Two Information-Theoretic Tools to Assess the Performance of Multi-Class Classifiers Articles uri icon

publication date

  • September 2010

start page

  • 1665

end page

  • 1671

issue

  • 12

volume

  • 31

International Standard Serial Number (ISSN)

  • 0167-8655

Electronic International Standard Serial Number (EISSN)

  • 1872-7344

abstract

  • We develop two tools to analyze the behavior of multiple-class, or multi-class, classifiers by means of entropic measures on their confusion matrix or contingency table. First we obtain a balance
    equation on the entropies that captures interesting properties of the
    classifier. Second, by normalizing this balance equation we first obtain
    a 2-simplex in a three-dimensional entropy space and then the de
    Finetti entropy diagram or entropy triangle. We also give examples of the assessment of classifiers with these tools.