{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T14:33:44Z","timestamp":1774535624680,"version":"3.50.1"},"reference-count":52,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12471286"],"award-info":[{"award-number":["12471286"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12001286"],"award-info":[{"award-number":["12001286"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004608","name":"Natural Science Foundation of Jiangsu Province","doi-asserted-by":"publisher","award":["BK20241899"],"award-info":[{"award-number":["BK20241899"]}],"id":[{"id":"10.13039\/501100004608","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000735","name":"University of Cambridge","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000735","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002920","name":"Research Grants Council, University Grants Committee","doi-asserted-by":"publisher","award":["14300219"],"award-info":[{"award-number":["14300219"]}],"id":[{"id":"10.13039\/501100002920","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002920","name":"Research Grants Council, University Grants Committee","doi-asserted-by":"publisher","award":["14302920"],"award-info":[{"award-number":["14302920"]}],"id":[{"id":"10.13039\/501100002920","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002920","name":"Research Grants Council, University Grants Committee","doi-asserted-by":"publisher","award":["14301121"],"award-info":[{"award-number":["14301121"]}],"id":[{"id":"10.13039\/501100002920","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["N CUHK 415\/19"],"award-info":[{"award-number":["N CUHK 415\/19"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010428","name":"Innovation and Technology Fund","doi-asserted-by":"publisher","award":["ITS\/173\/22FP"],"award-info":[{"award-number":["ITS\/173\/22FP"]}],"id":[{"id":"10.13039\/501100010428","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004853","name":"Chinese University of Hong Kong","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004853","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000288","name":"Royal Society","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000288","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/V029428\/1"],"award-info":[{"award-number":["EP\/V029428\/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\/S026045\/1"],"award-info":[{"award-number":["EP\/S026045\/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\/T003553\/1"],"award-info":[{"award-number":["EP\/T003553\/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"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/T017961\/1"],"award-info":[{"award-number":["EP\/T017961\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010269","name":"Wellcome Trust","doi-asserted-by":"publisher","award":["215733\/Z\/19\/Z"],"award-info":[{"award-number":["215733\/Z\/19\/Z"]}],"id":[{"id":"10.13039\/100010269","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010269","name":"Wellcome Trust","doi-asserted-by":"publisher","award":["221633\/Z\/20\/Z"],"award-info":[{"award-number":["221633\/Z\/20\/Z"]}],"id":[{"id":"10.13039\/100010269","id-type":"DOI","asserted-by":"publisher"}]},{"name":"CCMI"},{"name":"Philip Leverhulme Prize"},{"DOI":"10.13039\/100012338","name":"Alan Turing Institute","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100012338","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":[[2025,12,31]]},"DOI":"10.1137\/24m1682464","type":"journal-article","created":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T07:35:52Z","timestamp":1761118552000},"page":"1729-1754","source":"Crossref","is-referenced-by-count":2,"title":["Deep Block Proximal Linearized Minimization Algorithm for Nonconvex Inverse Problems"],"prefix":"10.1137","volume":"7","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9347-3151","authenticated-orcid":true,"given":"Chaoyan","family":"Huang","sequence":"first","affiliation":[{"name":"Department of Mathematics, The Chinese University of Hong Kong, Hong Kong."}]},{"given":"Zhongming","family":"Wu","sequence":"additional","affiliation":[{"name":"Co-first author. School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing, China."}]},{"given":"Yanqi","family":"Cheng","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics and Theoretical Physics, University of Cambridge."}]},{"given":"Tieyong","family":"Zeng","sequence":"additional","affiliation":[{"name":"Department of Mathematics, The Chinese University of Hong Kong, Hong Kong."}]},{"given":"Carola-Bibiane","family":"Sch\u00f6nlieb","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics and Theoretical Physics, University of Cambridge."}]},{"given":"Angelica I.","family":"Aviles-Rivero","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics and Theoretical Physics, University of Cambridge."}]}],"member":"351","published-online":{"date-parts":[[2025,10,22]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","first-page":"4311","DOI":"10.1109\/TSP.2006.881199","volume":"54","author":"Aharon M.","year":"2006","journal-title":"IEEE Trans. Signal Process."},{"key":"ref2","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1007\/s10957-021-01880-5","volume":"190","author":"Ahookhosh M.","year":"2021","journal-title":"J. Optim. Theory Appl."},{"key":"ref3","doi-asserted-by":"crossref","first-page":"681","DOI":"10.1007\/s10589-021-00286-3","volume":"79","author":"Ahookhosh M.","year":"2021","journal-title":"Comput. Optim. Appl."},{"key":"ref4","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":"ref5","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":"ref6","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/s10107-016-0992-8","volume":"168","author":"Attouch H.","year":"2018","journal-title":"Math. Program."},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/15M1046095"},{"key":"ref8","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":"ref9","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"ref10","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":"ref11","doi-asserted-by":"publisher","DOI":"10.1137\/17M1122451"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/j.acha.2007.10.002","volume":"24","author":"Cai J.-F.","year":"2008","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"ref13","first-page":"5977","volume":"22","author":"Castera C.","year":"2021","journal-title":"J. Mach. Learn. Res."},{"key":"ref14","first-page":"18152","volume":"34","author":"Cohen R.","year":"2021","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref15","doi-asserted-by":"crossref","first-page":"3736","DOI":"10.1109\/TIP.2006.881969","volume":"15","author":"Elad M.","year":"2006","journal-title":"IEEE Trans. Image Process."},{"key":"ref16","volume":"36","author":"Gan W.","year":"2023","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref17","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s10915-021-01504-0","volume":"87","author":"Hien L. T. K.","year":"2021","journal-title":"J. Sci. Comput."},{"key":"ref18","first-page":"1","volume":"24","author":"Hien L. T. K.","year":"2023","journal-title":"J. Mach. Learn. Res."},{"key":"ref19","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/s10107-016-1057-8","volume":"163","author":"Hong M.","year":"2017","journal-title":"Math. Program."},{"key":"ref20","doi-asserted-by":"crossref","first-page":"3769","DOI":"10.1109\/TMM.2021.3107162","volume":"24","author":"Huang C.","year":"2021","journal-title":"IEEE Trans. Multimedia"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"616","DOI":"10.1007\/s10851-024-01195-w","volume":"66","author":"Hurault S.","year":"2024","journal-title":"J. Math. Imaging Vis."},{"key":"ref23","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-8176-8134-0","volume-title":"A Primer of Real Analytic Functions","author":"Krantz S. G.","year":"2002"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1137\/16M1099546"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"8339","DOI":"10.1109\/TIP.2020.3014721","volume":"29","author":"M\u00e4kinen Y.","year":"2020","journal-title":"IEEE Trans. Image Process."},{"key":"ref28","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1007\/s10107-012-0629-5","volume":"140","author":"Nesterov Y.","year":"2013","journal-title":"Math. Program."},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1137\/17M1124085"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/130942954"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1561\/2400000003","volume":"1","author":"Parikh and N.","year":"2014","journal-title":"Found. Trends Optim."},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1137\/20M1387961"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1137\/16M1064064"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1007\/s10915-023-02397-x","volume":"98","author":"Qu Y.","year":"2024","journal-title":"J. Sci. Comput."},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1137\/120891009"},{"key":"ref37","volume":"27","author":"Razaviyayn M.","year":"2014","journal-title":"Adv. Neural Inf. Process. Syst."},{"key":"ref39","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1109\/TSP.2012.2226445","volume":"61","author":"Rubinstein R.","year":"2012","journal-title":"IEEE Trans. Signal Process."},{"key":"ref40","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"Rudin L. I.","year":"1992","journal-title":"Phys. D"},{"key":"ref42","doi-asserted-by":"crossref","first-page":"5944","DOI":"10.1109\/TIP.2021.3090531","volume":"30","author":"Scetbon M.","year":"2021","journal-title":"IEEE Trans. Image Process."},{"key":"ref43","doi-asserted-by":"crossref","first-page":"2809","DOI":"10.1007\/s11277-022-09490-8","volume":"124","author":"Sujithra M.","year":"2022","journal-title":"Wireless Personal Commun."},{"key":"ref44","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1109\/TCI.2019.2893568","volume":"5","author":"Sun Y.","year":"2019","journal-title":"IEEE Trans. Comput. Imaging"},{"key":"ref45","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1109\/TCI.2021.3094062","volume":"7","author":"Sun Y.","year":"2021","journal-title":"IEEE Trans. Comput. Imaging"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1137\/19M1271750"},{"key":"ref48","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1023\/A:1017501703105","volume":"109","author":"Tseng P.","year":"2001","journal-title":"J. Optim. Theory Appl."},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1137\/21M1434507"},{"key":"ref51","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1007\/s00186-024-00851-6","volume":"99","author":"Wang Q.","year":"2024","journal-title":"Math. Methods Oper. Res."},{"key":"ref52","first-page":"709","volume":"19","author":"Wu T.","year":"2022","journal-title":"Int. J. Numer. Anal. Model."},{"key":"ref53","doi-asserted-by":"crossref","first-page":"1635","DOI":"10.1109\/LSP.2020.3023299","volume":"27","author":"Wu T.","year":"2020","journal-title":"IEEE Signal Process. Lett."},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1137\/23M1611166"},{"key":"ref55","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/s10589-019-00073-1","volume":"73","author":"Wu Z.","year":"2019","journal-title":"Comput. Optim. Appl."},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1137\/120887795"},{"key":"ref58","doi-asserted-by":"crossref","first-page":"563","DOI":"10.3934\/ipi.2016012","volume":"10","author":"Xu Y.","year":"2016","journal-title":"Inverse Probl. Imaging"},{"key":"ref59","doi-asserted-by":"crossref","first-page":"700","DOI":"10.1007\/s10915-017-0376-0","volume":"72","author":"Xu Y.","year":"2017","journal-title":"J. Sci. Comput."},{"key":"ref61","doi-asserted-by":"crossref","first-page":"947","DOI":"10.1109\/TSP.2019.2959240","volume":"68","author":"Yang Y.","year":"2020","journal-title":"IEEE Trans. Signal Process."},{"key":"ref63","doi-asserted-by":"crossref","first-page":"6360","DOI":"10.1109\/TPAMI.2021.3088914","volume":"44","author":"Zhang K.","year":"2021","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."}],"container-title":["SIAM Journal on Mathematics of Data Science"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,10,22]],"date-time":"2025-10-22T07:35:58Z","timestamp":1761118558000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1682464"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,10,22]]},"references-count":52,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,12,31]]}},"alternative-id":["10.1137\/24M1682464"],"URL":"https:\/\/doi.org\/10.1137\/24m1682464","relation":{},"ISSN":["2577-0187"],"issn-type":[{"value":"2577-0187","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,10,22]]}}}