JSM 2011 Online Program

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Abstract Details

Activity Number: 549
Type: Invited
Date/Time: Wednesday, August 3, 2011 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #300040
Title: Object-Oriented Data Analysis: Trees as Data
Author(s): Steve Marron*+
Companies: The University of North Carolina
Address: Department of Statistics, Chapel Hill, NC, 27516,
Keywords:
Abstract:

The relatively new field of OODA has made a lot of progress during the recent SAMSI program. A particularly challenging aspect of this viewpoint, is populations of tree-structured objects. Deep challenges arose, 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 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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