"Building blocks of functional connectivity measures for aperiodic electrophysiological brain signals" has been published
Rikkert Hindriks, Thomas O. Rot, Michel J.A.M. van Putten, Prejaas Tewarie
This paper has been published in NeuroImage: reports.
https://authors.elsevier.com/sd/article/S2666-9560(25)00052-2
A challenge in interpreting functional connectivity results in electroencephalography (EEG) data is volume conduction. A common way to mitigate spurious connectivity due to volume conduction is to use connectivity measures that are insensitive to volume conduction. In this study we derive a set of invariant connectivity measures that are fundamental in the sense that all others can be constructed from them by combination. These building blocks come from the Plücker embedding, an embedding of the Grassmannian manifold into Euclidean space.
The initial preprint, with more mathematics, can be found here