FUNCTIONAL FACTOR ANALYSIS FOR PERIODIC REMOTE SENSING DATA

• 成果类型: Article
• 署名作者: Liu, Chong; Ray, Surajit; Hooker, Giles; Friedl, Mark
• 署名单位: Boston University; Cornell University; Cornell University; Boston University
• 刊物名称: ANNALS OF APPLIED STATISTICS
• ISSN/ISSBN: 1932-6157
• DOI: 10.1214/11-AOAS518
• 发表日期: 2012
• 页码: 601-624
• 关键词: principal; regression

摘要

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.