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Functional Brain Imaging with M/EEG Using Structured Sparsity in Time-Frequency Dictionaries

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6801))

Abstract

Magnetoencephalography (MEG) and electroencephalography (EEG) allow functional brain imaging with high temporal resolution. While time-frequency analysis is often used in the field, it is not commonly employed in the context of the ill-posed inverse problem that maps the MEG and EEG measurements to the source space in the brain. In this work, we detail how convex structured sparsity can be exploited to achieve a principled and more accurate functional imaging approach. Importantly, time-frequency dictionaries can capture the non-stationary nature of brain signals and state-of-the-art convex optimization procedures based on proximal operators allow the derivation of a fast estimation algorithm. We compare the accuracy of our new method to recently proposed inverse solvers with help of simulations and analysis of real MEG data.

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References

  1. Beck, A., Teboulle, M.: A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM Journal on Imaging Sciences 2(1), 183–202 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bolstad, A., Veen, B.V., Nowak, R.: Space-time event sparse penalization for magneto-/electroencephalography. NeuroImage 46(4), 1066–1081 (2009)

    Article  Google Scholar 

  3. Dale, A., Liu, A., Fischl, B., Buckner, R.: Dynamic statistical parametric neurotechnique mapping: combining fMRI and MEG for high-resolution imaging of cortical activity. Neuron 26, 55–67 (2000)

    Article  Google Scholar 

  4. Daubechies, I.: Ten lectures on Wavelets. SIAM-CBMS Conferences Series (1992)

    Google Scholar 

  5. Durka, P.J., Matysiak, A., Montes, E.M., Valdés-Sosa, P., Blinowska, K.J.: Multichannel matching pursuit and EEG inverse solutions. Journal of Neuroscience Methods 148(1), 49–59 (2005)

    Article  Google Scholar 

  6. Forss, N., Hari, R., Salmelin, R., Ahonen, A., Hamalainen, M., Kajola, M., Knuutila, J., Simola, J.: Activation of the human posterior parietal cortex by median nerve stimulation. Exp. Brain Res. (99), 309–315 (1994)

    Article  Google Scholar 

  7. Friston, K., Harrison, L., Daunizeau, J., Kiebel, S., Phillips, C., Trujillo-Barreto, N., Henson, R., Flandin, G., Mattout, J.: Multiple sparse priors for the M/EEG inverse problem. Neuroimage 39(3), 1104–1120 (2008)

    Article  Google Scholar 

  8. Geva, A.B.: Spatio-temporal matching pursuit (SToMP) for multiple source estimation of evoked potentials. In: Electrical and Electronics Eng. pp. 113–116 (1996)

    Google Scholar 

  9. Gorodnitsky, I., George, J., Rao, B.: Neuromagnetic source imaging with FOCUSS: a recursive weighted minimum norm algorithm. Electroencephalography and Clinical Neurophysiology (January 1995)

    Google Scholar 

  10. Gramfort, A., Papadopoulo, T., Olivi, E., Clerc, M.: OpenMEEG: opensource software for quasistatic bioelectromagnetics. BioMed Eng. OnLine 9(1), 45 (2010)

    Article  Google Scholar 

  11. Hämäläinen, M., Ilmoniemi, R.: Interpreting magnetic fields of the brain: minimum norm estimates. Med. Biol. Eng. Comput. 32(1), 35–42 (1994)

    Article  Google Scholar 

  12. Haufe, S., Nikulin, V.V., Ziehe, A., Müller, K.R., Nolte, G.: Combining sparsity and rotational invariance in EEG/MEG source reconstruction. NeuroImage 42(2), 726–738 (2008)

    Article  Google Scholar 

  13. Haufe, S., Tomioka, R., Dickhaus, T., Sannelli, C., Blankertz, B., Nolte, G., Müller, K.R.: Large-scale EEG/MEG source localization with spatial flexibility. NeuroImage 54(2), 851–859 (2011)

    Article  Google Scholar 

  14. Jaros, U., Hilgenfeld, B., Lau, S., Curio, G., Haueisen, J.: Nonlinear interactions of high-frequency oscillations in the human somatosensory system. Clin. Neurophysiol. 119(11), 2647–2657 (2008)

    Article  Google Scholar 

  15. Jenatton, R., Mairal, J., Obozinski, G., Bach, F.: Proximal methods for hierarchical sparse coding. In: ICML (2010)

    Google Scholar 

  16. Lelic, D., Gratkowski, M., Valeriani, M., Arendt-Nielsen, L., Drewes, A.M.: Inverse modeling on decomposed electroencephalographic data: A way forward? Journal of Clinical Neurophysiology 26(4), 227–235 (2009)

    Article  Google Scholar 

  17. Matsuura, K., Okabe, Y.: Selective minimum-norm solution of the biomagnetic inverse problem. IEEE Trans. Biomed. Eng. 42(6), 608–615 (1995)

    Article  Google Scholar 

  18. Model, D., Zibulevsky, M.: Signal reconstruction in sensor arrays using sparse representations. Signal Processing 86(3), 624–638 (2006)

    Article  MATH  Google Scholar 

  19. Nesterov, Y., Polyak, B.: Cubic regularization of newton’s method and its global performance. Mathematical Programming 108(1), 177–205 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  20. Ou, W., Hämaläinen, M., Golland, P.: A distributed spatio-temporal EEG/MEG inverse solver. NeuroImage 44(3), 932–946 (2009)

    Article  Google Scholar 

  21. Roth, V., Fischer, B.: The group-lasso for generalized linear models: uniqueness of solutions and efficient algorithms. In: ICML, pp. 848–855 (2008)

    Google Scholar 

  22. Soendergard, P., Torrésani, B., Balazs, P.: The linear time frequency toolbox. Tech. rep., Technical University of Denmark (2009)

    Google Scholar 

  23. Tibshirani, R.: Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society Serie B 58(1), 267–288 (1996)

    MathSciNet  MATH  Google Scholar 

  24. Trujillo-Barreto, N.J., Aubert-Vázquez, E., Penny, W.D.: Bayesian M/EEG source reconstruction with spatio-temporal priors. Neuroimage 39(1), 318–335 (2008)

    Article  Google Scholar 

  25. Valdés-Sosa, P.A., Vega-Hernández, M., Sánchez-Bornot, J.M., Martínez-Montes, E., Bobes, M.A.: EEG source imaging with spatio-temporal tomographic nonnegative independent component analysis. HBM 30(6), 1898–1910 (2009)

    Article  Google Scholar 

  26. Wipf, D., Nagarajan, S.: A unified Bayesian framework for MEG/EEG source imaging. Neuroimage 44(3), 947–966 (2009)

    Article  Google Scholar 

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Gramfort, A., Strohmeier, D., Haueisen, J., Hamalainen, M., Kowalski, M. (2011). Functional Brain Imaging with M/EEG Using Structured Sparsity in Time-Frequency Dictionaries. In: Székely, G., Hahn, H.K. (eds) Information Processing in Medical Imaging. IPMI 2011. Lecture Notes in Computer Science, vol 6801. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22092-0_49

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  • DOI: https://doi.org/10.1007/978-3-642-22092-0_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22091-3

  • Online ISBN: 978-3-642-22092-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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