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An information diagram is a type of Venn diagram used in information theory to illustrate relationships among Shannon's basic measures of information: entropy, joint entropy, conditional entropy and mutual information. Information diagrams are a useful pedagogical tool for teaching and learning about these basic measures of information. Information diagrams have also been applied to specific problems such as for displaying the information theoretic similarity between sets of ontological terms. * *

Attributes	Values
rdf:type	software yago:Artifact100021939 yago:Creation103129123 yago:Diagram103186399 yago:Drawing103234306 yago:Object100002684 yago:PhysicalEntity100001930 yago:Representation104076846 yago:Whole100003553 yago:WikicatDiagrams
rdfs:label	Information diagram (en)
rdfs:comment	An information diagram is a type of Venn diagram used in information theory to illustrate relationships among Shannon's basic measures of information: entropy, joint entropy, conditional entropy and mutual information. Information diagrams are a useful pedagogical tool for teaching and learning about these basic measures of information. Information diagrams have also been applied to specific problems such as for displaying the information theoretic similarity between sets of ontological terms. * * (en)
foaf:depiction
dcterms:subject	Diagrams Set theory Information theory
Wikipage page ID	18372173 (xsd:integer)
Wikipage revision ID	1062726719 (xsd:integer)
Link from a Wikipage to another Wikipage	Correlated variables Joint entropy Information distance Interaction information Diagrams Conditional entropy Entropy (information theory) Mutual information Conditional mutual information Set theory Information theory Information theory Ontology (information science) Venn diagram Quantities of information Information entropy
sameAs	Information diagram Information diagram Information diagram Information diagram
dbp:wikiPageUsesTemplate	dbt:Mvar dbt:Reflist dbt:Tmath dbt:Settheory-stub
thumbnail	wiki-commons:Special:FilePath/Entropy-mutual-information-relative-entropy-relation-diagram.svg?width=300
has abstract	An information diagram is a type of Venn diagram used in information theory to illustrate relationships among Shannon's basic measures of information: entropy, joint entropy, conditional entropy and mutual information. Information diagrams are a useful pedagogical tool for teaching and learning about these basic measures of information. Information diagrams have also been applied to specific problems such as for displaying the information theoretic similarity between sets of ontological terms. * Venn diagram showing additive and subtractive relationships among various information measures associated with correlated variables X and Y. The area contained by both circles is the joint entropy . The circle on the left (red and violet) is the individual entropy , with the red being the conditional entropy . The circle on the right (blue and violet) is , with the blue being . The violet is the mutual information . * Venn diagram of information theoretic measures for three variables x, y, and z. Each circle represents an individual entropy: is the lower left circle, the lower right, and is the upper circle. The intersections of any two circles represents the mutual information for the two associated variables (e.g. is yellow and gray). The union of any two circles is the joint entropy for the two associated variables (e.g. is everything but green). The joint entropy of all three variables is the union of all three circles. It is partitioned into 7 pieces, red, blue, and green being the conditional entropies respectively, yellow, magenta and cyan being the conditional mutual informations and respectively, and gray being the interaction information . The interaction information is the only one of all that may be negative. (en)
gold:hypernym	Diagram
prov:wasDerivedFrom	wikipedia-en:Information_diagram?oldid=1062726719&ns=0
page length (characters) of wiki page	3339 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Information_diagram
is Link from a Wikipage to another Wikipage of	Information theory and measure theory Entropy diagram Venn diagram
is Wikipage redirect of	Entropy diagram
is foaf:primaryTopic of	wikipedia-en:Information_diagram

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