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Non-parametric Bayesian graph models reveal community structure in resting state fMRI.

Kasper Winther Andersen1, Kristoffer H Madsen2, Hartwig Roman Siebner3

  • 1Department of Applied Mathematics and Computer Science, Technical University of Denmark, Matematiktorvet, Bygning 303 B, 2800 Kgs. Lyngby, Denmark; Danish Research Centre for Magnetic Resonance, Centre for Functional and Diagnostic Imaging and Research, Copenhagen University Hospital Hvidovre, Kettegaard Alle 30, 2650 Hvidovre, Denmark.

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Summary

Bayesian Community Detection (BCD) best clustered resting state functional magnetic resonance imaging (rs-fMRI) network data. This model effectively predicted unseen data and reproduced clustering across datasets, highlighting rs-fMRI

Keywords:
Bayesian Community DetectionComplex networkGraph theoryInfinite Relational ModelResting state fMRI

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Area of Science:

  • Neuroimaging
  • Network Science
  • Computational Neuroscience

Background:

  • Resting state functional magnetic resonance imaging (rs-fMRI) analysis increasingly employs network models.
  • Node clustering is crucial for interpreting communication patterns within these networks.
  • Evaluating different clustering models for rs-fMRI data is essential for robust analysis.

Purpose of the Study:

  • To compare three nonparametric Bayesian models for node clustering in complex networks.
  • To assess the predictive ability and reproducibility of these models using rs-fMRI data.
  • To identify the most effective model for uncovering community structure in brain networks.

Main Methods:

  • Investigated three generative Bayesian models: Infinite Relational Model (IRM), Bayesian Community Detection (BCD), and Infinite Diagonal Model (IDM).
  • Compared these models against non-Bayesian methods: Infomap, Louvain modularity, and hierarchical clustering.
  • Evaluated model performance on three independent rs-fMRI datasets from healthy volunteers.

Main Results:

  • The Bayesian Community Detection (BCD) model demonstrated superior performance in predicting unseen data.
  • BCD also exhibited the highest reproducibility of clustering results across different datasets.
  • The findings suggest that rs-fMRI data possesses a community structure that BCD effectively captures.

Conclusions:

  • The Bayesian Community Detection (BCD) model is highly effective for node clustering in rs-fMRI network analysis.
  • The results underscore the importance of modeling heterogeneous between-cluster link probabilities for accurate brain network analysis.
  • This study validates the utility of Bayesian approaches for understanding functional brain connectivity.