Changed citation

This commit is contained in:
Andreas Tsouchlos 2023-03-22 14:21:11 +01:00
parent c34b1ca687
commit d411c1945f

View File

@ -770,7 +770,7 @@ The steps to solve the dual problem then become:
%
Luckily, the additional constaints only affect the $\boldsymbol{z}_j$-update steps.
Furthermore, the $\boldsymbol{z}_j$-update steps can be shown to be equivalent to projections
onto the check polytopes $\mathcal{P}_{d_j}$ \cite[Sec. III. B.]{original_admm}
onto the check polytopes $\mathcal{P}_{d_j}$
and the $\tilde{\boldsymbol{c}}$-update can be computed analytically%
%
\footnote{In the $\tilde{c}_i$-update rule, the term
@ -780,7 +780,7 @@ What is actually meant is the component of $\boldsymbol{z}_j$ that is associated
with the variable node $i$, i.e., $\left( \boldsymbol{T}_j^\text{T}\boldsymbol{z}_j\right)_i$.
The same is true for $\left( \boldsymbol{\lambda}_j \right)_i$.}
%
\cite[Sec. III.]{lautern}:%
\cite[Sec. III. B.]{original_admm}:%
%
\begin{alignat*}{3}
\tilde{c}_i &\leftarrow \frac{1}{\left| N_v\left( i \right) \right|} \left(