reparam_curve

This function aligns two SRVF functions using Dynamic Programming. If the
curves beta1 and beta2 are describing multidimensional functional data, then
<code>rotation == FALSE</code> and <code>mode == 'O'</code>

alignment

srvf

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

reparam_curve function

<dl><dt>beta1</dt>
<dd>curve 1, provided as a matrix of dimensions \(n \times M\) for
\(n\)-dimensional curve evaluated on \(M\) sample points</dd>
<dt>beta2</dt>
<dd>curve 1, provided as a matrix of dimensions \(n \times M\) for
\(n\)-dimensional curve evaluated on \(M\) sample points</dd>
<dt>lambda</dt>
<dd>controls amount of warping (default = <code>0</code>)</dd>
<dt>method</dt>
<dd>controls which optimization method. Options are
Dynamic Programming (<code>"DP"</code>). (default = <code>"DP"</code>)</dd>
<dt>w</dt>
<dd>controls LRBFGS (default = <code>0.01</code>)</dd>
<dt>rotated</dt>
<dd>boolean if rotation is desired</dd>
<dt>isclosed</dt>
<dd>boolean if curve is closed</dd>
<dt>mode</dt>
<dd>Open (<code>"O"</code>) or Closed (<code>"C"</code>) curves</dd></dl>

Arguments

Align two curves — reparam_curve

<dl>

<dt>beta1</dt>
<dd>curve 1, provided as a matrix of dimensions \(n \times M\) for
\(n\)-dimensional curve evaluated on \(M\) sample points</dd>


<dt>beta2</dt>
<dd>curve 1, provided as a matrix of dimensions \(n \times M\) for
\(n\)-dimensional curve evaluated on \(M\) sample points</dd>


<dt>lambda</dt>
<dd>controls amount of warping (default = <code>0</code>)</dd>


<dt>method</dt>
<dd>controls which optimization method. Options are
Dynamic Programming (<code>"DP"</code>). (default = <code>"DP"</code>)</dd>


<dt>w</dt>
<dd>controls LRBFGS (default = <code>0.01</code>)</dd>


<dt>rotated</dt>
<dd>boolean if rotation is desired</dd>


<dt>isclosed</dt>
<dd>boolean if curve is closed</dd>


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

</dl>

reparam_curve: Align two curves

Description

Usage

Value

Arguments

References

Examples