Add the wSMI (weighted Symbolic Mutual Information) marker computation function to the library #301
Description
Describe the new feature or enhancement
The wSMI [1] is a connectivity measure developed by Jean-Rémi King and Jacobo D. Sitt and its used mainly to study markers of consciousness and conscious perception and its somehow complementary with the wPLI measure.
The wSMI is already been used by multiple researchs and there are a widely number of publications already including this measure in their projects using either the implementation of Federico Raimondo in PICNIC Lab (where the measure was developed) or their own implementations. We think that adding the measure to MNE instead of everyone using a different implementation would improve the reproducibility of the publications using the measure.
[1] King, J. R., Sitt, J. D., Faugeras, F., Rohaut, B., El Karoui, I., Cohen, L., ... & Dehaene, S. (2013). Information sharing in the brain indexes consciousness in noncommunicative patients. Current biology, 23(19), 1914-1919.
Describe your proposed implementation
wSMI is already publicly available in github (https://github.com/fraimondo/nice/blob/master/nice/measures/connectivity.py) developed by Federico Raimondo in python. Even do the measure is public, its not easy to use and installing all the repository for that measure is an overkill. Also, there is no documentation and its not correctly maintained.
Currently we are working on a refactor of our pipeline and we would be available to contribute with MNE integrating the wSMI (which is already implemented) into MNE ourselves.
Describe possible alternatives
We don't have a possible alternative but we are open to any
Additional context
No response