Moggi Eugenio; Taha Walid; Thunberg Johan: Sound over-approximation of probabilities. In: Acta cybernetica, (24) 3. pp. 269-285. (2020)
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Absztrakt (kivonat)
Safety analysis of high confidence systems requires guaranteed bounds on the probabilities of events of interest. Establishing the correctness of algorithms that aim to compute such bounds is challenging. We address this problem in three steps. First, we use monadic transition systems (MTS) in the category of sets as a framework for modeling discrete time systems. MTS can capture different types of system behaviors, but we focus on a combination of non-deterministic and probabilistic behaviors that often arises when modeling complex systems. Second, we use the category of posets and monotonic maps as a setting to define and compare approximations. In particular, for the MTS of interest, we consider approximations of their configurations based on complete lattices. Third, by restricting to finite lattices, we obtain algorithms that compute over-approximations, i.e., bounds from above within some partial order of approximants, of the system configuration after n steps. Interestingly, finite lattices of “interval probabilities” may fail to accurately approximate configurations that are both non-deterministic and probabilistic, even for deterministic (and continuous) system dynamics. However, better choices of finite lattices are available.
| Mű típusa: | Cikk, tanulmány, mű |
|---|---|
| Rovatcím: | Uncertainty modeling, software verified computing and optimization |
| Befoglaló folyóirat/kiadvány címe: | Acta cybernetica |
| Dátum: | 2020 |
| Kötet: | 24 |
| Szám: | 3 |
| ISSN: | 0324-721X |
| Oldalak: | pp. 269-285 |
| Nyelv: | angol |
| Kiadó: | University of Szeged, Institute of Informatics |
| Kiadás helye: | Szeged |
| Konferencia neve: | Summer Workshop on Interval Methods (11.) (2018) (Rostock) |
| Befoglaló mű URL: | http://acta.bibl.u-szeged.hu/69263/ |
| DOI: | 10.14232/actacyb.24.3.2020.2 |
| Kulcsszavak: | Számítástechnika, Kibernetika |
| Megjegyzések: | Bibliogr.: 285. p. ; összefoglalás angol nyelven |
| Szakterület: | 01. Természettudományok 01. Természettudományok > 01.02. Számítás- és információtudomány |
| Feltöltés dátuma: | 2020. júl. 30. 12:49 |
| Utolsó módosítás: | 2022. jún. 21. 09:44 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/69287 |
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