{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T07:59:45Z","timestamp":1769068785837,"version":"3.49.0"},"reference-count":46,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2021,10,1]],"date-time":"2021-10-01T00:00:00Z","timestamp":1633046400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2021,10,1]],"date-time":"2021-10-01T00:00:00Z","timestamp":1633046400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2021,10,1]],"date-time":"2021-10-01T00:00:00Z","timestamp":1633046400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62006068"],"award-info":[{"award-number":["62006068"]}],"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":["11871178"],"award-info":[{"award-number":["11871178"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"publisher","award":["F2021402010"],"award-info":[{"award-number":["F2021402010"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"publisher","award":["A2021402008"],"award-info":[{"award-number":["A2021402008"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Education Department of Hebei Province of China","award":["QN2020188"],"award-info":[{"award-number":["QN2020188"]}]},{"name":"Natural Science Foundation of Education Department of Hebei Province of China","award":["ZD2020185"],"award-info":[{"award-number":["ZD2020185"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Netw. Sci. Eng."],"published-print":{"date-parts":[[2021,10,1]]},"DOI":"10.1109\/tnse.2021.3114426","type":"journal-article","created":{"date-parts":[[2021,9,22]],"date-time":"2021-09-22T20:26:18Z","timestamp":1632342378000},"page":"3430-3442","source":"Crossref","is-referenced-by-count":11,"title":["A Simple Neural Network for Sparse Optimization With $l_1$ Regularization"],"prefix":"10.1109","volume":"8","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1327-5228","authenticated-orcid":false,"given":"Litao","family":"Ma","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4252-047X","authenticated-orcid":false,"given":"Wei","family":"Bian","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1162\/neco.2008.03-07-486"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/j.neunet.2017.12.008","article-title":"Smoothing inertial projection neural network for minimization $l_{p-q}$ in sparse signal reconstruction","volume":"99","author":"zhao","year":"2018","journal-title":"Neural Netw"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2014.2334364"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2016.2524619"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2012.2209735"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"1323","DOI":"10.1109\/TSMCB.2011.2140395","article-title":"A one-layer recurrent neural network for constrained nonsmooth optimization","volume":"41","author":"liu","year":"2011","journal-title":"IEEE Trans Syst Man Cybern Part B-Cybern"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/ICMC.2014.7231689"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2013.2278427"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-012-0569-0"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2015.2496658"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2010.2076294"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2012.2202400"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/23\/3\/007"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1137\/090753504","article-title":"Split bregman methods and frame based image restoration","volume":"8","author":"cai","year":"2009","journal-title":"SIAM J Multiscale Model Simul"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-1599-1_27"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"1380","DOI":"10.1587\/transinf.2019EDP7277","article-title":"Ridge-adding homotopy approach for l1-norm minimization problems","author":"li","year":"2020","journal-title":"IEICE Trans Inf Syst"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-004-0559-y"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/090756855"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1561\/2200000016"},{"key":"ref18","first-page":"697","article-title":"Newton-type alternating minimization algorithm for convex optimization","volume":"64","author":"stella","year":"2019","journal-title":"IEEE Trans Autom Control"},{"key":"ref19","article-title":"$l_1$-Magic: Recovery of sparse signals via convex programming","author":"candes","year":"2005"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2004.834493"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/140985639"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2018.01.008"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIP.2012.2214051"},{"key":"ref6","first-page":"437","article-title":"A projection-based algorithm for constrained $L_1$-minimization optimization with application to sparse signal reconstruction","author":"liu","year":"2018","journal-title":"Proc 8th Int Conf Inf Sci Technol"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2011.2109735"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2018.01.014"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2013.2279362"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2018.2836933"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2015.2481006"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/j.dsp.2020.102684"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-011-9528-9"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970432"},{"key":"ref20","article-title":"SPGL1: A solver for large-scale sparse reconstruction","author":"v","year":"2007"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1002\/0471787779"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1007\/BF00339943","article-title":"‘Neural’ computation of decisions in optimization problems","volume":"52","author":"hopfield","year":"1985","journal-title":"Biol Cybern"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2016.2575860"},{"key":"ref42","doi-asserted-by":"crossref","first-page":"922","DOI":"10.1109\/TAC.2010.2041686","article-title":"Constrained consensus and optimization in multi-agent networks","volume":"55","author":"nedi?","year":"2010","journal-title":"IEEE Trans Autom Control"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2009.2016340"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1016\/j.neucom.2020.02.100","article-title":"Robust ellipse fitting based on lagrange programming neural network and locally competitive algorithm","volume":"51","author":"shi","year":"2020","journal-title":"Neurocomputing"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1109\/TCS.1986.1085953","article-title":"Simple'neural'optimization networks: An a\/d converter, signal decision circuit, and a linear programming circuit","volume":"33","author":"tank","year":"1986","journal-title":"IEEE Trans Circuits Syst"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971309"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2016.2567449"},{"key":"ref43","author":"hale","year":"1980","journal-title":"Ordinary Differential Equations"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2016.2549566"}],"container-title":["IEEE Transactions on Network Science and Engineering"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6488902\/9644929\/09546620.pdf?arnumber=9546620","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,9]],"date-time":"2023-01-09T23:19:45Z","timestamp":1673306385000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9546620\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,1]]},"references-count":46,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tnse.2021.3114426","relation":{},"ISSN":["2327-4697","2334-329X"],"issn-type":[{"value":"2327-4697","type":"electronic"},{"value":"2334-329X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,10,1]]}}}