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Monte Carlo Expectation Maximization with Hidden Markov Models to Detect Functional Networks in Resting-State fMRI

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Book cover Machine Learning in Medical Imaging (MLMI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7009))

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Abstract

We propose a novel Bayesian framework for partitioning the cortex into distinct functional networks based on resting-state fMRI. Spatial coherence within the network clusters is modeled using a hidden Markov random field prior. The normalized time-series data, which lie on a high-dimensional sphere, are modeled with a mixture of von Mises-Fisher distributions. To estimate the parameters of this model, we maximize the posterior using a Monte Carlo expectation maximization (MCEM) algorithm in which the intractable expectation over all possible labelings is approximated using Monte Carlo integration. We show that MCEM solutions on synthetic data are superior to those computed using a mode approximation of the expectation step. Finally, we demonstrate on real fMRI data that our method is able to identify visual, motor, salience, and default mode networks with considerable consistency between subjects.

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References

  1. Banerjee, A., Dhillon, I., Ghosh, J., Sra, S.: Clustering on the unit hypersphere using von Mises-Fisher distributions. J. Machine Learning Res. 6(2), 1345 (2006)

    MathSciNet  MATH  Google Scholar 

  2. Beckmann, C., Smith, S.: Tensorial extensions of independent component analysis for multisubject fMRI analysis. Neuroimage 25(1), 294–311 (2005)

    Article  Google Scholar 

  3. Descombes, X., Kruggel, F., Cramon, D.V.: Spatio-temporal fMRI analysis using Markov random fields. IEEE Trans. on Medical Imaging 17(6), 1028–1039 (1998)

    Article  Google Scholar 

  4. Fox, M., Greicius, M.: Clinical Applications of Resting State Functional Connectivity. Frontiers in Systems Neuroscience 4 (2010)

    Google Scholar 

  5. Golland, P., Lashkari, D., Venkataraman, A.: Spatial patterns and functional profiles for discovering structure in fMRI data. In: 42nd Asilomar Conference on Signals, Systems and Computers, pp. 1402–1409 (2008)

    Google Scholar 

  6. Li, S.Z.: Markov random field modeling in computer vision. Springer, Heidelberg (1995)

    Book  Google Scholar 

  7. Liu, W., Zhu, P., Anderson, J., Yurgelun-Todd, D., Fletcher, P.: Spatial regularization of functional connectivity using high-dimensional markov random fields. In: Jiang, T., Navab, N., Pluim, J.P.W., Viergever, M.A. (eds.) MICCAI 2010. LNCS, vol. 6362, pp. 363–370. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  8. Raichle, M.E., MacLeod, A.M., Snyder, A.Z., Powers, W.J., Gusnard, D.A., Shulman, G.L.: A default mode of brain function. PNAS 98(2), 676–682 (2001)

    Article  Google Scholar 

  9. Thirion, B., Dodel, S., Poline, J.: Detection of signal synchronizations in resting-state fMRI datasets. Neuroimage 29(1), 321–327 (2006)

    Article  Google Scholar 

  10. Wei, G., Tanner, M.: A Monte Carlo implementation of the EM algorithm and the poor man’s data augmentation algorithms. Journal of the American Statistical Association 85(411), 699–704 (1990)

    Article  Google Scholar 

  11. Whitfield-Gabrieli, S.: Conn Matlab toolbox (March 2011), http://web.mit.edu/swg/software.htm

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© 2011 Springer-Verlag Berlin Heidelberg

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Liu, W., Awate, S.P., Anderson, J.S., Yurgelun-Todd, D., Fletcher, P.T. (2011). Monte Carlo Expectation Maximization with Hidden Markov Models to Detect Functional Networks in Resting-State fMRI. In: Suzuki, K., Wang, F., Shen, D., Yan, P. (eds) Machine Learning in Medical Imaging. MLMI 2011. Lecture Notes in Computer Science, vol 7009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24319-6_8

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  • DOI: https://doi.org/10.1007/978-3-642-24319-6_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24318-9

  • Online ISBN: 978-3-642-24319-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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