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Smooth Hinging Hyperplanes - An Alternative to Neural Nets
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.
1995 (English)Report (Other academic)
Abstract [en]

Recently a novel approach to nonlinear function approximation using hinging hyperplanes, was reported by L. Breiman [3]. In this contribution we have combined smooth hinging hyperplanes and the efficient initialization procedure existing for hinging hyperplanes in [3], with a Gauss-Newton procedure, see [4], to perform the final adjustment of the smooth hinging hyperplanes. This combination uses the property of the hinge functions that makes them effective, namely that there is a simple and computationally efficient method for locating hinges. The result of the hinge finding procedure is then used as an initial value to the Gauss-Newton procedure applied on the smoothed hinges. The smooth hinging hyperplanes and neural networks are related, but the significant problem of choosing initial parameters of neural networks, in this case, is circumvented. Further, the influence of the choice of initial value of the "smoothness parameter" on the final approximating function estimate, is investigated. A recommendation on how to choose an initial value is given.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1995. , 6 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 1750
Keyword [en]
Non-linear black box modeling, Hinging hyperplanes, Neural networks, Function approximation
Keyword [sv]
Cybernetik Informationsteori
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55260ISRN: LiTH-ISY-R-1750OAI: oai:DiVA.org:liu-55260DiVA: diva2:315877
Available from: 2010-04-29 Created: 2010-04-29 Last updated: 2014-09-19Bibliographically approved

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Millnert, Mille

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