Multilevel functional principal component analysis for high-dimensional data

Research output: Contribution to journalArticlepeer-review

Abstract

We propose fast and scalable statistical methods for the analysis of hundreds or thousands of high-dimensional vectors observed at multiple visits. The proposed inferential methods do not require loading the entire dataset at once in the computer memory and instead use only sequential access to data. This allows deployment of our methodology on low-resource computers where computations can be done in minutes on extremely large datasets. Our methods are motivated by and applied to a study where hundreds of subjects were scanned using Magnetic Resonance Imaging (MRI) at two visits roughly five years apart. The original data possess over ten billion measurements. The approach can be applied to any type of study where data can be unfolded into a long vector including densely observed functions and images. Supplemental materials are provided with source code for simulations, some technical details and proofs, and additional imaging results of the brain study.

Original languageEnglish (US)
Pages (from-to)852-873
Number of pages22
JournalJournal of Computational and Graphical Statistics
Volume20
Issue number4
DOIs
StatePublished - Dec 2011

Keywords

  • Brain imaging data
  • MRI
  • Voxel-based morphology

ASJC Scopus subject areas

  • Statistics and Probability
  • Discrete Mathematics and Combinatorics
  • Statistics, Probability and Uncertainty

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