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Lectures on the Nearest Neighbor Method

  • Gérard Biau
  • Luc Devroye

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. Density estimation

    1. Front Matter
      Pages 1-1
    2. Gérard Biau, Luc Devroye
      Pages 3-11
    3. Gérard Biau, Luc Devroye
      Pages 13-23
    4. Gérard Biau, Luc Devroye
      Pages 25-32
    5. Gérard Biau, Luc Devroye
      Pages 33-42
    6. Gérard Biau, Luc Devroye
      Pages 43-51
    7. Gérard Biau, Luc Devroye
      Pages 53-73
    8. Gérard Biau, Luc Devroye
      Pages 75-91
  3. Regression estimation

    1. Front Matter
      Pages 93-93
    2. Gérard Biau, Luc Devroye
      Pages 95-103
    3. Gérard Biau, Luc Devroye
      Pages 105-110
    4. Gérard Biau, Luc Devroye
      Pages 111-130
    5. Gérard Biau, Luc Devroye
      Pages 131-151
    6. Gérard Biau, Luc Devroye
      Pages 153-164
    7. Gérard Biau, Luc Devroye
      Pages 165-173
    8. Gérard Biau, Luc Devroye
      Pages 175-192
    9. Gérard Biau, Luc Devroye
      Pages 193-210
    10. Gérard Biau, Luc Devroye
      Pages 211-220
  4. Supervised classification

    1. Front Matter
      Pages 221-221
    2. Gérard Biau, Luc Devroye
      Pages 223-231
    3. Gérard Biau, Luc Devroye
      Pages 233-239
    4. Gérard Biau, Luc Devroye
      Pages 241-249
    5. Gérard Biau, Luc Devroye
      Pages 251-277
  5. Back Matter
    Pages 279-290

About this book

Introduction

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).   

Keywords

Density Estimation Nearest Neighbor Method Order Statistics Regression Estimation Stone's Theorem

Authors and affiliations

  • Gérard Biau
    • 1
  • Luc Devroye
    • 2
  1. 1.Universite Pierre et Marie CurieParis Cedex 05France
  2. 2.School of Computer ScienceMcGill UniversityMontrealCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-25388-6
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-25386-2
  • Online ISBN 978-3-319-25388-6
  • Series Print ISSN 2365-5674
  • Series Online ISSN 2365-5682
  • Buy this book on publisher's site
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