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December 2020 Region-referenced spectral power dynamics of EEG signals: A hierarchical modeling approach
Qian Li, John Shamshoian, Damla Şentürk, Catherine Sugar, Shafali Jeste, Charlotte DiStefano, Donatello Telesca
Ann. Appl. Stat. 14(4): 2053-2068 (December 2020). DOI: 10.1214/20-AOAS1374


Functional brain imaging through electroencephalography (EEG) relies upon the analysis and interpretation of high-dimensional, spatially organized time series. We propose to represent time-localized frequency domain characterizations of EEG data as region-referenced functional data. This representation is coupled with a hierarchical regression modeling approach to multivariate functional observations. Within this familiar setting we discuss how several prior models relate to structural assumptions about multivariate covariance operators. An overarching modeling framework, based on infinite factorial decompositions, is finally proposed to balance flexibility and efficiency in estimation. The motivating application stems from a study of implicit auditory learning, in which typically developing (TD) children, and children with autism spectrum disorder (ASD) were exposed to a continuous speech stream. Using the proposed model, we examine differential band power dynamics as brain function is interrogated throughout the duration of a computer-controlled experiment. Our work offers a novel look at previous findings in psychiatry and provides further insights into the understanding of ASD. Our approach to inference is fully Bayesian and implemented in a highly optimized Rcpp package.


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Qian Li. John Shamshoian. Damla Şentürk. Catherine Sugar. Shafali Jeste. Charlotte DiStefano. Donatello Telesca. "Region-referenced spectral power dynamics of EEG signals: A hierarchical modeling approach." Ann. Appl. Stat. 14 (4) 2053 - 2068, December 2020.


Received: 1 January 2019; Revised: 1 July 2020; Published: December 2020
First available in Project Euclid: 19 December 2020

MathSciNet: MR4194261
Digital Object Identifier: 10.1214/20-AOAS1374

Keywords: EEG , factor analysis , Functional data analysis , hierarchical models

Rights: Copyright © 2020 Institute of Mathematical Statistics


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Vol.14 • No. 4 • December 2020
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