{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T14:31:57Z","timestamp":1780410717119,"version":"3.54.1"},"reference-count":78,"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":"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":"Program for Changjiang Scholars"},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U1713208"],"award-info":[{"award-number":["U1713208"]}],"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":["61876083"],"award-info":[{"award-number":["61876083"]}],"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":["61906067"],"award-info":[{"award-number":["61906067"]}],"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":["61602246"],"award-info":[{"award-number":["61602246"]}],"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":["61973162"],"award-info":[{"award-number":["61973162"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2019M651415"],"award-info":[{"award-number":["2019M651415"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["30918014108"],"award-info":[{"award-number":["30918014108"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["30918011319"],"award-info":[{"award-number":["30918011319"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004608","name":"Natural Science Foundation of Jiangsu Province","doi-asserted-by":"publisher","award":["BK20171430"],"award-info":[{"award-number":["BK20171430"]}],"id":[{"id":"10.13039\/501100004608","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Summit of the Six Top Talents Program","award":["DZXX-027"],"award-info":[{"award-number":["DZXX-027"]}]},{"name":"Young Elite Scientists Sponsorship Program by Jiangsu Province"},{"name":"Young Elite Scientists Sponsorship Program by China Association for Science and Technology","award":["2018QNRC001"],"award-info":[{"award-number":["2018QNRC001"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. on Image Process."],"published-print":{"date-parts":[[2020]]},"DOI":"10.1109\/tip.2019.2957925","type":"journal-article","created":{"date-parts":[[2019,12,12]],"date-time":"2019-12-12T20:52:48Z","timestamp":1576183968000},"page":"3132-3142","source":"Crossref","is-referenced-by-count":74,"title":["Low-Rank Matrix Recovery via Modified Schatten-$p$  Norm Minimization With Convergence Guarantees"],"prefix":"10.1109","volume":"29","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2472-6637","authenticated-orcid":false,"given":"Hengmin","family":"Zhang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0968-8556","authenticated-orcid":false,"given":"Jianjun","family":"Qian","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5628-6237","authenticated-orcid":false,"given":"Bob","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jian","family":"Yang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4092-9856","authenticated-orcid":false,"given":"Chen","family":"Gong","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9209-6825","authenticated-orcid":false,"given":"Yang","family":"Wei","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref73","volume":"317","author":"rockafellar","year":"2009","journal-title":"Variational Analysis"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0701-9"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2015.2481325"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2017.2777183"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2017.2760287"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2017.2649482"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1993-1181163-6"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.02.020"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-018-0757-z"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/ICDM.2015.9"},{"key":"ref78","article-title":"Tensor robust principal component analysis with a new tensor nuclear norm","author":"lu","year":"0","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2016.2598316"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/s11263-016-0930-5"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2015.2465956"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2012.271"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1214\/09-AOS729"},{"key":"ref36","first-page":"1081","article-title":"Analysis of multi-stage convex relaxation for sparse regularization","volume":"14","author":"zhang","year":"2010","journal-title":"J Mach Learn Res"},{"key":"ref35","first-page":"655","article-title":"Low-rank matrix recovery via efficient Schatten p-norm minimization","author":"nie","year":"2012","journal-title":"Proc Assoc Adv Artif Intell (AAAI)"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/ICCV.2013.34"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2018.2867995"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1016\/j.jvcir.2012.10.006"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2784479"},{"key":"ref63","article-title":"The case of equality in the von Neumann trace inequality","author":"rhea","year":"2011"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2012.2212015"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2017.2689021"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2016.12.095"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2017.2651816"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2014.2374695"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2014.2380155"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1137\/080716542"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2009.2028250"},{"key":"ref69","first-page":"3308","article-title":"Efficient inexact proximal gradient algorithm for nonconvex problems","author":"yao","year":"2016","journal-title":"Proc Int Joint Conf Artif Intell (IJCAI)"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2015.2511584"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2009.2035722"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2014.2307067"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2017.2677440"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1145\/1553374.1553434"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-011-9084-6"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-009-0306-5"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1198\/016214501753382273"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-008-9045-x"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1137\/050644641"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-011-0484-9"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-014-4949-1"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2016.2599290"},{"key":"ref57","first-page":"1815","article-title":"Harmonic mean iteratively reweighted least squares for low-rank matrix recovery","volume":"19","author":"k\u00fcmmerle","year":"2018","journal-title":"J Mach Learn Res"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1137\/110840364"},{"key":"ref55","first-page":"3441","article-title":"Iterative reweighted algorithms for matrix rank minimization","volume":"13","author":"mohan","year":"2012","journal-title":"J Mach Learn Res"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2014.02.015"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2008.09.001"},{"key":"ref52","first-page":"379","article-title":"Accelerated proximal gradient methods for nonconvex programming","author":"li","year":"2015","journal-title":"Proc Adv Neural Inf Process Syst (NIPS)"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2018.2811764"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.patrec.2013.08.006"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/s12532-012-0044-1"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TGRS.2016.2547879"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2016.2598638"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/070697835"},{"key":"ref15","first-page":"615","article-title":"An accelerated proximal gradient algorithm for nuclear norm regularized least squares problems","volume":"6","author":"toh","year":"2010","journal-title":"Pacific J Optim"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/080738970"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2016.2608834"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"ref19","article-title":"The augmented Lagrange multiplier method for exact recovery of corrupted low-rank matrices","author":"lin","year":"2010","journal-title":"ArXiv 1009 5055"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s10115-013-0713-z"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2017.2745200"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2001.945730"},{"key":"ref5","first-page":"1805","article-title":"Generalized singular value thresholding","author":"lu","year":"2015","journal-title":"Proc Assoc Adv Artif Intell (AAAI)"},{"key":"ref8","first-page":"2016","article-title":"Scalable algorithms for tractable schatten quasi-norm minimization","author":"shang","year":"2016","journal-title":"Proc Assoc Adv Artif Intell (AAAI)"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2015.02.026"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.5802\/aif.1638"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2012.88"},{"key":"ref46","first-page":"543","article-title":"A method for unconstrained convex minimization problem with the rate of convergence \n$o(1\/k^{2})$","volume":"269","author":"nesterov","year":"1983","journal-title":"Nauk SSSR"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2017.2748590"},{"key":"ref48","first-page":"87","article-title":"Une propri&#x00E9;t&#x00E9; topologique des sous-ensembles analytiques r&#x00E9;els","volume":"117","author":"lojasiewicz","year":"1963","journal-title":"Les &#x00E9;quations aux d&#x00E9;riv&#x00E9;es partielles"},{"key":"ref47","doi-asserted-by":"crossref","first-page":"1013","DOI":"10.1109\/TNNLS.2012.2197412","article-title":"$L_{1\/2}$\n regularization: A thresholding representation theory and a fast solver","volume":"23","author":"xu","year":"2012","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"ref42","first-page":"1","article-title":"$l_{q}$\n regularized low-rank approximation via iterative reweighted singular value minimization","volume":"117","author":"lu","year":"2017","journal-title":"Comput Optim Appl"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2015.10.005"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1162\/NECO_a_00369"},{"key":"ref43","first-page":"2488","article-title":"Unifying nuclear norm and bilinear factorization approaches for low-rank matrix decomposition","author":"cabral","year":"2014","journal-title":"Proc IEEE Conf Comput Vis Pattern Recognit (CVPR)"}],"container-title":["IEEE Transactions on Image Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/83\/8835130\/08931253.pdf?arnumber=8931253","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,27]],"date-time":"2022-04-27T14:38:40Z","timestamp":1651070320000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8931253\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"references-count":78,"URL":"https:\/\/doi.org\/10.1109\/tip.2019.2957925","relation":{},"ISSN":["1057-7149","1941-0042"],"issn-type":[{"value":"1057-7149","type":"print"},{"value":"1941-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020]]}}}