{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,18]],"date-time":"2026-07-18T15:40:17Z","timestamp":1784389217521,"version":"3.55.0"},"reference-count":136,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"name":"CMM-ANID","award":["AFB170001"],"award-info":[{"award-number":["AFB170001"]}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["L17565"],"award-info":[{"award-number":["L17565"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2023,5]]},"DOI":"10.1137\/20m1379344","type":"journal-article","created":{"date-parts":[[2023,5,8]],"date-time":"2023-05-08T14:05:24Z","timestamp":1683554724000},"page":"375-435","source":"Crossref","is-referenced-by-count":75,"title":["Proximal Splitting Algorithms for Convex Optimization: A Tour of Recent Advances, with New Twists"],"prefix":"10.1137","volume":"65","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7087-1002","authenticated-orcid":true,"given":"Laurent","family":"Condat","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daichi","family":"Kitahara","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Andr\u00e9s","family":"Contreras","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Akira","family":"Hirabayashi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,5,9]]},"reference":[{"key":"atypb1","first-page":"2345","volume":"19","author":"Afonso M. V.","year":"2010","journal-title":"IEEE Trans. Signal Process."},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2076294"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-022-00631-6"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1561\/2200000015"},{"key":"atypb5","first-page":"383","volume":"4","author":"Bauschke H. H.","year":"2008","journal-title":"Pacific J. Optim."},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9467-7"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-48311-5"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611974997"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-1124-0_3"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1137\/140965028"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-017-1112-5"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-022-01237-w"},{"key":"atypb16","first-page":"123","volume":"64","author":"L.","year":"2015","journal-title":"Optimization"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1137\/10081602X"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1137\/17M1120099"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1561\/2200000050"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1137\/19M1308451"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2020.124315"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1137\/080733371"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1137\/090753504"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2014.2329397"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-015-0746-4"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1137\/17M1134834"},{"key":"atypb27","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-010-0251-1"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.5802\/smai-jcm.3"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1017\/S096249291600009X"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-015-0957-3"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/23\/4\/008"},{"key":"atypb32","unstructured":"H.G. Chen,Forward-Backward Splitting Techniques: Theory and Applications, Ph.D. thesis, University of Washington, Seattle, WA, 1994."},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/29\/2\/025011"},{"key":"atypb34","doi-asserted-by":"publisher","DOI":"10.1186\/s13663-016-0543-2"},{"key":"atypb35","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-012-9519-2"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1080\/02331930412331327157"},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.1109\/5.214546"},{"key":"atypb38","first-page":"727","volume":"16","author":"Combettes P. L.","year":"2009","journal-title":"J. Convex Anal."},{"key":"atypb39","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-1303-3"},{"key":"atypb40","doi-asserted-by":"publisher","DOI":"10.1109\/ICIP.2014.7025841"},{"key":"atypb41","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-9569-8_10"},{"key":"atypb42","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-011-0191-y"},{"key":"atypb43","doi-asserted-by":"publisher","DOI":"10.1137\/140971233"},{"key":"atypb44","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2021.3069677"},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.1080\/02331934.2012.733883"},{"key":"atypb46","doi-asserted-by":"publisher","DOI":"10.1137\/050626090"},{"key":"atypb47","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2013.2278339"},{"key":"atypb48","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-012-0245-9"},{"key":"atypb49","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-015-0946-6"},{"key":"atypb50","doi-asserted-by":"publisher","DOI":"10.1137\/16M1075247"},{"key":"atypb51","doi-asserted-by":"publisher","DOI":"10.3389\/frsip.2021.776825"},{"key":"atypb52","volume-title":"Habilitation thesis","author":"Csetnek E. R.","year":"2016"},{"key":"atypb53","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-41589-5_4"},{"key":"atypb54","doi-asserted-by":"publisher","DOI":"10.1007\/s11228-017-0421-z"},{"key":"atypb55","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-015-0048-x"},{"key":"atypb56","doi-asserted-by":"publisher","DOI":"10.1016\/j.orl.2015.02.001"},{"key":"atypb57","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0653-0"},{"key":"atypb58","unstructured":"J. Eckstein,Splitting Methods for Monotone Operators with Applications to Parallel Optimization, Ph.D. thesis, MIT, Cambridge, MA, 1989."},{"key":"atypb59","doi-asserted-by":"publisher","DOI":"10.1007\/BF01581204"},{"key":"atypb60","volume-title":"RUTCOR Research Report","author":"Eckstein J.","year":"2012"},{"key":"atypb61","first-page":"619","volume":"11","author":"Eckstein J.","year":"2015","journal-title":"Pacific J. Optim."},{"key":"atypb62","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2782789"},{"key":"atypb63","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-7011-4"},{"key":"atypb64","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-30265-2"},{"key":"atypb65","doi-asserted-by":"publisher","DOI":"10.1137\/09076934X"},{"key":"atypb66","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2053941"},{"key":"atypb67","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-2024(08)70034-1"},{"key":"atypb68","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(76)90003-1"},{"key":"atypb69","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/27\/2\/025010"},{"key":"atypb70","doi-asserted-by":"publisher","DOI":"10.1137\/20M1345062"},{"key":"atypb71","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12613-4"},{"key":"atypb72","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-9054-3_4"},{"key":"atypb73","first-page":"41","volume":"9","author":"Glowinski R.","year":"1975","journal-title":"Rev. Fran\u00e7aise Automat. Informat. Recherche Op\u00e9rationnelle"},{"key":"atypb74","volume-title":"Imaging, Science, and Engineering","author":"Glowinski R.","year":"2016"},{"key":"atypb75","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-41589-5_2"},{"key":"atypb76","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970838"},{"key":"atypb77","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-009-9331-z"},{"key":"atypb78","doi-asserted-by":"publisher","DOI":"10.1137\/080725891"},{"key":"atypb79","first-page":"680","volume-title":"Proceedings of the 37th International Conference on Artificial Intelligence and Statistics (AISTATS), Proc. Mach. Learn. Res. 108","author":"Gorbunov E.","year":"2020"},{"key":"atypb80","doi-asserted-by":"publisher","DOI":"10.1137\/15M1044448"},{"key":"atypb81","doi-asserted-by":"publisher","DOI":"10.1137\/100814494"},{"key":"atypb82","doi-asserted-by":"publisher","DOI":"10.1561\/2200000083"},{"key":"atypb83","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-021-01643-0"},{"key":"atypb84","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2014.2377273"},{"key":"atypb85","volume-title":"NIPS Private Multi-Party Machine Learning Workshop","author":"Kone\u010dn\u00fd J.","year":"2016"},{"key":"atypb86","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-017-9909-6"},{"key":"atypb87","doi-asserted-by":"publisher","DOI":"10.1137\/0716071"},{"key":"atypb88","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-014-0523-2"},{"key":"atypb89","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/27\/12\/125007"},{"key":"atypb90","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-015-0150-0"},{"key":"atypb91","first-page":"6692","volume-title":"Proceedings of the 37th International Conference on Machine Learning (ICML), Proc. Mach. Learn. Res. 119","author":"Malinovsky G.","year":"2020"},{"key":"atypb92","doi-asserted-by":"publisher","DOI":"10.1137\/16M1092015"},{"key":"atypb93","doi-asserted-by":"publisher","DOI":"10.1137\/18M1207260"},{"key":"atypb94","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-00973-4"},{"key":"atypb95","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2019.2922156"},{"key":"atypb96","first-page":"2897","volume":"255","author":"Moreau J. J.","year":"1962","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. A Math."},{"key":"atypb97","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-1321-1"},{"key":"atypb98","doi-asserted-by":"publisher","DOI":"10.1081\/NFA-120003674"},{"key":"atypb99","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804458"},{"key":"atypb100","doi-asserted-by":"publisher","DOI":"10.1561\/2400000003"},{"key":"atypb101","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(79)90234-8"},{"key":"atypb102","first-page":"1","volume-title":"Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics (AISTATS), Proc. Mach. Learn. Res. 89","author":"Pedregosa F.","year":"2019"},{"key":"atypb103","first-page":"4085","volume-title":"Proceedings of the 35th International Conference on Machine Learning (ICML), Proc. Mach. Learn. Res. 80","author":"Pedregosa F.","year":"2018"},{"key":"atypb104","doi-asserted-by":"publisher","DOI":"10.1007\/BF02612715"},{"key":"atypb105","doi-asserted-by":"publisher","DOI":"10.1109\/ICCV.2011.6126441"},{"key":"atypb106","doi-asserted-by":"publisher","DOI":"10.1137\/18M118116X"},{"key":"atypb107","doi-asserted-by":"publisher","DOI":"10.1214\/15-STS530"},{"key":"atypb108","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2017.2752261"},{"key":"atypb109","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-018-1272-8"},{"key":"atypb110","doi-asserted-by":"publisher","DOI":"10.1137\/120872802"},{"key":"atypb111","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-012-0614-z"},{"key":"atypb112","doi-asserted-by":"publisher","DOI":"10.1287\/moor.1.2.97"},{"key":"atypb113","doi-asserted-by":"publisher","DOI":"10.1137\/0314056"},{"key":"atypb114","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(92)90242-F"},{"key":"atypb115","doi-asserted-by":"publisher","DOI":"10.1137\/19M1304854"},{"key":"atypb116","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-019-01403-1"},{"key":"atypb117","first-page":"3","volume":"1","author":"Ryu E. K.","year":"2016","journal-title":"Appl. Comput. Math."},{"key":"atypb118","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-019-01601-z"},{"key":"atypb119","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-022-02061-8"},{"key":"atypb120","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02256-2_39"},{"key":"atypb121","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-010-0357-3"},{"key":"atypb122","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/8996.001.0001"},{"key":"atypb123","volume-title":"Curvelets, Morphological Diversity","author":"Starck J.-L.","year":"2010"},{"key":"atypb124","doi-asserted-by":"publisher","DOI":"10.1561\/2600000008"},{"key":"atypb125","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-019-01535-6"},{"key":"atypb126","doi-asserted-by":"publisher","DOI":"10.1137\/100788100"},{"key":"atypb127","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-018-1284-2"},{"key":"atypb128","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1111\/j.2517-6161.1996.tb02080.x","volume":"58","author":"Tibshirani R.","year":"1996","journal-title":"J. Roy. Statist. Soc. Ser. B"},{"key":"atypb129","doi-asserted-by":"publisher","DOI":"10.1137\/0329006"},{"key":"atypb130","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012998338806"},{"key":"atypb131","doi-asserted-by":"publisher","DOI":"10.1007\/s10444-011-9254-8"},{"key":"atypb132","doi-asserted-by":"publisher","DOI":"10.1137\/090767558"},{"key":"atypb133","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-018-0680-3"},{"key":"atypb134","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-41589-5_5"},{"key":"atypb135","doi-asserted-by":"publisher","DOI":"10.1109\/9.633826"},{"key":"atypb136","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-010-9408-8"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,10,20]],"date-time":"2024-10-20T00:01:53Z","timestamp":1729382513000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/20M1379344"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5]]},"references-count":136,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,5]]}},"alternative-id":["10.1137\/20M1379344"],"URL":"https:\/\/doi.org\/10.1137\/20m1379344","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,5]]}}}