• DocumentCode
    1168026
  • Title

    The best approximation to C2 functions and its error bounds using regular-center Gaussian networks

  • Author

    Liu, Binfan ; Si, Jennie

  • Author_Institution
    Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA
  • Volume
    5
  • Issue
    5
  • fYear
    1994
  • fDate
    9/1/1994 12:00:00 AM
  • Firstpage
    845
  • Lastpage
    847
  • Abstract
    Gaussian neural networks are considered to approximate any C2 function with support on the unit hypercube Im=[0, 1] m in the sense of best approximation. An upper bound (O(N-2)) of the approximation error is obtained in the present paper for a Gaussian network having Nm hidden neurons with centers defined on a regular mesh in Im
  • Keywords
    error analysis; feedforward neural nets; function approximation; C2 functions; Gaussian neural networks; approximation error; best approximation; error bounds; hidden neurons; regular mesh; regular-center Gaussian networks; unit hypercube; upper bound; Approximation error; Approximation methods; Fourier transforms; Hypercubes; Joining processes;
  • fLanguage
    English
  • Journal_Title
    Neural Networks, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1045-9227
  • Type

    jour

  • DOI
    10.1109/72.317739
  • Filename
    317739
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1168026