On the minimum probability of classification error through effective cardinality comparison
Jugurta Montalvão, Jânio Canuto, Elyson Á. N. Carvalho · Journal of Communication and Information Systems · 2016
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.