Venn diagram of information theoretic measures for three variables x, y, and z, represented by the lower left, lower right, and upper circles, respectively. The interaction information is represented by gray region, and it is the only one that can be negative.
The interaction information is a generalization of the mutual information for more than two variables.
There are many names for interaction information, including amount of information,[1]information correlation,[2]co-information,[3] and simply mutual information.[4] Interaction information expresses the amount of information (redundancy or synergy) bound up in a set of variables, beyond that which is present in any subset of those variables. Unlike the mutual information, the interaction information can be either positive or negative. These functions, their negativity and minima have a direct interpretation in algebraic topology.[5]
^Ting, Hu Kuo (January 1962). "On the Amount of Information". Theory of Probability & Its Applications. 7 (4): 439–447. doi:10.1137/1107041. ISSN 0040-585X.
^Wolf, David (May 1, 1996). The Generalization of Mutual Information as the Information between a Set of Variables: The Information Correlation Function Hierarchy and the Information Structure of Multi-Agent Systems (Technical report). NASA Ames Research Center.
^Bell, Anthony (2003). The co-information lattice. 4th Int. Symp. Independent Component Analysis and Blind Source Separation.
^Cite error: The named reference :1 was invoked but never defined (see the help page).
^Baudot, Pierre; Bennequin, Daniel (2015-05-13). "The Homological Nature of Entropy". Entropy. 17 (5): 3253–3318. Bibcode:2015Entrp..17.3253B. doi:10.3390/e17053253. ISSN 1099-4300.
and 25 Related for: Interaction information information
of information, information correlation, co-information, and simply mutual information. Interactioninformation expresses the amount of information (redundancy...
Human-informationinteraction or HII is the formal term for information behavior research in archival science; the term was invented by Nahum Gershon...
engineering field. Interaction design borrows from a wide range of fields like psychology, human-computer interaction, information architecture, and user...
McGill (1954) who called these functions "interactioninformation", and Hu Kuo Ting (1962). Interactioninformation is defined for one variable as follows:...
mutual information and can be proven using the chain rule. The conditional mutual information is used to inductively define the interactioninformation, a...
Parasocial interaction (PSI) refers to a kind of psychological relationship experienced by an audience in their mediated encounters with performers in...
by information theory to the interaction of multiple variables. Information theory can quantify the amount of information a single source variable X 1...
Symbolic interactionism is a sociological theory that develops from practical considerations and alludes to humans' particular use of shared language to...
control in the interaction: one must attempt to control the others' behaviour during the interaction, in order to attain the information one is seeking...
An interaction technique, user interface technique or input technique is a combination of hardware and software elements that provides a way for computer...
knowledge in organizations in addition to the interaction between people, organizations, and any existing information systems with the aim of creating, replacing...
structures of linear logic. An interaction net system is specified by a set of agent types and a set of interaction rules. Interaction nets are an inherently...
Information technology (IT) is a set of related fields that encompass computer systems, software, programming languages, and data and information processing...
In a biological framework, Mizraji has described information as an entity emerging from the interaction of patterns with receptor systems (eg: in molecular...
In ecology, a biological interaction is the effect that a pair of organisms living together in a community have on each other. They can be either of the...
Multimodal interaction provides the user with multiple modes of interacting with a system. A multimodal interface provides several distinct tools for...
respectively, and gray being the interactioninformation I ( x ; y ; z ) {\displaystyle I(x;y;z)} . The interactioninformation is the only one of all that...
graphics Artificial intelligence Human-computer interactionInformation theory Software testing Information assurance Quality assurance Some schools allow...
and machine process information where the physical position of elements in the 3D space is relevant. The 3D space used for interaction can be the real physical...
Human-computer interaction Indexer Informatics Information architecture Information broker Information literacy Information retrieval Information science (outline)...
of interaction design, design thinking, user experience, information architecture, and user interface design. The centerpieces of the Interaction-Design...
disseminating energy information to promote sound policymaking, efficient markets, and public understanding of energy and its interaction with the economy...
Mobile interaction is the study of interaction between mobile users and computers. Mobile interaction is an aspect of human–computer interaction that emerged...
The interaction hypothesis is a theory of second-language acquisition which states that the development of language proficiency is promoted by face-to-face...
Information and communications technology (ICT) is an extensional term for information technology (IT) that stresses the role of unified communications...
Global Information