Exact upper and lower bounds on the misclassification probability

12/03/2017

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by   Iosif Pinelis, et al.

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Exact lower and upper bounds on the best possible misclassification probability for a finite number of classes are obtained in terms of the total variation norms of the differences between the sub-distributions over the classes. These bounds are compared with the exact bounds in terms of the conditional entropy obtained by Feder and Merhav.