Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Chervonenkis’s Recollections Read chapter Read first chapter

2015 | OriginalPaper | Chapter

13. Measures of Complexity in the Theory of Machine Learning

Author : Alexey Chervonenkis

Published in: Measures of Complexity

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This text, prepared by the editors, closely follows the abstract (Chervonenkis, Measures of complexity, 2013) and slides of Alexey’s talk at the symposium “Measures of Complexity” (given on Wednesday, October 2, 2013, 2:30–3:20 p.m., in Paphos, Cyprus). (Eds.)

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Rejoinder: Making VC Bounds Accurate
next chapter Classes of Functions Related to VC Properties
Literature
1.
Chervonenkis, A.Y.: On some properties of classes of events for which the conditions for the uniform convergence of the relative frequencies to probabilities fail to hold. Izv. Math. 76(6), 1271–1285 (2012) (Russian original: Известия PAH, Серия математическая)
2.
Chervonenkis, A.Y.: Measures of complexity. In: Papadopoulos, H., Andreou, A.S., Iliadis, L., Maglogiannis, I. (eds.) Artificial Intelligence Applications and Innovations, pp. xvii–xviii. Springer, Heidelberg (2013)
3.
Vapnik, V.N., Chervonenkis, A.Y.: On the uniform convergence of relative frequencies of events to their probabilities. Theory Probab. Appl. 16(2), 264–280 (1971) (This volume, Chap. 3)
4.
Vapnik, V.N., Chervonenkis, A.Y.: Теория распознавания образов: Статистические проблемы обучения (Theory of Pattern Recognition: Statistical Problems of Learning: in Russian). Nauka, Moscow (1974). German translation: Theorie der Zeichenerkennung, transl. K.G. Stöckel and B. Schneider, ed. S. Unger and B. Fritzsch, Akademie Verlag, Berlin (1979)
5.
Vapnik, V.N., Chervonenkis, A.Y.: Necessary and sufficient conditions for the uniform convergence of means to their expectations. Theory Probab. Appl. 26(3), 532–553 (1982) (Russian original: Теория вероятностеЙ и ее применения, 26(3), 543–564 (1981))
6.
Vapnik, V.N., Chervonenkis, A.Y.: Необходимые и достаточные условиясостоятельности метода минимизации эмпирического риска (Necessary and sufficient conditions for consistency of the method of empirical risk minimization, in Russian). In: Распознавание. Классификация. Прогноз (Recognition, Classification, and Forecasting), vol. 2, pp. 207–249. Nauka, Moscow (1989)
Metadata
Title
Measures of Complexity in the Theory of Machine Learning
Author
Alexey Chervonenkis
Copyright Year
2015
Book
Measures of Complexity

Print ISBN: 978-3-319-21851-9

Electronic ISBN: 978-3-319-21852-6

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-21852-6_13

Premium Partner

    Image Credits