Kernel networks with fixed and variable widths

  • Authors:
  • Věra Kůrková;Paul C. Kainen

  • Affiliations:
  • Institute of Computer Science, Academy of Sciences of the Czech Republic;Department of Mathematics, Georgetown University, Washington, D.C.

  • Venue:
  • ICANNGA'11 Proceedings of the 10th international conference on Adaptive and natural computing algorithms - Volume Part I
  • Year:
  • 2011

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Abstract

The role of width in kernel models and radial-basis function networks is investigated with a special emphasis on the Gaussian case. Quantitative bounds are given on kernel-based regularization showing the effect of changing the width. These bounds are shown to be d-th powers of width ratios, and so they are exponential in the dimension of input data.