A Principal Component Analysis for Trees

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dc.creatorAydin, Burcu
dc.creatorPataki, Gabor
dc.creatorWang, Haonan
dc.creatorBullitt, Elizabeth
dc.creatorMarron, J. S.
dc.date2008-10-06
dc.date2008-10-07
dc.date.accessioned2026-07-07T10:07:49Z
dc.date.available2026-07-07T10:07:49Z
dc.descriptionThe 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 tree-structured objects. We develop an analog of Principal Component Analysis for trees, based on the notion of tree-lines, and propose numerically fast (linear time) algorithms to solve the resulting optimization problems. The solutions we obtain are used in the analysis of a data set of 73 individuals, where each data object is a tree of blood vessels in one person's brain.
dc.identifierhttps://arxiv.org/abs/0810.0944
dc.identifierhttp://arxiv.org/abs/0810.0944
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170776
dc.subjectStatistics Theory
dc.subjectOptimization and Control
dc.subjectQuantitative Methods
dc.subjectComputation
dc.subject62H99, 62G99, 05C05, 9008
dc.titleA Principal Component Analysis for Trees
dc.typetext

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