Professor Jochen Einbeck jochen.einbeck@durham.ac.uk
Professor
Exploring Multivariate Data Structures with Local Principal Curves
Einbeck, Jochen; Tutz, Gerhard; Evers, Ludger
Authors
Gerhard Tutz
Ludger Evers
Contributors
C. Weihs
Editor
W. Gaul
Editor
Abstract
A new approach to find the underlying structure of a multidimensional data cloud is proposed, which is based on a localized version of principal components analysis. More specifically, we calculate a series of local centers of mass and move through the data in directions given by the first local principal axis. One obtains a smooth ``local principal curve'' passing through the "middle" of a multivariate data cloud. The concept adopts to branched curves by considering the second local principal axis. Since the algorithm is based on a simple eigendecomposition, computation is fast and easy.
Citation
Einbeck, J., Tutz, G., & Evers, L. (2005). Exploring Multivariate Data Structures with Local Principal Curves. In C. Weihs, & W. Gaul (Eds.), Proceedings of the 28th Annual Conference of the Gesellschaft für Klassifikation, 9-11 March 2004, University of Dortmund (256-263)
Conference Name | 28th Annual Conference of the German Classiciation Society. |
---|---|
Conference Location | Magedeburg, Germany |
Publication Date | Jan 1, 2005 |
Deposit Date | Feb 2, 2009 |
Publicly Available Date | Apr 8, 2009 |
Publisher | Springer Verlag |
Pages | 256-263 |
Series Title | Studies in classification data analysis and knowledge organization |
Series Number | 28 |
Book Title | Proceedings of the 28th Annual Conference of the Gesellschaft für Klassifikation, 9-11 March 2004, University of Dortmund. |
Public URL | https://durham-repository.worktribe.com/output/1162294 |
Publisher URL | http://www.springer.com/computer/security+and+cryptology/book/978-3-540-25677-9 |
Files
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Copyright Statement
The original publication is available at www.springerlink.com
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