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Activity Number: 543
Type: Contributed
Date/Time: Wednesday, August 7, 2013 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Graphics
Abstract - #309175
Title: Dimension Reduction in Functional Data Classification
Author(s): Santiago Velilla*+
Companies: Universidad Carlos III
Keywords: Basis expansions ; Functional data analysis ; Functional dimension-reduction subspaces
Abstract:

A procedure for dimension reduction in discriminant analysis when the data are functions is presented. The basic idea is to generalize the concept of dimension-reduction subspace, introduced in the finite-dimensional case by Li (1991) and Cook (1998), to the situation in which the observations arise from a stochastic process. In applications, a functional dimension-reduction subspace can be approximated by a properly chosen finite-dimensional linear manifold. Examples of application with real data are analyzed.


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