메뉴 건너뛰기




Volumn 2, Issue 3, 2002, Pages 335-358

Machine Learning with Data Dependent Hypothesis Classes

Author keywords

Classification; Computational Learning Theory; Empirical Process Theory; Shatter Coefficient; Structural Risk Minimization

Indexed keywords


EID: 0001161118     PISSN: 15324435     EISSN: None     Source Type: Journal    
DOI: 10.1162/153244302760200650     Document Type: Article
Times cited : (32)

References (30)
  • 3
    • 0347606849 scopus 로고    scopus 로고
    • Model selection and error estimation
    • A shorter version of this paper was apparently presented at COLT 2000
    • P.L. Bartlett, S. Boucheron, and G. Lugosi. Model selection and error estimation. preprint, 2000. (A shorter version of this paper was apparently presented at COLT 2000.).
    • (2000) Preprint
    • Bartlett, P.L.1    Boucheron, S.2    Lugosi, G.3
  • 5
    • 0030128525 scopus 로고    scopus 로고
    • Learning by canonical smooth estimation, part ii: Learning and choice of model complexity
    • K. Buescher and P. Kumar. Learning by canonical smooth estimation, part ii: Learning and choice of model complexity. IEEE Transactions on Automatic Control, 41:557-569, 1996.
    • (1996) IEEE Transactions on Automatic Control , vol.41 , pp. 557-569
    • Buescher, K.1    Kumar, P.2
  • 7
    • 34249753618 scopus 로고
    • Support-vector networks
    • C. Cortes and V. Vapnik. Support-vector networks. Machine Learning, 20:273-297, 1995.
    • (1995) Machine Learning , vol.20 , pp. 273-297
    • Cortes, C.1    Vapnik, V.2
  • 8
    • 84918441630 scopus 로고
    • Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition
    • T. Cover. Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition. IEEE Transactions on Electronic Computers, 14:326-334, 1965.
    • (1965) IEEE Transactions on Electronic Computers , vol.14 , pp. 326-334
    • Cover, T.1
  • 14
    • 0348236737 scopus 로고    scopus 로고
    • A bound concerning the generalization ability of a certain class of learning algorithms
    • University of California, Berkeley
    • Y. Gat. A bound concerning the generalization ability of a certain class of learning algorithms. Technical Report 548, University of California, Berkeley, 1999.
    • (1999) Technical Report , vol.548
    • Gat, Y.1
  • 16
    • 0035478855 scopus 로고    scopus 로고
    • On the vc dimension of bounded margin classifiers
    • D. Hush and C. Scovel. On the vc dimension of bounded margin classifiers. Machine Learning, 45:33-44, 2001.
    • (2001) Machine Learning , vol.45 , pp. 33-44
    • Hush, D.1    Scovel, C.2
  • 18
    • 0035397715 scopus 로고    scopus 로고
    • Rademacher penalties and structural risk minimization
    • V.I. Koltchinskii. Rademacher penalties and structural risk minimization. IEEE Transactions on Information Theory, 47(5):1902-1914, 2001.
    • (2001) IEEE Transactions on Information Theory , vol.47 , Issue.5 , pp. 1902-1914
    • Koltchinskii, V.I.1
  • 20
    • 0037209410 scopus 로고    scopus 로고
    • Characterizing the scale dimension of a high dimensional classification problem
    • forthcoming
    • D.J. Marchette and C.E. Priebe. Characterizing the scale dimension of a high dimensional classification problem. Pattern Recognition, forthcoming.
    • Pattern Recognition
    • Marchette, D.J.1    Priebe, C.E.2
  • 21
    • 0010568432 scopus 로고    scopus 로고
    • On the distribution of the domination number for random class cover catch digraphs
    • C.E. Priebe, J.G. DeVinney, and D.J. Marchette. On the distribution of the domination number for random class cover catch digraphs. Statistics and Probability Letters, 55(3): 239-246, 2001.
    • (2001) Statistics and Probability Letters , vol.55 , Issue.3 , pp. 239-246
    • Priebe, C.E.1    DeVinney, J.G.2    Marchette, D.J.3
  • 22
    • 0038838900 scopus 로고
    • The probability that two samples in the plane have disjoint convex hulls
    • L.C.G. Rogers. The probability that two samples in the plane have disjoint convex hulls. Journal of Applied Probability, 15:790-802, 1978.
    • (1978) Journal of Applied Probability , vol.15 , pp. 790-802
    • Rogers, L.C.G.1
  • 23
    • 84898990165 scopus 로고    scopus 로고
    • The kernel trick for distances
    • Editors: T.K. Leen, T.G. Dietterich, and V. Tresp
    • B. Schölkopf. The kernel trick for distances. Advances in Neural Information Processing Systems, 13:301-307, 2001. Editors: T.K. Leen, T.G. Dietterich, and V. Tresp.
    • (2001) Advances in Neural Information Processing Systems , vol.13 , pp. 301-307
    • Schölkopf, B.1
  • 24
    • 0001899764 scopus 로고
    • Probability inequalities for the sum in sampling without replacement
    • R. J. Serfling. Probability inequalities for the sum in sampling without replacement. Annals of Statistics, 2(1):39-48, 1974.
    • (1974) Annals of Statistics , vol.2 , Issue.1 , pp. 39-48
    • Serfling, R.J.1
  • 26
    • 0032166068 scopus 로고    scopus 로고
    • NC-TR-96-053
    • J. Shawe-Taylor, P.L. Bartlett, R.C. Williamson, and M. Anthony. Structural risk minimization over data-dependent hierarchies. IEEE Transactions on Information Theory, 44(5):1926-1940, 1998. Also appeared in NeuroCOLT Technical Report, NC-TR-96-053, 1996.
    • (1996) NeuroCOLT Technical Report
  • 27
    • 0012097097 scopus 로고    scopus 로고
    • On the generalization of soft margin algorithms
    • NeuroCOLT2 Technical Report Series
    • J. Shawe-Taylor and N. Cristianini. On the generalization of soft margin algorithms. Technical Report NC2-TR-2000-082, NeuroCOLT2 Technical Report Series, 2000.
    • (2000) Technical Report NC2-TR-2000-082
    • Shawe-Taylor, J.1    Cristianini, N.2
  • 28
  • 30
    • 0002361037 scopus 로고
    • Discussion of a set of points in terms of their mutual distances
    • G. Young and A.S. Householder. Discussion of a set of points in terms of their mutual distances. Psychometrika, 3:19-22, 1938.
    • (1938) Psychometrika , vol.3 , pp. 19-22
    • Young, G.1    Householder, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.