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Information dimension

In information theory, information dimension is an information measure for random vectors in Euclidean space, based on the normalized entropy of finely quantized versions of the random vectors. This concept was first introduced by Alfréd Rényi in 1959.

Discrete-Continuous Mixture Distributions, Definition and Properties & Dimensional-Rate Bias

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Overview

Definition and Properties

D-Dimensional Entropy

An equivalent definition of Information Dimension

Dimensional-Rate Bias

Discrete-Continuous Mixture Distributions

Connection to Differential Entropy

Lossless data compression

Advanced semantic analysis

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Map overview Semantic statistics

Information dimension

Nodes43
Edges42
Triples17
Avg. degree1.95
Density0.046512
Components1

How this topic connects Entity context

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Information dimension

Top relations

related to Dimensional-Rate Bias · 9
Information dimension → Amini, Charusaie, Formally, Furthermore, Rini, Rényi, The, This, Using
related to d-Dimensional Entropy · 3
Information dimension → For, If, Shannon
related to Connection to Differential Entropy · 2
Information dimension → It, Let
related to Lossless data compression · 2
Information dimension → In, The
is a · 1
Information dimension → information measure for random vectors in Euclidean space

Important terminology Word statistics

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Important terminology

displaystyle information dimension entropy random distribution continuous compression variable probability discrete rate lossless measure rényi differential data leq -dimensional theory

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Information dimensionis ainformation measure for random vectors in Euclidean space0.90text
Information dimensionrelated to Connection to Differential EntropyIt0.60section
Information dimensionrelated to Connection to Differential EntropyLet0.60section
Information dimensionrelated to d-Dimensional EntropyIf0.60section
Information dimensionrelated to d-Dimensional EntropyShannon0.60section
Information dimensionrelated to d-Dimensional EntropyFor0.60section
Information dimensionrelated to Dimensional-Rate BiasUsing0.60section
Information dimensionrelated to Dimensional-Rate BiasRényi0.60section
Information dimensionrelated to Dimensional-Rate BiasCharusaie0.60section
Information dimensionrelated to Dimensional-Rate BiasAmini0.60section
Information dimensionrelated to Dimensional-Rate BiasRini0.60section
Information dimensionrelated to Dimensional-Rate BiasThis0.60section

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    Min side: 3
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