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CLASSIFICATION IN GENERAL FINITE DIMENSIONAL SPACES WITH THE NEAREST NEIGHBOR RULE: NECESSARY AND SUFFICIENT CONDITIONS
Given an n-sample of random vectors (Xi, Yi) 1≤i≤n whose joint law is unknown, the long-standing problem of supervised classification aims to optimally predict the label Y of a given new observation X. In this context, the nearest neighbor rule is a popular flexible and intuitive method in non-parametric situations. …