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Stacked regressions and structured variance partitioning for interpretable brain maps.

Ruogu Lin1, Thomas Naselaris2, Kendrick Kay3

  • 1Computational Biology Department, Carnegie Mellon University, Pittsburgh, PA 15213, United States of America.

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|August 8, 2024
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Summary

This study introduces novel brain mapping methods, stacking encoding models and structured variance partitioning, to accurately link brain activity to complex stimulus properties. These techniques improve interpretability and robustness, even with correlated features.

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Area of Science:

  • Neuroscience
  • Computational Neuroscience
  • Machine Learning

Background:

  • Functional brain mapping relies on linking brain activity to stimulus properties.
  • Correlated stimulus features in naturalistic stimuli complicate traditional brain mapping and statistical analysis.

Purpose of the Study:

  • To develop robust methods for functional brain mapping with correlated stimulus features.
  • To improve the interpretability and accuracy of brain maps derived from complex, naturalistic stimuli.

Main Methods:

  • Developed a stacking algorithm combining multiple encoding models, each using different stimulus attributes.
  • Introduced structured variance partitioning to account for known relationships between features.
  • Validated methods through simulation and application to fMRI data.

Main Results:

  • The combined encoding model predicts brain activity as well as or better than individual models.
  • Model weights provide interpretable insights into the importance of each feature space for voxel activity.
  • Structured variance partitioning effectively addresses correlations between feature spaces.

Conclusions:

  • The proposed methods enhance the ability to map brain activity to complex, correlated stimulus properties.
  • These techniques offer a robust framework for analyzing brain responses to naturalistic stimuli and neural network features.
  • A Python package is released to facilitate the application of these brain mapping approaches.