Approximating semi-structured data with different errors using support vector machine regression

  • Authors:
  • A. Crampton;J. C. Mason;D. A. Turner

  • Affiliations:
  • Univ. of Huddersfield, Huddersfield, UK;Univ. of Huddersfield, Huddersfield, UK;Univ. of Huddersfield, Huddersfield, UK

  • Venue:
  • Mathematical Methods for Curves and Surfaces
  • Year:
  • 2001

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Abstract

In this paper we present a new algorithm for approximating data that lie on a set of curved paths by using support vector machine (SVM) regression. The algorithm is designed to exploit the structure inherent in the abscissae, which is done by fitting a tensor-product surface to the data. This allows substantial computational savings to be made. In addition, it is assumed that the measurements made along each curved path may be corrupted by different levels or types of noise. SVM regression is ideally suited to cope with this type of problem, and we show how the algorithm can be modified to overcome any difficulties caused by different types of noise in the data.