On the minimum probability of classification error through effective cardinality comparison

  • Jugurta Montalvão Federal University of Sergipe
  • Jânio Canuto Federal University of Sergipe
  • Elyson Carvalho Federal University of Sergipe
Keywords: Entropy through coincidence, Multivariate statistics, Collision entropy, Effective cardinality, Classification error probability.

Abstract

A straightforward ''collision'' (quadratic) entropy estimator is used to give support, in a very pragmatic approach, to data analysis based on the concept of effective cardinality of sets. Thus, by using basic concepts of probability and set theories, a method is proposed to estimate the minimum probability of classification error, in two-class problems, without the deployment of any particular classifier. The usefulness as well as some limitations of the analysis based on effective cardinality are exemplified throughout the text.
Published
03-11-2016
How to Cite
Montalvão, J., Canuto, J., & Carvalho, E. (2016). On the minimum probability of classification error through effective cardinality comparison. Journal of Communication and Information Systems, 31(1). https://doi.org/10.14209/jcis.2016.26
Section
Regular Papers