pyriemann.utils.tangentspace.exp_map_euclid¶

pyriemann.utils.tangentspace.exp_map_euclid(X, Cref)

Project matrices back to manifold by Euclidean exponential map.

The projection of a matrix X from tangent space to manifold with Euclidean exponential map according to a reference matrix $$\mathbf{C}_\text{ref}$$ is:

$\mathbf{X}_\text{original} = \mathbf{X} + \mathbf{C}_\text{ref}$
Parameters
Xndarray, shape (…, n, m)

Matrices in tangent space.

Crefndarray, shape (n, m)

The reference matrix.

Returns
X_originalndarray, shape (…, n, m)

Matrices in manifold.

Notes

New in version 0.4.