메뉴 건너뛰기




Volumn 86, Issue 1, 1998, Pages 37-61

Scale-sensitive dimensions and skeleton estimates for classification

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0346398192     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(98)00013-4     Document Type: Article
Times cited : (2)

References (31)
  • 1
    • 0027802035 scopus 로고
    • Scale-sensitive dimensions, uniform convergence, and learnability
    • Technical Report 143-95, DSI, University of Milan, Italy. An extended abstract appeared, IEEE Press, New York
    • N. Alon, S. Ben-David, N. Cesa-Bianchi, D. Haussler, Scale-sensitive dimensions, uniform convergence, and learnability, Technical Report 143-95, DSI, University of Milan, Italy, 1993. An extended abstract appeared in the Proc. 1993 IEEE Symposium on the Foundations of Computer Science, IEEE Press, New York.
    • (1993) Proc. 1993 IEEE Symposium on the Foundations of Computer Science
    • Alon, N.1    Ben-David, S.2    Cesa-Bianchi, N.3    Haussler, D.4
  • 2
    • 0346146246 scopus 로고
    • Function learning from interpolation
    • Department of Systems Engineering, Research School of Information Sciences and Engineering, Australian National University, Canberra, Australia
    • M. Anthony, P.L. Bartlett, Function learning from interpolation, Technical report, Department of Systems Engineering, Research School of Information Sciences and Engineering, Australian National University, Canberra, Australia, 1994.
    • (1994) Technical Report
    • Anthony, M.1    Bartlett, P.L.2
  • 4
    • 0346146247 scopus 로고    scopus 로고
    • The sample complexity of pattern classification with neural networks: The size of the weights is more important than the size of the network
    • to appear
    • P.L. Bartlett, The sample complexity of pattern classification with neural networks: the size of the weights is more important than the size of the network, IEEE Trans. Inform. Theory (1997) to appear.
    • (1997) IEEE Trans. Inform. Theory
    • Bartlett, P.L.1
  • 5
    • 0041982038 scopus 로고    scopus 로고
    • Covering numbers for real-valued function classes
    • Department of Systems Engineering, Research School of Information Sciences and Engineering, Australian National University Canberra, Australia
    • P.L. Bartlett, S.R. Kulkarni, S.E. Posner, Covering numbers for real-valued function classes, Technical Report, Department of Systems Engineering, Research School of Information Sciences and Engineering, Australian National University Canberra, Australia, 1996.
    • (1996) Technical Report
    • Bartlett, P.L.1    Kulkarni, S.R.2    Posner, S.E.3
  • 6
    • 85026505196 scopus 로고
    • More theorems about scale-sensitive dimensions and learning
    • Association for Computing Machinery, New York
    • P.L. Bartlett, P.M. Long, More theorems about scale-sensitive dimensions and learning, in: Proc. 8th Annual Conf. Computational Learning Theory, Association for Computing Machinery, New York, 1995, pp. 392-401.
    • (1995) Proc. 8th Annual Conf. Computational Learning Theory , pp. 392-401
    • Bartlett, P.L.1    Long, P.M.2
  • 7
    • 0030165580 scopus 로고    scopus 로고
    • Fat-shattering and the learnability of real-valued functions
    • P.L. Bartlett, P.M. Long, R.C. Williamson, Fat-shattering and the learnability of real-valued functions, J. Comput. System Sci. 52 (1996) 434-452.
    • (1996) J. Comput. System Sci. , vol.52 , pp. 434-452
    • Bartlett, P.L.1    Long, P.M.2    Williamson, R.C.3
  • 10
    • 0024750852 scopus 로고
    • Learnability and the Vapnik-Chervonenkis dimension
    • A. Blumer, A. Ehrenfeucht, D. Haussler, M.K. Warmuth, Learnability and the Vapnik-Chervonenkis dimension, J. ACM 36 (1989) 929-965.
    • (1989) J. ACM , vol.36 , pp. 929-965
    • Blumer, A.1    Ehrenfeucht, A.2    Haussler, D.3    Warmuth, M.K.4
  • 11
    • 0030128623 scopus 로고    scopus 로고
    • Learning by canonical smooth estimation, Part I: Simultaneous estimation
    • K.L. Buescher, P.R. Kumar, Learning by canonical smooth estimation, Part I: Simultaneous estimation, IEEE Trans. Automat. Control 41 (1996) 545-556.
    • (1996) IEEE Trans. Automat. Control , vol.41 , pp. 545-556
    • Buescher, K.L.1    Kumar, P.R.2
  • 12
    • 0030128525 scopus 로고    scopus 로고
    • Learning by canonical smooth estimation, Part II: Learning and choice of model complexity
    • K.L. Buescher, P.R. Kumar, Learning by canonical smooth estimation, Part II: learning and choice of model complexity, IEEE Trans. Automat. Control 41 (1996) 557-569.
    • (1996) IEEE Trans. Automat. Control , vol.41 , pp. 557-569
    • Buescher, K.L.1    Kumar, P.R.2
  • 14
    • 0029342607 scopus 로고
    • Lower bounds in pattern recognition and learning
    • L. Devroye, G. Lugosi, Lower bounds in pattern recognition and learning, Pattern Recognition 28 (1995) 1011-1018.
    • (1995) Pattern Recognition , vol.28 , pp. 1011-1018
    • Devroye, L.1    Lugosi, G.2
  • 16
    • 0002192516 scopus 로고
    • Decision theoretic generalizations of the PAC model for neural net and other learning applications
    • D. Haussler, Decision theoretic generalizations of the PAC model for neural net and other learning applications, Inform. Comput. 100 (1992) 78-150.
    • (1992) Inform. Comput. , vol.100 , pp. 78-150
    • Haussler, D.1
  • 17
    • 0028460231 scopus 로고
    • Efficient distribution-free learning of probabilistic concepts
    • M. Kearns, R.E. Shapire, Efficient distribution-free learning of probabilistic concepts, J. Comput. Sys. Sci. 48 (1994) 464-497.
    • (1994) J. Comput. Sys. Sci. , vol.48 , pp. 464-497
    • Kearns, M.1    Shapire, R.E.2
  • 19
    • 0001556720 scopus 로고    scopus 로고
    • Efficient agnostic learning of neural networks with bounded fan-in
    • W.S. Lee, P. Bartlett, R.C. Williamson, Efficient agnostic learning of neural networks with bounded fan-in, IEEE Trans. Inform. Theory 42 (1996) 2118-2132.
    • (1996) IEEE Trans. Inform. Theory , vol.42 , pp. 2118-2132
    • Lee, W.S.1    Bartlett, P.2    Williamson, R.C.3
  • 21
    • 0030398632 scopus 로고    scopus 로고
    • A data-dependent skeleton estimate for learning
    • Association for Computing Machinery, New York
    • G. Lugosi, M. Pintér, A data-dependent skeleton estimate for learning, in Proc. 9th Annual ACM Conf. Computational Learning Theory, Association for Computing Machinery, New York, 1996, pp. 51-56.
    • (1996) Proc. 9th Annual ACM Conf. Computational Learning Theory , pp. 51-56
    • Lugosi, G.1    Pintér, M.2
  • 22
    • 0348037945 scopus 로고
    • Ph.D. Thesis, Department of Statistics, Stanford University, Stanford, CA
    • A.B. Nobel, On uniform laws of averages, Ph.D. Thesis, Department of Statistics, Stanford University, Stanford, CA, 1992.
    • (1992) On Uniform Laws of Averages
    • Nobel, A.B.1
  • 25
    • 0001703864 scopus 로고
    • On the density of families of sets
    • N. Sauer, On the density of families of sets, J. Combinatorial Theory Ser. A 13 (1972) 145-147.
    • (1972) J. Combinatorial Theory Ser. A , vol.13 , pp. 145-147
    • Sauer, N.1
  • 28
    • 0001024505 scopus 로고
    • On the uniform convergence of relative frequencies of events to their probabilities
    • V.N. Vapnik, A.Ya. Chervonenkis, On the uniform convergence of relative frequencies of events to their probabilities, Theory Probab. Appl. 16 (1971) 264-280.
    • (1971) Theory Probab. Appl. , vol.16 , pp. 264-280
    • Vapnik, V.N.1    Chervonenkis, A.Ya.2
  • 30
    • 0005071949 scopus 로고
    • German translation: Akademie Verlag, Berlin
    • V.N. Vapnik, A.Ya. Chervonenkis, Theory of Pattern Recognition, Nauka, Moscow, 1974 (in Russian); German translation: Theorie der Zeichenerkennung, Akademie Verlag, Berlin, 1979.
    • (1979) Theorie der Zeichenerkennung
  • 31
    • 0001954668 scopus 로고
    • Necessary and sufficient conditions for the uniform convergence of means to their expectations
    • V.N. Vapnik, A.Ya. Chervonenkis, Necessary and sufficient conditions for the uniform convergence of means to their expectations, Theory Probab. Appl. 26 (1981) 821-832.
    • (1981) Theory Probab. Appl. , vol.26 , pp. 821-832
    • Vapnik, V.N.1    Chervonenkis, A.Ya.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.