to_hilbert_sphere

Projects an SRVF onto the Hilbert sphere

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

to_hilbert_sphere function

<dl><dt>qfun</dt>
<dd>A function that takes a numeric vector \(s\) of values in
\([0, 1]\) as input and returns the values of the SRVF at \(s\).</dd>
<dt>qnorm</dt>
<dd>A numeric value specifying the \(L^2\) norm of the SRVF.
Defaults to \(\sqrt{\langle q, q \rangle}\).</dd></dl>

Arguments

Projects an SRVF onto the Hilbert sphere — to_hilbert_sphere

<dl>

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


<dt>qnorm</dt>
<dd>A numeric value specifying the \(L^2\) norm of the SRVF.
Defaults to \(\sqrt{\langle q, q \rangle}\).</dd>

</dl>

to_hilbert_sphere: Projects an SRVF onto the Hilbert sphere

Description

Usage

Value

Arguments

Examples