Comments on "Bayes statistical behavior and valid generalization of pattern classifying neural networks" [with reply

Abstract

In the above-titled paper (ibid., vol.2, p.471-475, July 1991), the authors claim that neural network classifiers duplicate the decision rule created by the empirical Bayes rule. The commenter states that this statement is, in fact, not generally true and points out an error in the proof. The commenter also shows that the related true statement about the relation between neural and Bayes classifiers is of no practical use. In reply, the authors show that the example that the commenter uses to disprove the equation is misleading. They refute the commenter's second point as well.