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A linear-algebraic tool for conditional independence inference

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00450036" target="_blank" >RIV/67985556:_____/15:00450036 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.18409/jas.v6i2.46" target="_blank" >http://dx.doi.org/10.18409/jas.v6i2.46</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.18409/jas.v6i2.46" target="_blank" >10.18409/jas.v6i2.46</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A linear-algebraic tool for conditional independence inference

  • Original language description

    In this note, we propose a new linear-algebraic method for the implication problem among conditional independence statements, which is inspired by the factorization characterization of conditional independence. First, we give a criterion in the case of adiscrete strictly positive density and relate it to an earlier linear-algebraic approach. Then, we extend the method to the case of a discrete density that need not be strictly positive. Finally, we provide a computational result in the case of six variables.

  • 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

    <a href="/en/project/GA13-20012S" target="_blank" >GA13-20012S: Conditional independence structures: algebraic and geometric methods</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Algebraic Statistics

  • ISSN

    1309-3452

  • e-ISSN

  • Volume of the periodical

    6

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    18

  • Pages from-to

    150-167

  • UT code for WoS article

  • EID of the result in the Scopus database