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EEG/MEG Source Reconstruction with Spatial-Temporal Two-Way Regularized Regression

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Abstract

In this work, we propose a spatial-temporal two-way regularized regression method for reconstructing neural source signals from EEG/MEG time course measurements. The proposed method estimates the dipole locations and amplitudes simultaneously through minimizing a single penalized least squares criterion. The novelty of our methodology is the simultaneous consideration of three desirable properties of the reconstructed source signals, that is, spatial focality, spatial smoothness, and temporal smoothness. The desirable properties are achieved by using three separate penalty functions in the penalized regression framework. Specifically, we impose a roughness penalty in the temporal domain for temporal smoothness, and a sparsity-inducing penalty and a graph Laplacian penalty in the spatial domain for spatial focality and smoothness. We develop a computational efficient multilevel block coordinate descent algorithm to implement the method. Using a simulation study with several settings of different spatial complexity and two real MEG examples, we show that the proposed method outperforms existing methods that use only a subset of the three penalty functions.

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Acknowledgments

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 (KUS-CI-016-04).

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Authors and Affiliations

  1. Department of Psychology, University of Houston, Houston, TX, 77204, USA

    Tian Siva Tian

  2. Department of Statistics, Texas A&M University, College Station, TX, 77843, USA

    Jianhua Z. Huang

  3. Department of Statistics and Operations Research, University of North Carolina at Chapel Hill, Chapel Hill, NC, 27599, USA

    Haipeng Shen

  4. Department of Neurology, Medical College of Wisconsin, Milwaukee, WI, 53226, USA

    Zhimin Li

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  1. Tian Siva Tian
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Correspondence to Tian Siva Tian.

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Tian, T.S., Huang, J.Z., Shen, H. et al. EEG/MEG Source Reconstruction with Spatial-Temporal Two-Way Regularized Regression. Neuroinform 11, 477–493 (2013). https://doi.org/10.1007/s12021-013-9193-2

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