pyriemann.utils.distance.distance_harmonic

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

Harmonic distance between invertible matrices.

The harmonic distance between two invertible matrices A and B is:

\[d(\mathbf{A},\mathbf{B}) = \Vert \mathbf{A}^{-1} - \mathbf{B}^{-1} \Vert_F\]

Parameters

Andarray, shape (…, n, n)

First invertible matrices, at least 2D ndarray.

Bndarray, shape (…, n, n)

Second invertible matrices, same dimensions as A.

Returns

dndarray, shape (…,) or float

Harmonic distance between A and B.