pyriemann.utils.distance.distance_logeuclid

pyriemann.utils.distance.distance_logeuclid(A, B)

Log-Euclidean distance between SPD matrices.

The Log-Euclidean distance between two SPD matrices A and B is:

\[d(\mathbf{A},\mathbf{B}) = \Vert \log(\mathbf{A}) - \log(\mathbf{B}) \Vert_F\]

Parameters

Andarray, shape (…, n, n)

First SPD matrices, at least 2D ndarray.

Bndarray, shape (…, n, n)

Second SPD matrices, same dimensions as A.

Returns

dndarray, shape (…,) or float

Log-Euclidean distance between A and B.