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Universal consistency of the $k$-NN rule in metric spaces and Nagata dimension. III
arXiv:2512.17058v1 Announce Type: new
Abstract: We prove the last remaining implication allowing to claim the equivalence of the following conditions for a complete separable metric space $X$:
(1) The $k$-nearest neighbour classifier is (weakly) universally consistent in $X$, (2) The strong Lebes…
Abstract: We prove the last remaining implication allowing to claim the equivalence of the following conditions for a complete separable metric space $X$:
(1) The $k$-nearest neighbour classifier is (weakly) universally consistent in $X$, (2) The strong Lebes…