pyriemann.utils.tangentspace.transport¶

pyriemann.utils.tangentspace.transport(X, A, B, metric='riemann')¶

Parallel transport.

Parallel transport of matrices \(\mathbf{X}\) in tangent space from an initial SPD/HPD matrix \(\mathbf{A}\) to a final SPD/HPD matrix \(\mathbf{B}\), according to a metric.

Warning: this function must be applied to matrices \(\mathbf{X}\) already projected in tangent space with a logarithmic map at \(\mathbf{A}\), not to SPD/HPD matrices in manifold.

Parameters:

Xndarray, shape (…, n, n): Matrices in tangent space.
Andarray, shape (n, n): Initial SPD/HPD matrix.
Bndarray, shape (n, n): Final SPD/HPD matrix.
metricstring | callable, default=”riemann”: Metric used for parallel transport, can be: “euclid”, “logeuclid”, “riemann”, or a callable function.

Returns:

X_newndarray, shape (…, n, n): Matrices in tangent space transported from A to B.