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Monotonicity in Bayesian Networks for Computerized Adaptive Testing

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00313230" target="_blank" >RIV/68407700:21340/17:00313230 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985556:_____/17:00476602

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007/978-3-319-61581-3_12" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-319-61581-3_12</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-61581-3_12" target="_blank" >10.1007/978-3-319-61581-3_12</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Monotonicity in Bayesian Networks for Computerized Adaptive Testing

  • Original language description

    Artificial intelligence is present in many modern computer science applications. The question of effectively learning parameters of such models even with small data samples is still very active. It turns out that restricting conditional probabilities of a probabilistic model by monotonicity conditions might be useful in certain situations. Moreover, in some cases, the modeled reality requires these conditions to hold. In this article we focus on monotonicity conditions in Bayesian Network models. We present an algorithm for learning model parameters, which satisfy monotonicity conditions, based on gradient descent optimization. We test the proposed method on two data sets. One set is synthetic and the other is formed by real data collected for computerized adaptive testing. We compare obtained results with the isotonic regression EM method by Masegosa et al. which also learns BN model parameters satisfying monotonicity. A comparison is performed also with the standard unrestricted EM algorithm for BN learning. Obtained experimental results in our experiments clearly justify monotonicity restrictions. As a consequence of monotonicity requirements, resulting models better fit data.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

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

Result continuities

  • Project

    <a href="/en/project/GA16-12010S" target="_blank" >GA16-12010S: Conditional independence structures: combinatorial and optimization methods</a><br>

  • Continuities

    S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Symbolic and Quantitative Approaches to Reasoning with Uncertainty

  • ISBN

    978-3-319-61580-6

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    125-134

  • Publisher name

    Springer, Cham

  • Place of publication

  • Event location

    Lugano

  • Event date

    Jul 10, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article