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Abstract Details

Activity Number: 251
Type: Contributed
Date/Time: Monday, July 30, 2012 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #306655
Title: Functional Factor Analysis for Periodic Remote Sensing Data
Author(s): Chong Liu*+ and Surajit Ray and Giles Hooker and Mark Friedl
Companies: and Boston University and Cornell University and Boston University
Address: Apt 502, Boston, MA, 02215, United States
Keywords: functional data analysis ; principal component ; remote sensing ; factor rotation

We present a new approach to factor rotation for functional data. This is achieved by rotating the functional principal components toward a predefined space of periodic functions designed to decompose the total variation into components that are nearly-periodic and nearly-aperiodic with a predefined period. We show that the factor rotation can be obtained by calculation of canonical correlations between appropriate spaces which make the methodology computationally efficient. Moreover, we demonstrate that our proposed rotations provide stable and interpretable results in the presence of highly complex covariance. This work is motivated by the goal of finding interpretable sources of variability in gridded time series of vegetation index measurements obtained from remote sensing, and we demonstrate our methodology through an application of factor rotation of this data.

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