Added template for supplementary slides; Fixed frame titles
This commit is contained in:
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%\appendix
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%
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%\section{Proximal Decoding}%
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%\label{app:Proximal Decoding}
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\appendix
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\section{Supplementary Slides}%
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\label{app:Supplementary Slides}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{Proximal Decoding: Choice of $\gamma$}
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\captionsetup[subfigure]{font=footnotesize}
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\hspace*{-0.4cm}
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\begin{minipage}[c]{0.9\textwidth}
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\centering
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\begin{figure}[H]
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\vspace*{-0.7cm}
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\centering
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*, solid]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/proximal/2d_ber_fer_dfr_963965.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
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{res/hybrid/2d_ber_fer_dfr_963965.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
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%{res/hybrid/2d_ber_fer_dfr_963965.csv};
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{res/admm/ber_2d_963965.csv};
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\addplot[Black, line width=1pt, mark=*]
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table [col sep=comma, x=SNR, y=FER,]
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{res/generic/fer_ml_9633965.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{$\left( 3, 6 \right)$-regular LDPC code with $n=96, k=48$
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\cite[\text{96.3.965}]{mackay_enc}}
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\end{subfigure}%
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05},
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discard if gt={SNR}{5.5}]
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{res/proximal/2d_ber_fer_dfr_20433484.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
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{res/hybrid/2d_ber_fer_dfr_20433484.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={mu}{3.0},
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discard if gt={SNR}{5.5}]
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{res/admm/ber_2d_20433484.csv};
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\addplot[Black, line width=1pt, mark=*]
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table [col sep=comma, x=SNR, y=FER,
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discard if gt={SNR}{5.5}]
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{res/generic/fer_ml_20433484.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{$\left( 3, 6 \right)$-regular LDPC code with $n=204, k=102$
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\cite[\text{204.33.484}]{mackay_enc}}
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\end{subfigure}%
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/proximal/2d_ber_fer_dfr_40833844.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
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{res/hybrid/2d_ber_fer_dfr_40833844.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
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{res/admm/ber_2d_40833844.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{$\left( 3, 6 \right)$-regular LDPC code with $n=408, k=204$
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\cite[\text{408.33.844}]{mackay_enc}}
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\end{subfigure}%
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/proximal/2d_ber_fer_dfr_bch_31_26.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
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{res/hybrid/2d_ber_fer_dfr_bch_31_26.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
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{res/admm/ber_2d_bch_31_26.csv};
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\addplot[Black, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma,
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discard if gt={SNR}{5.5},
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discard if lt={SNR}{1},
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]
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{res/generic/fer_ml_bch_31_26.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{BCH code with $n=31, k=26$}
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\end{subfigure}%
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/proximal/2d_ber_fer_dfr_20455187.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/hybrid/2d_ber_fer_dfr_20455187.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
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{res/admm/ber_2d_20455187.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{$\left( 5, 10 \right)$-regular LDPC code with $n=204, k=102$
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\cite[\text{204.55.187}]{mackay_enc}}
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\end{subfigure}%
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/proximal/2d_ber_fer_dfr_pegreg252x504.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
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{res/hybrid/2d_ber_fer_dfr_pegreg252x504.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
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{res/admm/ber_2d_pegreg252x504.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{LDPC code (progressive edge growth construction) with $n=504, k=252$
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\cite[\text{PEGReg252x504}]{mackay_enc}}
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\end{subfigure}%
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\end{figure}
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\end{minipage}%
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\begin{minipage}[c]{0.1\textwidth}
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\centering
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\begin{figure}
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\centering
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\vspace*{-1.2cm}
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\hspace*{2mm}
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[hide axis,
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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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\addlegendimage{RedOrange, line width=1pt, mark=*, solid}
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\addlegendentry{Proximal}
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\addlegendimage{RedOrange, line width=1pt, mark=triangle*, densely dashed}
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\addlegendentry{Improved}
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\addlegendimage{NavyBlue, line width=1pt, mark=*}
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\addlegendentry{ADMM}
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% \addlegendimage{RoyalPurple, line width=1pt, mark=*}
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% \addlegendentry{BP}
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\addlegendimage{Black, line width=1pt, mark=*}
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\addlegendentry{ML}
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% \addlegendimage{PineGreen, line width=1pt, mark=triangle*, solid}
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% \addlegendentry{ML}
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\end{axis}
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\end{tikzpicture}
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\end{figure}
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\end{minipage}
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\end{frame}
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@ -160,7 +160,7 @@
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{Proximal Decoding: Improvement using \\``ML-in-the-List''}
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\frametitle{Comparison: Decoding Performance}
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\vspace{-0.5cm}
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@ -309,7 +309,7 @@
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{Decoding Performance}
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\frametitle{Comparison: Decoding Performance}
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\captionsetup[subfigure]{font=footnotesize}
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@ -568,7 +568,7 @@
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\label{sub:Theoretical Comparison}
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\begin{frame}[t, fragile]
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\frametitle{Comparison of Proximal Decoding and\\LP Decoding using ADMM}
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\frametitle{Comparison: Algorithm Structure}
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\vspace*{-1cm}
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@ -643,7 +643,7 @@ return $\tilde{\boldsymbol{c}}$
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t, fragile]
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\frametitle{Comparison of Proximal Decoding and\\LP Decoding using ADMM}
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\frametitle{Comparison: Algorithm Structure}
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\vspace*{-1cm}
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@ -41,7 +41,7 @@
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{LP Relaxation: Motivation}
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\frametitle{LP Decoding: Relaxation}
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\vspace*{-1cm}
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@ -194,7 +194,7 @@
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\end{frame}
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\begin{frame}[t]
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\frametitle{LP Relaxation}
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\frametitle{LP Decoding: Relaxation}
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\vspace*{-1cm}
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@ -435,7 +435,7 @@
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\begin{frame}[t]
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\frametitle{LP Relaxation}
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\frametitle{LP Decoding: Relaxation}
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\vspace{-5mm}
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@ -825,7 +825,7 @@
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\label{sub:Analysis of Simulation Results}
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\begin{frame}[t]
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\frametitle{LP Decoding using ADMM}
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\frametitle{LP Decoding using ADMM: Frame Error Rate}
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\begin{itemize}
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\item ``Margulis'' LDPC code with $n = 2640$, $k = 1320$
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@ -868,7 +868,7 @@
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\end{frame}
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\begin{frame}[t]
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\frametitle{LP Decoding using ADMM}
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\frametitle{LP Decoding using ADMM: Frame Error Rate}
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\begin{itemize}
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\item ``Margulis'' LDPC code with $n = 2640$, $k = 1320$
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@ -128,7 +128,7 @@ return $\boldsymbol{\hat{c}}$
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\begin{frame}[t]
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\frametitle{Proximal Decoding: Bit Error Rate and Performance}
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\frametitle{Proximal Decoding: Bit Error Rate}
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\begin{itemize}
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\item (3,6) regular LDPC code with $n=204, k=102$ \cite[\text{204.33.484}]{mackay_enc}
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@ -14,7 +14,6 @@
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optimality when the graph contains cycles \cite{ldpc_conv}
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\item The standard message-passing algorithms are often difficult to
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analyze \cite{feldman_thesis}
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\end{itemize}
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\end{frame}
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@ -128,9 +127,20 @@
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\vspace{5mm}
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\begin{itemize}
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\item Usage of ''$\sim$`` to denote change in domain, e.g.,
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$\tilde{\boldsymbol{x}}$, $\tilde{\boldsymbol{c}}$
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\item Usage of ''$\sim$`` to denote change in domain, e.g.
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\end{itemize}
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\vspace*{-2mm}
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\hspace*{-10mm}
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\begin{minipage}[c]{\textwidth}
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\centering
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\begin{align*}
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\boldsymbol{x} \in \left\{ -1, 1 \right\}^n &\rightarrow
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\tilde{\boldsymbol{x}} \in \mathbb{R}^n \\
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\boldsymbol{c} \in \left\{ 0, 1 \right\}^n &\rightarrow
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\tilde{\boldsymbol{c}} \in \left[ 0,1 \right]^n
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\end{align*}
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\end{minipage}
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\end{minipage}%
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\hfill%
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\begin{minipage}[c]{0.4\linewidth}
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