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Activity Number: 499
Type: Invited
Date/Time: Wednesday, August 5, 2009 : 2:00 PM to 3:50 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #302853
Title: FDA for Tree-Structured Data Objects
Author(s): J. Steve Marron*+
Companies: The University of North Carolina at Chapel Hill
Address: Department of Statistics & OR, Chapel Hill, NC, 27599-3260,
Keywords:
Abstract:

The field of FDA has made a lot of progress on the statistical analysis of the variation in a population of curves. A particularly challenging extension of this set of ideas, is to populations of tree-structured objects. Deep challenges arise, which involve a marriage of ideas from statistics, geometry, and numerical analysis, because the space of trees is strongly non-Euclidean in nature. These challenges, together with some first approaches to addressing them, are illustrated using a real data example, where each data point is the tree of blood vessels in one person's brain.

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