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- Johnson, Tomas,1979-Uppsala universitet,Matematiska institutionen (author)
Rigorous parameter reconstruction for differential equations with noisy data
- Article/chapterEnglish2008
Publisher, publication year, extent ...
- Elsevier BV,2008
- printrdacarrier
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- LIBRIS-ID:oai:DiVA.org:uu-103149
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-103149URI
- https://doi.org/10.1016/j.automatica.2008.01.032DOI
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- Language:English
- Summary in:English
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Notes
- We present a method that–given a data set, a finitely parametrized system of ordinary differential equations (ODEs), and a search space of parameters–discards portions of the search space that are inconsistent with the model ODE and data. The method is completely rigorous as it is based on validated integration of the vector field. As a consequence, no consistent parameters can be lost during the pruning phase. For data sets with moderate levels of noise, this yields a good reconstruction of the underlying parameters. Several examples are included to illustrate the merits of the method.
Subject headings and genre
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- Primary: 65G20
- 34A60
- Secondary: 65L09
- rigorous numerics
- parameter estimation
- ordinary differential equations
- interval analysis
- MATHEMATICS
- MATEMATIK
- matematik
- Mathematics
Added entries (persons, corporate bodies, meetings, titles ...)
- Tucker, Warwick,1970-Univ Bergen, Dept Math, N-5008 Bergen, Norway (author)
- Uppsala universitetMatematiska institutionen (creator_code:org_t)
Related titles
- In:Automatica: Elsevier BV44:9, s. 2422-24260005-10981873-2836
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