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Volumn 9, Issue 6, 1996, Pages 965-978

Approximating functions by neural networks: A constructive solution in the uniform norm

Author keywords

approximating functions; artificial neural networks; constructive approximation; dynamic neural network architecture; feed forward; uniform norm

Indexed keywords

APPROXIMATION THEORY; BACKPROPAGATION; ERROR ANALYSIS; FUNCTIONS;

EID: 0030220517     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-6080(95)00124-7     Document Type: Article
Times cited : (27)

References (10)
  • 1
    • 0024861871 scopus 로고
    • Approximation by superpositions of a sigmoidal function
    • Cybenko G. Approximation by superpositions of a sigmoidal function. Mathematics of Control Signals and Systems. 2:1989;303-314.
    • (1989) Mathematics of Control Signals and Systems , vol.2 , pp. 303-314
    • Cybenko, G.1
  • 3
    • 0026449851 scopus 로고
    • On learning the derivatives on an unknown mapping with multilaery feedforward networks
    • Gallant A.R., White H. On learning the derivatives on an unknown mapping with multilaery feedforward networks. Neural Networks. 5:1992;129-138.
    • (1992) Neural Networks , vol.5 , pp. 129-138
    • Gallant, A.R.1    White, H.2
  • 4
    • 0024880831 scopus 로고
    • Multilayer feedforward networks are universal approximation
    • Hornik K., Stinchcombe M., White H. Multilayer feedforward networks are universal approximation. Neural Networks. 2:1989;359-366.
    • (1989) Neural Networks , vol.2 , pp. 359-366
    • Hornik, K.1    Stinchcombe, M.2    White, H.3
  • 5
    • 0025627940 scopus 로고
    • Universal approximation of an unknown mapping and its derivatives
    • Hornik K., Stinchcombe M., White H. Universal approximation of an unknown mapping and its derivatives. Neural Networks. 3:1990;551-560.
    • (1990) Neural Networks , vol.3 , pp. 551-560
    • Hornik, K.1    Stinchcombe, M.2    White, H.3
  • 6
    • 0027262895 scopus 로고
    • Multilayer feedforward networks with non-polynomial activation functions can approximate any continuous function
    • Leshno M., Lin V., Pinkus A., Schocken S. Multilayer feedforward networks with non-polynomial activation functions can approximate any continuous function. Neural Networks. 6(3):1993;861-867.
    • (1993) Neural Networks , vol.6 , Issue.3 , pp. 861-867
    • Leshno, M.1    Lin, V.2    Pinkus, A.3    Schocken, S.4
  • 8
  • 10
    • 0003529238 scopus 로고
    • Beyond regression: New tools for prediction and analysis in the behavioral sciences
    • Doctoral Dissertation Harvard University, November.
    • Werbos, P.J. (1974). Beyond regression: New tools for prediction and analysis in the behavioral sciences. Doctoral Dissertation, Appl. Math., Harvard University, November.
    • (1974) Appl. Math.
    • Werbos, P.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.