GENERATIONS IN BAYESIAN NETWORKS
Alexander Litvinenko
litvinenko@uq.rwth-aachen.deChair of Mathematics for Uncertainty Quantification, RWTH Aachen (Germany)
http://orcid.org/0000-0001-5427-3598
Natalya Litvinenko
Institute of Information and Computational Technologies (Kazakhstan)
http://orcid.org/0000-0002-0576-8305
Orken Mamyrbayev
Institute of Information and Computational Technologies (Kazakhstan)
http://orcid.org/0000-0001-8318-3794
Assem Shayakhmetova
Institute of Information and Computational Technologies (Kazakhstan)
http://orcid.org/0000-0002-4072-3671
Abstract
This paper focuses on the study of some aspects of the theory of oriented graphs in Bayesian networks. In some papers on the theory of Bayesian networks, the concept of “Generation of vertices” denotes a certain set of vertices with many parents belonging to previous generations. Terminology for this concept, in our opinion, has not yet fully developed. The concept of “Generation” in some cases makes it easier to solve some problems in Bayesian networks and to build simpler algorithms.
In this paper we will consider the well-known example “Asia”, described in many articles and books, as well as in the technical documentation for various toolboxes. For the construction of this example, we have used evaluation versions of AgenaRisk.
Keywords:
Bayesian networks, AgenaRisk, oriented graphs, vertices generationReferences
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DOI: https://doi.org/10.1007/978-0-387-68282-2
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Authors
Alexander Litvinenkolitvinenko@uq.rwth-aachen.de
Chair of Mathematics for Uncertainty Quantification, RWTH Aachen Germany
http://orcid.org/0000-0001-5427-3598
Authors
Natalya LitvinenkoInstitute of Information and Computational Technologies Kazakhstan
http://orcid.org/0000-0002-0576-8305
Authors
Orken MamyrbayevInstitute of Information and Computational Technologies Kazakhstan
http://orcid.org/0000-0001-8318-3794
Authors
Assem ShayakhmetovaInstitute of Information and Computational Technologies Kazakhstan
http://orcid.org/0000-0002-4072-3671
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