log_euclidean_exp

This function computes the Euclidean exponential map.

Implements various Riemannian metrics for symmetric positive definite matrices, including AIRM (Affine Invariant Riemannian Metric, <doi:10.1007/s11263-005-3222-z>), Log-Euclidean (<doi:10.1002/mrm.20965>), Euclidean, Log-Cholesky (<doi:10.1137/18M1221084>), and Bures-Wasserstein metrics (<doi:10.1016/j.exmath.2018.01.002>). Provides functions for computing logarithmic and exponential maps, vectorization, and statistical operations on the manifold of positive definite matrices.

Nicolas Escobar

riemtan

Riemannian Metrics for Symmetric Positive Definite Matrices

Jaroslaw Harezlak

log_euclidean_exp function

<dl><dt>ref_pt</dt>
<dd>A reference point.</dd>
<dt>v</dt>
<dd>A tangent vector to be mapped back to the manifold at <code>ref_pt</code>.</dd>
<dt>validate</dt>
<dd>A logical value indicating whether to validate input arguments. Default is FALSE.</dd></dl>

Arguments

Compute the Log-Euclidean Exponential — log_euclidean_exp

<dl>

<dt>ref_pt</dt>
<dd>A reference point.</dd>


<dt>v</dt>
<dd>A tangent vector to be mapped back to the manifold at <code>ref_pt</code>.</dd>


<dt>validate</dt>
<dd>A logical value indicating whether to validate input arguments. Default is FALSE.</dd>

</dl>

log_euclidean_exp: Compute the Log-Euclidean Exponential

Description

Usage

Value

Arguments