Supervised probabilistic classification based on Gaussian copulas

  • Authors:
  • Rogelio Salinas-Gutiérrez;Arturo Hernández-Aguirre;Mariano J. J. Rivera-Meraz;Enrique R. Villa-Diharce

  • Affiliations:
  • Center for Research in Mathematics, Guanajuato, México;Center for Research in Mathematics, Guanajuato, México;Center for Research in Mathematics, Guanajuato, México;Center for Research in Mathematics, Guanajuato, México

  • Venue:
  • MICAI'10 Proceedings of the 9th Mexican international conference on Artificial intelligence conference on Advances in soft computing: Part II
  • Year:
  • 2010

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Abstract

This paper introduces copula functions and the use of the Gaussian copula function to model probabilistic dependencies in supervised classification tasks. A copula is a distribution function with the implicit capacity to model non linear dependencies via concordance measures, such as Kendall's τ. Hence, this work studies the performance of a simple probabilistic classifier based on the Gaussian copula function. Without additional preprocessing of the source data, a supervised pixel classifier is tested with a 50-images benchmark; the experiments show this simple classifier has an excellent performance.