On the Consistency of Multiclass Classification Methods
- Cite this paper as:
- Tewari A., Bartlett P.L. (2005) On the Consistency of Multiclass Classification Methods. In: Auer P., Meir R. (eds) Learning Theory. COLT 2005. Lecture Notes in Computer Science, vol 3559. Springer, Berlin, Heidelberg
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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