{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T04:41:40Z","timestamp":1764996100493},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,7,29]],"date-time":"2016-07-29T00:00:00Z","timestamp":1469750400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Intell"],"published-print":{"date-parts":[[2017,1]]},"DOI":"10.1007\/s10489-016-0809-8","type":"journal-article","created":{"date-parts":[[2016,7,29]],"date-time":"2016-07-29T06:31:16Z","timestamp":1469773876000},"page":"124-134","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["A new approach for training Lagrangian twin support vector machine via unconstrained convex minimization"],"prefix":"10.1007","volume":"46","author":[{"given":"S.","family":"Balasundaram","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Deepak","family":"Gupta","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Subhash Chandra","family":"Prasad","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,7,29]]},"reference":[{"key":"809_CR1","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/j.knosys.2014.01.018","volume":"59","author":"S Balasundaram","year":"2014","unstructured":"Balasundaram S, Gupta D (2014) Training Lagrangian twin support vector regression via unconstrained convex minimization. Knowl-Based Syst 59:85\u201396","journal-title":"Knowl-Based Syst"},{"key":"809_CR2","first-page":"273","volume":"20","author":"C Cortes","year":"1995","unstructured":"Cortes C, Vapnik V N (1995) Support vector networks. Mach Learn 20:273\u2013297","journal-title":"Mach Learn"},{"key":"809_CR3","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511801389","volume-title":"An introduction to support vector machines and other kernel based learning method","author":"N Cristianini","year":"2000","unstructured":"Cristianini N, Shawe-Taylor J (2000) An introduction to support vector machines and other kernel based learning method. Cambridge University Press, Cambridge"},{"key":"809_CR4","first-page":"1","volume":"7","author":"J Demsar","year":"2006","unstructured":"Demsar J (2006) Statistical comparisons of classifiers over multiple data sets. J Mach Learn Res 7:1\u201330","journal-title":"J Mach Learn Res"},{"key":"809_CR5","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/S0925-2312(03)00379-5","volume":"55","author":"G Fung","year":"2003","unstructured":"Fung G, Mangasarian OL (2003) Finite Newton method for Lagrangian support vector machine. Neurocomputing 55:39\u201355","journal-title":"Neurocomputing"},{"key":"809_CR6","unstructured":"Golub GH, Van Loan CF (1996) Matrix computations, 3rd ed., The Johns Hopkins University Press"},{"key":"809_CR7","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1023\/A:1012487302797","volume":"46","author":"I Guyon","year":"2002","unstructured":"Guyon I, Weston J, Barnhill S, Vapnik V (2002) Gene selection for cancer classification using support vector machine. Mach Learn 46:389\u2013422","journal-title":"Mach Learn"},{"key":"809_CR8","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/BF01442169","volume":"11","author":"J-B Hiriart-Urruty","year":"1984","unstructured":"Hiriart-Urruty J -B, Strodiot J J, Nguyen V H (1984) Generalized Hessian matrix and second-order optimality conditions for problems with C 1,1 data. Appl Math Optim 11:43\u201356","journal-title":"Appl Math Optim"},{"issue":"5","key":"809_CR9","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1109\/TPAMI.2007.1068","volume":"29","author":"KR Jayadeva","year":"2007","unstructured":"Jayadeva K R, Chandra S (2007) Twin support vector machines for pattern classification. IEEE Trans Pattern Anal Mach Intell 29(5):905\u2013910","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"809_CR10","doi-asserted-by":"crossref","unstructured":"Joachims T, Ndellec C, Rouveriol (1998) Text categorization with support vector machines: learning with many relevant features. In: European conference on machine learning, no.10, Chemnitz, Germany, pp 137\u2013142","DOI":"10.1007\/BFb0026683"},{"key":"809_CR11","doi-asserted-by":"crossref","first-page":"7535","DOI":"10.1016\/j.eswa.2008.09.066","volume":"36","author":"MA Kumar","year":"2009","unstructured":"Kumar M A, Gopal M (2009) Least squares twin support vector machines for pattern classification. Expert Syst Appl 36:7535\u20137543","journal-title":"Expert Syst Appl"},{"key":"809_CR12","doi-asserted-by":"crossref","first-page":"1842","DOI":"10.1016\/j.patrec.2008.05.016","volume":"29","author":"MA Kumar","year":"2008","unstructured":"Kumar M A, Gopal M (2008) Application of smoothing technique on twin support vector machines. Pattern Recogn Lett 29:1842\u20131848","journal-title":"Pattern Recogn Lett"},{"issue":"1","key":"809_CR13","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1023\/A:1011215321374","volume":"20","author":"YJ Lee","year":"2001","unstructured":"Lee Y J, Mangasarian O L (2001) SSVM: A smooth support vector machine for classification. Comput Optim Appl 20(1):5\u201322","journal-title":"Comput Optim Appl"},{"key":"809_CR14","doi-asserted-by":"crossref","first-page":"913","DOI":"10.1080\/1055678021000028375","volume":"17","author":"OL Mangasarian","year":"2002","unstructured":"Mangasarian O L (2002) A finite Newton method for classification. Optimization Methods and Software 17:913\u2013929","journal-title":"Optimization Methods and Software"},{"key":"809_CR15","first-page":"161","volume":"1","author":"OL Mangasarian","year":"2001","unstructured":"Mangasarian O L, Musicant D R (2001) Lagrangian support vector machines. J Mach Learn Res 1:161\u2013177","journal-title":"J Mach Learn Res"},{"issue":"1","key":"809_CR16","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1109\/TPAMI.2006.17","volume":"28","author":"OL Mangasarian","year":"2006","unstructured":"Mangasarian O L, Wild E W (2006) Multisurface proximal support vector classification via generalized eigenvalues. IEEE Trans Pattern Anal Mach Intell 28(1):69\u201374","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"key":"809_CR17","volume-title":"UCI Repository of machine learning databases","author":"PM Murphy","year":"1992","unstructured":"Murphy P M, Aha D W (1992) UCI Repository of machine learning databases. University of California, Irvine. http:\/\/www.ics.uci.edu\/~mlearn"},{"key":"809_CR18","doi-asserted-by":"crossref","unstructured":"Osuna E, Freund R, Girosi F (1997) Training support vector machines: an application to face detection. In: Proceedings of Computer Vision and Pattern Recognition, pp 130\u2013136","DOI":"10.1109\/CVPR.1997.609310"},{"key":"809_CR19","unstructured":"Platt J (1999) Fast training of support vector machines using sequential minimal optimization. In: Scholkopf B, Burges CJC, Smola AJ (Ed.), Advances in kernel methods- support vector learning, MIT press, Cambridge, MA, pp 185\u2013208"},{"issue":"10-11","key":"809_CR20","doi-asserted-by":"crossref","first-page":"2678","DOI":"10.1016\/j.patcog.2011.03.031","volume":"44","author":"X Peng","year":"2011","unstructured":"Peng X (2011) TPMSVM: A novel twin parametric-margin support vector machine for pattern recognition. Pattern Recogn 44(10-11):2678\u20132692","journal-title":"Pattern Recogn"},{"issue":"3","key":"809_CR21","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/j.neunet.2009.07.002","volume":"23","author":"X Peng","year":"2010","unstructured":"Peng X (2010) TSVR: An efficient twin support vector machine for regression. Neural Netw 23(3):365\u2013372","journal-title":"Neural Netw"},{"key":"809_CR22","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970524","volume-title":"Conjugate duality and optimization","author":"RT Rockafellar","year":"1974","unstructured":"Rockafellar R T (1974) Conjugate duality and optimization. SIAM, Philadelphia"},{"issue":"6","key":"809_CR23","doi-asserted-by":"crossref","first-page":"962","DOI":"10.1109\/TNN.2011.2130540","volume":"22","author":"Y Shao","year":"2011","unstructured":"Shao Y, Zhang C, Wang X, Deng N (2011) Improvements on twin support vector machines. IEEE Trans Neural Netw 22(6):962\u2013968","journal-title":"IEEE Trans Neural Netw"},{"issue":"3","key":"809_CR24","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1023\/A:1018628609742","volume":"9","author":"JAK Suykens","year":"1999","unstructured":"Suykens J A K, Vandewalle J (1999) Least squares support vector machine classifiers. Neural Process Lett 9(3):293\u2013300","journal-title":"Neural Process Lett"},{"key":"809_CR25","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3264-1","volume-title":"The nature of statistical learning theory","author":"Vapnik VN","year":"2000","unstructured":"Vapnik VN (2000) The nature of statistical learning theory, 2nd ed. Springer, New York","edition":"2nd ed"},{"key":"809_CR26","doi-asserted-by":"crossref","first-page":"2054","DOI":"10.1016\/j.patrec.2007.06.010","volume":"28","author":"S Zhou","year":"2007","unstructured":"Zhou S, Liu H, Zhou L, Ye F (2007) Semi-smooth Newton support vector machine. Pattern Recogn Lett 28:2054\u20132062","journal-title":"Pattern Recogn Lett"}],"container-title":["Applied Intelligence"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-016-0809-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10489-016-0809-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-016-0809-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-016-0809-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T19:29:13Z","timestamp":1498332553000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10489-016-0809-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,29]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["809"],"URL":"https:\/\/doi.org\/10.1007\/s10489-016-0809-8","relation":{},"ISSN":["0924-669X","1573-7497"],"issn-type":[{"value":"0924-669X","type":"print"},{"value":"1573-7497","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,7,29]]}}}