Researchers have developed a novel geometric framework that uses diffeomorphic transformations to embed correlation matrices into a Euclidean space.
The proposed method improves computational speed and enhances accuracy compared to conventional manifold-based approaches.
This framework has been applied to behavior score prediction, subject fingerprinting in resting-state fMRI, and hypothesis testing in electroencephalogram data.
An open-source MATLAB toolbox is provided to facilitate broader adoption and advance the application of correlation geometry in functional brain network research.