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Volumn 9, Issue 5, 1997, Pages 1143-1161

A Bound on the Error of Cross Validation Using the Approximation and Estimation Rates, with Consequences for the Training-Test Split

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EID: 0000900996     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/neco.1997.9.5.1143     Document Type: Article
Times cited : (37)

References (12)
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    • Universal approximation bounds for superpositions of a sigmoidal function
    • Barron, A. (1990). Universal approximation bounds for superpositions of a sigmoidal function. IEEE Transactions on Information Theory 19:930-944.
    • (1990) IEEE Transactions on Information Theory , vol.19 , pp. 930-944
    • Barron, A.1
  • 3
    • 0024053797 scopus 로고
    • Automatic pattern recognition: A study of the probability of error
    • Devroye, L. (1988). Automatic pattern recognition: A study of the probability of error. IEEE Trans. Pattern Anal. Mach. Intell. 10(4)530-543.
    • (1988) IEEE Trans. Pattern Anal. Mach. Intell. , vol.10 , Issue.4 , pp. 530-543
    • Devroye, L.1
  • 7
    • 0022471098 scopus 로고
    • Learning representations by back-propagating errors
    • Rumelhart, D. E., Hinton, G. E., & Williams, R. J. (1986). Learning representations by back-propagating errors. Nature 323:533-536.
    • (1986) Nature , vol.323 , pp. 533-536
    • Rumelhart, D.E.1    Hinton, G.E.2    Williams, R.J.3
  • 8
    • 0000755030 scopus 로고
    • Statistical mechanics of learning from examples
    • Seung, H. S., Sompolinsky, H., & Tishby, N. (1992). Statistical mechanics of learning from examples. Physical Review A 45:6056-6091.
    • (1992) Physical Review A , vol.45 , pp. 6056-6091
    • Seung, H.S.1    Sompolinsky, H.2    Tishby, N.3
  • 9
    • 0000629975 scopus 로고
    • Cross-validatory choice and assessment of statistical predictions
    • Stone, M. (1974). Cross-validatory choice and assessment of statistical predictions. Journal of the Royal Statistical Society B 36:111-147.
    • (1974) Journal of the Royal Statistical Society B , vol.36 , pp. 111-147
    • Stone, M.1
  • 10
    • 0017336301 scopus 로고
    • Asymptotics for and against cross-validation
    • Stone, M. (1977). Asymptotics for and against cross-validation. Biometrika 64(1):29-35.
    • (1977) Biometrika , vol.64 , Issue.1 , pp. 29-35
    • Stone, M.1
  • 12
    • 0001024505 scopus 로고
    • On the uniform convergence of relative frequencies of events to their probabilities
    • Vapnik, V N., & Chervonenkis, A. Y. (1971). On the uniform convergence of relative frequencies of events to their probabilities. Theory of Probability and Its Applications 16(2):264-280.
    • (1971) Theory of Probability and Its Applications , vol.16 , Issue.2 , pp. 264-280
    • Vapnik, V.N.1    Chervonenkis, A.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.