Integrated kernels and their properties

  • Authors:
  • Akira Tanaka;Hideyuki Imai;Mineichi Kudo;Masaaki Miyakoshi

  • Affiliations:
  • Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, N14W9, Kita-ku, Sapporo 060-0814, Japan;Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, N14W9, Kita-ku, Sapporo 060-0814, Japan;Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, N14W9, Kita-ku, Sapporo 060-0814, Japan;Division of Computer Science, Graduate School of Information Science and Technology, Hokkaido University, N14W9, Kita-ku, Sapporo 060-0814, Japan

  • Venue:
  • Pattern Recognition
  • Year:
  • 2007

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Abstract

Kernel machines are widely considered to be powerful tools in various fields of information science. By using a kernel, an unknown target is represented by a function that belongs to a reproducing kernel Hilbert space (RKHS) corresponding to the kernel. The application area is widened by enlarging the RKHS such that it includes a wide class of functions. In this study, we demonstrate a method to perform this by using parameter integration of a parameterized kernel. Some numerical experiments show that the unresolved problem of finding a good parameter can be neglected.