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 \(\mathbf{X}\) 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)

Reference matrix.

Returns:

X_originalndarray, shape (…, n, m)

Matrices in manifold.

Notes

Added in version 0.4.