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Improved high-dimensional multivariate autoregressive model estimation of human electrophysiological data using fMRI priors

Alliot Nagle, Josh P. Gerrelts, View ORCID ProfileBryan M. Krause, Aaron D. Boes, Joel E. Bruss, Kirill V. Nourski, View ORCID ProfileMatthew I. Banks, Barry Van Veen
doi: https://doi.org/10.1101/2022.11.18.516669
Alliot Nagle
aDepartment of Electrical and Computer Engineering, University of Wisconsin, Madison, 53706, WI, USA
bDepartment of Anesthesiology, University of Wisconsin, Madison, 53706, WI, USA
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Josh P. Gerrelts
aDepartment of Electrical and Computer Engineering, University of Wisconsin, Madison, 53706, WI, USA
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Bryan M. Krause
bDepartment of Anesthesiology, University of Wisconsin, Madison, 53706, WI, USA
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Aaron D. Boes
cDepartment Neurology, The University of Iowa, Iowa City, 52242, IA, USA
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Joel E. Bruss
cDepartment Neurology, The University of Iowa, Iowa City, 52242, IA, USA
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Kirill V. Nourski
dDepartment Neurosurgery, The University of Iowa, Iowa City, 52242, IA, USA
eIowa Neuroscience Institute, The University of Iowa, Iowa City, 52242, IA, USA
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Matthew I. Banks
bDepartment of Anesthesiology, University of Wisconsin, Madison, 53706, WI, USA
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Barry Van Veen
aDepartment of Electrical and Computer Engineering, University of Wisconsin, Madison, 53706, WI, USA
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  • For correspondence: bvanveen@wisc.edu
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Abstract

Multivariate autoregressive (MVAR) model estimation enables assessment of causal interactions in brain networks. However, accurately estimating MVAR models for high-dimensional electrophysiological recordings is challenging due to the extensive data requirements. Hence, the applicability of MVAR models for study of brain behavior over hundreds of recording sites has been very limited. Prior work has focused on different strategies for selecting a subset of important MVAR coefficients in the model and is motivated by the potential of MVAR models and the data requirements of conventional least-squares estimation algorithms. Here we propose incorporating prior information, such as fMRI, into MVAR model estimation using a weighted group LASSO regularization strategy. The proposed approach is shown to reduce data requirements by a factor of two relative to the recently proposed group LASSO method of Endemann et al. (2022) while resulting in models that are both more parsimonious and have higher fidelity to the ground truth. The effectiveness of the method is demonstrated using simulation studies of physiologically realistic MVAR models derived from iEEG data. The robustness of the approach to deviations between the conditions under which the prior information and iEEG data is obtained is illustrated using models from data collected in different sleep stages. This approach will allow accurate effective connectivity analyses over short time scales, facilitating investigations of causal interactions in the brain underlying perception and cognition during rapid transitions in behavioral state.

Competing Interest Statement

The authors have declared no competing interest.

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY-NC 4.0 International license.
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Posted November 20, 2022.
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Improved high-dimensional multivariate autoregressive model estimation of human electrophysiological data using fMRI priors
Alliot Nagle, Josh P. Gerrelts, Bryan M. Krause, Aaron D. Boes, Joel E. Bruss, Kirill V. Nourski, Matthew I. Banks, Barry Van Veen
bioRxiv 2022.11.18.516669; doi: https://doi.org/10.1101/2022.11.18.516669
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Improved high-dimensional multivariate autoregressive model estimation of human electrophysiological data using fMRI priors
Alliot Nagle, Josh P. Gerrelts, Bryan M. Krause, Aaron D. Boes, Joel E. Bruss, Kirill V. Nourski, Matthew I. Banks, Barry Van Veen
bioRxiv 2022.11.18.516669; doi: https://doi.org/10.1101/2022.11.18.516669

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