airm_unvec

Converts a vector back into a tangent matrix relative to a reference point 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_unvec function

<dl><dt>sigma</dt>
<dd>A symmetric positive-definite matrix of class <code>dppMatrix</code>, representing the reference point.</dd>
<dt>w</dt>
<dd>A numeric vector, representing the vectorized tangent image.</dd></dl>

Arguments

Compute the Inverse Vectorization (AIRM) — airm_unvec

<dl>

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


<dt>w</dt>
<dd>A numeric vector, representing the vectorized tangent image.</dd>

</dl>

airm_unvec: Compute the Inverse Vectorization (AIRM)

Description

Usage

Value

Arguments