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The uniform convergence of nearest neighbor regression function estimators and their application in optimization

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1 Author(s)

A class of nonparametric regression function estimates generalizing the nearest neighbor estimate of Cover [ 12] is presented. Under various noise conditions, it is shown that the estimates are strongly uniformly consistent. The uniform convergence of the estimates can be exploited to design a simple random search algorithm for the global minimization of the regression function.

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IEEE Transactions on Information Theory  (Volume:24 ,  Issue: 2 )