• DocumentCode
    1810512
  • Title

    A novel support vector machine kernel based on Slepian semi-wavelets

  • Author

    Shen, Xiaoping

  • Author_Institution
    Dept. of Math., Ohio Univ., Athens, OH, USA
  • fYear
    2011
  • fDate
    20-22 July 2011
  • Firstpage
    65
  • Lastpage
    68
  • Abstract
    In this paper, we construct a positive definite kernel associated with Slepian semi-wavelets. The kernel possesses multiscale structure and exhibits a strong localization property. It is convolution type associated with asymptotic sparse Gram matrix and allows the use of thresholding methods. We then focus on developing practical numerical algorithm to compute the kernel. Applications of the kernel in the context of kernel adaptive filtering are discussed.
  • Keywords
    Hilbert spaces; adaptive filters; convolution; sparse matrices; support vector machines; wavelet transforms; Slepian semiwavelets-based support vector machine kernel; asymptotic sparse Gram matrix; kernel adaptive filtering; localization property; multiscale structure; numerical algorithm; positive definite kernel; thresholding methods; Hilbert space; Kernel; Machine learning; Presses; Uncertainty; Wave functions; Wavelet transforms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Aerospace and Electronics Conference (NAECON), Proceedings of the 2011 IEEE National
  • Conference_Location
    Dayton, OH
  • ISSN
    0547-3578
  • Print_ISBN
    978-1-4577-1040-7
  • Type

    conf

  • DOI
    10.1109/NAECON.2011.6183079
  • Filename
    6183079