Log Map for SPD Matrices (Log-Euclidean Metric)

Projects SPD matrix S2 to the tangent space of SPD matrix S1 using the Log-Euclidean metric. The tangent vector is `logm(S2) - logm(S1)`.

Usage

logmap_spd_logeuclidean(S1, S2, regularize_epsilon = 1e-06)

Arguments

S1

Reference SPD matrix (point on the manifold where the tangent space is anchored).

S2

SPD matrix to project to the tangent space at S1.

regularize_epsilon

Epsilon for regularization. Default 1e-6.

Value

A symmetric matrix representing S2 in the tangent space at S1.