Dimension reduction in principal component analysis for trees

The statistical analysis of tree structured data is a new topic in statistics with wide application areas. Some Principal Component Analysis (PCA) ideas have been previously developed for binary tree spaces. These ideas are extended to the more general space of rooted and ordered trees. Concepts such as tree-line and forward principal component tree-line are redefined for this more general space, and the optimal algorithm that finds them is generalized.

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Year of publication:	2014
Authors:	Alfaro, Carlos A. ; Aydın, Burcu ; Valencia, Carlos E. ; Bullitt, Elizabeth ; Ladha, Alim
Published in:	Computational Statistics & Data Analysis. - Elsevier, ISSN 0167-9473. - Vol. 74.2014, C, p. 157-179
Publisher:	Elsevier
Subject:	Object oriented data analysis \| Combinatorial optimization \| Principal component analysis \| Tree-lines \| Tree structured objects \| Dimension reduction

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011056536