ContextLab / ContextLab/supereeg

distance metrics for averaging correlation matrices

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Dominant language
Python
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Description

Our current implementation computed subject-wise correlation matrices, fisher's r2zs them, computes the euclidean mean and then inverts the fisher's r2z (i.e. z2r)

We could explore other distance functions such as log-euclidean and riemannian. The logic being that SPD matrices live on a curved manifold, so euclidean averaging might be sub-optimal.

This figure gives a good intuition for why a non-euclidean distance metric might be better:

![image](https://user-images.githubusercontent.com/6596567/32610407-a9e945d4-c530-11e7-99c7-a138b02ba2b5.png)

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