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Volumn 17, Issue 1, 2006, Pages 1-9

Effects of kernel function on Nu support vector machines in extreme cases

Author keywords

SVM; Asymptotic properties; Generalization ability; Kernel method; Support vector machine (SVM)

Indexed keywords

ASYMPTOTIC STABILITY; LEARNING SYSTEMS; PERFORMANCE; VECTORS;

EID: 33144475013     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2005.860832     Document Type: Article
Times cited : (25)

References (22)
  • 6
    • 0021518106 scopus 로고
    • "A theory of the learnable"
    • L. G. Valiant, "A theory of the learnable," Commun. ACM, vol. 27, pp. 1134-1142, 1984.
    • (1984) Commun. ACM , vol.27 , pp. 1134-1142
    • Valiant, L.G.1
  • 7
    • 0001024505 scopus 로고
    • "On the uniform convergence of relative frequencies of events to their probabilities"
    • V. N. Vapnik and A. Y. Chervonenkis, "On the uniform convergence of relative frequencies of events to their probabilities," Theory Prob. Applicat., vol. 16, pp. 264-280, 1971.
    • (1971) Theory Prob. Applicat. , vol.16 , pp. 264-280
    • Vapnik, V.N.1    Chervonenkis, A.Y.2
  • 8
    • 0000149970 scopus 로고    scopus 로고
    • "Statistical mechanics of support vector networks"
    • R. Dietrich, M. Opper, and H. Sompolinsky, "Statistical mechanics of support vector networks," Phys. Rev. Lett., vol. 82, no. 14, pp. 2975-2978, 1999.
    • (1999) Phys. Rev. Lett. , vol.82 , Issue.14 , pp. 2975-2978
    • Dietrich, R.1    Opper, M.2    Sompolinsky, H.3
  • 9
    • 0035820749 scopus 로고    scopus 로고
    • "Universal learning curves of support vector machines"
    • M. Opper and R. Urbanczik, "Universal learning curves of support vector machines," Physical Review Letters, vol. 86, no. 19, pp. 4410-4413, 2001.
    • (2001) Physical Review Letters , vol.86 , Issue.19 , pp. 4410-4413
    • Opper, M.1    Urbanczik, R.2
  • 10
    • 2542479177 scopus 로고    scopus 로고
    • "Geometry and learning curves of kernel methods with polynomial kernels"
    • K. Ikeda, "Geometry and learning curves of kernel methods with polynomial kernels," Syst. Comput. Japan, vol. 35, no. 7, pp. 41-48, 2004.
    • (2004) Syst. Comput. Japan , vol.35 , Issue.7 , pp. 41-48
    • Ikeda, K.1
  • 11
    • 3042665660 scopus 로고    scopus 로고
    • "An asymptotic statistical theory of polynomial kernel methods"
    • K. Ikeda, "An asymptotic statistical theory of polynomial kernel methods," Neural Comput., vol. 16, no. 8, pp. 1705-1719, 2004.
    • (2004) Neural Comput. , vol.16 , Issue.8 , pp. 1705-1719
    • Ikeda, K.1
  • 12
    • 19344364266 scopus 로고    scopus 로고
    • "An asymptotic statistical analysis of support vector machines with soft margins"
    • K. Ikeda and T. Aoishi, "An asymptotic statistical analysis of support vector machines with soft margins," Neural Netw., vol. 18, no. 3, pp. 251-259, 2005.
    • (2005) Neural Netw. , vol.18 , Issue.3 , pp. 251-259
    • Ikeda, K.1    Aoishi, T.2
  • 13
    • 0242288807 scopus 로고    scopus 로고
    • "Model selection for support vector machine classification"
    • C. Gold and P. Sollich, "Model selection for support vector machine classification," Neurocomputing, vol. 55, pp. 221-249, 2003.
    • (2003) Neurocomputing , vol.55 , pp. 221-249
    • Gold, C.1    Sollich, P.2
  • 15
    • 0037822222 scopus 로고    scopus 로고
    • "Asymptotic behaviors of support vector machines with gaussian kernel"
    • S. S. Keerthi and C.-J. Lin, "Asymptotic behaviors of support vector machines with gaussian kernel," Neural Comput., vol. 15, no. 7, pp. 1667-1689, 2003.
    • (2003) Neural Comput. , vol.15 , Issue.7 , pp. 1667-1689
    • Keerthi, S.S.1    Lin, C.-J.2
  • 17
    • 25144470140 scopus 로고    scopus 로고
    • "Geometrical properties of nu support vector machines with different norms"
    • K. Ikeda and N. Murata, "Geometrical properties of nu support vector machines with different norms," Neural Comput., vol. 17, no. 11, pp. 2508-2529, 2005.
    • (2005) Neural Comput. , vol.17 , Issue.11 , pp. 2508-2529
    • Ikeda, K.1    Murata, N.2
  • 18
    • 34249753618 scopus 로고
    • "Support vector networks"
    • C. Cortes and V. Vapnik, "Support vector networks," Machine Learning, vol. 20, pp. 273-297, 1995.
    • (1995) Machine Learning , vol.20 , pp. 273-297
    • Cortes, C.1    Vapnik, V.2
  • 21
    • 84898984811 scopus 로고    scopus 로고
    • "A geometric interpretation of nu-SVM classifiers"
    • D. Crisp and C. Burges, "A geometric interpretation of nu-SVM classifiers," Adv. Neural Inform. Processing Syst., vol. 12, pp. 244-250, 2000.
    • (2000) Adv. Neural Inform. Processing Syst. , vol.12 , pp. 244-250
    • Crisp, D.1    Burges, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.