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A new principal curve algorithm for nonlinear principal component analysis
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Antory, David, Kruger, Uwe and Littler, Tim (2006) A new principal curve algorithm for nonlinear principal component analysis. In: International Conference on Intelligent Computing (ICIC), Kunming, China, 6-19 Aug 2006. Published in: Lecture Notes in Computer Science, Volume 4113 pp. 1235-1246. ISBN 978-3-540-37271-4. ISSN 0302-9743. doi:10.1007/11816157_155
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Official URL: http://dx.doi.org/10.1007/11816157_155
Abstract
This paper summarizes a new concept to determine principal curves for nonlinear principal component analysis (PCA). The concept is explained within the framework of the Hastie and Stuetzle algorithm and utilizes spline functions. The paper proposes a new algorithm and shows that it provides an efficient method to extract underlying information from measured data. The new method is geometrically simple and computationally expedient, as the number of unknown parameters increases linearly with the analyzed variable set. The utility of the algorithm is exemplified in two examples.
| Item Type: | Conference Item (Paper) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group) | ||||
| Series Name: | Lecture Notes in Computer Science | ||||
| Journal or Publication Title: | Lecture Notes in Computer Science | ||||
| Publisher: | Springer | ||||
| ISBN: | 978-3-540-37271-4 | ||||
| ISSN: | 0302-9743 | ||||
| Editor: | Huang, DS and Li, K and Irwin, GW | ||||
| Official Date: | 2006 | ||||
| Dates: |
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| Volume: | Volume 4113 | ||||
| Number of Pages: | 12 | ||||
| Page Range: | pp. 1235-1246 | ||||
| DOI: | 10.1007/11816157_155 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Conference Paper Type: | Paper | ||||
| Title of Event: | International Conference on Intelligent Computing (ICIC) | ||||
| Type of Event: | Conference | ||||
| Location of Event: | Kunming, China | ||||
| Date(s) of Event: | 6-19 Aug 2006 |
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