Local principal curves

Einbeck, J., Tutz, G. and Evers, L. (2005) Local principal curves. Statistics and Computing, 15(4), pp. 301-313. (doi:10.1007/s11222-005-4073-8)

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Abstract

Principal components are a well established tool in dimension reduction. The extension to principal curves allows for general smooth curves which pass through the middle of a multidimensional data cloud. In this paper local principal curves are introduced, which are based on the localization of principal component analysis. The proposed algorithm is able to identify closed curves as well as multiple curveswhich may ormay not be connected. For the evaluation of the performance of principal curves as tool for data reduction a measure of coverage is suggested. By use of simulated and real data sets the approach is compared to various alternative concepts of principal curves.

Item Type:Articles
Additional Information:The original publication is available at www.springerlink.com
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Evers, Dr Ludger
Authors: Einbeck, J., Tutz, G., and Evers, L.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Statistics
Journal Name:Statistics and Computing
Publisher:Springer
ISSN:0960-3174
Copyright Holders:Copyright © 2005 Springer
First Published:First published in Statistics and Computing 15(4):301-313
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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