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Characteristic Properties of Equivalent Structures in Compositional Models

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F11%3A00359927" target="_blank" >RIV/67985556:_____/11:00359927 - isvavai.cz</a>

  • Alternative codes found

    RIV/61384399:31160/11:00038698

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.ijar.2010.12.005" target="_blank" >http://dx.doi.org/10.1016/j.ijar.2010.12.005</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.ijar.2010.12.005" target="_blank" >10.1016/j.ijar.2010.12.005</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Characteristic Properties of Equivalent Structures in Compositional Models

  • Original language description

    Compositional model theory serves as an alternative to Bayesian networks. Every compositional model over a finite non-empty set of variables N is uniquely defined by its generating sequence ? an ordered set of low-dimensional probability distributions. Agenerating sequence structure induces a system of conditional independence statements over N valid for every multidimensional distribution represented by a compositional model with this structure. The equivalence problem is how to characterise whether all independence statements induced by structure P are induced by a second structure P and vice versa. This problem can be solved in several ways. A partial solution of the so-called direct characterisation of an equivalence problem is represented here. We deduce and describe three properties of equivalent structures necessary for equivalence of the respective structures. We call them characteristic properties of classes of equivalent structures.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    International Journal of Approximate Reasoning

  • ISSN

    0888-613X

  • e-ISSN

  • Volume of the periodical

    52

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    15

  • Pages from-to

    599-612

  • UT code for WoS article

    000290426100004

  • EID of the result in the Scopus database