curve_depth

This functions calculates the elastic depth between set of curves. If the
curves are describing multidimensional functional data, then
<code>rotated == FALSE</code> and <code>mode == 'O'</code>

depth

Performs alignment, PCA, and modeling of multidimensional and
unidimensional functions using the square-root velocity framework
(Srivastava et al., 2011 <doi:10.48550/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

curve_depth function

<dl><dt>beta</dt>
<dd>Array of sizes \(n \times T \times N\) for \(N\) curves
of dimension \(n\) evaluated on a grid of \(T\) points</dd>
<dt>mode</dt>
<dd>Open (<code>"O"</code>) or Closed (<code>"C"</code>) curves</dd>
<dt>rotated</dt>
<dd>Include rotation (default = <code>TRUE</code>)</dd>
<dt>scale</dt>
<dd>scale curves to unit length (default = <code>TRUE</code>)</dd>
<dt>parallel</dt>
<dd>run computation in parallel (default = <code>TRUE</code>)</dd></dl>

Arguments

Calculates elastic depth for a set of curves — curve_depth

<dl>

<dt>beta</dt>
<dd>Array of sizes \(n \times T \times N\) for \(N\) curves
of dimension \(n\) evaluated on a grid of \(T\) points</dd>


<dt>mode</dt>
<dd>Open (<code>"O"</code>) or Closed (<code>"C"</code>) curves</dd>


<dt>rotated</dt>
<dd>Include rotation (default = <code>TRUE</code>)</dd>


<dt>scale</dt>
<dd>scale curves to unit length (default = <code>TRUE</code>)</dd>


<dt>parallel</dt>
<dd>run computation in parallel (default = <code>TRUE</code>)</dd>

</dl>

curve_depth: Calculates elastic depth for a set of curves

Description

Usage

Value

Arguments

References

Examples