get_l2_distance

Computes the \(L^2\) distance between two SRVFs

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

get_l2_distance function

<dl><dt>q1fun</dt>
<dd>A function that takes a numeric vector \(s\) of values in
\([0, 1]\) as input and returns the values of the first SRVF at \(s\).</dd>
<dt>q2fun</dt>
<dd>A function that takes a numeric vector \(s\) of values in
\([0, 1]\) as input and returns the values of the second SRVF at \(s\).</dd>
<dt>method</dt>
<dd>A character string specifying the method to use for computing
the \(L^2\) distance. Options are <code>"quadrature"</code> and <code>"trapz"</code>. Defaults
to <code>"quadrature"</code>.</dd></dl>

Arguments

Computes the \(L^2\) distance between two SRVFs — get_l2_distance

<dl>

<dt>q1fun</dt>
<dd>A function that takes a numeric vector \(s\) of values in
\([0, 1]\) as input and returns the values of the first SRVF at \(s\).</dd>


<dt>q2fun</dt>
<dd>A function that takes a numeric vector \(s\) of values in
\([0, 1]\) as input and returns the values of the second SRVF at \(s\).</dd>


<dt>method</dt>
<dd>A character string specifying the method to use for computing
the \(L^2\) distance. Options are <code>"quadrature"</code> and <code>"trapz"</code>. Defaults
to <code>"quadrature"</code>.</dd>

</dl>

get_l2_distance: Computes the \(L^2\) distance between two SRVFs

Description

Usage

Value

Arguments

Examples