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
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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
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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
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EID of the result in the Scopus database
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