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SIMBA: Scalable Image Modeling using a Bayesian Approach, A Consistent Framework for Including Spatial Dependencies

Yuan Zhong1, Gang Chen2, Paul A Taylor2

  • 1Department of Biostatistics, University of Michigan, Ann Arbor, USA.

Arxiv
|January 2, 2026
PubMed
Summary
This summary is machine-generated.

Bayesian spatial modeling with SIMBA improves whole-brain fMRI analysis by capturing spatial patterns efficiently. This scalable approach enhances accuracy and detection sensitivity, even in noisy data.

Keywords:
Bayesian spatial modelGaussian process (GP)functional magnetic resonance imaging (fMRI)image-on-scalar regressionkernel approximationvariational inference (VI)

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Area of Science:

  • Neuroimaging
  • Computational Statistics
  • Machine Learning

Background:

  • Traditional massive univariate approaches in fMRI analysis often lead to information waste due to ignoring spatial dependencies.
  • Bayesian spatial modeling offers a flexible framework for whole-brain fMRI analysis by incorporating these spatial dependencies.

Purpose of the Study:

  • Introduce SIMBA (Scalable Image Modeling using a Bayesian Approach) for efficient group-level fMRI analysis.
  • Address computational challenges in Bayesian Gaussian process (GP) inference for high-dimensional neuroimaging data.

Main Methods:

  • Employ a low-rank kernel approximation for GP inference, enabling projection into a reduced-dimensional subspace.
  • Develop efficient Python algorithms for fully Bayesian inference using Gibbs sampling (minutes) and mean-field variational inference (seconds).

Main Results:

  • SIMBA outperforms competing methods in estimation accuracy, activation detection sensitivity, and uncertainty quantification, particularly in low signal-to-noise ratio settings.
  • Demonstrate SIMBA's scalability and interpretability in large-scale fMRI analyses (NARPS and ABCD studies).

Conclusions:

  • SIMBA provides a computationally efficient and statistically robust Bayesian framework for whole-brain fMRI analysis.
  • The method effectively captures smooth spatial association patterns, offering improved performance over traditional approaches.