frechetMedian

frechetMedian.default

Implements operations for Riemannian manifolds, e.g., geodesic distance, Riemannian metric, exponential and logarithm maps, etc. Also incorporates random object generator on the manifolds. See Dai, Lin, and Müller (2021) <doi:10.1111/biom.13385>.

Xiongtao Dai

manifold

Operations for Riemannian Manifolds

Zhenhua Lin

frechetMedian function

<dl><dt>mfd</dt>
<dd>A manifold object created by <code>createM</code></dd>
<dt>X</dt>
<dd>A matrix with each column being a point on the manifold.</dd>
<dt>...</dt>
<dd>Passed into specific methods</dd>
<dt>mu0</dt>
<dd>A matrix of starting points. Each column corresponds to a starting point. If there are multiple columns, then a multistart algorithm is used.</dd>
<dt>weight</dt>
<dd>A vector of weights for the observations</dd>
<dt>tol</dt>
<dd>The threshold for determining convergence</dd>
<dt>maxit</dt>
<dd>Maximum iteration</dd>
<dt>alpha</dt>
<dd>The step size parameter. See Fletcher et al. (2008) CVPR</dd></dl>

Arguments

<ul>
<li><code>frechetMedian(default)</code>: Default method</li>
</ul>

Methods (by class)

Calculate the Fréchet median — frechetMedian

<dl>

<dt>mfd</dt>
<dd>A manifold object created by <code>createM</code></dd>


<dt>X</dt>
<dd>A matrix with each column being a point on the manifold.</dd>


<dt>...</dt>
<dd>Passed into specific methods</dd>


<dt>mu0</dt>
<dd>A matrix of starting points. Each column corresponds to a starting point. If there are multiple columns, then a multistart algorithm is used.</dd>


<dt>weight</dt>
<dd>A vector of weights for the observations</dd>


<dt>tol</dt>
<dd>The threshold for determining convergence</dd>


<dt>maxit</dt>
<dd>Maximum iteration</dd>


<dt>alpha</dt>
<dd>The step size parameter. See Fletcher et al. (2008) CVPR</dd>

</dl>

frechetMedian: Calculate the Fréchet median

Description

Usage

Value

Arguments

Methods (by class)