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Activity Number: 405 - Student Paper Award and Chambers Statistical Software Award
Type: Topic Contributed
Date/Time: Wednesday, August 5, 2020 : 1:00 PM to 2:50 PM
Sponsor: Section on Statistical Computing
Abstract #309654
Title: A Matrix-Free Method for Exploratory Factor Analysis of High-Dimensional Gaussian Data
Author(s): Fan Dai* and Somak Dutta and Ranjan Maitra
Companies: Iowa State University and Iowa State University and Iowa State University
Keywords: fMRI; Implicitly restarted Lanczos algorithm; L-BFGS-B; Profile likelihood
Abstract:

This paper proposes a novel profile likelihood method for estimating the covariance parameters in the factor analysis of high-dimensional Gaussian datasets with fewer observations than number of variables. An implicitly restarted Lanczos algorithm and a limited-memory quasi-Newton method are implemented to develop a matrix-free framework for likelihood maximization. Simulation results show our method to be substantially faster than the expectation-maximization solution without sacrificing accuracy. Our method is applied to data from suicide attempters, suicide ideators and a control group.


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