Optimal rates for k-NN density and mode estimation

Sanjoy Dasgupta, Samory Kpotufe

Research output: Contribution to journalConference article

16 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)2555-2563
Number of pages9
JournalAdvances in Neural Information Processing Systems
Volume3
Issue numberJanuary
StatePublished - Jan 1 2014
Event28th Annual Conference on Neural Information Processing Systems 2014, NIPS 2014 - Montreal, Canada
Duration: Dec 8 2014Dec 13 2014

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Information Systems
  • Signal Processing

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