Abstract
In this paper we investigate how the Infinite Relational Model can be used to infer functional groupings of the human striatum using resting state fMRI data from 30 healthy subjects. The Infinite Relational Model is a non-parametric Bayesian method for infering community structure in complex networks. We visualize the solution found by performing evidence accumulation clustering on the maximum a posterior solutions found in 100 runs of the sampling scheme. The striatal groupings found are symmetric between hemispheres indicating that the model is able to group voxels across hemispheres, which are involved in the same neural computations. The reproducibility of the groupings found are assessed by calculating mutual information between half splits of the subject sample for various hyperparameter values. Finally, the model’s ability to predict unobserved links is assessed by randomly treating links and non-links in the graphs as missing. We find that the model is performing well above chance for all subjects.
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Alexander, G.E., Crutcher, M.D., DeLong, M.R.: Basal ganglia-thalamocortical circuits: Parallel substrates for motor, oculomotor, ”prefrontal” and ”limbic” functions. Progress in Brain Research 85, 119–146 (1991)
Brunet, J.P., Tamayo, P., Golub, T.R., Mesirov, J.P.: Metagenes and molecular pattern discovery using matrix factorization. Proceedings of the National Academy of Sciences of the United States of America 101(12), 4164–4169 (2004)
Bullmore, E.T., Bassett, D.S.: Brain graphs: graphical models of the human brain connectome. Annual Review of Clinical Psychology 7, 113–140 (2011)
Doyon, J., Bellec, P., Amsel, R., Penhune, V., Monchi, O., Carrier, J., Lehéricy, S., Benali, H.: Contributions of the basal ganglia and functionally related brain structures to motor learning. Behavioural Brain Research 199(1), 61–75 (2009)
Fred, A.L.N., Jain, A.K.: Combining multiple clusterings using evidence accumulation. IEEE Transactions on Pattern Analysis and Machine Intelligence 27(6), 835–850 (2005)
Haber, S.: The primate basal ganglia: parallel and integrative networks. Journal of Chemical Neuroanatomy 26(4), 317–330 (2003)
Jain, S., Neal, R.M.: A Split-Merge Markov chain Monte Carlo Procedure for the Dirichlet Process Mixture Model. Journal of Computational and Graphical Statistics 13(1), 158–182 (2004)
Kemp, C., Tenenbaum, J., Griffiths, T., Yamada, T., Ueda, N.: Learning systems of concepts with an infinite relational model. In: Proceedings of the National Conference on Artificial Intelligence, vol. 21, pp. 381–388. AAAI Press, MIT Press, Menlo Park, Cambridge (1999, 2006)
Lancaster, J.L., Woldorff, M.G., Parsons, L.M., Liotti, M., Freitas, C.S., Rainey, L., Kochunov, P.V., Nickerson, D., Mikiten, S.A., Fox, P.T.: Automated Talairach atlas labels for functional brain mapping. Human Brain Mapping 10(3), 120–131 (2000)
Maldjian, J.A., Laurienti, P.J., Kraft, R.A., Burdette, J.H.: An automated method for neuroanatomic and cytoarchitectonic atlas-based interrogation of fMRI data sets. NeuroImage 19(3), 1233–1239 (2003)
Mehler-Wex, C., Riederer, P., Gerlach, M.: Dopaminergic dysbalance in distinct basal ganglia neurocircuits: implications for the pathophysiology of parkinson’s disease, schizophrenia and attention deficit hyperactivity disorder. Neurotoxicity Research 10, 167–179 (2006)
Middleton, F.A., Strick, P.L.: Basal-ganglia ’projections’ to the prefrontal cortex of the primate. Cerebral Cortex 12(9), 926–935 (2002)
Mørup, M., Madsen, K., Dogonowski, A.M., Siebner, H., Hansen, L.: Infinite relational modeling of functional connectivity in resting state fMRI. In: Advances in Neural Information Processing Systems 23, pp. 1750–1758 (2010)
Obeso, J.A., Rodríguez-Oroz, M.C., Benitez-Temino, B., Blesa, F.J., Guridi, J., Marin, C., Rodriguez, M.: Functional organization of the basal ganglia: therapeutic implications for Parkinson’s disease. Movement Disorders: Official Journal of the Movement Disorder Society 23(suppl. 3), S548–S559 (2008)
Sporns, O.: The human connectome: a complex network. Annals of the New York Academy of Sciences 1224(1), 109–125 (2011)
Xia, M., He, Y.: Magnetic Resonance Imaging and Graph Theoretical Analysis of Complex Brain Networks in Neuropsychiatric Disorders. Brain Connectivity 1(5), 349–365 (2011)
Xu, Z., Tresp, V., Yu, K., Kriegel, H.: Infinite hidden relational models. In: Proceedings of the 22nd International Conference on Uncertainity in Artificial Intelligence (2006)
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Andersen, K.W., Madsen, K.H., Siebner, H., Hansen, L.K., Mørup, M. (2012). Identification of Functional Clusters in the Striatum Using Infinite Relational Modeling. In: Langs, G., Rish, I., Grosse-Wentrup, M., Murphy, B. (eds) Machine Learning and Interpretation in Neuroimaging. Lecture Notes in Computer Science(), vol 7263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34713-9_29
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DOI: https://doi.org/10.1007/978-3-642-34713-9_29
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