Dimension reduction in principal component analysis for trees
نویسندگان
چکیده
منابع مشابه
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 were previously developed for binary tree spaces. In this study, we extend these ideas to the more general space of rooted and labeled trees. We re-define concepts such as tree-line and forward principal component tree-line for this more genera...
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The active field of Functional Data Analysis (about understanding the variation in a set of curves) has been recently extended to Object Oriented Data Analysis, which considers populations of more general objects. A particularly challenging extension of this set of ideas is to populations of treestructured objects. We develop an analog of Principal Component Analysis for trees, based on the not...
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ژورنال
عنوان ژورنال: Computational Statistics & Data Analysis
سال: 2014
ISSN: 0167-9473
DOI: 10.1016/j.csda.2013.12.007