givens.rotation

For a given angle theta, returns a d x d Givens rotation matrix

Provides an implementation of the Sparse ICA method in Wang et al. (2024) <doi:10.1080/01621459.2024.2370593> for estimating sparse independent source components of cortical surface functional MRI data, by addressing a non-smooth, non-convex optimization problem through the relax-and-split framework. This method effectively balances statistical independence and sparsity while maintaining computational efficiency.

Zihang Wang

SparseICA

Sparse Independent Component Analysis

Irina Gaynanova

Aleksandr Aravkin

Benjamin Risk

givens.rotation function

<dl><dt>theta</dt>
<dd>The value of theta.</dd>
<dt>d</dt>
<dd>The value of d.</dd>
<dt>which</dt>
<dd>The value of which.</dd></dl>

Arguments

For a given angle theta, returns a d x d Givens rotation matrix — givens.rotation

<dl>

<dt>theta</dt>
<dd>The value of theta.</dd>


<dt>d</dt>
<dd>The value of d.</dd>


<dt>which</dt>
<dd>The value of which.</dd>

</dl>

givens.rotation: For a given angle theta, returns a d x d Givens rotation matrix

Description

Usage

Arguments