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Lectures on the Nearest Neighbor Method

  • Book
  • © 2015

Overview

  • Presents a rigorous overview of nearest neighbor methods
  • Many different components covered: statistical, probabilistic, combinatorial, and geometric ideas
  • Extensive appendix material provided

Part of the book series: Springer Series in the Data Sciences (SSDS)

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Table of contents (20 chapters)

  1. Density estimation

  2. Regression estimation

  3. Supervised classification

Keywords

About this book

This text presents a wide-ranging and rigorous overview of nearest neighbor methods, one of the most important paradigms in machine learning. Now in one self-contained volume, this book systematically covers key statistical, probabilistic, combinatorial and geometric ideas for understanding, analyzing and developing nearest neighbor methods.

Gérard Biau is a professor at Université Pierre et Marie Curie (Paris). Luc Devroye is a professor at the School of Computer Science at McGill University (Montreal).   

Reviews

“This book deals with different aspects regarding this approach, starting with the standard k-nearest neighbor model, and passing through the weighted k-nearest neighbor model, estimations for entropy, regression functions etc. … It is intended for a large audience, including students, teachers, and researchers.” (Florin Gorunescu, zbMATH 1330.68001, 2016)

   

Authors and Affiliations

  • Universite Pierre et Marie Curie, Paris Cedex 05, France

    Gérard Biau

  • School of Computer Science, McGill University, Montreal, Canada

    Luc Devroye

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