TY - JOUR
T1 - Solving the MEG Inverse Problem: A Robust Two-Way Regularization Method
AU - Tian, Siva
AU - Huang, Jianhua Z.
AU - Shen, Haipeng
N1 - KAUST Repository Item: Exported on 2021-10-15
Acknowledged KAUST grant number(s): KUSCI-016-04
Acknowledgements: This work is supported in part by NIDA (1 RC1 DA029425-01), NSF (DMS-09-07170, DMS-10-07618, CMMI-0800575, DMS-11-06912, DMS-12-08952, and DMS-12-08786), and King Abdullah University of Science and Technology (KUSCI-016-04).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2015
Y1 - 2015
N2 - Magnetoencephalography (MEG) is a common noninvasive imaging modality for instantly measuring whole brain activities. One challenge in MEG data analysis is how to minimize the impact of the outliers that commonly exist in the images. In this article, we propose a robust two-way regularization approach to solve the important MEG inverse problem, that is, reconstructing neuronal activities using the measured MEG signals. The proposed method is based on the distributed source model and produces a spatio-temporal solution for all the dipoles simultaneously. Unlike the traditional methods that use the squared error loss function, our proposal uses a robust loss function, which improves the robustness of the results against outliers. To impose desirable spatial focality and temporal smoothness, we then penalize the robust loss through appropriate spatial-temporal two-way regularization. Furthermore, an alternating reweighted least-squares algorithm is developed to optimize the penalized model fitting criterion. Extensive simulation studies and a real-world MEG study clearly demonstrate the advantages of the proposed method over three nonrobust methods.
AB - Magnetoencephalography (MEG) is a common noninvasive imaging modality for instantly measuring whole brain activities. One challenge in MEG data analysis is how to minimize the impact of the outliers that commonly exist in the images. In this article, we propose a robust two-way regularization approach to solve the important MEG inverse problem, that is, reconstructing neuronal activities using the measured MEG signals. The proposed method is based on the distributed source model and produces a spatio-temporal solution for all the dipoles simultaneously. Unlike the traditional methods that use the squared error loss function, our proposal uses a robust loss function, which improves the robustness of the results against outliers. To impose desirable spatial focality and temporal smoothness, we then penalize the robust loss through appropriate spatial-temporal two-way regularization. Furthermore, an alternating reweighted least-squares algorithm is developed to optimize the penalized model fitting criterion. Extensive simulation studies and a real-world MEG study clearly demonstrate the advantages of the proposed method over three nonrobust methods.
UR - http://hdl.handle.net/10754/672847
UR - https://www.tandfonline.com/doi/full/10.1080/00401706.2014.887594
UR - http://www.scopus.com/inward/record.url?scp=84924404075&partnerID=8YFLogxK
U2 - 10.1080/00401706.2014.887594
DO - 10.1080/00401706.2014.887594
M3 - Article
SN - 1537-2723
VL - 57
SP - 123
EP - 137
JO - Technometrics
JF - Technometrics
IS - 1
ER -