pyriemann.utils.distance.distance_logdet

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

Log-det distance between SPD matrices.

The log-det distance between two SPD matrices A and B is:

\[d(\mathbf{A},\mathbf{B}) = \sqrt{\log(\det(\frac{\mathbf{A}+\mathbf{B}}{2})) - \frac{1}{2} \log(\det(\mathbf{A} \mathbf{B}))}\]

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-det distance between A and B.