euclidean_log

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

euclidean_log function

<dl><dt>sigma</dt>
<dd>A reference point.</dd>
<dt>lambda</dt>
<dd>A point on the manifold.</dd>
<dt>validate</dt>
<dd>A logical value indicating whether to validate input arguments. Default is FALSE.</dd></dl>

Arguments

Compute the Euclidean Logarithm — euclidean_log

<dl>

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


<dt>lambda</dt>
<dd>A point on the manifold.</dd>


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

</dl>

euclidean_log: Compute the Euclidean Logarithm

Description

Usage

Value

Arguments