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Measures of Complexity : Festschrift for Alexey Chervonenkis

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Table of Contents

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    Book Overview
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    Chapter 1 Chervonenkis’s Recollections
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    Chapter 2 A Paper that Created Three New Fields: Teoriya Veroyatnosteĭ i Ee Primeneniya 16(2), 1971, pp. 264–279
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    Chapter 3 On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
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    Chapter 4 Sketched History: VC Combinatorics, 1826 up to 1975
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    Chapter 5 Institute of Control Sciences Through the Lens of VC Dimension
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    Chapter 6 VC Dimension, Fat-Shattering Dimension, Rademacher Averages, and Their Applications
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    Chapter 7 Around Kolmogorov Complexity: Basic Notions and Results
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    Chapter 8 Predictive Complexity for Games with Finite Outcome Spaces
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    Chapter 9 Making Vapnik–Chervonenkis Bounds Accurate
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    Chapter 10 Comment: TransductiveTransduction PAC-Bayes Bounds Seen as a Generalization of Vapnik–Chervonenkis Bounds
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    Chapter 11 Comment: The Two Styles of VC Bounds
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    Chapter 12 Rejoinder: Making VC Bounds Accurate
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    Chapter 13 Measures of Complexity in the Theory of Machine Learning
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    Chapter 14 Classes of Functions Related to VC Properties
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    Chapter 15 On Martingale Extensions of Vapnik–Chervonenkis Theory with Applications to Online Learning
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    Chapter 16 Measuring the Capacity of Sets of Functions in the Analysis of ERM
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    Chapter 17 Algorithmic Statistics Revisited
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    Chapter 18 Justifying Information-Geometric Causal Inference
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    Chapter 19 Interpretation of Black-Box Predictive Models
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    Chapter 20 PAC-Bayes Bounds for Supervised Classification
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    Chapter 21 Bounding Embeddings of VC Classes into Maximum Classes
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    Chapter 22 Strongly Consistent Detection for Nonparametric Hypotheses
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    Chapter 23 On the Version Space Compression Set Size and Its Applications
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    Chapter 24 Lower Bounds for Sparse Coding
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    Chapter 25 Robust Algorithms via PAC-Bayes and Laplace Distributions
Attention for Chapter 3: On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
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Chapter title
On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
Chapter number 3
Book title
Measures of Complexity
Published by
Springer International Publishing, September 2015
DOI 10.1007/978-3-319-21852-6_3
Book ISBNs
978-3-31-921851-9, 978-3-31-921852-6
Authors

V. N. Vapnik, A. Ya. Chervonenkis, Vapnik, V. N., Chervonenkis, A. Ya.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 511 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 13 3%
France 3 <1%
Germany 2 <1%
United Kingdom 2 <1%
Spain 2 <1%
Korea, Republic of 1 <1%
Austria 1 <1%
Australia 1 <1%
Brazil 1 <1%
Other 11 2%
Unknown 474 93%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 138 27%
Researcher 76 15%
Student > Master 64 13%
Professor 31 6%
Professor > Associate Professor 27 5%
Other 101 20%
Unknown 74 14%
Readers by discipline Count As %
Computer Science 195 38%
Engineering 74 14%
Mathematics 34 7%
Physics and Astronomy 16 3%
Economics, Econometrics and Finance 11 2%
Other 81 16%
Unknown 100 20%