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Volumn 17, Issue 4, 1998, Pages 449-457

A note on error bounds for function approximation using nonlinear networks

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; ERRORS; FUNCTIONS; NEURAL NETWORKS; SET THEORY;

EID: 0031624051     PISSN: 0278081X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01201501     Document Type: Article
Times cited : (1)

References (12)
  • 1
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    • Universal approximation bounds for superpositions of a sigmoidal function
    • May
    • A. R. Barron, Universal approximation bounds for superpositions of a sigmoidal function, IEEE Transactions on Information Theory, vol. 39, no. 3, pp. 930-945, May 1993.
    • (1993) IEEE Transactions on Information Theory , vol.39 , Issue.3 , pp. 930-945
    • Barron, A.R.1
  • 3
    • 0024861871 scopus 로고
    • Approximation by superposition of a single function
    • G. Cybenko, Approximation by superposition of a single function, Mathematics of Control, Signals and Systems, vol. 2, pp. 303-314, 1989.
    • (1989) Mathematics of Control, Signals and Systems , vol.2 , pp. 303-314
    • Cybenko, G.1
  • 4
    • 0029717957 scopus 로고    scopus 로고
    • A note on error bounds for approximation in inner product spaces
    • A. T. Dingankar and I. W. Sandberg, A note on error bounds for approximation in inner product spaces, Circuits, Systems, and Signal Processing, vol. 15, no. 4, pp. 519-522, 1996.
    • (1996) Circuits, Systems, and Signal Processing , vol.15 , Issue.4 , pp. 519-522
    • Dingankar, A.T.1    Sandberg, I.W.2
  • 6
    • 0024866495 scopus 로고
    • On the approximate realization of continuous mappings by neural networks
    • K. Funahashi, On the approximate realization of continuous mappings by neural networks, IEEE Transactions on Neural Networks, vol. 2, pp. 183-192, 1989.
    • (1989) IEEE Transactions on Neural Networks , vol.2 , pp. 183-192
    • Funahashi, K.1
  • 8
    • 0000796112 scopus 로고
    • A simple lemma on greedy approximation in Hubert space and convergence, rates for projection pursuit regression and neural network training
    • March
    • L. K. Jones, A simple lemma on greedy approximation in Hubert space and convergence, rates for projection pursuit regression and neural network training. Annals of Statistics, vol. 20, no. 1, pp. 608-613, March 1992.
    • (1992) Annals of Statistics , vol.20 , Issue.1 , pp. 608-613
    • Jones, L.K.1
  • 9
    • 0000358945 scopus 로고
    • Approximation by superposition of sigmoidal and radial basis functions
    • H. N. Mhaskar and C. A. Micchelli, Approximation by superposition of sigmoidal and radial basis functions, Advances in Applied Mathematics, vol. 3, pp. 350-373, 1992.
    • (1992) Advances in Applied Mathematics , vol.3 , pp. 350-373
    • Mhaskar, H.N.1    Micchelli, C.A.2
  • 10
    • 0003345901 scopus 로고
    • Remarques sur un resultat non publié de B. Maurey
    • Ecole Poly. Centre de Math., Palaiseau, France
    • G. Pisier, Remarques sur un resultat non publié de B. Maurey, Sem. d'Analyse Fonctionelle, vol. 1, no. 12, Ecole Poly. Centre de Math., Palaiseau, France, 1980-1981.
    • (1980) Sem. D'Analyse Fonctionelle , vol.1 , Issue.12
    • Pisier, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.