Solving the MEG Inverse Problem: A Robust Two-Way Regularization Method

Siva Tian, Jianhua Z. Huang, Haipeng Shen

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.
Original languageEnglish (US)
Pages (from-to)123-137
Number of pages15
Issue number1
StatePublished - 2015
Externally publishedYes

Bibliographical note

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.

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics
  • Statistics and Probability


Dive into the research topics of 'Solving the MEG Inverse Problem: A Robust Two-Way Regularization Method'. Together they form a unique fingerprint.

Cite this