Analysis of algebraic expressions derived from genetic multivariate polynomials and support vector machines: a case study

  • Authors:
  • Ángel Kuri-Morales;Iván Mejía-Guevara

  • Affiliations:
  • Departamento de Computación, Instituto Tecnológico Autónomo de México, México D. F.;Posgrado en Ciencia e Ingeniería de la Computación, Universidad Nacional Autónoma de México, IIMAS, México D. F.

  • Venue:
  • CIARP'06 Proceedings of the 11th Iberoamerican conference on Progress in Pattern Recognition, Image Analysis and Applications
  • Year:
  • 2006

Quantified Score

Hi-index 0.00

Visualization

Abstract

We discuss how algebraic explicit expressions modeling a complex phenomenon via an adequate set of data can be derived from the application of Genetic Multivariate Polynomials (GMPs), on the one hand, and Support Vector Machines (SVMs) on the other. A polynomial expression is derived in GMPs in a natural way, whereas in SVMs a polynomial kernel is employed to derive a similar one. In any particular problem an evolutionary determined sample of monomials is required in GMP expressions while, on the other hand, there is a large number of monomials implicit in the SVM approach. We make some experiments to compare the modeling characterization and accuracy obtained from the application of both methods.