rbeta_ab_bip_gibbs_cpp

Single C++ function replacing the bipartite beta/a/b update block in lame.R

Additive and multiplicative effects models for both cross-sectional and longitudinal network analysis. The package provides two main functions: ame() for cross-sectional networks and lame() for longitudinal networks. It supports square and rectangular network structures. Key features include: (1) Cross-sectional network analysis via ame() with support for binary, continuous, ordinal, and count data; (2) Longitudinal network analysis via lame() with additive sender/receiver and multiplicative latent-factor effects that can evolve over time through AR(1) processes (Sewell and Chen (2015) <doi:10.1080/01621459.2014.988214>; Durante and Dunson (2014) <doi:10.1093/biomet/asu040>); (3) Handling of changing actor compositions across time periods in longitudinal models; (4) Performance improvements through C++ implementations via 'Rcpp' and 'RcppArmadillo'.

Shahryar Minhas

lame

Longitudinal Additive and Multiplicative Effects Models for
Networks

Cassy Dorff

Tosin Salau

rbeta_ab_bip_gibbs_cpp function

<dl><dt>Z</dt>
<dd>3D array (nA x nB x T)</dd>
<dt>Xlist</dt>
<dd>List of T arrays (nA x nB x p)</dd>
<dt>UV_eff</dt>
<dd>nA x nB matrix (UGV' or U*V')</dd>
<dt>a_current</dt>
<dd>Current row effects (length nA)</dd>
<dt>b_current</dt>
<dd>Current column effects (length nB)</dd>
<dt>s2</dt>
<dd>Dyadic variance</dd>
<dt>g_prior</dt>
<dd>G-prior parameter</dd>
<dt>va</dt>
<dd>Row effect variance (diagonal element of Sab)</dd>
<dt>vb</dt>
<dd>Column effect variance (diagonal element of Sab)</dd>
<dt>rvar</dt>
<dd>Whether to update row effects</dd>
<dt>cvar</dt>
<dd>Whether to update column effects</dd></dl>

Arguments

Full bipartite Gibbs update for beta, a, b — rbeta_ab_bip_gibbs_cpp

<dl>

<dt>Z</dt>
<dd>3D array (nA x nB x T)</dd>


<dt>Xlist</dt>
<dd>List of T arrays (nA x nB x p)</dd>


<dt>UV_eff</dt>
<dd>nA x nB matrix (UGV' or U*V')</dd>


<dt>a_current</dt>
<dd>Current row effects (length nA)</dd>


<dt>b_current</dt>
<dd>Current column effects (length nB)</dd>


<dt>s2</dt>
<dd>Dyadic variance</dd>


<dt>g_prior</dt>
<dd>G-prior parameter</dd>


<dt>va</dt>
<dd>Row effect variance (diagonal element of Sab)</dd>


<dt>vb</dt>
<dd>Column effect variance (diagonal element of Sab)</dd>


<dt>rvar</dt>
<dd>Whether to update row effects</dd>


<dt>cvar</dt>
<dd>Whether to update column effects</dd>

</dl>

rbeta_ab_bip_gibbs_cpp: Full bipartite Gibbs update for beta, a, b

Description

Usage

Value

Arguments