On the relationship between graphical and compositional models for the Dempster-Shafer theory of belief functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F23%3A00573617" target="_blank" >RIV/67985556:_____/23:00573617 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On the relationship between graphical and compositional models for the Dempster-Shafer theory of belief functions
Original language description
This paper studies the relationship between graphical and compositional models representing joint belief functions. In probability theory, the class of Bayesian networks (directed graphical models) is equivalent to compositional models. Such an equivalence does not hold for the Dempster-Shafer belief function theory. We show that each directed graphical belief function model can be represented as a compositional model, but the converse does not hold. As there are two composition operators for belief functions, there are two types of compositional models. In studying their relation to graphical models, they are closely connected. Namely, one is more specific than the other. A precise relationship between these two composition operators is described.
Czech name
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Czech description
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Project
<a href="/en/project/GA21-07494S" target="_blank" >GA21-07494S: Efficiency of Carbon Reduction Policies</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of Machine Learning Research, Volume 215: International Symposium on Imprecise Probability: Theories and Applications,
ISBN
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ISSN
2640-3498
e-ISSN
2640-3498
Number of pages
11
Pages from-to
259-269
Publisher name
PMLR
Place of publication
Almerı́a
Event location
Oviedo
Event date
Jul 11, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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