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Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms
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Exploring an EM-algorithm for banded regression in computational neuroscience.

Søren A Fuglsang1,2, Kristoffer H Madsen1,3, Oula Puonti1,4

  • 1Danish Research Centre for Magnetic Resonance, Centre for Functional and Diagnostic Imaging and Research, Copenhagen University Hospital-Amager and Hvidovre, Copenhagen, Denmark.

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Summary
This summary is machine-generated.

This study introduces a new regression framework for computational neuroscience, enabling differential shrinkage of predictor groups. The method uses an expectation-maximization algorithm for tuning hyperparameters, applicable to fMRI and EEG data analysis.

Keywords:
EEGdecodingencodingfMRIregularization

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Area of Science:

  • Computational Neuroscience
  • Machine Learning
  • Statistical Modeling

Background:

  • Regression analysis is crucial for linking brain activity to stimuli or tasks.
  • Linear models with grouped predictors are common in encoding and decoding analyses.
  • Controlling the shrinkage of different predictor groups is often necessary.

Purpose of the Study:

  • To present a flexible framework for fitting regression models with differential group shrinkage.
  • To develop an expectation-maximization algorithm for hyperparameter tuning in these models.
  • To demonstrate the model's utility in neuroimaging data analysis.

Main Methods:

  • Developed a novel regression framework allowing differential shrinkage of predictor weight groups.
  • Implemented an expectation-maximization algorithm for hyperparameter optimization.
  • Validated the model using simulated data, BOLD fMRI encoding, and EEG decoding analyses.

Main Results:

  • The proposed framework allows for straightforward definition and estimation of models with differential group shrinkage.
  • The expectation-maximization algorithm effectively tunes hyperparameters controlling group-wise regularization.
  • The model shows practical applicability in both fMRI encoding and EEG decoding tasks.

Conclusions:

  • The presented framework offers a valuable tool for computational neuroscientists.
  • This approach facilitates more nuanced analysis of brain responses by allowing differential regularization.
  • Careful consideration of regularization's impact on interpretation is advised.