atypb22","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1287\/moor.18.1.202","volume":"18","author":"Eckstein J.","year":"1993","journal-title":"Math. Oper. Res."},{"key":"atypb24","first-page":"37","volume":"28","author":"Gong P.","year":"2013","journal-title":"PMLR"},{"key":"atypb26","doi-asserted-by":"crossref","first-page":"769","DOI":"10.5802\/aif.1638","volume":"48","author":"Kurdyka K.","year":"1998","journal-title":"Ann. Inst. Fourier (Grenoble)"},{"key":"atypb27","first-page":"87","author":"S","year":"1963","journal-title":"Paris"},{"key":"atypb29","doi-asserted-by":"crossref","first-page":"273","DOI":"10.24033\/bsmf.1625","volume":"93","author":"Moreau J. J.","year":"1965","journal-title":"Bull. Soc. Math. France"},{"key":"atypb32","first-page":"543","volume":"269","author":"Nesterov Y. E.","year":"1983","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1137\/040619582"},{"key":"atypb35","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/s10957-018-1272-y","volume":"177","author":"Ochs P.","year":"2018","journal-title":"J. Optim. Theory Appl."},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1137\/17M1124085"},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.1137\/130942954"},{"key":"atypb38","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1007\/s10957-018-01452-0","volume":"181","author":"Ochs P.","year":"2019","journal-title":"J. Optim. Theory Appl."},{"key":"atypb39","doi-asserted-by":"publisher","DOI":"10.1137\/16M1064064"},{"key":"atypb40","first-page":"791","volume":"4","author":"Polyak B. T.","year":"1964","journal-title":"Fiz."},{"key":"atypb43","doi-asserted-by":"crossref","first-page":"670","DOI":"10.1287\/moor.17.3.670","volume":"17","author":"Teboulle M.","year":"1992","journal-title":"Math. Oper. Res."},{"key":"atypb44","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/s10107-018-1284-2","volume":"170","author":"Teboulle M.","year":"2018","journal-title":"Math. Program."},{"key":"atypb45","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1109\/TIT.2017.2756858","volume":"64","author":"Wang G.","year":"2018","journal-title":"IEEE Trans. Inform. Theory"},{"key":"atypb46","doi-asserted-by":"publisher","DOI":"10.1137\/16M1055323"}],"container-title":["SIAM Journal on Mathematics of Data Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/19M1298007","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,30]],"date-time":"2020-09-30T19:23:56Z","timestamp":1601493836000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/19M1298007"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1]]},"references-count":37,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,1]]}},"alternative-id":["10.1137\/19M1298007"],"URL":"https:\/\/doi.org\/10.1137\/19m1298007","relation":{},"ISSN":["2577-0187"],"issn-type":[{"value":"2577-0187","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,1]]}}}