airm_vec

Vectorizes a tangent matrix into a vector in Euclidean space using AIRM.

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

airm_vec function

<dl><dt>sigma</dt>
<dd>A symmetric positive-definite matrix of class <code>dppMatrix</code>, representing the reference point.</dd>
<dt>v</dt>
<dd>A symmetric matrix of class <code>dspMatrix</code>, representing a tangent vector.</dd></dl>

Arguments

Compute the AIRM Vectorization of Tangent Space — airm_vec

<dl>

<dt>sigma</dt>
<dd>A symmetric positive-definite matrix of class <code>dppMatrix</code>, representing the reference point.</dd>


<dt>v</dt>
<dd>A symmetric matrix of class <code>dspMatrix</code>, representing a tangent vector.</dd>

</dl>

airm_vec: Compute the AIRM Vectorization of Tangent Space

Description

Usage

Value

Arguments