Manifold-Constrained Regressors in System Identification
2008 (English)In: Proceedings of the 47th IEEE Conference on Decision and Control, 2008, 1364-1369 p.Conference paper (Refereed)
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
2008. 1364-1369 p.
Manifold, System identification
National CategoryEngineering and Technology Control Engineering
IdentifiersURN: urn:nbn:se:liu:diva-44637DOI: 10.1109/CDC.2008.4739302Local ID: 77218ISBN: 978-1-4244-3124-3ISBN: 978-1-4244-3123-6OAI: oai:DiVA.org:liu-44637DiVA: diva2:265499
47th IEEE Conference on Decisino and Control, Cancun, Mexico, December, 2008