Alexandre dit Sandretto Julien: Confidence-based contractor, propagation and potential clouds for differential equations. In: Acta cybernetica, (25) 1. pp. 49-68. (2021)
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Abstract
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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 2021 |
| Volume: | 25 |
| Number: | 1 |
| ISSN: | 0324-721X |
| Page Range: | pp. 49-68 |
| Language: | English |
| Publisher: | University of Szeged, Institute of Informatics |
| Related URLs: | http://acta.bibl.u-szeged.hu/73050/ |
| DOI: | 10.14232/actacyb.285177 |
| Uncontrolled Keywords: | Intervallumanalízis, Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 67-68. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.02. Computer and information sciences 01. Natural sciences > 01.02. Computer and information sciences > 01.02.01. Computer sciences, information science and bioinformatics |
| Date Deposited: | 2021. Jul. 19. 09:26 |
| Last Modified: | 2021. Jul. 19. 09:26 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73079 |
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