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Volumn 5, Issue 1, 1996, Pages 137-151

Chebyshev approximation by discrete superposition. Application to neural networks

Author keywords

Algorithm; Constructive; Multivariate; Neural networks; Superposition; Uniform approximation

Indexed keywords


EID: 21344461862     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02124739     Document Type: Article
Times cited : (5)

References (14)
  • 1
    • 0025747581 scopus 로고
    • Approximation theory and feedforward networks
    • E.K. Blum and L.K. Li, Approximation theory and feedforward networks, Neural Networks 4 (1991) 511-515.
    • (1991) Neural Networks , vol.4 , pp. 511-515
    • Blum, E.K.1    Li, L.K.2
  • 3
    • 0024861871 scopus 로고
    • Approximation by superposition of a sigmoidal function
    • G. Cybenko, Approximation by superposition of a sigmoidal function, Math. Control Signals Syst. 2:(1989)303-314.
    • (1989) Math. Control Signals Syst. , vol.2 , pp. 303-314
    • Cybenko, G.1
  • 4
    • 0000253055 scopus 로고
    • Approximate representation of functions of several variables in terms of functions of one variable
    • H.L. Frisch, C. Borzi, G. Ord, J.K. Percus and G.O.Williams, Approximate representation of functions of several variables in terms of functions of one variable, Phys. Rev. Lett. 63(1989)927-929.
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 927-929
    • Frisch, H.L.1    Borzi, C.2    Ord, G.3    Percus, J.K.4    Williams, G.O.5
  • 5
    • 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, Neural Networks 2(1989)183-192.
    • (1989) Neural Networks , vol.2 , pp. 183-192
    • Funahashi, K.1
  • 7
    • 0024880831 scopus 로고
    • Multilayer feedforward networks are universal approximators
    • K. Hornik, M. Stinchcombe and H. White, Multilayer feedforward networks are universal approximators, Neural Networks 2(1989)359-366.
    • (1989) Neural Networks , vol.2 , pp. 359-366
    • Hornik, K.1    Stinchcombe, M.2    White, H.3
  • 8
    • 0002132573 scopus 로고
    • On the representation of continuous funtions of several variables by superposition of continuous functions of one variable and addition
    • A.N. Kolmogorov, On the representation of continuous funtions of several variables by superposition of continuous functions of one variable and addition, Amer. Math. Soc. Transl. 28(1963)55-59.
    • (1963) Amer. Math. Soc. Transl. , vol.28 , pp. 55-59
    • Kolmogorov, A.N.1
  • 9
    • 0026627415 scopus 로고
    • Kolmogorov's theorem and multilayer neural networks
    • V. Kurkova, Kolmogorov's theorem and multilayer neural networks, Neural Networks 5(1992)501-506.
    • (1992) Neural Networks , vol.5 , pp. 501-506
    • Kurkova, V.1
  • 10
    • 0042507805 scopus 로고
    • Metric entropy, width, and superpositions of functions
    • G.G. Lorentz, Metric entropy, width, and superpositions of functions, Amer. Math. Monthly 69(1962)469-485.
    • (1962) Amer. Math. Monthly , vol.69 , pp. 469-485
    • Lorentz, G.G.1
  • 12
    • 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, Adv. Appl. Math. 13(1994)350-373.
    • (1994) Adv. Appl. Math. , vol.13 , pp. 350-373
    • Mhaskar, H.N.1    Micchelli, C.A.2
  • 13
    • 0043101944 scopus 로고
    • Approximative versions of Kolmogorov's superposition theorem, proved contructively
    • M. Nees, Approximative versions of Kolmogorov's superposition theorem, proved contructively, J. Comput. Appl. Math. 54(1994)239-250.
    • (1994) J. Comput. Appl. Math. , vol.54 , pp. 239-250
    • Nees, M.1
  • 14
    • 84968510856 scopus 로고
    • On the structure of continuous functions of serveral variables, Trans
    • D.A. Sprecher, On the structure of continuous functions of serveral variables, Trans. Amer. Math. Soc. 115(1965)340-355.
    • (1965) Amer. Math. Soc. , vol.115 , pp. 340-355
    • Sprecher, D.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.