{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T06:36:05Z","timestamp":1757313365334},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2016,8,8]],"date-time":"2016-08-08T00:00:00Z","timestamp":1470614400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"National Science Basic Research Plan in ShaanXi Province of China","award":["2015JM1031"],"award-info":[{"award-number":["2015JM1031"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["JB150713"],"award-info":[{"award-number":["JB150713"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. & Cyber."],"published-print":{"date-parts":[[2017,12]]},"DOI":"10.1007\/s13042-016-0569-0","type":"journal-article","created":{"date-parts":[[2016,8,8]],"date-time":"2016-08-08T08:21:04Z","timestamp":1470644464000},"page":"1907-1914","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["A projected-based neural network method for second-order cone programming"],"prefix":"10.1007","volume":"8","author":[{"given":"Yaling","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,8,8]]},"reference":[{"key":"569_CR1","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1109\/78.558465","volume":"45","author":"H Lebret","year":"1997","unstructured":"Lebret H, Boyd S (1997) Antenna array pattern synthesis via convex optimization. IEEE Trans Signal Process 45:526\u2013532","journal-title":"IEEE Trans Signal Process"},{"key":"569_CR2","doi-asserted-by":"crossref","first-page":"1581","DOI":"10.1109\/TSP.2003.811229","volume":"51","author":"WS Lu","year":"2003","unstructured":"Lu WS, Hinamoto T (2003) Optimal design of IIR digital filters with robust stability using conic-quadratic-programming updates. IEEE Trans Signal Process 51:1581\u20131592","journal-title":"IEEE Trans Signal Process"},{"key":"569_CR3","first-page":"1581","volume":"97B","author":"ZQ Luo","year":"2003","unstructured":"Luo ZQ (2003) Applications of convex optimization in signal processing and digital communication. Math Program 97B:1581\u20131592","journal-title":"Math Program"},{"key":"569_CR4","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s10107-002-0339-5","volume":"95","author":"F Alizadeh","year":"2003","unstructured":"Alizadeh F, Goldfarb D (2003) Second-order cone programming. Math Program 95:3\u201351","journal-title":"Math Program"},{"key":"569_CR5","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1023\/B:COAP.0000033964.95511.23","volume":"28","author":"Y  Kuo","year":"2004","unstructured":"Kuo Y, Mittelmann Hans D. Interior point methods for second-order cone programming and OR applications. Comput Optim Appl, 28, 255-285 (2004)","journal-title":"Comput Optim Appl"},{"key":"569_CR6","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1023\/A:1022996819381","volume":"25","author":"XD Chen","year":"2003","unstructured":"Chen XD, Sun D, Sun J (2003) Complementarity functions and numerical experiments for second-order cone complementarity problems. Comput Optim Appls 25:39\u201356","journal-title":"Comput Optim Appl"},{"key":"569_CR7","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1137\/S1052623400380365","volume":"12","author":"M Fukushima","year":"2002","unstructured":"Fukushima M, Luo ZQ, Tseng P (2002) Smoothing functions for second-order cone complementarity problems. SIAM J Optim 12:436\u2013460","journal-title":"SIAM J Optim"},{"key":"569_CR8","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1007\/s10107-005-0617-0","volume":"104","author":"JS Chen","year":"2005","unstructured":"Chen JS, Tseng P (2005) An unconstrained smooth minimization reformulation of the second-order cone complementarity problems. Math Progr 104:293\u2013327","journal-title":"Math Progr"},{"key":"569_CR9","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1137\/060657662","volume":"20","author":"C Kanzow","year":"2009","unstructured":"Kanzow C, Ferenczi I, Fukushima M (2009) On the local convergence of semismooth Newton methods for linear and nonlinear second-order cone programs without strict complementarity. SIAM J Optim 20:297\u2013320","journal-title":"SIAM J Optim"},{"key":"569_CR10","doi-asserted-by":"crossref","unstructured":"Tank D, Hopfield J (1986) Simple neural optimization networks: an A\/D converter, signal decision circuit, and a linear programming circuit. IEEE Trans. Circuits Syst, CAS-33, 533C541","DOI":"10.1109\/TCS.1986.1085953"},{"issue":"5","key":"569_CR11","doi-asserted-by":"crossref","first-page":"554","DOI":"10.1109\/31.1783","volume":"35","author":"M Kennedy","year":"1988","unstructured":"Kennedy M, Chua L (1988) Neural networks for nonlinear programming. IEEE Trans Circuits Syst 35(5):554\u2013562","journal-title":"IEEE Trans Circuits Syst"},{"issue":"5","key":"569_CR12","doi-asserted-by":"crossref","first-page":"1414","DOI":"10.1109\/TSMCB.2007.903706","volume":"37","author":"X Hu","year":"2007","unstructured":"Hu X, Wang J (2007) Design of general projection neural networks for solving monotone linear variational inequalities and linear and quadratic optimization problems. IEEE Trans Syst Man Cybern 37(5):1414\u20131421","journal-title":"IEEE Trans Syst Man Cybern"},{"issue":"1","key":"569_CR13","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1109\/72.822505","volume":"11","author":"BS He","year":"2000","unstructured":"He BS, Yang H (2000) A neural-network model for monotone linear asymmetric variational Inequalities. IEEE Trans Neural Netw 11(1):3\u201316","journal-title":"IEEE Trans Neural Netw"},{"key":"569_CR14","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1016\/S0375-9601(02)01673-0","volume":"307","author":"X Gao","year":"2003","unstructured":"Gao X, Liao L, Qi L (2003) A neural network for monotone variational inequalities with linear constraints. Phys Lett A 307:118\u2013128","journal-title":"Phys Lett A"},{"key":"569_CR15","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1109\/TNN.2008.2006263","volume":"20","author":"X Gao","year":"2009","unstructured":"Gao X, Liao L (2009) A new projection-based neural network for constrained variational inequalities. IEEE Trans Neural Netw 20:373\u2013388","journal-title":"IEEE Trans Neural Netw"},{"key":"569_CR16","doi-asserted-by":"crossref","first-page":"697","DOI":"10.1016\/j.ins.2009.11.014","volume":"180","author":"JS Chen","year":"2010","unstructured":"Chen JS, Ko CH, Pan SH (2010) A neural network based on the generalized FischerCBurmeister function for nonlinear complementarity problems. Inform Sci 180:697\u2013711","journal-title":"Inform Sci"},{"key":"569_CR17","doi-asserted-by":"crossref","first-page":"3646","DOI":"10.1016\/j.neucom.2011.07.009","volume":"74","author":"CH Ko","year":"2011","unstructured":"Ko CH, Chen JS, Yang CY (2011) Recurrent neural networks for solving second-order cone programs. Neurocomputing 74:3646\u20133653","journal-title":"Neurocomputing"},{"key":"569_CR18","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/j.ins.2012.07.006","volume":"220","author":"DR Liu","year":"2013","unstructured":"Liu DR, Wang D, Yang X (2013) An iterative adaptive dynamic programming algorithm for optimal control of unknown discrete-time nonlinear systems with constrained inputs. Inform Sci 220:331\u2013342","journal-title":"Inform Sci"},{"key":"569_CR19","doi-asserted-by":"crossref","first-page":"1627","DOI":"10.1109\/JBHI.2015.2425041","volume":"19","author":"H Chen","year":"2015","unstructured":"Chen H, Ni D, Qin J, Li S, Yang X, Wang T, Heng PA (2015) Standard plane localization in fetal ultrasound via domain transferred deep neural networks. IEEE J Biomed Health Inform 19:1627\u20131636","journal-title":"IEEE J Biomed Health Inform"},{"key":"569_CR20","doi-asserted-by":"crossref","first-page":"2329","DOI":"10.3233\/IFS-141516","volume":"28","author":"XZ Wang","year":"2015","unstructured":"Wang X Z (2015) Uncertainty in learning from big data-editorial. J Intell Fuzzy Syst 28:2329-2330","journal-title":"J Intell Fuzzy Syst"},{"key":"569_CR21","first-page":"743C760","volume":"19","author":"SX Lu","year":"2015","unstructured":"Lu SX, Wang XZ, Zhang GQ, Zhou X (2015) Effective algorithms of the Moore-Penrose inverse matrices for extreme learning machine. Intell Data Anal 19:743C760","journal-title":"Intell Data Anal"},{"key":"569_CR22","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.01.037","author":"YL He","year":"2016","unstructured":"He YL, Wang XZ, Huang JZX (2016) Fuzzy nonlinear regression analysis using a random weight network. Inf Sci. doi:\n                        10.1016\/j.ins.2016.01.037\n                        \n                     (in press)","journal-title":"Inf Sci"},{"key":"569_CR23","doi-asserted-by":"crossref","unstructured":"Ashfaq RAR, Wang XZ, Huang JZX, Abbas H, He YL Fuzziness based semi-supervised learning approach for intrusion detection system (IDS). Inform Sci. doi:10.1016\/j.ins.2016.04.019 (in press)","DOI":"10.1016\/j.ins.2016.04.019"},{"issue":"B","key":"569_CR24","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1007\/s10107-002-0350-x","volume":"95","author":"HY Benson","year":"2003","unstructured":"Benson HY, Vanderbei RJ (2003) Solving problems with semidefinite and related constraints using interior-point methods for nonlinear programming. Math Program 95(B):279-302","journal-title":"Math Program"},{"key":"569_CR25","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1007\/s11228-008-0092-x","volume":"16","author":"JV Outrata","year":"2003","unstructured":"Outrata JV, Sun D (2008) On the coderivative of the projection operator onto the second-order cone. Set-Valued Var Anal 16: 999-1014","journal-title":"Set-Valued Var Anal"},{"key":"569_CR26","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1007\/s11228-009-0113-4","volume":"17","author":"L Kong","year":"2009","unstructured":"Kong L, Tuncel L, Xiu N (2009) Clarke generalized jacobian of the projection onto symmetric cones. Set-Valued Var Anal 17:135\u2013151","journal-title":"Set-Valued Var Anal"},{"key":"569_CR27","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/S0024-3795(98)10032-0","volume":"284","author":"MS Lobo","year":"1998","unstructured":"Lobo MS, Vandenberghe L, Boyd S, Lebret H (1998) Application of second order cone programming. Linear Algebra Appl 284:193\u2013228","journal-title":"Linear Algebra Appl"},{"key":"569_CR28","volume-title":"Introduction to linear and Nolinear programming","author":"DG Luenberger","year":"1973","unstructured":"Luenberger DG (1973) Introduction to linear and Nolinear programming. Addison-wesley, MA"},{"key":"569_CR29","first-page":"7l","volume":"68","author":"BS He","year":"1994","unstructured":"He BS (1994) Solving a class of linear projection equations. Numerische Mathematik 68:7l\u201380","journal-title":"Numerische Mathematik"},{"key":"569_CR30","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF01581141","volume":"66","author":"BS He","year":"1994","unstructured":"He BS (1994) A new method for a class linear variational inequalities. Math Program 66:137\u2013144","journal-title":"Math Program"},{"key":"569_CR31","volume-title":"Applied nonlinear control","author":"J-JE Slotine","year":"1991","unstructured":"Slotine J-JE, Li W (1991) Applied nonlinear control. Prentice-Hall, Englewood Cliffs, NJ"},{"key":"569_CR32","volume-title":"Complementarity and variational problems","author":"TE Smith","year":"1997","unstructured":"Smith TE, Friesz TL, Bernstein DH, Suo ZG (1997) In: Ferris MC, Pang JS (eds) Complementarity and variational problems. State of Art, SIAM, Philadelphia"},{"key":"569_CR33","doi-asserted-by":"crossref","first-page":"1074","DOI":"10.1109\/72.950137","volume":"12","author":"Y Leung","year":"2001","unstructured":"Leung Y, Chen KZ, Jiao YC et al (2001) A new gradient-based neural network for solving linear and quadratic programming problems. IEEE Trans Neural Netws 12:1074\u20131083","journal-title":"IEEE Trans Neural Netw"},{"key":"569_CR34","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.1137\/S0895479896298130","volume":"18","author":"LEI Ghaoui","year":"1997","unstructured":"Ghaoui LEI, Lebret H (1997) Robust solutions to least-squares problems with uncertain data. SIAM J Matrix Anal Appl 18:1035\u20131064","journal-title":"SIAM J Matrix Anal Appl"},{"key":"569_CR35","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1080\/10556789908805766","volume":"11\u201312","author":"JF Sturm","year":"1999","unstructured":"Sturm JF (1999) Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optim Methods Softw 11\u201312:625\u2013653","journal-title":"Optim Methods Softw"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-016-0569-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-016-0569-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-016-0569-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-016-0569-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T02:55:05Z","timestamp":1589684105000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-016-0569-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8,8]]},"references-count":35,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2017,12]]}},"alternative-id":["569"],"URL":"https:\/\/doi.org\/10.1007\/s13042-016-0569-0","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8,8]]}}}