Manifold-constrained regressors in system identification [Elektronisk resurs] / Henrik Ohlsson, Jacob Roll, Lennart Ljung
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Ohlsson, Henrik (författare)
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Roll, Jacob, 1974- (författare)
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Ljung, Lennart, 1946- (författare)
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- Linköpings universitet. Institutionen för systemteknik (utgivare)
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Alternativt namn: ISY
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Alternativt namn: Engelska: Linköping University. Department of Electrical Engineering
- Linköping : Linköping University Electronic Press, 2008
- Engelska 8 s.
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Serie: LiTH-ISY-R, 1400-3902 ; 2859
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Läs hela texten (Sammanfattning och fulltext från Linköping University Electronic Press)
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- 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.
Indexterm och SAB-rubrik
- Manifold System identification
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