Probabilistic Compositional Models: solution of an equivalence problem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00391079" target="_blank" >RIV/67985556:_____/13:00391079 - isvavai.cz</a>
Alternative codes found
RIV/61384399:31160/13:00042513
Result on the web
<a href="http://dx.doi.org/10.1016/j.ijar.2013.01.002" target="_blank" >http://dx.doi.org/10.1016/j.ijar.2013.01.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijar.2013.01.002" target="_blank" >10.1016/j.ijar.2013.01.002</a>
Alternative languages
Result language
angličtina
Original language name
Probabilistic Compositional Models: solution of an equivalence problem
Original language description
Probabilistic compositional models, similarly to graphical Markov models, are able to represent multidimensional probability distributions using factorization and closely related concept of conditional independence. Compositional models represent an algebraic alternative to the graphical models. The system of related conditional independencies is not encoded explicitly (e.g. using a graph) but it is hidden in a model structure itself. This paper provides answers to the question how to recognize whethertwo different compositional model structures are equivalent - i.e. whether they induce the same system of conditional independencies. Above that, it provides an easy way to convert one structure into an equivalent one in terms of some elementary operations on structures, closely related ability to generate all structures equivalent with a given one, and a unique representative of a class of equivalent structures.
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
2013
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
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Volume of the periodical
54
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
590-601
UT code for WoS article
000317379600002
EID of the result in the Scopus database
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