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Volumn 27, Issue 1, 2008, Pages 33-74

Approximation in learning theory

Author keywords

Entropy; Learning theory; Nonparametric statistics; Probability distribution estimates; Regression theory

Indexed keywords


EID: 34548525401     PISSN: 01764276     EISSN: 14320940     Source Type: Journal    
DOI: 10.1007/s00365-006-0655-2     Document Type: Article
Times cited : (23)

References (24)
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    • BARRON, A.R.1
  • 3
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    • P. BINEV, A. COHEN, W. DAHMEN, R. DEVORE, V. TEMLYAKOV (2005): Universal algorithms for learning theory. Part I: Piecewise constant functions. J. Mach. Learn. Theory, 6:1297-1321.
    • P. BINEV, A. COHEN, W. DAHMEN, R. DEVORE, V. TEMLYAKOV (2005): Universal algorithms for learning theory. Part I: Piecewise constant functions. J. Mach. Learn. Theory, 6:1297-1321.
  • 4
    • 0000474305 scopus 로고
    • Entropy numbers, s-numbers, and eigenvalue problems
    • B. CARL (1981): Entropy numbers, s-numbers, and eigenvalue problems. J. Funct. Anal., 41:290-306.
    • (1981) J. Funct. Anal , vol.41 , pp. 290-306
    • CARL, B.1
  • 5
    • 0036071370 scopus 로고    scopus 로고
    • On the mathematical foundations of learning
    • F. CUCKER, S. SMALE (2001): On the mathematical foundations of learning. Bull. Amer. Math. Soc, 39:1-49.
    • (2001) Bull. Amer. Math. Soc , vol.39 , pp. 1-49
    • CUCKER, F.1    SMALE, S.2
  • 9
    • 0034419669 scopus 로고    scopus 로고
    • Regularisation networks and support vector machines
    • T. EVGENIOU, M. PONTIL, T. POGGIO (2000): Regularisation networks and support vector machines. Adv. Comput. Math., 13:1-50.
    • (2000) Adv. Comput. Math , vol.13 , pp. 1-50
    • EVGENIOU, T.1    PONTIL, M.2    POGGIO, T.3
  • 11
    • 34548530608 scopus 로고    scopus 로고
    • S. KONYAGIN, V. TEMLYAKOV (2004): Some error estimates in learning theory. In: Approximation Theory. A Dedicated to Borislav Bojanov. Sofia: Marin Drinov Academic, pp. 126-144.
    • S. KONYAGIN, V. TEMLYAKOV (2004): Some error estimates in learning theory. In: Approximation Theory. A Volume Dedicated to Borislav Bojanov. Sofia: Marin Drinov Academic, pp. 126-144.
  • 12
    • 34548536642 scopus 로고    scopus 로고
    • S. KONYAGIN, V. TEMLYAKOV (2004): The entropy in the learning theory. Error estimates. IMI Preprints, 09:1-25.
    • S. KONYAGIN, V. TEMLYAKOV (2004): The entropy in the learning theory. Error estimates. IMI Preprints, 09:1-25.
  • 13
    • 0005375288 scopus 로고    scopus 로고
    • Pattern classification and learning theory
    • Vienna: Springer-Verlag, pp
    • G. LUGOSI (2002): Pattern classification and learning theory. In: Principles of Nonparametric Learning. Vienna: Springer-Verlag, pp. 5-62.
    • (2002) Principles of Nonparametric Learning , pp. 5-62
    • LUGOSI, G.1
  • 16
    • 0242705996 scopus 로고    scopus 로고
    • The mathematics of learning: Dealing with data
    • T. POGGIO, S. SMALE (2003): The mathematics of learning: Dealing with data. Notices Amer. Math. Soc., 50:537-544.
    • (2003) Notices Amer. Math. Soc , vol.50 , pp. 537-544
    • POGGIO, T.1    SMALE, S.2
  • 17
    • 0000820470 scopus 로고    scopus 로고
    • Nonlinear Kolmogorov widths
    • V. N. TEMLYAKOV (1998): Nonlinear Kolmogorov widths. Mat. Zametki, 63:891-902.
    • (1998) Mat. Zametki , vol.63 , pp. 891-902
    • TEMLYAKOV, V.N.1
  • 18
    • 30344456369 scopus 로고    scopus 로고
    • Optimal estimators in learning theory
    • V. N. TEMLYAKOV (2004): Optimal estimators in learning theory. IMI Preprints, 23:1-29.
    • (2004) IMI Preprints , vol.23 , pp. 1-29
    • TEMLYAKOV, V.N.1
  • 19
    • 34548525905 scopus 로고    scopus 로고
    • V. N. TEMLYAKOV (2005): Approximation in learning theory. IMI Preprints, 05:1-42.
    • V. N. TEMLYAKOV (2005): Approximation in learning theory. IMI Preprints, 05:1-42.
  • 20
    • 26244459742 scopus 로고
    • Approximation by elements of a finite-dimensional subspace of functions from various Sobolev or Nikol'skii spaces
    • V. N. TEMLYAKOV (1988): Approximation by elements of a finite-dimensional subspace of functions from various Sobolev or Nikol'skii spaces. Mat. Zametki, 43:770-786. English transl. in Math. Notes, 43:444-454.
    • (1988) Mat. Zametki, 43:770-786. English transl. Math. Notes , vol.43 , pp. 444-454
    • TEMLYAKOV, V.N.1
  • 22
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    • Nonlinear methods of approximation
    • V. N. TEMLYAKOV (2003): Nonlinear methods of approximation. Found. Comput. Math., 3:33-107.
    • (2003) Found. Comput. Math , vol.3 , pp. 33-107
    • TEMLYAKOV, V.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.