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Optimal rates for k-NN density and mode estimation

2014-12-01NeurIPS 2014Unverified0· sign in to hype

Sanjoy Dasgupta, Samory Kpotufe

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Abstract

We present two related contributions of independent interest: (1) high-probability finite sample rates for k-NN density estimation, and (2) practical mode estimators -- based on k-NN -- which attain minimax-optimal rates under surprisingly general distributional conditions.

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