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Entropic vector

The entropic vector or entropic function is a concept arising in information theory. It represents the possible values of Shannon's information entropy that subsets of one set of random variables may take. Understanding which vectors are entropic is a way to represent all possible inequalities between entropies of various subsets. For example, for any…

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Characterizing entropic vectors: the region Γn*

SubmodularConditional mutual informationNicholas PippengerOpen problemVon Neumann entropy
7 related topics

Definition

Joint entropyClosureConvexCone
4 related topics

Entropy and groups

GroupCosetAbelian group
3 related topics

Kolmogorov complexity

Conditional complexityAndrey Kolmogorov
2 related topics

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Characterizing entropic vectors: the region Γn*

Entropy and groups

Kolmogorov complexity

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Entropic vector

Nodes30
Edges29
Triples29
Avg. degree1.93
Density0.066667
Components1

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Entropic vector

Top relations

related to Non-Shannon-type inequalities · 14
Entropic vector → For, Further, Gamma, In, It, Matus, Nicholas Pippenger, Shannon-type, Te Su Han, The, These, Whether, Yeung, Zhang
related to Kolmogorov complexity · 8
Entropic vector → Andrey Kolmogorov, Hammer, In, Kolmogorov, Namely, Shannon, Similarly, The
related to Definition · 3
Entropic vector → For, Here, Shannon's

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displaystyle inequalities entropic variables gamma vectors information random entropy set shannon-type inequality dots vector linear tuple overline subsets complexity example

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SubjectPredicateObjectConfidenceSrc
conditional informationinstance ofOther information-theoretic measures0.80text
mutual informationinstance ofOther information-theoretic measures0.80text
or total correlation can be expressed in terms of joint entropyinstance ofOther information-theoretic measures0.80text
are thus related by the corresponding inequalitiesinstance ofOther information-theoretic measures0.80text
Entropic vectorrelated to DefinitionShannon's0.60section
Entropic vectorrelated to DefinitionFor0.60section
Entropic vectorrelated to DefinitionHere0.60section
Entropic vectorrelated to Kolmogorov complexityKolmogorov0.60section
Entropic vectorrelated to Kolmogorov complexityNamely0.60section
Entropic vectorrelated to Kolmogorov complexityThe0.60section
Entropic vectorrelated to Kolmogorov complexitySimilarly0.60section
Entropic vectorrelated to Kolmogorov complexityAndrey Kolmogorov0.60section

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