Approximations of belief functions using compositional models

0546027 - ÚTIA 2022 RIV CH eng C - Konferenční příspěvek (zahraniční konf.)
Jiroušek, Radim - Kratochvíl, Václav
Approximations of belief functions using compositional models.
Symbolic and Quantitative Approaches to Reasoning with Uncertainty. 16th European Conference, ECSQARU 2021 Proceedings. Cham: Springer, 2021 - (Vejnarová, J.; Wilson, N.), s. 354-366. Lecture Notes in Computer Science, 12897. ISBN 978-3-030-86771-3. ISSN 0302-9743.
[ECSQARU 2021 : Symbolic and Quantitative Approaches to Reasoning with Uncertainty. Praha (CZ), 21.09.2021-24.09.2021]
Grant ostatní: GA ČR(CZ) GA19-06569S
Program: GA
Institucionální podpora: RVO:67985556
Klíčová slova: Compositional models * Entropy of belief functions * Decomposable entropy * Heuristics * Optimality criterion
Obor OECD: Applied mathematics
http://library.utia.cas.cz/separaty/2021/MTR/jirousek-0546027.pdf

For applications to practical problems, the paper proposes to use the approximations of belief functions, which simplify their dependence structure. Using an analogy with probability distributions, we represent these approximations in the form of compositional models. As no theoretical apparatus similar to probabilistic information theory exists for belief functions, the problems arise not only in connection with the design of algorithms seeking the optimal approximations but even in connection with a criterion comparing two different approximations. With this respect, the application of the analogy with probability theory fails. Therefore, the paper suggests the employment of simple heuristics easily applicable to real-life problems.
Trvalý link: http://hdl.handle.net/11104/0323626