On the Consistency of Multiclass Classification Methods

  • Ambuj Tewari
  • Peter L. Bartlett
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3559)


Binary classification methods can be generalized in many ways to handle multiple classes. It turns out that not all generalizations preserve the nice property of Bayes consistency. We provide a necessary and sufficient condition for consistency which applies to a large class of multiclass classification methods. The approach is illustrated by applying it to some multiclass methods proposed in the literature.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Ambuj Tewari
    • 1
  • Peter L. Bartlett
    • 2
  1. 1.Division of Computer ScienceUniversity of CaliforniaBerkeley
  2. 2.Division of Computer Science and Department of StatisticsUniversity of CaliforniaBerkeley

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