Dimension reduction in principal component analysis for trees

Carlos A. Alfaro, Burcu Aydın, Carlos E. Valencia, Elizabeth Bullitt and Alim Ladha

Computational Statistics & Data Analysis, 2014, vol. 74, issue C, 157-179

Abstract: 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.

Keywords: Object oriented data analysis; Combinatorial optimization; Principal component analysis; Tree-lines; Tree structured objects; Dimension reduction (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:74:y:2014:i:c:p:157-179

DOI: 10.1016/j.csda.2013.12.007

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