Polynomial Theory of Complex Systems

  title={Polynomial Theory of Complex Systems},
  author={A. G. Ivakhnenko},
  journal={IEEE Trans. Syst. Man Cybern.},
  • A. G. Ivakhnenko
  • Published 1 October 1971
  • Computer Science
  • IEEE Trans. Syst. Man Cybern.
A complex multidimensional decision hypersurface can be approximated by a set of polynomials in the input signals (properties) which contain information about the hypersurface of interest. The hypersurface is usually described by a number of experimental (vector) points and simple functions of their coordinates. The approach taken in this paper to approximating the decision hypersurface, and hence the input-output relationship of a complex system, is to fit a high-degree multinomial to the… 

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