메뉴 건너뛰기




Volumn 22, Issue 1, 2011, Pages 73-96

A quadratic loss multi-class SVM for which a radius-margin bound applies

Author keywords

leave one out cross validation error; model selection; multi class SVMs; radius margin bounds

Indexed keywords


EID: 79954473028     PISSN: 08684952     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (57)

References (36)
  • 1
    • 0030801002 scopus 로고    scopus 로고
    • Gapped BLAST and PSI-BLAST: A new generation of protein database search programs
    • DOI 10.1093/nar/25.17.3389
    • Altschul, S.F., Madden, T.L., Schäffer, A.A., Zhang, J., Zhang, Z., Miller, W., Lipman, D.J. (1997). Gapped BLAST and PSI-BLAST: a new generation of protein database search programs. Nucleic Acids Research, 25(17), 3389-3402. (Pubitemid 27359211)
    • (1997) Nucleic Acids Research , vol.25 , Issue.17 , pp. 3389-3402
    • Altschul, S.F.1    Madden, T.L.2    Schaffer, A.A.3    Zhang, J.4    Zhang, Z.5    Miller, W.6    Lipman, D.J.7
  • 3
    • 0033931867 scopus 로고    scopus 로고
    • Assessing the accuracy of prediction algorithms for classification: An overview
    • Baldi, P., Brunak, S., Chauvin, Y., Andersen, C.A.F., Nielsen, H. (2000). Assessing the accuracy of prediction algorithms for classification: an overview. Bioinformatics, 16(5), 412-424. (Pubitemid 30487963)
    • (2000) Bioinformatics , vol.16 , Issue.5 , pp. 412-424
    • Baldi, P.1    Brunak, S.2    Chauvin, Y.3    Andersen, C.A.F.4    Nielsen, H.5
  • 4
    • 79551676274 scopus 로고    scopus 로고
    • Statistical classification of scientific publications
    • Balys, V., Rudzkis, R. (2010). Statistical classification of scientific publications. Informatica, 21(4), 471-486.
    • (2010) Informatica , vol.21 , Issue.4 , pp. 471-486
    • Balys, V.1    Rudzkis, R.2
  • 5
    • 67651212147 scopus 로고    scopus 로고
    • Stochastic optimization algorithms for support vector machines classification
    • Bartkutė-Norkūnienė, V. (2009). Stochastic optimization algorithms for support vector machines classification. Informatica, 20(2), 173-186.
    • (2009) Informatica , vol.20 , Issue.2 , pp. 173-186
    • Bartkute-Norkuniene, V.1
  • 7
    • 0026966646 scopus 로고
    • A training algorithm for optimal margin classifiers
    • Boser, B.E., Guyon, I.M., Vapnik, V.N. (1992). A training algorithm for optimal margin classifiers. In: COLT'92, pp. 144-152.
    • (1992) COLT'92 , pp. 144-152
    • Boser, B.E.1    Guyon, I.M.2    Vapnik, V.N.3
  • 8
    • 0036161011 scopus 로고    scopus 로고
    • Choosing multiple parameters for support vector machines
    • DOI 10.1023/A:1012450327387
    • Chapelle, O., Vapnik, V.N., Bousquet, O., Mukherjee, S. (2002). Choosing multiple parameters for support vector machines. Mach. Learn., 46(1), 131-159. (Pubitemid 34129966)
    • (2002) Machine Learning , vol.46 , Issue.1-3 , pp. 131-159
    • Chapelle, O.1    Vapnik, V.2    Bousquet, O.3    Mukherjee, S.4
  • 9
    • 0141430928 scopus 로고    scopus 로고
    • Radius margin bounds for support vector machines with the RBF kernel
    • DOI 10.1162/089976603322385108
    • Chung, K.-M., Kao,W.-C., Sun, C.-L.,Wang, L.-L., Lin, C.-J. (2003). Radius margin bounds for support vector machines with the RBF kernel. Neural Comput., 15(11), 2643-2681. (Pubitemid 37206930)
    • (2003) Neural Computation , vol.15 , Issue.11 , pp. 2643-2681
    • Chung, K.-M.1    Kao, W.-C.2    Sun, C.-L.3    Wang, L.-L.4    Lin, C.-J.5
  • 10
    • 34249753618 scopus 로고
    • Support-vector networks
    • Cortes, C., Vapnik., V.N. (1995). Support-vector networks. Machine Learning, 20(3), 273-297.
    • (1995) Machine Learning , vol.20 , Issue.3 , pp. 273-297
    • Cortes, C.1    Vapnik, V.N.2
  • 11
    • 0010442827 scopus 로고    scopus 로고
    • On the algorithmic implementation of multiclass kernel-based vector machines
    • Crammer, K., Singer, Y. (2001). On the algorithmic implementation of multiclass kernel-based vector machines. Journal of Machine Learning Research, 2, 265-292.
    • (2001) Journal of Machine Learning Research , vol.2 , pp. 265-292
    • Crammer, K.1    Singer, Y.2
  • 12
    • 0033106244 scopus 로고    scopus 로고
    • Evaluation and improvement of multiple sequence methods for protein secondary structure prediction
    • DOI 10.1002/(SICI)1097-0134(19990301)34:4<508::AID-PROT10>3.0.CO;2- 4
    • Cuff, J.A., Barton, G.J., (1999). Evaluation and improvement of multiple sequence methods for protein secondary structure prediction. Proteins: Structure, Function, and Genetics, 34(4), 508-519. (Pubitemid 29129701)
    • (1999) Proteins: Structure, Function and Genetics , vol.34 , Issue.4 , pp. 508-519
    • Cuff, J.A.1    Barton, G.J.2
  • 13
    • 0037382208 scopus 로고    scopus 로고
    • Evaluation of simple performance measures for tuning SVM hyperparameters
    • DOI 10.1016/S0925-2312(02)00601-X, PII S092523120200601X
    • Duan, K., Keerthi, S.S., Poo, A.N. (2003). Evaluation of simple performance measures for tuning SVM hyperparameters. Neurocomputing, 51, 41-59. (Pubitemid 36367224)
    • (2003) Neurocomputing , vol.51 , pp. 41-59
    • Duan, K.1    Keerthi, S.S.2    Poo, A.N.3
  • 15
    • 19044382587 scopus 로고    scopus 로고
    • Round robin classification
    • DOI 10.1162/153244302320884605
    • Fürnkranz, J. (2002). Round robin classification. Journal of Machine Learning Research, 2, 721-747. (Pubitemid 135712579)
    • (2002) Journal of Machine Learning Research , vol.2 , Issue.4 , pp. 721-747
    • Furnkranz, J.1
  • 16
    • 54049090639 scopus 로고    scopus 로고
    • Habilitation à diriger des recherches, Université Nancy 1 (in French)
    • Guermeur, Y. (2007). SVM multiclasses, théorie et applications. Habilitation à diriger des recherches, Université Nancy 1 (in French).
    • (2007) SVM Multiclasses, Théorie et Applications
    • Guermeur, Y.1
  • 17
    • 74549209083 scopus 로고    scopus 로고
    • Sample complexity of classifiers taking values in RQ, application to multi-class SVMs
    • Guermeur, Y. (2010). Sample complexity of classifiers taking values in RQ, application to multi-class SVMs. Communications in Statistics - Theory and Methods, 39(3), 543-557.
    • (2010) Communications in Statistics - Theory and Methods , vol.39 , Issue.3 , pp. 543-557
    • Guermeur, Y.1
  • 18
    • 0036505670 scopus 로고    scopus 로고
    • A comparison of methods for multiclass support vector machines
    • DOI 10.1109/72.991427, PII S1045922702018052
    • Hsu, C.-W., Lin, C.-J. (2002). A comparison of methods for multi-class support vector machines. IEEE Transaction on Neural Networks, 13(2), 415-425. (Pubitemid 34475042)
    • (2002) IEEE Transactions on Neural Networks , vol.13 , Issue.2 , pp. 415-425
    • Hsu, C.-W.1    Lin, C.-J.2
  • 19
    • 0020997912 scopus 로고
    • Dictionary of protein secondary structure: Pattern recognition of hydrogenbonded and geometrical features
    • Kabsch, W., Sander, C. (1983). Dictionary of protein secondary structure: pattern recognition of hydrogenbonded and geometrical features. Biopolymers, 22(12), 2577-2637.
    • (1983) Biopolymers , vol.22 , Issue.12 , pp. 2577-2637
    • Kabsch, W.1    Sander, C.2
  • 20
    • 33746111966 scopus 로고    scopus 로고
    • Characterizing the solution path of multicategory support vector machines
    • Lee, Y., Cui, Z. (2006). Characterizing the solution path of multicategory support vector machines. Statistica Sinica, 16(2), 391-409. (Pubitemid 44085509)
    • (2006) Statistica Sinica , vol.16 , Issue.2 , pp. 391-409
    • Lee, Y.1    Cui, Z.2
  • 21
    • 2142775432 scopus 로고    scopus 로고
    • Multicategory support vector machines: Theory and application to the classification of microarray data and satellite radiance data
    • Lee, Y., Lin, Y., Wahba, G. (2004). Multicategory support vector machines: Theory and application to the classification of microarray data and satellite radiance data. Journal of the American Statistical Association, 99(465), 67-81. (Pubitemid 38545195)
    • (2004) Journal of the American Statistical Association , vol.99 , Issue.465 , pp. 67-81
    • Lee, Y.1    Lin, Y.2    Wahba, G.3
  • 22
    • 0003281852 scopus 로고
    • On estimation of characters obtained in statistical procedure of recognition
    • (in Russian)
    • Luntz, A., Brailovsky, V. (1969). On estimation of characters obtained in statistical procedure of recognition. Technicheskaya Kibernetica, 3 (in Russian).
    • (1969) Technicheskaya Kibernetica , vol.3
    • Luntz, A.1    Brailovsky, V.2
  • 23
    • 67651229638 scopus 로고    scopus 로고
    • On stochastic optimization and statistical learning in reproducing kernel Hilbert spaces by support vector machines (SVM)
    • Norkin, V., Keyzer, M. (2009). On stochastic optimization and statistical learning in reproducing kernel Hilbert spaces by support vector machines (SVM). Informatica, 20(2), 273-292.
    • (2009) Informatica , vol.20 , Issue.2 , pp. 273-292
    • Norkin, V.1    Keyzer, M.2
  • 25
    • 0000788854 scopus 로고
    • The gradient projection method for nonlinear programming. Part I. Linear constraints
    • Rosen, J.B. (1960). The gradient projection method for nonlinear programming. Part I. Linear constraints. Journal of the Society for Industrial and Applied Mathematics, 8(1), 181-217.
    • (1960) Journal of the Society for Industrial and Applied Mathematics , vol.8 , Issue.1 , pp. 181-217
    • Rosen, J.B.1
  • 26
    • 85118436573 scopus 로고
    • Extracting support data for a given task
    • Schölkopf, B., Burges, C., Vapnik, V.N. (1995). Extracting support data for a given task. In: KDD'95, pp. 252-257.
    • (1995) KDD'95 , pp. 252-257
    • Schölkopf, B.1    Burges, C.2    Vapnik, V.N.3
  • 28
    • 34249062309 scopus 로고    scopus 로고
    • On the consistency of multiclass classification methods
    • Tewari, A., Bartlett, P.L. (2007). On the consistency of multiclass classification methods. Journal of Machine Learning Research, 8, 1007-1025. (Pubitemid 46798410)
    • (2007) Journal of Machine Learning Research , vol.8 , pp. 1007-1025
    • Tewari, A.1    Bartlett, P.L.2
  • 32
    • 0034264380 scopus 로고    scopus 로고
    • Bounds on error expectation for support vector machines
    • Vapnik, V.N., Chapelle, O. (2000). Bounds on error expectation for support vector machines. Neural Computation, 12(9), 2013-2036.
    • (2000) Neural Computation , vol.12 , Issue.9 , pp. 2013-2036
    • Vapnik, V.N.1    Chapelle, O.2
  • 34
    • 0003425673 scopus 로고    scopus 로고
    • Multi-class support vector machines
    • Royal Holloway, University of London, Department of Computer Science
    • Weston, J., Watkins, C. (1998). Multi-class support vector machines. Technical Report CSD-TR-98-04, Royal Holloway, University of London, Department of Computer Science.
    • (1998) Technical Report CSD-TR-98-04
    • Weston, J.1    Watkins, C.2
  • 35
    • 0026692226 scopus 로고
    • Stacked generalization
    • Wolpert, D.H. (1992). Stacked Generalization. Neural Networks, 5, 241-259.
    • (1992) Neural Networks , vol.5 , pp. 241-259
    • Wolpert, D.H.1
  • 36
    • 26944483874 scopus 로고    scopus 로고
    • Statistical analysis of some multi-category large margin classification methods
    • Zhang, T. (2004). Statistical analysis of some multi-category large margin classification methods. Journal of Machine Learning Research, 5, 1225-1251.
    • (2004) Journal of Machine Learning Research , vol.5 , pp. 1225-1251
    • Zhang, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.