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Growth function

The growth function, also called the shatter coefficient or the shattering number, measures the richness of a set family or class of functions. It is especially used in the context of statistical learning theory, where it is used to study properties of statistical learning methods. The term 'growth function' was coined by Vapnik and Chervonenkis in their…

Applications, Applications in probability theory & Examples

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Overview

Definitions

Examples

Polynomial or exponential

Other properties

Applications in probability theory

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Map overview Semantic statistics

Growth function

Nodes20
Edges19
Triples6
Avg. degree1.9
Density0.1
Components1

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Growth function

Top relations

related to Hypothesis-class definition · 2
Growth function → Equivalently, The
related to Trivial upper bound · 2
Growth function → For, Therefore
related to Exponential upper bound · 1
Growth function → For
related to Polynomial or exponential · 1
Growth function → The

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Important terminology

displaystyle growth operatorname set function cap contains set-family intersection probability number following elements real family polynomial exponential vc dimension properties

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Growth functionrelated to Exponential upper boundFor0.60section
Growth functionrelated to Hypothesis-class definitionEquivalently0.60section
Growth functionrelated to Hypothesis-class definitionThe0.60section
Growth functionrelated to Polynomial or exponentialThe0.60section
Growth functionrelated to Trivial upper boundFor0.60section
Growth functionrelated to Trivial upper boundTherefore0.60section

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    Min side: 3
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