• DocumentCode
    1677809
  • Title

    Kernelized based functions with Minkovsky´s norm for SVM regression

  • Author

    Ribeiro, B.

  • Author_Institution
    Dept. of Informatics Eng., Coimbra Univ., Portugal
  • Volume
    3
  • fYear
    2002
  • fDate
    6/24/1905 12:00:00 AM
  • Firstpage
    2198
  • Lastpage
    2203
  • Abstract
    Presents an empirical study for support vector machine (SVM) regression using Minkovsky´s norm in a Gaussian kernel function. Due to the encouraging results with RBF kernels, more generalized forms based on some distance measure are suitable to be investigated. The Euclidean distance has a natural generalization in the form of the Minkovsky distance function. The results presented on the approximation of sincos functions as well as on a time series prediction function show that Gaussian kernels with Minkovsky´s distance (α = 3) and (α = 6) evaluated on a 10-k cross validation basis present better generalization accuracy than RBF kernels (α = 2)
  • Keywords
    forecasting theory; function approximation; learning (artificial intelligence); learning automata; statistical analysis; time series; Euclidean distance; Gaussian kernel function; Minkovsky distance function; Minkovsky norm; SVM regression; distance measure; function approximation; kernelized based functions; learning algorithms; support vector machine regression; time series prediction function; Cost function; Equations; Extraterrestrial measurements; Hilbert space; Kernel; Loss measurement; Machine learning; Noise robustness; Radial basis function networks; Support vector machines;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Neural Networks, 2002. IJCNN '02. Proceedings of the 2002 International Joint Conference on
  • Conference_Location
    Honolulu, HI
  • ISSN
    1098-7576
  • Print_ISBN
    0-7803-7278-6
  • Type

    conf

  • DOI
    10.1109/IJCNN.2002.1007482
  • Filename
    1007482