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An Efficient BranchandBound Nearest Neighbour Classifier
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algorithm analysis approach assigned asymptotic Bayes error computational consistency convergence covariance covariance matrix Dasarathy data set decision surfaces defined denote density estimates design set distance-weighted distribution dominated convergence theorem editing environments error estimation error rate example expected value fc-NN feature space finite Fukunaga fuzzy Gaussian given hyperplane hypersphere IEEE Trans IEEE Transactions inequality Information Theory k-nearest k-NN rule kernel labeled Lemma linear classifier loss function membership method metric metric space nearest neighbor estimate nearest neighbor rule nearest neighbor searching NN classifier NN error NN risk NN rule nonparametric nonparametric discriminators number of samples observation obtained optimal parameters partitioning Parzen pattern classification Pattern Recognition pattern sets performance probability density function probability of error problem procedure proof prototypes Randolph Field random variables sample set Section shown statistical subset techniques Theorem Theory threshold tion tolerance regions training samples training set vector weighted