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Volumn 15, Issue 2, 1999, Pages 291-300

On the degree of approximation by manifolds of finite pseudo-dimension

Author keywords

Nonlinear widths; Pseudo dimension; Sobolev class

Indexed keywords


EID: 0033239776     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003659900108     Document Type: Article
Times cited : (46)

References (14)
  • 2
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    • Learnability and the Vapnik-Chervonenkis dimension
    • A. BLUMER, A. EHRENFEUCHT, D. HAUSSLER, M. WARMUTH (1989): Learnability and the Vapnik-Chervonenkis dimension. J. ACM, 36(4):929-965.
    • (1989) J. ACM , vol.36 , Issue.4 , pp. 929-965
    • Blumer, A.1    Ehrenfeucht, A.2    Haussler, D.3    Warmuth, M.4
  • 3
    • 0001990386 scopus 로고    scopus 로고
    • Degree of nonlinear approximation
    • to appear: C. K. Chui, L. L. Schumaker, J. D. Ward, eds.
    • R. A. DEVORE (to appear): Degree of nonlinear approximation. In: Approximation Theory VI. Vol. 1 (C. K. Chui, L. L. Schumaker, J. D. Ward, eds.), pp. 175-201.
    • Approximation Theory VI , vol.1 , pp. 175-201
    • Devore, R.A.1
  • 4
    • 0002192516 scopus 로고
    • Decision theoretic generalizations of the PAC model for neural net and other learning applications
    • D. HAUSSLER (1992): Decision theoretic generalizations of the PAC model for neural net and other learning applications. Inform. Comput., 100(1):78-150.
    • (1992) Inform. Comput. , vol.100 , Issue.1 , pp. 78-150
    • Haussler, D.1
  • 5
    • 0000996139 scopus 로고
    • Sphere packing numbers for subsets of the Boolean n-cube with bounded Vapnik-Chervonenkis dimension
    • D. HAUSSLER (1995): Sphere packing numbers for subsets of the Boolean n-cube with bounded Vapnik-Chervonenkis dimension. J. Combin. Theory, Ser. A, 69:217-232.
    • (1995) J. Combin. Theory, Ser. A , vol.69 , pp. 217-232
    • Haussler, D.1
  • 7
  • 10
    • 0009142588 scopus 로고    scopus 로고
    • On the value of partial information for learning from examples
    • J. RATSABY, V. MAIOROV (1997): On the value of partial information for learning from examples. J. Complexity, 13:509-544.
    • (1997) J. Complexity , vol.13 , pp. 509-544
    • Ratsaby, J.1    Maiorov, V.2
  • 12
    • 0001024505 scopus 로고
    • On the uniform convergence of relative frequencies of events to their probabilities
    • V. N. VAPNIK, A. YA. CHERVONENKIS (1971): On the uniform convergence of relative frequencies of events to their probabilities. Theoret. Prob. Its Appl., 16(2):264-280.
    • (1971) Theoret. Prob. Its Appl. , vol.16 , Issue.2 , pp. 264-280
    • Vapnik, V.N.1    Chervonenkis, A.Ya.2
  • 13
    • 0001954668 scopus 로고
    • Necessary and sufficient conditions for the uniform convergence of means to their expectations
    • V. N. VAPNIK, A. YA. CHERVONENKIS (1981): Necessary and sufficient conditions for the uniform convergence of means to their expectations. Theoret. Prob. Its Appl., 26(3):532-553.
    • (1981) Theoret. Prob. Its Appl. , vol.26 , Issue.3 , pp. 532-553
    • Vapnik, V.N.1    Chervonenkis, A.Ya.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.