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Manifold-Constrained Regressors in System Identification
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2008 (English)Report (Other academic)
Abstract [en]

High-dimensional regression problems are becoming more and more common with emerging technologies. However, in many cases data are constrained to a low dimensional manifold. The information about the output is hence contained in a much lower dimensional space, which can be expressed by an intrinsic description. By first finding the intrinsic description, a low dimensional mapping can be found to give us a two step mapping from regressors to output. In this paper a methodology aimed at manifold-constrained identification problems is proposed. A supervised and a semi-supervised method are presented, where the later makes use of given regressor data lacking associated output values for learning the manifold. As it turns out, the presented methods also carry some interesting properties also when no dimensional reduction is performed.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2008. , 8 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2859
Keyword [en]
Manifold, System identification
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-56176ISRN: LiTH-ISY-R-2859OAI: oai:DiVA.org:liu-56176DiVA: diva2:316996
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-10-01Bibliographically approved

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Ohlsson, HenrikRoll, JacobLjung, Lennart

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
  • rtf