Enhancing Confusion Entropy (CEN) for binary and multiclass classification.

Journal: PloS one
Published Date:

Abstract

Different performance measures are used to assess the behaviour, and to carry out the comparison, of classifiers in Machine Learning. Many measures have been defined on the literature, and among them, a measure inspired by Shannon's entropy named the Confusion Entropy (CEN). In this work we introduce a new measure, MCEN, by modifying CEN to avoid its unwanted behaviour in the binary case, that disables it as a suitable performance measure in classification. We compare MCEN with CEN and other performance measures, presenting analytical results in some particularly interesting cases, as well as some heuristic computational experimentation.

Authors

  • Rosario Delgado
    Department of Mathematics, Universitat Autònoma de Barcelona, Campus de la UAB, Cerdanyola del Vallès, Spain.
  • J David Núñez-González
    Department of Mathematics, University of the Basque Country (UPV/EHU), Leioa, Spain.