Implement Mai Anh changes
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@ -237,7 +237,8 @@
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xmin=10, xmax=50,
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ymin=0, ymax=0.4,
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legend columns=1,
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legend style={draw=white!15!black}]
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legend style={draw=white!15!black},
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legend cell align={left}]
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\addlegendimage{scol2, line width=1pt, solid}
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\addlegendentry{Proximal}
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@ -556,7 +556,7 @@
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\text{poly}\left( \mathcal{C} \right) & \
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\end{align*}
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\caption{Motivation}
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\caption{Lifted integer constraint}
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\end{subfigure}%
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\hfill%
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\begin{subfigure}[t]{0.3\textwidth}
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@ -32,7 +32,7 @@
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\sum_{\boldsymbol{c} \in \mathcal{C} }
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\delta\left( \tilde{\boldsymbol{x}} - \left( -1 \right)^{\boldsymbol{c}}
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\right)
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\approx \frac{1}{Z} e^{-\gamma h\left( \tilde{\boldsymbol{x}} \right) }
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\approx \frac{1}{Z} \mathrm{e}^{-\gamma h\left( \tilde{\boldsymbol{x}} \right) }
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\end{align*}
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\item Code constraint polynomial:
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\begin{minipage}[c]{0.56\textwidth}
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@ -165,6 +165,7 @@ return $\boldsymbol{\hat{c}}$
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xtick={1, 2, ..., 5},
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xmin=0.9, xmax=5.6,
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legend columns=1,
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legend cell align={left},
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]
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\addplot [scol0, line width=1pt]
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@ -199,11 +200,15 @@ return $\boldsymbol{\hat{c}}$
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\bigskip
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\addreference{WT22}{Tadashi Wadayama; Satoshi Takabe: \emph{Proximal Decoding for LDPC
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\addreferences
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{\text{Mac24}}{David J.C. MacKay: \emph{Encyclopedia of Sparse Graph Codes}.
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June 2024. URL: \url{http://www.inference.org.uk/mackay/codes/data.html}}
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{\text{WT22}}{Tadashi Wadayama; Satoshi Takabe: \emph{Proximal Decoding for LDPC
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Codes}. IEICE Transactions on Fundamentals of Electronics, Communications and Computer
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Sciences advpub (2022), 2022TAP0002.}
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\addreference{Mac24}{David J.C. MacKay: \emph{Encyclopedia of Sparse Graph Codes}.
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June 2024. URL: \url{http://www.inference.org.uk/mackay/codes/data.html}}
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\stopreferences
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\end{frame}
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@ -573,6 +578,7 @@ return $\boldsymbol{\hat{c}}$
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scale only axis,
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xtick={0, 50, ..., 200},
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xticklabels={0, 25, ..., 100},
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legend cell align={left},
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]
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\addplot [scol0, mark=none, line width=1]
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table [col sep=comma, x=k, y=comb_r_s_1]
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@ -597,6 +603,7 @@ return $\boldsymbol{\hat{c}}$
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scale only axis,
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xtick={0, 50, ..., 200},
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xticklabels={0, 25, ..., 100},
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legend cell align={left},
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]
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\addplot [scol0, mark=none, line width=1]
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table [col sep=comma, x=k, y=comb_r_s_2]
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@ -621,6 +628,7 @@ return $\boldsymbol{\hat{c}}$
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scale only axis,
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xtick={0, 50, ..., 200},
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xticklabels={0, 25, ..., 100},
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legend cell align={left},
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]
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\addplot [scol0, mark=none, line width=1]
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table [col sep=comma, x=k, y=comb_r_s_3]
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@ -651,6 +659,7 @@ return $\boldsymbol{\hat{c}}$
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scale only axis,
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xtick={0, 50, ..., 200},
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xticklabels={0, 25, ..., 100},
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legend cell align={left},
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]
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\addplot [scol0, mark=none, line width=1]
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table [col sep=comma, x=k, y=comb_r_s_0]
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@ -684,6 +693,7 @@ return $\boldsymbol{\hat{c}}$
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scale only axis,
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xtick={0, 50, ..., 200},
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xticklabels={0, 25, ..., 100},
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legend cell align={left},
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]
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\addplot [scol0, mark=none, line width=1]
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table [col sep=comma, x=k, y=comb_r_s_4]
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@ -708,6 +718,7 @@ return $\boldsymbol{\hat{c}}$
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scale only axis,
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xtick={0, 50, ..., 200},
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xticklabels={0, 25, ..., 100},
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legend cell align={left},
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]
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\addplot [scol0, mark=none, line width=1]
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table [col sep=comma, x=k, y=comb_r_s_5]
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@ -732,6 +743,7 @@ return $\boldsymbol{\hat{c}}$
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scale only axis,
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xtick={0, 50, ..., 200},
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xticklabels={0, 25, ..., 100},
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legend cell align={left},
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]
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\addplot [scol0, mark=none, line width=1]
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table [col sep=comma, x=k, y=comb_r_s_6]
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@ -867,6 +879,7 @@ return $\boldsymbol{\hat{c}}$
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scale only axis,
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xtick={0, 100, ..., 400},
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xticklabels={0, 50, ..., 200},
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legend cell align={left},
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]
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\addplot [scol0, mark=none, line width=1]
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table [col sep=comma, x=k, y=comb_r_s_0]
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