Characteristic Properties of Equivalent Structures in Compositional Models

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/61384399:31160/11:00038698

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Characteristic Properties of Equivalent Structures in Compositional Models

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Characteristic Properties of Equivalent Structures in Compositional Models

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

International Journal of Approximate Reasoning

ISSN

0888-613X

e-ISSN

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Svazek periodika

52

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

599-612

Kód UT WoS článku

000290426100004

EID výsledku v databázi Scopus

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