{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T07:44:46Z","timestamp":1773560686838,"version":"3.50.1"},"reference-count":58,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2017,6,1]],"date-time":"2017-06-01T00:00:00Z","timestamp":1496275200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11201472"],"award-info":[{"award-number":["11201472"]}],"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":["11331012"],"award-info":[{"award-number":["11331012"]}],"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":["61472390"],"award-info":[{"award-number":["61472390"]}],"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":["11271361"],"award-info":[{"award-number":["11271361"]}],"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":["71110107026"],"award-info":[{"award-number":["71110107026"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004826","name":"Beijing Natural Science Foundation","doi-asserted-by":"publisher","award":["1162005"],"award-info":[{"award-number":["1162005"]}],"id":[{"id":"10.13039\/501100004826","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Cybern."],"published-print":{"date-parts":[[2017,6]]},"DOI":"10.1109\/tcyb.2016.2546965","type":"journal-article","created":{"date-parts":[[2016,4,28]],"date-time":"2016-04-28T16:19:44Z","timestamp":1461860384000},"page":"1423-1433","source":"Crossref","is-referenced-by-count":25,"title":["Nonsmooth Penalized Clustering via $\\ell _{p}$ Regularized Sparse Regression"],"prefix":"10.1109","volume":"47","author":[{"given":"Lingfeng","family":"Niu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ruizhi","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4675-0398","authenticated-orcid":false,"given":"Yingjie","family":"Tian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhiquan","family":"Qi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peng","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","author":"nocedal","year":"2006","journal-title":"Numerical Optimization"},{"key":"ref38","author":"hiriart-urruty","year":"1993","journal-title":"Convex Analysis and Minimization Algorithms I"},{"key":"ref33","article-title":"CVX: MATLAB software for disciplined convex programming, version 2.1","author":"grant","year":"2014"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1137\/080725891"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/0314056"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971309"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2007.898300"},{"key":"ref35","first-page":"37","article-title":"A general iterative shrinkage and thresholding algorithm for non-convex regularized optimization problems","volume":"28","author":"gong","year":"2013","journal-title":"Proc Int Conf Mach Learn"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1080\/10618600.2014.948181"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/drs027"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-004-0552-5"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1137\/120871390"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2013.2286679"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCB.2012.2218233"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2012.2214051"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1214\/08-EJS348"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1137\/080740167"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2011.2181867"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1137\/060657704"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-006-0001-8"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-012-0569-0"},{"key":"ref50","author":"fletcher","year":"2013","journal-title":"Practical Methods of Optimization"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719857"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.2307\/3001968"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.06.009"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/j.swevo.2011.02.002"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.12.010"},{"key":"ref54","first-page":"1","article-title":"Statistical comparisons of classifiers over multiple data sets","volume":"7","author":"dems?ar","year":"2006","journal-title":"J Mach Learn Res"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9868.00293"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1007\/s101070100263"},{"key":"ref10","first-page":"1865","article-title":"Cluster analysis: Unsupervised learning via supervised learning with a non-convex penalty","volume":"14","author":"pan","year":"2013","journal-title":"J Mach Learn Res"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1214\/14-EJS934"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.1979.4766909"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539792240406"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.2011.645783"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1214\/09-AOS729"},{"key":"ref15","first-page":"1159","article-title":"$\\ell _{1\/2}$ regularizer","volume":"53","author":"xu","year":"2010","journal-title":"Sci China F"},{"key":"ref16","first-page":"3885","article-title":"Stable sparse approximations via nonconvex optimization","author":"saab","year":"2008","journal-title":"Proc ICASSP"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"1013","DOI":"10.1109\/TNNLS.2012.2197412","article-title":"$\\ell _{1\/2}$ regularization: A thresholding representation theory and a fast solver","volume":"23","author":"xu","year":"2012","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/24\/3\/035020"},{"key":"ref19","first-page":"1033","article-title":"Fast image deconvolution using hyper-Laplacian priors","author":"krishnan","year":"2009","journal-title":"Proc Adv Neural Inf Process Syst"},{"key":"ref4","author":"kaufman","year":"2009","journal-title":"Finding Groups in Data An Introduction to Cluster Analysis"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1007\/s10115-013-0634-x","article-title":"Group extraction from professional social network using a new semi-supervised hierarchical clustering","volume":"40","author":"ahmed","year":"2014","journal-title":"Knowl Inf Syst"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2013.2291234"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2014.2344015"},{"key":"ref8","first-page":"745","article-title":"Clusterpath an algorithm for clustering using convex fusion penalties","author":"hocking","year":"2011","journal-title":"Proc ICML"},{"key":"ref7","article-title":"Convex clustering shrinkage","author":"pelckmans","year":"2005","journal-title":"Proc Workshop Stat Optim Clustering"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2010.2046900"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/SSP.2011.5967659"},{"key":"ref46","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1111\/j.2517-6161.1996.tb02080.x","article-title":"Regression shrinkage and selection via the lasso","volume":"58","author":"tibshirani","year":"1996","journal-title":"J Royal Statist Soc Series B (Methodol )"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2002.1114856"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/78.738251"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2008.09.001"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1080\/03610927408827101"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1080\/01969727308546046"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/41.8.578"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/BF02294245"}],"container-title":["IEEE Transactions on Cybernetics"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6221036\/7927795\/07460120.pdf?arnumber=7460120","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,16]],"date-time":"2024-06-16T02:10:52Z","timestamp":1718503852000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7460120\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6]]},"references-count":58,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tcyb.2016.2546965","relation":{},"ISSN":["2168-2267","2168-2275"],"issn-type":[{"value":"2168-2267","type":"print"},{"value":"2168-2275","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,6]]}}}