메뉴 건너뛰기




Volumn 19, Issue 5, 2008, Pages 836-844

Multilayer perceptrons: Approximation order and necessary number of hidden units

Author keywords

Approximation; Multilayer perceptron (MLP); Necessary number of hidden units

Indexed keywords

APPROXIMATION THEORY; NONLINEAR SYSTEMS; POLYNOMIALS;

EID: 44349150545     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2007.912306     Document Type: Article
Times cited : (147)

References (18)
  • 1
    • 0004063090 scopus 로고
    • J. Griffin, Ed. New York: Macmillan
    • S. Haykin, Neural Networks, J. Griffin, Ed. New York: Macmillan, 1994.
    • (1994) Neural Networks
    • Haykin, S.1
  • 3
    • 34547093868 scopus 로고    scopus 로고
    • F. Lewis, J. Huang, T. Parisini, D. Prokhorov, and D. Wunsch, Guest editorial: Special issue on neural networks for feedback control systems, IEEE Trans. Neural Netw., 18, no. pp. 969-972, Jul. 2007.
    • F. Lewis, J. Huang, T. Parisini, D. Prokhorov, and D. Wunsch, "Guest editorial: Special issue on neural networks for feedback control systems," IEEE Trans. Neural Netw., vol. 18, no. pp. 969-972, Jul. 2007.
  • 6
    • 84877479752 scopus 로고
    • Properties of neural networks with applications to modelling non-linear dynamics
    • Sl Billings, H. Jamaluddin, and S. Chen, "Properties of neural networks with applications to modelling non-linear dynamics," Int. J. Control vol. 55, no. 1, pp. 193-224, 1992.
    • (1992) Int. J. Control , vol.55 , Issue.1 , pp. 193-224
    • Billings, S.1    Jamaluddin, H.2    Chen, S.3
  • 7
    • 0043121964 scopus 로고
    • Identifikation nichtlinearer Systeme mit künstlichen neuronalen Netzen
    • O. Otto, "Identifikation nichtlinearer Systeme mit künstlichen neuronalen Netzen," Automatisierungstechnik, vol. 43, no. 2, pp. 62-68, 1995.
    • (1995) Automatisierungstechnik , vol.43 , Issue.2 , pp. 62-68
    • Otto, O.1
  • 8
    • 85011438572 scopus 로고    scopus 로고
    • Approximation theory of the MLP model in neural network
    • A. Pinkus, "Approximation theory of the MLP model in neural network," Acta Numerica, vol. 9, pp. 143-195, 1999.
    • (1999) Acta Numerica , vol.9 , pp. 143-195
    • Pinkus, A.1
  • 9
    • 0001325515 scopus 로고
    • Approximation and estimation bounds ior artificial neural networks
    • A. Barren, "Approximation and estimation bounds ior artificial neural networks," Mach. Learn., vol. 14, p. 115-133, 1994.
    • (1994) Mach. Learn , vol.14 , pp. 115-133
    • Barren, A.1
  • 10
    • 34848872651 scopus 로고    scopus 로고
    • An optimization methodology for neural network weights and architectures
    • Nov
    • T. Ludermir, A. Yamazaki, and C. Zanchettin, "An optimization methodology for neural network weights and architectures," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1452-1459, Nov. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.6 , pp. 1452-1459
    • Ludermir, T.1    Yamazaki, A.2    Zanchettin, C.3
  • 11
    • 37849189858 scopus 로고    scopus 로고
    • Estimating the number ot hidden neurons in a feedforward network using the singular value decomposition
    • Nov
    • E. Tech, K. Tan, and C. Xiang, "Estimating the number ot hidden neurons in a feedforward network using the singular value decomposition," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1623-1629, Nov. 2006.
    • (2006) IEEE Trans. Neural Netw , vol.17 , Issue.6 , pp. 1623-1629
    • Tech, E.1    Tan, K.2    Xiang, C.3
  • 12
    • 44349108478 scopus 로고    scopus 로고
    • A. Pinkus, private, comminucation 2006.
    • A. Pinkus, private, comminucation 2006.
  • 13
    • 1642292870 scopus 로고    scopus 로고
    • Berlin, Germany: Birkhäuser Verlag
    • H. Amann and J. Escher, Analysis II. Berlin, Germany: Birkhäuser Verlag, 1999.
    • (1999) Analysis II
    • Amann, H.1    Escher, J.2
  • 14
    • 1642292870 scopus 로고    scopus 로고
    • Berlin, Germany: Birkhäuser Verlag
    • H. Amann and J. Escher, Analysis I. Berlin, Germany: Birkhäuser Verlag, 1998.
    • (1998) Analysis I
    • Amann, H.1    Escher, J.2
  • 15
    • 0003596534 scopus 로고
    • J. Ewing, F. Gehring, and P. Halmos, Eds. New York: Springer-Verlag
    • H. Sagan, Space-Filling Curves, J. Ewing, F. Gehring, and P. Halmos, Eds. New York: Springer-Verlag, 1994.
    • (1994) Space-Filling Curves
    • Sagan, H.1
  • 16
    • 44349193539 scopus 로고    scopus 로고
    • S. Trenn, Quatitative analysis of neural networks as universal function approximators, M.S. Diplomarbiet, Fakultät für Informatik und Automatisierung, Technishce Universität Ilmenau, Ilmenau, Germany, Sep. 2006.
    • S. Trenn, "Quatitative analysis of neural networks as universal function approximators," M.S. Diplomarbiet, Fakultät für Informatik und Automatisierung, Technishce Universität Ilmenau, Ilmenau, Germany, Sep. 2006.
  • 17
    • 44349107870 scopus 로고    scopus 로고
    • Private communication
    • J. Merker, Private communication 2006.
    • (2006)
    • Merker, J.1
  • 18
    • 0003321363 scopus 로고
    • Manifolds, Tensor Analysis and Applications
    • F. John, J. Marsden, and L. Sirovich, Eds, 2nd ed. New York: Springer-Verlag
    • R. Abraham, J. Marsden, and T. Ratiu, Manifolds, Tensor Analysis and Applications, Ser. Applied Mathematical Sciences no. 75, F. John, J. Marsden, and L. Sirovich, Eds., 2nd ed. New York: Springer-Verlag, 1988.
    • (1988) Ser. Applied Mathematical Sciences , vol.75
    • Abraham, R.1    Marsden, J.2    Ratiu, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.