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Activity Number: 106
Type: Invited
Date/Time: Monday, July 30, 2012 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #303804
Title: Analyzing Trees of Functional Data
Author(s): John Aston*+
Companies: University of Warwick
Address: , Coventry, , UK
Keywords: Functional Data Analysis ; Phylogenetics ; Linguistics ; Phonetics

In many applications, particularly those containing phylogenies, the relationships between data can be characterised by a tree. While these methods have been well studied for univariate and multivariate data types, especially in phylogenetics, we consider the problem where the data at each node of the tree is a function. Through the use of basis decompositions, we examine the problems of estimation and inference of functions at other positions in the tree, particularly at the root. This work is applied to linguistic phylogenies where the data at each leaf of the tree is spoken sound samples. Using the technique it is possible to "listen" to sounds from past languages.

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