Optimal Piecewise-Linear Approximation Algorithms for Complex Dependencies

  • Authors:
  • E. V. Bauman;A. A. Dorofeyuk;G. V. Kornilov

  • Affiliations:
  • Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia;Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia;Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2004

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Abstract

Methods for fuzzy piecewise-linear approximation based on the general variational approach to data classification analysis are described. The underlying idea is to partition the space of variables (input parameters) into domains in each of which a function (dependence) that is complicated in the whole space is approximated by a linear function.