• DocumentCode
    1708458
  • Title

    Feasibility of random basis function approximators for modeling and control

  • Author

    Tyukin, Ivan Yu ; Prokhorov, Danil V.

  • Author_Institution
    Dept. of Math., Univ. of Leicester, Leicester, UK
  • fYear
    2009
  • Firstpage
    1391
  • Lastpage
    1396
  • Abstract
    We discuss the role of random basis function approximators in modeling and control. We analyze the published work on random basis function approximators and demonstrate that their favorable error rate of convergence O(1/n) is guaranteed only with very substantial computational resources. We also discuss implications of our analysis for applications of neural networks in modeling and control.
  • Keywords
    computational complexity; convergence of numerical methods; function approximation; large-scale systems; computational resources; convergence; favorable error rate; neural network; random basis function approximator; Approximation error; Control system synthesis; Convergence; Error analysis; Gaussian processes; Intelligent control; Intelligent systems; Mathematical model; Neural networks; Radial basis function networks;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4244-4601-8
  • Electronic_ISBN
    978-1-4244-4602-5
  • Type

    conf

  • DOI
    10.1109/CCA.2009.5281061
  • Filename
    5281061