Confidence-based contractor, propagation and potential clouds for differential equations

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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