This article explores the universal consistency of the k-NN rule in metric spaces, focusing on Nagata and de Groot dimensions. It discusses tie-breaking strategies, strong consistency, and examples like the Heisenberg group. Theorems by C´erou and Guyader are highlighted, along with results from Assouad and Quentin de Gromard. The content delves into learning rules, metrics, and properties related to Lebesgue–Besicovitch differentiation. Notable examples demonstrate the application of these concepts.
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by Sushma Kumar... at arxiv.org 03-21-2024
https://arxiv.org/pdf/2305.17282.pdfDeeper Inquiries