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An upper bound on the asymptotic error probability on the k-nearest neighbor rule for multiple classes (Corresp.)

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2 Author(s)

If R_{k} , denotes the asymptotic error probability of the k - nearest neighbor rule for M classes and R\ast denotes the Bayes probability of error, then conditions are given that yield R_{k} - R\ast \leq \sqrt {MR{1}/k} .

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IEEE Transactions on Information Theory  (Volume:24 ,  Issue: 4 )