{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T16:19:28Z","timestamp":1770913168212,"version":"3.50.1"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"S1","license":[{"start":{"date-parts":[[2012,8,11]],"date-time":"2012-08-11T00:00:00Z","timestamp":1344643200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2013,5]]},"DOI":"10.1007\/s00521-012-1108-x","type":"journal-article","created":{"date-parts":[[2012,8,10]],"date-time":"2012-08-10T01:22:42Z","timestamp":1344561762000},"page":"153-161","source":"Crossref","is-referenced-by-count":71,"title":["Multiple birth support vector machine for multi-class classification"],"prefix":"10.1007","volume":"22","author":[{"given":"Zhi-Xia","family":"Yang","sequence":"first","affiliation":[]},{"given":"Yuan-Hai","family":"Shao","sequence":"additional","affiliation":[]},{"given":"Xiang-Sun","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,8,11]]},"reference":[{"key":"1108_CR1","first-page":"273","volume":"20","author":"C Cortes","year":"1995","unstructured":"Cortes C, Vapnik V (1995) Support-vector network. Mach Learn 20:273\u2013297","journal-title":"Mach Learn"},{"key":"1108_CR2","volume-title":"The nature of statistical learning, 2nd edn","author":"V Vapnik","year":"1998","unstructured":"Vapnik V (1998) The nature of statistical learning, 2nd edn. Springer, New York"},{"issue":"5","key":"1108_CR3","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1109\/TPAMI.2007.1068","volume":"29","author":"R Jayadeva","year":"2007","unstructured":"Jayadeva R, Khemchandani R, Chandra S (2007) Twin support vector machine for pattern classification. IEEE Trans Pattern Anal Mach Intell 29(5):905\u2013910","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"1","key":"1108_CR4","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1109\/TPAMI.2006.17","volume":"28","author":"OL Mangasarian","year":"2006","unstructured":"Mangasarian OL, Wild EW (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":"1108_CR5","doi-asserted-by":"crossref","unstructured":"Balasundaram S, Kapil N (2010) Application of lagrangian twin support vector machines for classification. Second international conference on machine learning and computing, pp 193\u2013397","DOI":"10.1109\/ICMLC.2010.40"},{"key":"1108_CR6","doi-asserted-by":"crossref","first-page":"510","DOI":"10.1016\/j.sigpro.2008.10.002","volume":"89","author":"S Ghorai","year":"2009","unstructured":"Ghorai S, Mukherjee A, Dutta PK (2009) Nonparallel plane proximal classifier. Signal Process 89:510\u2013522","journal-title":"Signal Process"},{"key":"1108_CR7","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1007\/s11590-008-0092-7","volume":"3","author":"R Jayadeva","year":"2009","unstructured":"Jayadeva R, Khemchandani R, Chandra S (2009) Optimal kernel selection in twin support vector machines. Optim Lett 3:77\u201388","journal-title":"Optim Lett"},{"key":"1108_CR8","doi-asserted-by":"crossref","first-page":"1842","DOI":"10.1016\/j.patrec.2008.05.016","volume":"29","author":"MA Kumar","year":"2008","unstructured":"Kumar MA, Gopal M (2008) Application of smoothing technique on twin support vector machines. Pattern Recognit Lett 29:1842\u20131848","journal-title":"Pattern Recognit Lett"},{"key":"1108_CR9","doi-asserted-by":"crossref","first-page":"4606","DOI":"10.1016\/j.ins.2010.07.034","volume":"180","author":"MA Kumar","year":"2010","unstructured":"Kumar MA, Khemchandani R, Gopal M, Chandra S (2010) Knowledge based least squares twin support vector machines. Inf Sci 180:4606\u20134618","journal-title":"Inf Sci"},{"key":"1108_CR10","doi-asserted-by":"crossref","first-page":"8371","DOI":"10.1016\/j.eswa.2010.05.045","volume":"37","author":"XJ Peng","year":"2010","unstructured":"Peng XJ (2010) Least squares twin support vector hypersphere (LS-TSVH) for pattern recognition. Expert Syst Appl 37:8371\u20138378","journal-title":"Expert Syst Appl"},{"key":"1108_CR11","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/j.neunet.2009.07.002","volume":"23","author":"XJ Peng","year":"2010","unstructured":"Peng XJ (2010) TSVR: an efficient twin support vector machine for regression. Neural Netw 23:365\u2013372","journal-title":"Neural Netw"},{"issue":"16\u201318","key":"1108_CR12","doi-asserted-by":"crossref","first-page":"2846","DOI":"10.1016\/j.neucom.2010.08.013","volume":"73","author":"XJ Peng","year":"2010","unstructured":"Peng XJ (2010) Primal twin support vector regression and its sparse approximation. Neurocomputing 73(16\u201318):2846\u20132858","journal-title":"Neurocomputing"},{"issue":"20","key":"1108_CR13","doi-asserted-by":"crossref","first-page":"3863","DOI":"10.1016\/j.ins.2010.06.039","volume":"180","author":"XJ Peng","year":"2010","unstructured":"Peng XJ (2010) A \u03bd-twin support vector machine (\u03bd-TSVM) classifier and its geometric algorithms. Inf Sci 180(20):3863\u20133875","journal-title":"Inf Sci"},{"issue":"6","key":"1108_CR14","doi-asserted-by":"crossref","first-page":"962","DOI":"10.1109\/TNN.2011.2130540","volume":"22","author":"YH Shao","year":"2011","unstructured":"Shao YH, Zhang CH, Wang XB, Deng NY (2011) Improvoments on twin support vector machine. IEEE Trans Neural Netw 22(6):962\u2013968","journal-title":"IEEE Trans Neural Netw"},{"key":"1108_CR15","unstructured":"Ye QL, Zhao CX, Ye N (2010) Least squares twin support vector machine classification via maximum one-class within class variance. Optimization methods and software, 18 August"},{"key":"1108_CR16","unstructured":"Ye QL, Zhao CX, Ye N, Zheng H, Chen XB (2010) A feature selection method for nonparallel plane support vector machine classification. Optimization methods and software, 29 November"},{"key":"1108_CR17","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1016\/j.neucom.2010.09.015","volume":"74","author":"QL Ye","year":"2011","unstructured":"Ye QL, Zhao CX, Ye N, Chen XB (2011) Localized twin SVM via convex minimization. Neurocomputing 74:580\u2013587","journal-title":"Neurocomputing"},{"key":"1108_CR18","doi-asserted-by":"crossref","unstructured":"Nemmour H, Chibani Y (2006) Multi-class SVMs based on fuzzy integral mixture for handwritten digit recognition. Geometric modeling and imaging\u2014new trends, pp 145\u2013149","DOI":"10.1109\/GMAI.2006.37"},{"key":"1108_CR19","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1007\/11551188_20","volume":"3686","author":"S Rogers","year":"2005","unstructured":"Rogers S, Girolami M, Krebs R, Mischak H (2005) Disease classification from capillary electrophoresis: mass spectrometry. Lect Notes Comput Sci 3686:183\u2013191","journal-title":"Lect Notes Comput Sci"},{"key":"1108_CR20","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1093\/bioinformatics\/17.4.349","volume":"17","author":"CH Ding","year":"2001","unstructured":"Ding CH, Dubchak I (2001) Multi-class protein fold recognition using support vector machines and neural networks. Bioinform Biol Insights 17:349\u2013358","journal-title":"Bioinformatics"},{"key":"1108_CR21","first-page":"113","volume":"1","author":"EL Allwein","year":"2001","unstructured":"Allwein EL, Schapire RE, Singer Y (2001) Reducing multiclass to binary: a unifying approach for margin classifiers. J Mach Learn Res 1:113\u2013141","journal-title":"J Mach Learn Res"},{"key":"1108_CR22","first-page":"307","volume-title":"Advances in Kernel methods: support vector learning","author":"KP Bennett","year":"1999","unstructured":"Bennett KP (1999) Combining support vector and mathematical programming methods for classification. In: Scholkopf B, Burges CJC, Smola AJ (eds) Advances in Kernel methods: support vector learning. MIT Press, Cambridge, MA, pp 307\u2013326"},{"key":"1108_CR23","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1023\/A:1013637720281","volume":"47","author":"K Crammer","year":"2002","unstructured":"Crammer K, Singer Y (2002) On the learnability and design of output codes for multiclass problems. Mach Learn 47:201\u2013233","journal-title":"Mach Learn"},{"key":"1108_CR24","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1613\/jair.105","volume":"2","author":"TG Dietterich","year":"1995","unstructured":"Dietterich TG, Bakiri G (1995) Solving multiclass learning problems via error-correcting output codes. J Artif Intell Res 2:263\u2013286","journal-title":"J Artif Intell Res"},{"key":"1108_CR25","first-page":"507","volume-title":"Advances in neural information processing systems 10","author":"TJ Hastie","year":"1998","unstructured":"Hastie TJ, Ribshirani RJ (1998) Classification by pairwise coupling. In: Jordan MI, Kearns MJ, Solla SA (eds) Advances in neural information processing systems 10. MIT Press, Cambridge, MA, pp 507\u2013513"},{"key":"1108_CR26","first-page":"255","volume-title":"Advances in Kernel methods: support vector learning","author":"U Kre\u03b2","year":"1999","unstructured":"Kre\u03b2 U (1999) Pairwise classification and support vector machines. In: Scholkopf B, Burges CJC, Smola AJ (eds) Advances in Kernel methods: support vector learning. MIT Press, Cambridge, MA, pp 255\u2013268"},{"key":"1108_CR27","first-page":"547","volume":"12","author":"JC Platt","year":"2000","unstructured":"Platt JC, Cristianini N, Shawe-Taylor J (2000) Large margin DAGs for multiclass classification. Adv Neural Inf Process Syst 12:547\u2013553","journal-title":"Adv Neural Inf Process Syst"},{"key":"1108_CR28","first-page":"265","volume":"2","author":"K Crammer","year":"2002","unstructured":"Crammer K, Singer Y (2002) On the algorithmic implementation of multiclass kernel-based vector machines. J Mach Learn Res 2:265\u2013292","journal-title":"J Mach Learn Res"},{"key":"1108_CR29","first-page":"498","volume":"33","author":"Y Lee","year":"2001","unstructured":"Lee Y, Lin Y, Wahba G (2001) Multicategory support vector machines. Comput Sci Stat 33:498\u2013512","journal-title":"Comput Sci Stat"},{"key":"1108_CR30","volume-title":"Multi-class support vector machines. CSD-TR-98-04 royal holloway","author":"J Weston","year":"1998","unstructured":"Weston J, Watkins C (1998) Multi-class support vector machines. CSD-TR-98-04 royal holloway. University of London, Egham, UK"},{"issue":"5","key":"1108_CR31","doi-asserted-by":"crossref","first-page":"1032","DOI":"10.1109\/72.788643","volume":"10","author":"OL Mangasarian","year":"1999","unstructured":"Mangasarian OL, Musicant DR (1999) Successive overrelaxation for support vector machines. IEEE Trans Neural Netw 10(5):1032\u20131037","journal-title":"IEEE Trans Neural Netw"},{"key":"1108_CR32","doi-asserted-by":"crossref","unstructured":"Bottou L, Cortes C, Denker JS, Drucher H, Guyon I, Jackel LD, LeCun Y, M $$\\ddot{u}$$ ller UA, Sackinger E, Simard P, Vapnik V (1994) Comparison of classifier methods: a case study in handwriting digit recognition. In: IAPR (eds) Proceedings of the international conference on pattern recognition. IEEE Computer Society Press, pp 77\u201382","DOI":"10.1109\/ICPR.1994.576879"},{"key":"1108_CR33","first-page":"160","volume-title":"Proceedings of the ECML-98.","author":"M Moreira","year":"1998","unstructured":"Moreira M, Mayoraz E (1998) Improved pairwise coupling classification with correcting classifiers. In: N\u00e9dellec C, Rouveirol C (eds) Proceedings of the ECML-98. Chemnitz, Germany, pp 160\u2013171"},{"key":"1108_CR34","volume-title":"Advances in large margin classifiers","author":"JC Platt","year":"1999","unstructured":"Platt JC (1999) Probabilistic outputs for support vector machines and comparisons to regularized likelihood methods. In: Smola AJ, Bartlett P, Sch\u00f6lkopf B, Schuurmans D (eds) Advances in large margin classifiers. MIT Press, Cambridge, MA"},{"key":"1108_CR35","volume-title":"Matrix computations, 3rd edn","author":"GH Golub","year":"1996","unstructured":"Golub GH, Van Loan CF (1996) Matrix computations, 3rd edn. The John Hopkins University Press, Baltimore"},{"key":"1108_CR36","doi-asserted-by":"crossref","unstructured":"Fung G, Mangasarian OL (2001) Proximal support vector machine classifiers. In: 7th International proceedings on knowledge discovery and data mining, pp 77\u201386","DOI":"10.1145\/502512.502527"},{"key":"1108_CR37","first-page":"157","volume":"46","author":"ZQ Luo","year":"1993","unstructured":"Luo ZQ, Tseng P (1993) Error bounds and convergence analysis of feasible descent methods: a general approach. Ann Oper Res 46:157\u2013178","journal-title":"Ann Oper Res"},{"issue":"2","key":"1108_CR38","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1109\/72.991427","volume":"13","author":"CW Hsu","year":"2002","unstructured":"Hsu CW, Lin CJ (2002) A comparison of methods for multiclass support vector machines. IEEE Trans Neural Netw 13(2):415\u2013425","journal-title":"IEEE Trans Neural Netw"},{"key":"1108_CR39","unstructured":"Blake CL, Merz CJ (1998) UCI repository of machine learning databases. Technical Report University of California, Department of Information and Computer Science, Irvine, CA. Available at: http:\/\/www.ics.uci.edu\/mlearn\/MLRepository.html"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-012-1108-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-012-1108-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-012-1108-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,2]],"date-time":"2019-07-02T14:09:39Z","timestamp":1562076579000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-012-1108-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,8,11]]},"references-count":39,"journal-issue":{"issue":"S1","published-print":{"date-parts":[[2013,5]]}},"alternative-id":["1108"],"URL":"https:\/\/doi.org\/10.1007\/s00521-012-1108-x","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,8,11]]}}}