메뉴 건너뛰기




Volumn 72, Issue 1-3, 2008, Pages 23-31

A new information theoretic analysis of sum-of-squared-error kernel clustering

Author keywords

Information theory; K means; Mercer kernels; Parzen windowing; Renyi entropy; Sum of squared error clustering

Indexed keywords

FACE RECOGNITION; FLOW OF SOLIDS; INFORMATION THEORY; LEARNING SYSTEMS; PROBABILITY DENSITY FUNCTION; SUPPORT VECTOR MACHINES;

EID: 55949126917     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2008.03.017     Document Type: Article
Times cited : (35)

References (22)
  • 1
    • 13444297533 scopus 로고    scopus 로고
    • Kernel independent component analysis
    • Bach F., and Jordan M.I. Kernel independent component analysis. J. Mach. Learn. Res. 2 (2003) 121-167
    • (2003) J. Mach. Learn. Res. , vol.2 , pp. 121-167
    • Bach, F.1    Jordan, M.I.2
  • 2
    • 55949106322 scopus 로고    scopus 로고
    • Y. Bengio, P. Vincent, J.-F. Paiement, Spectral Clustering and Kernel PCA are Learning Eigenfunctions, Département d'informatique et recherche opérationelle, université de Montréal, Montréal, Canada, 2003.
    • Y. Bengio, P. Vincent, J.-F. Paiement, Spectral Clustering and Kernel PCA are Learning Eigenfunctions, Département d'informatique et recherche opérationelle, université de Montréal, Montréal, Canada, 2003.
  • 3
    • 34249753618 scopus 로고
    • Support vector networks
    • Cortes C., and Vapnik V. Support vector networks. Mach. Learn. 20 (1995) 273-297
    • (1995) Mach. Learn. , vol.20 , pp. 273-297
    • Cortes, C.1    Vapnik, V.2
  • 5
    • 21744462998 scopus 로고    scopus 로고
    • On bias, variance, 0/1 loss, and the curse-of-dimensionality
    • Friedman J.H. On bias, variance, 0/1 loss, and the curse-of-dimensionality. Data Min. Knowl. Discovery 1 1 (1997) 55-77
    • (1997) Data Min. Knowl. Discovery , vol.1 , Issue.1 , pp. 55-77
    • Friedman, J.H.1
  • 6
    • 0034304404 scopus 로고    scopus 로고
    • Kernel and nonlinear canonical correlation analysis
    • Fyfe C., and Lai P.L. Kernel and nonlinear canonical correlation analysis. Int. J. Neural Syst. 10 (2001) 365-374
    • (2001) Int. J. Neural Syst. , vol.10 , pp. 365-374
    • Fyfe, C.1    Lai, P.L.2
  • 7
    • 0036565280 scopus 로고    scopus 로고
    • Mercer kernel-based clustering in feature space
    • Girolami M. Mercer kernel-based clustering in feature space. IEEE Trans. Neural Networks 13 3 (2002) 780-784
    • (2002) IEEE Trans. Neural Networks , vol.13 , Issue.3 , pp. 780-784
    • Girolami, M.1
  • 8
    • 40649102190 scopus 로고    scopus 로고
    • R. Jenssen, D. Erdogmus, J.C. Principe, T. Eltoft, Information theoretic angle-based spectral clustering: a theoretical analysis and an algorithm, in: Proceedings of International Joint Conference on Neural Networks, Vancouver, Canada, 2006, pp. 4904-4911.
    • R. Jenssen, D. Erdogmus, J.C. Principe, T. Eltoft, Information theoretic angle-based spectral clustering: a theoretical analysis and an algorithm, in: Proceedings of International Joint Conference on Neural Networks, Vancouver, Canada, 2006, pp. 4904-4911.
  • 9
    • 55949099469 scopus 로고    scopus 로고
    • J. MacQueen, Some methods for classification and analysis of multivariate observations, in: Proceedings of Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, pp. 281-297.
    • J. MacQueen, Some methods for classification and analysis of multivariate observations, in: Proceedings of Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley, pp. 281-297.
  • 10
    • 0001500115 scopus 로고
    • Functions of positive and negative type and their connection with the theory of integral equations
    • Mercer J. Functions of positive and negative type and their connection with the theory of integral equations. Philos. Trans. R. Soc. London A (1909) 415-446
    • (1909) Philos. Trans. R. Soc. London , vol.A , pp. 415-446
    • Mercer, J.1
  • 11
    • 0033337021 scopus 로고    scopus 로고
    • S. Mika, G. Rätsch, J. Weston, B. Schölkopf, K.R. Müller, Fisher discriminant analysis with kernels, in: Proceedings of IEEE International Workshop on Neural Networks for Signal Processing, Madison, USA, August 23-25, 1999, pp. 41-48.
    • S. Mika, G. Rätsch, J. Weston, B. Schölkopf, K.R. Müller, Fisher discriminant analysis with kernels, in: Proceedings of IEEE International Workshop on Neural Networks for Signal Processing, Madison, USA, August 23-25, 1999, pp. 41-48.
  • 13
    • 84899013108 scopus 로고    scopus 로고
    • A.Y. Ng, M. Jordan, Y. Weiss, On spectral clustering: analysis and an algorithm, in: Advances in Neural Information Processing Systems, vol. 14, MIT Press, Cambridge MA, 2002, pp. 849-856.
    • A.Y. Ng, M. Jordan, Y. Weiss, On spectral clustering: analysis and an algorithm, in: Advances in Neural Information Processing Systems, vol. 14, MIT Press, Cambridge MA, 2002, pp. 849-856.
  • 14
    • 0000986833 scopus 로고    scopus 로고
    • Information theoretic learning
    • Haykin S. (Ed), Wiley, New York
    • Principe J., Xu D., and Fisher J. Information theoretic learning. In: Haykin S. (Ed). Unsupervised Adaptive Filtering vol. I (2002), Wiley, New York 265-319
    • (2002) Unsupervised Adaptive Filtering , vol.I , pp. 265-319
    • Principe, J.1    Xu, D.2    Fisher, J.3
  • 15
    • 55949118645 scopus 로고    scopus 로고
    • A. Renyi, On measures of entropy and information, in: Fourth Berkeley Symposium on Mathematical Statistics and Probability, 1960, pp. 547-561.
    • A. Renyi, On measures of entropy and information, in: Fourth Berkeley Symposium on Mathematical Statistics and Probability, 1960, pp. 547-561.
  • 17
    • 0347243182 scopus 로고    scopus 로고
    • Nonlinear component analysis as a kernel eigenvalue problem
    • Schölkopf B., Smola A.J., and Müller K.R. Nonlinear component analysis as a kernel eigenvalue problem. Neural Comput. 10 (1998) 1299-1319
    • (1998) Neural Comput. , vol.10 , pp. 1299-1319
    • Schölkopf, B.1    Smola, A.J.2    Müller, K.R.3
  • 21
    • 84899010839 scopus 로고    scopus 로고
    • C. Williams, M. Seeger, Using the Nyström method to speed up kernel machines, in: Advances in Neural Information Processing Systems, vol. 13, MIT Press, Cambridge MA, 2001, pp. 682-688.
    • C. Williams, M. Seeger, Using the Nyström method to speed up kernel machines, in: Advances in Neural Information Processing Systems, vol. 13, MIT Press, Cambridge MA, 2001, pp. 682-688.
  • 22
    • 84898937175 scopus 로고    scopus 로고
    • H. Zha, X. He, C. Ding, H. Simon, M. Gu, Spectral relaxation for K-means clustering, in: Advances in Neural Information Processing Systems, vol. 14, MIT Press, Cambridge MA, 2002, pp. 1057-1064.
    • H. Zha, X. He, C. Ding, H. Simon, M. Gu, Spectral relaxation for K-means clustering, in: Advances in Neural Information Processing Systems, vol. 14, MIT Press, Cambridge MA, 2002, pp. 1057-1064.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.