multivariate_karcher_mean

Calculates Karcher mean or median of a collection of multivariate functional
data using the elastic square-root velocity (srvf) framework.

alignment

srvf

Performs alignment, PCA, and modeling of multidimensional and
unidimensional functions using the square-root velocity framework
(Srivastava et al., 2011 <arXiv:1103.3817> and Tucker et al., 2014
<DOI:10.1016/j.csda.2012.12.001>). This framework allows for elastic
analysis of functional data through phase and amplitude separation.

J Derek Tucker

fdasrvf

Elastic Functional Data Analysis

J. Derek Tucker

Aymeric Stamm

multivariate_karcher_mean function

<dl><dt>beta</dt>
<dd>\(L \times M \times N\) and it is
interpreted as a sample of \(N\) \(L\)-dimensional curves observed on a
grid of size \(M\).</dd>
<dt>lambda</dt>
<dd>A numeric value specifying the elasticity. Defaults to <code>0.0</code>.</dd>
<dt>maxit</dt>
<dd>maximum number of iterations</dd>
<dt>ms</dt>
<dd>string defining whether the Karcher mean (<code>"mean"</code>) or Karcher
median (<code>"median"</code>) is returned (default = <code>"mean"</code>)</dd></dl>

Arguments

Karcher Mean of Multivariate Functional Data — multivariate_karcher_mean

<dl>

<dt>beta</dt>
<dd>\(L \times M \times N\) and it is
interpreted as a sample of \(N\) \(L\)-dimensional curves observed on a
grid of size \(M\).</dd>


<dt>lambda</dt>
<dd>A numeric value specifying the elasticity. Defaults to <code>0.0</code>.</dd>


<dt>maxit</dt>
<dd>maximum number of iterations</dd>


<dt>ms</dt>
<dd>string defining whether the Karcher mean (<code>"mean"</code>) or Karcher
median (<code>"median"</code>) is returned (default = <code>"mean"</code>)</dd>

</dl>

multivariate_karcher_mean: Karcher Mean of Multivariate Functional Data

Description

Usage

Value

Arguments

References

Examples