{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T18:07:45Z","timestamp":1776881265444,"version":"3.51.2"},"reference-count":44,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"NSF","award":["CCF-1813910"],"award-info":[{"award-number":["CCF-1813910"]}]},{"name":"Laboratory Directed Research and Development Program of Los Alamos National Laboratory","award":["20200061DR"],"award-info":[{"award-number":["20200061DR"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Signal Process. Lett."],"published-print":{"date-parts":[[2020]]},"DOI":"10.1109\/lsp.2020.3006390","type":"journal-article","created":{"date-parts":[[2020,7,1]],"date-time":"2020-07-01T20:53:51Z","timestamp":1593636831000},"page":"1280-1284","source":"Crossref","is-referenced-by-count":57,"title":["Provable Convergence of Plug-and-Play Priors With MMSE Denoisers"],"prefix":"10.1109","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5264-8963","authenticated-orcid":false,"given":"Xiaojian","family":"Xu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7225-9677","authenticated-orcid":false,"given":"Yu","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1042-4443","authenticated-orcid":false,"given":"Jiaming","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4767-1843","authenticated-orcid":false,"given":"Brendt","family":"Wohlberg","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6770-3278","authenticated-orcid":false,"given":"Ulugbek S.","family":"Kamilov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2011.6033942"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1111\/j.2517-6161.1996.tb02080.x"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1137\/140957639"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-016-1021-7"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804458.003"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/10618600.2000.10474858","article-title":"Optimization transfer using surrogate objective functions","volume":"9","author":"lange","year":"2000","journal-title":"J Comput Graph Statist"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.871582"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.862083"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1137\/060669498"},{"key":"ref34","first-page":"2193","article-title":"Reconciling “priors” & “priors” without prejudice","author":"gribonval","year":"0","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2017.2763583"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/2012\/08\/P08009"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TCI.2016.2629286"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2017.2710233"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/CVPR.2017.300"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/ICCV.2017.198"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/17M1122451"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2018.2869727"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2018.2873610"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TCI.2019.2892123"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2019.8683057"},{"key":"ref28","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4419-8853-9","author":"nesterov","year":"2004","journal-title":"Introductory Lectures on Convex Optimization A Basic Course"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.20042"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2011.2107908"},{"key":"ref3","first-page":"1","article-title":"A $\\ell _1$-unified variational framework for image restoration","author":"bect","year":"0","journal-title":"Proc Eur Conf Comput Vision"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/GlobalSIP.2013.6737048"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.2517-6161.1977.tb01600.x","article-title":"Maximum likelihood from incomplete data via the EM algorithm","volume":"39","author":"demptster","year":"1977","journal-title":"J Roy Statist Soc Ser B"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2009.2028250"},{"key":"ref8","first-page":"313","article-title":"Color image denoising via sparse 3-D collaborative filtering with grouping constraint in luminance-chrominance space","author":"dabov","year":"0","journal-title":"Proc IEEE Int Conf Image Process"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TCI.2016.2599778"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2003.814255"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2017.2662206"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1561\/9781601987174"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2020.2977214"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TCI.2019.2893568"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/MLSP.2017.8168194"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0909892106"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2020.2986643"},{"key":"ref41","doi-asserted-by":"crossref","DOI":"10.1109\/IEEECONF51394.2020.9443410","article-title":"Boosting the performance of plug-and-play priors via denoiser scaling","author":"xu","year":"2020"},{"key":"ref23","first-page":"5546","article-title":"Plug-and-play methods provably converge with properly trained denoisers","author":"ryu","year":"0","journal-title":"Proceedings 36th Int Conf Mach Learn"},{"key":"ref44","first-page":"157","article-title":"An empirical Bayes approach to statistics","author":"robbins","year":"0","journal-title":"Proc 3rd Berkeley Symp Mathematical Statistics and Probability"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/090773908"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/IVMSPW.2018.8448455"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2013.2242061"}],"container-title":["IEEE Signal Processing Letters"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielam\/97\/8966529\/9130860-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/97\/8966529\/09130860.pdf?arnumber=9130860","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T00:59:02Z","timestamp":1723165142000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9130860\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"references-count":44,"URL":"https:\/\/doi.org\/10.1109\/lsp.2020.3006390","relation":{},"ISSN":["1070-9908","1558-2361"],"issn-type":[{"value":"1070-9908","type":"print"},{"value":"1558-2361","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020]]}}}