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Volumn 2375, Issue , 2002, Pages 14-28

Entropy, combinatorial dimensions and random averages

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY;

EID: 34347352140     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/3-540-45435-7_2     Document Type: Conference Paper
Times cited : (7)

References (18)
  • 1
    • 0031176507 scopus 로고    scopus 로고
    • Scale sensitive dimensions, uniform convergence and learnability
    • N. Alon, S. Ben-David, N. Cesa-Bianchi, D. Hausser, Scale sensitive dimensions, uniform convergence and learnability, Journal of the ACM 44 (1997), 615-631.
    • (1997) Journal of the ACM , vol.44 , pp. 615-631
    • Alon, N.1    Ben-David, S.2    Cesa-Bianchi, N.3    Hausser, D.4
  • 3
    • 0032046897 scopus 로고    scopus 로고
    • Prediction, learning, uniform convergence, and scalesensitive dimensions
    • P. Bartlett, P. Long, Prediction, learning, uniform convergence, and scalesensitive dimensions, J. Comput. System Sci. 56 (1998), 174-190.
    • (1998) J. Comput. System Sci. , vol.56 , pp. 174-190
    • Bartlett, P.1    Long, P.2
  • 5
    • 0012799913 scopus 로고
    • Gaussian charachterization of uniform Donsker classes of functions
    • E. Giné, J. Zinn, Gaussian charachterization of uniform Donsker classes of functions, Annals of Probability, 19 (1991), 758-782.
    • (1991) Annals of Probability , vol.19 , pp. 758-782
    • Giné, E.1    Zinn, J.2
  • 6
    • 0000996139 scopus 로고
    • Sphere packing numbers for subsets of Boolean n-cube with bounded Vapnik-Chervonenkis dimension
    • D. Haussler, Sphere packing numbers for subsets of Boolean n-cube with bounded Vapnik-Chervonenkis dimension, Journal of Combinatorial Theory A 69 (1995), 217-232.
    • (1995) Journal of Combinatorial Theory A , vol.69 , pp. 217-232
    • Haussler, D.1
  • 7
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • W. Hoeffding, Probability inequalities for sums of bounded random variables, J. Amer. Statist. Assoc. 58 (1963), 13-30.
    • (1963) J. Amer. Statist. Assoc. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 9
    • 0036160893 scopus 로고    scopus 로고
    • Rademacher averages and phase transitions in Glivenko-Cantelli classes
    • Jan.
    • S. Mendelson, Rademacher averages and phase transitions in Glivenko-Cantelli classes, IEEE transactions on Information Thery, Jan 2002.
    • (2002) IEEE Transactions on Information Thery
    • Mendelson, S.1
  • 15
    • 0002104708 scopus 로고
    • Type, infratype, and Elton-Pajor Theorem
    • M. Talagrand, Type, infratype, and Elton-Pajor Theorem, Inventiones Math. 107 (1992), 41-59.
    • (1992) Inventiones Math. , vol.107 , pp. 41-59
    • Talagrand, M.1
  • 16
    • 0001957366 scopus 로고
    • Sharper bounds for Gaussian and empirical processes
    • M. Talagrand, Sharper bounds for Gaussian and empirical processes, Annals of Probability, 22(1), 28-76, 1994.
    • (1994) Annals of Probability , vol.22 , Issue.1 , pp. 28-76
    • Talagrand, M.1
  • 17
    • 0001954668 scopus 로고
    • Necessary and sufficient conditions for uniform convergence of means to mathematical expectations
    • V. Vapnik, A. Chervonenkis, Necessary and sufficient conditions for uniform convergence of means to mathematical expectations, Theory Prob. Applic. 26(3), 532-553, 1971.
    • (1971) Theory Prob. Applic. , vol.26 , Issue.3 , pp. 532-553
    • Vapnik, V.1    Chervonenkis, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.