On Identifiability of BN2A Networks

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F23%3A00578481" target="_blank" >RIV/67985556:_____/23:00578481 - isvavai.cz</a>

Alternative codes found

RIV/67985807:_____/23:00579691

Result on the web

<a href="http://dx.doi.org/10.1007/978-3-031-45608-4_11" target="_blank" >http://dx.doi.org/10.1007/978-3-031-45608-4_11</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-031-45608-4_11" target="_blank" >10.1007/978-3-031-45608-4_11</a>

Result language

angličtina

Original language name

On Identifiability of BN2A Networks

Original language description

In this paper, we consider two-layer Bayesian networks. The first layer consists of hidden (unobservable) variables and the second layer consists of observed variables. All variables are assumed to be binary. The variables in the second layer depend on the variables in the first layer. The dependence is characterised by conditional probability tables representing Noisy-AND or simple Noisy-AND. We will refer to this class of models as BN2A models. We found that the models known in the Bayesian network community as Noisy-AND and simple Noisy-AND are also used in the cognitive diagnostic modelling known in the psychometric community under the names of RRUM and DINA, respectively. In this domain, the hidden variables of BN2A models correspond to skills and the observed variables to students’ responses to test questions. In this paper we analyse the identifiability of these models. Identifiability is an important concept because without it we cannot hope to learn correct models. We present necessary conditions for the identifiability of BN2As with Noisy-AND models. We also propose and test a numerical approach for testing identifiability.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

Result was created during the realization of more than one project. More information in the Projects tab.

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

Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2023.

ISBN

978-3-031-45607-7

ISSN

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e-ISSN

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Number of pages

13

Pages from-to

136-148

Publisher name

Springer

Place of publication

Cham

Event location

Arras

Event date

Sep 19, 2023

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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