Confidence-based contractor, propagation and potential clouds for differential equations
A novel interval contractor based on the confidence assigned to a random variable is proposed in this paper. It makes possible to consider at the same time an interval in which the quantity is guaranteed to be, and a confidence level to reduce the pessimism induced by interval approach. This contrac...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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University of Szeged, Institute of Informatics
Szeged
2021
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| Sorozat: | Acta cybernetica
25 No. 1 |
| Kulcsszavak: | Intervallumanalízis, Differenciálegyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.285177 |
| Online Access: | http://acta.bibl.u-szeged.hu/73079 |
| LEADER | 01547nab a2200229 i 4500 | ||
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| 001 | acta73079 | ||
| 005 | 20230221090320.0 | ||
| 008 | 210719s2021 hu o 0|| eng d | ||
| 022 | |a 0324-721X | ||
| 024 | 7 | |a 10.14232/actacyb.285177 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 2 | |a Alexandre dit Sandretto Julien | |
| 245 | 1 | 0 | |a Confidence-based contractor, propagation and potential clouds for differential equations |h [elektronikus dokumentum] / |c Alexandre dit Sandretto Julien |
| 260 | |a University of Szeged, Institute of Informatics |b Szeged |c 2021 | ||
| 300 | |a 49-68 | ||
| 490 | 0 | |a Acta cybernetica |v 25 No. 1 | |
| 520 | 3 | |a A novel interval contractor based on the confidence assigned to a random variable is proposed in this paper. It makes possible to consider at the same time an interval in which the quantity is guaranteed to be, and a confidence level to reduce the pessimism induced by interval approach. This contractor consists in computing a confidence region. Using different confidence levels, a particular case of potential cloud can be computed. As application, we propose to compute the reachable set of an ordinary differential equation under the form of a set of confidence regions, with respect to confidence levels on initial value. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Számítás- és információtudomány | |
| 695 | |a Intervallumanalízis, Differenciálegyenlet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73079/1/cybernetica_025_numb_001_049-068.pdf |z Dokumentum-elérés |