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Measures of Complexity

Festschrift for Alexey Chervonenkis

  • Vladimir Vovk
  • Harris Papadopoulos
  • Alexander Gammerman

Table of contents

  1. Front Matter
    Pages i-xxxi
  2. History of VC Theory

  3. Reviews of Measures of Complexity

  4. Making VC Bounds More Accurate

  5. Advances in VC Theory

    1. Front Matter
      Pages 167-169
    2. Nikolay Vereshchagin, Alexander Shen
      Pages 235-252
    3. Dominik Janzing, Bastian Steudel, Naji Shajarisales, Bernhard Schölkopf
      Pages 253-265
    4. Vladimir Cherkassky, Sauptik Dhar
      Pages 267-286
    5. Olivier Catoni
      Pages 287-302
    6. J. Hyam Rubinstein, Benjamin I. P. Rubinstein, Peter L. Bartlett
      Pages 303-325
    7. László Györfi, Harro Walk
      Pages 327-339
    8. Ran El-Yaniv, Yair Wiener
      Pages 341-357
    9. Andreas Maurer, Massimiliano Pontil, Luca Baldassarre
      Pages 359-370
    10. Asaf Noy, Koby Crammer
      Pages 371-394
  6. Back Matter
    Pages 395-399

About this book

Introduction

This book brings together historical notes, reviews of research developments, fresh ideas on how to make VC (Vapnik–Chervonenkis) guarantees tighter, and new technical contributions in the areas of machine learning, statistical inference, classification, algorithmic statistics, and pattern recognition.

The contributors are leading scientists in domains such as statistics, mathematics, and theoretical computer science, and the book will be of interest to researchers and graduate students in these domains.

Keywords

Algorithmic statistics Bayesian theory Causal inference Communicaton complexity Computational complexity Kernels Kolmogorov complexity Machine learning Metric entropy Optimization Overfitting Pattern recognition Statistical learning theory Supervised classification Support vector machines (SVMs); VC (Vapnik-Chervonenkis) dimension

Editors and affiliations

  • Vladimir Vovk
    • 1
  • Harris Papadopoulos
    • 2
  • Alexander Gammerman
    • 3
  1. 1.Dept. of Computer ScienceRoyal Holloway, Univ of LondonEghamUnited Kingdom
  2. 2.Frederick UniversityNicosiaCyprus
  3. 3.Dept. of Computer ScienceUniversity of LondonEghamUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-21852-6
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science
  • Print ISBN 978-3-319-21851-9
  • Online ISBN 978-3-319-21852-6
  • Buy this book on publisher's site