\documentclass[10pt, aspectratio=169]{beamer}

\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
% \usepackage[ngerman]{babel}
%\usepackage{amsmath}
\usepackage{float}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usepackage{subcaption}
\usepackage{listings}
\usepackage{graphicx}
\usepackage{xcolor}
\usepgfplotslibrary{colorbrewer}
\usepgfplotslibrary{external} 
\tikzexternalize[prefix=build/]


\newcommand{\templates}{../lib}

% packages to be included
\input{\templates/packages.tex}

% modifications to stick to new KIT style
\input{\templates/modifications.tex}

% marcos used throughout the slides
\input{\templates/makros_own.tex}



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    discard if/.style 2 args={
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\DeclareCaptionLabelFormat{algocaption}{Algorithm} % defines a new caption label as Algorithm x.y

\lstnewenvironment{algorithm}[1][] %defines the algorithm listing environment
{   
    \captionsetup{labelformat=algocaption,labelsep=colon} %defines the caption setup for: it ises label format as the declared caption label above and makes label and caption text to be separated by a ':'
    \lstset{ %this is the stype
        mathescape=true,
        frame=tB,
        numbers=left, 
        numberstyle=\tiny,
        basicstyle=\tiny\normalfont,
        columns=fullflexible,
        keywordstyle=\color{black}\bfseries,
        keywords={a, for, end, do, b} %add the keywords you want, or load a language as Rubens explains in his comment above.
        numbers=left,
        xleftmargin=.04\textwidth,
        #1 % this is to add specific settings to an usage of this environment (for instnce, the caption and referable label)
    }
}
{}


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\title{BA Besprechung}
\author{Andreas Tsouchlos}

\begin{document}
	\frame{\titlepage}


	% ================================
	% BER
	% ================================


	\begin{frame}[t]
		\frametitle{Proximal Decoder}
		\framesubtitle{BER ($\omega = 0.05, K=200, \eta = 1.5$)}

		\begin{figure}[H]
			\centering

			\begin{subfigure}{0.5\textwidth}
				\centering
			
				
				\begin{tikzpicture}[scale=0.52]
					\begin{semilogyaxis}[xlabel={SNR},ylabel={BER}, grid=both, grid style={line width=.1pt}, legend style={at={(0.05,0.05)},anchor=south west}]
						\foreach \gamma in {0.01, 0.05, 0.15}{
							\addplot table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{\gamma}] {res/BER_FER_DFR_20433486alist.csv};
							\legend{\gamma}
						}
						\legend{$\gamma=0.01$, $\gamma=0.05$, $\gamma=0.15$}
					\end{semilogyaxis}
				\end{tikzpicture}
				\caption{BER of 204.33.486}
			
			\end{subfigure}%
			\begin{subfigure}{0.5\textwidth}
				\centering
			
				\includegraphics[scale=0.215]{res/paper_results}
			
				\caption{Results from ``Prox. Dec. for LDPC Codes''}
			\end{subfigure}
			
		\end{figure}
	\end{frame}
	


	% ================================
	% Average Error value
	% ================================


    \begin{frame}[t]
        \frametitle{Proximal Decoder}
        \framesubtitle{Average Error Value ($\omega = 0.05, \gamma = 0.05, \eta=1.5$)}

        \begin{figure}[H]
            \centering
            
            \begin{subfigure}{0.5\textwidth}
                \centering
            
                \begin{tikzpicture}[scale=0.4]
                    \begin{axis}[grid=both, grid style={line width=.1pt}, xlabel={k}, ylabel={Average $ \left| \boldsymbol{x} - \boldsymbol{\hat{x}} \right| $}, xtick={0, 25, ..., 100}]
                        \addplot table [x=k, y=err, col sep=comma, mark=none] {res/avg_err_val_8_dB_20433486alist.csv};
                    \end{axis}
                \end{tikzpicture}
                
                \includegraphics[scale=0.2]{res/paper_avg_error_8dB}
            
                \caption{$\text{SNR} = 8dB$}
            \end{subfigure}%
            \begin{subfigure}{0.5\textwidth}
                \centering
            
                \begin{tikzpicture}[scale=0.4]
                    \begin{axis}[grid=both, grid style={line width=.1pt}, xlabel={k}, ylabel={Average $ \left| \boldsymbol{x} - \boldsymbol{\hat{x}} \right| $}, xtick={0, 25, ..., 100}]
                        \addplot table [x=k, y=err, col sep=comma, mark=none] {res/avg_err_val_10_dB_20433486alist.csv};
                    \end{axis}
                \end{tikzpicture}
                
                \includegraphics[scale=0.2]{res/paper_avg_error_10dB}
            
                \caption{$\text{SNR} = 10dB$}
            \end{subfigure}
        \end{figure}
    \end{frame}
	

    % ================================
    % 3d Average error
	% ================================


    \begin{frame}[t, fragile]
        \frametitle{Proximal Decoder}
        \framesubtitle{Average Error Value ($\text{SNR}=8dB, \gamma = 0.05, \eta = 1.5$)}

        \begin{figure}[H]
            \centering
            
            \begin{subfigure}[c]{0.5\textwidth}
                \centering
            
                \begin{subfigure}{0.5\textwidth}
                    \centering
                
                    \begin{tikzpicture}[scale=0.4]
                        \begin{axis}[grid=both, grid style={line width=.1pt}, xlabel={k}, ylabel={Average $ \left| \boldsymbol{x} - \boldsymbol{\hat{x}} \right| $}, xtick={0, 25, ..., 100}]
                            \addplot table [x=k, y=err, col sep=comma, mark=none] {res/avg_err_val_8_dB_20433486alist.csv};
                        \end{axis}
                    \end{tikzpicture}
                \end{subfigure}

                \vspace{5mm}

                \begin{subfigure}{0.5\textwidth}
                    \centering
                
                    \begin{tikzpicture}[scale=0.52]
                        \begin{semilogyaxis}[view={35}{60}, xlabel={$\textcolor{orange}{k}$}, ylabel={$\textcolor{red}{\omega}$}, zlabel={Average $\left| \boldsymbol{x} - \boldsymbol{\hat{x}} \right| $}, point meta min = -0.5, point meta max = 5]
                            \addplot3[surf, mesh/rows=50, mesh/cols=40] table [col sep=comma] {res/2d_avg_err_8dB_20433486alist.csv};
                            \addplot3[mark=none, blue, line width=1] table [col sep=comma, discard if not={omega}{0.052233450742668434}] {res/2d_avg_err_8dB_20433486alist.csv};
                            \addlegendentry{\tiny $n=204, k=102, r=0.5$}
                        \end{semilogyaxis}
                    \end{tikzpicture}
                \end{subfigure}
            \end{subfigure}%
            \begin{subfigure}[c]{0.5\textwidth}
                \centering

				\begin{algorithm}[caption={}, label={}]
$\boldsymbol{s}^{\left( 0 \right)} = \boldsymbol{0}$
for $\textcolor{orange}{k}=0$ to $K-1$ do
    $\boldsymbol{r}^{\left( k+1 \right)} = \boldsymbol{s}^{(k)} - \textcolor{red}{\omega} \nabla L \left( \boldsymbol{s}^{(k)}; \boldsymbol{y} \right) $
    Compute $\nabla h\left( \boldsymbol{r}^{\left( k+1 \right) } \right)$
    $\boldsymbol{s}^{\left( k+1 \right)} = \boldsymbol{r}^{(k+1)} - \gamma \nabla h\left( \boldsymbol{r}^{\left( k+1 \right) } \right) $
    $\boldsymbol{\hat{x}} = \text{sign}\left( \boldsymbol{s}^{\left( k+1 \right) } \right) $
    If $\boldsymbol{\hat{x}}$ passes the parity check condition, break the loop.
end for
Output $\boldsymbol{\hat{x}}$
				\end{algorithm}
                
            \end{subfigure}
        \end{figure}
    \end{frame}

    
    % ================================
    % Average Gradient of H
	% ================================


    \begin{frame}[t]
        \frametitle{Proximal Decoder}
        \framesubtitle{Average $\left| \nabla h \right|$ and $\left| \nabla L \right|$ ($\omega = 0.05, \gamma = 0.05, \eta = 1.5$)}

        \begin{figure}[H]
            \centering
            
            \begin{subfigure}{0.5\textwidth}
                \centering
            
                \begin{tikzpicture}[scale=0.52]
                    \begin{axis}[grid=both, grid style={line width=.1pt}, xlabel={k}, xtick={0, 25, ..., 100}]
                        \addplot table [x=k, y=grad_h, col sep=comma, mark=none] {res/avg_grad_8dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla h \right| $}
                        \addplot table [x=k, y=grad_l, col sep=comma, mark=none] {res/avg_grad_8dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla L \right| $}
                    \end{axis}
                \end{tikzpicture}
                
                \caption{$\text{SNR} = 8dB$}
            \end{subfigure}%
            \begin{subfigure}{0.5\textwidth}
                \centering
            
                \begin{tikzpicture}[scale=0.52]
                    \begin{axis}[grid=both, grid style={line width=.1pt}, xlabel={k}, xtick={0, 25, ..., 100}]
                        \addplot table [x=k, y=grad_h, col sep=comma, mark=none] {res/avg_grad_10dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla h \right| $}
                        \addplot table [x=k, y=grad_l, col sep=comma, mark=none] {res/avg_grad_10dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla L \right| $}
                    \end{axis}
                \end{tikzpicture}
                
                \caption{$\text{SNR} = 10dB$}
            \end{subfigure}
            
        \end{figure}
        
    \end{frame}


	% ================================
	% BER vs FER vs Decoding Failure Rate
	% ================================
	

	\begin{frame}[t]
		\frametitle{Proximal Decoder}

		\framesubtitle{BER vs FER vs Decoding Failure Rate ($\omega = 0.05, K=200, \eta = 1.5$)}

		\begin{figure}[H]
			\centering
			\begin{subfigure}{0.32\textwidth}
				\centering
				\begin{tikzpicture}[scale=0.52]
					\begin{semilogyaxis}[xlabel={SNR},ylabel={BER}, ymin=8e-5, ymax=2e0, grid=both, grid style={line width=.1pt}, legend style={at={(0.05,0.05)},anchor=south west}]
						\foreach \gamma in {0.01, 0.05, 0.15}{
							\addplot table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{\gamma}] {res/BER_FER_DFR_20433486alist.csv};
						}
						\legend{$\gamma=0.01$, $\gamma=0.05$, $\gamma=0.15$}
					\end{semilogyaxis}
				\end{tikzpicture}
				\caption{BER of 204.33.486}
			\end{subfigure}%
			\begin{subfigure}{0.32\textwidth}
				\centering
				\begin{tikzpicture}[scale=0.52]
					\begin{semilogyaxis}[xlabel={SNR},ylabel={FER}, ymin=8e-5, ymax=2e0, grid=both, grid style={line width=.1pt}, legend style={at={(0.05,0.05)},anchor=south west}]
						\foreach \gamma in {0.01, 0.05, 0.15}{
							\addplot table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{\gamma}] {res/BER_FER_DFR_20433486alist.csv};
						}
						\legend{$\gamma=0.01$, $\gamma=0.05$, $\gamma=0.15$}
					\end{semilogyaxis}
				\end{tikzpicture}
				\caption{FER of 204.33.486}
			\end{subfigure}%
			\begin{subfigure}{0.32\textwidth}
				\centering
				\begin{tikzpicture}[scale=0.52]
					\begin{semilogyaxis}[xlabel={SNR},ylabel={DFR}, ymin=8e-5, ymax=2e0, grid=both, grid style={line width=.1pt}, legend style={at={(0.05,0.05)},anchor=south west}]
						\foreach \gamma in {0.01, 0.05, 0.15}{
							\addplot table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{\gamma}] {res/BER_FER_DFR_20433486alist.csv};
						}
						\legend{$\gamma=0.01$, $\gamma=0.05$, $\gamma=0.15$}
					\end{semilogyaxis}
				\end{tikzpicture}
				\caption{DFR of 204.33.486}
			\end{subfigure}
		\end{figure}
	\end{frame}

	
    % ================================
	% Average Error multiple SNRs
	% ================================


    \begin{frame}[t]
        \frametitle{Proximal Decoder}
        \framesubtitle{Average Error Value ($\omega = 0.05, \gamma = 0.05, \eta = 1.5$)}

        \begin{figure}[H]
            \centering

            \begin{subfigure}{0.5\textwidth}
                \centering

                \begin{tikzpicture}[scale=0.52]
                    \begin{axis}[grid=both, reverse legend, grid style={line width=.1pt}, xlabel={k}, ylabel={Average $ \left| \boldsymbol{x} - \boldsymbol{\hat{x}} \right| $}, xtick={0, 25, ..., 100}]
                        \addplot table [x=k, y=err, col sep=comma, mark=none] {res/avg_err_val_8_dB_20433486alist.csv};
                        \addplot table [x=k, y=err, col sep=comma, mark=none] {res/avg_err_val_5dB_20433486alist.csv};
                        \addplot table [x=k, y=err, col sep=comma, mark=none] {res/avg_err_val_3dB_20433486alist.csv};
                        \addlegendentry{$\text{SNR=8dB}$}
                        \addlegendentry{$\text{SNR=5dB}$}
                        \addlegendentry{$\text{SNR=3dB}$}
                    \end{axis}
                \end{tikzpicture}
                    
            \end{subfigure}%
            \begin{subfigure}{0.5\textwidth}
                \centering
                
                \begin{tikzpicture}[scale=0.6]
                    \begin{axis}[reverse legend, xlabel={$K$}, ylabel={$\omega$}, xtick={20, 60, 100, 140, 180}, ytick={1e-9, 1e-6, 1e-3, 1e-0}, zlabel={Average $\left| \boldsymbol{x} - \boldsymbol{\hat{x}} \right| $}, view={35}{60}, point meta min=-2, point meta max=8, ymode=log,]
                        \addplot3[surf, mesh/rows=50, mesh/cols=40, colormap/mako] table [col sep=comma] {res/2d_avg_err_8dB_20433486alist.csv};
                        \addlegendentry{\tiny $\text{SNR} = 8dB$}
                        \addplot3[surf, mesh/rows=50, mesh/cols=40, colormap/rocket] table [col sep=comma] {res/2d_avg_err_5dB_20433486alist.csv};
                        \addlegendentry{\tiny $\text{SNR} = 5dB$}
                        \addplot3[surf, mesh/rows=50, mesh/cols=40, colormap/cividis] table [col sep=comma] {res/2d_avg_err_3dB_20433486alist.csv};
                        \addlegendentry{\tiny $\text{SNR} = 3dB$}
                    \end{axis}
                \end{tikzpicture}
            
            \end{subfigure}
        \end{figure}
    \end{frame}


    % ================================
	% Average Error multiple SNRs
	% ================================


    \begin{frame}[t]
        \frametitle{Proximal Decoder}
        \framesubtitle{Average $\left| \nabla h \right| $ and $\left| \nabla L \right| $, ($\omega = 0.05, \gamma = 0.05, \eta = 1.5$)}
        
        \begin{figure}[H]
            \centering
            
            \begin{subfigure}{0.5\textwidth}
                \centering
            
                \begin{tikzpicture}[scale=0.4]
                    \begin{axis}[grid=both, xlabel={k}, xtick={0, 25, ..., 100}]
                        \addplot table[mark=none, col sep=comma, x=k, y=grad_h] {res/avg_grad_3dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla h \right| $}
                        \addplot table[mark=none, col sep=comma, x=k, y=grad_l] {res/avg_grad_3dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla L \right| $}
                    \end{axis}
                \end{tikzpicture}

                \caption{$\text{SNR}=3dB$}
            \end{subfigure}%
            \begin{subfigure}{0.5\textwidth}
                \centering

                \begin{tikzpicture}[scale=0.4]
                    \begin{axis}[grid=both, xlabel={k}, xtick={0, 25, ..., 100}]
                        \addplot table[mark=none, col sep=comma, x=k, y=grad_h] {res/avg_grad_5dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla h \right| $}
                        \addplot table[mark=none, col sep=comma, x=k, y=grad_l] {res/avg_grad_5dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla L \right| $}
                    \end{axis}
                \end{tikzpicture}

                \caption{$\text{SNR}=5dB$}
            
            \end{subfigure}

            \begin{subfigure}{0.5\textwidth}
                \centering

                \begin{tikzpicture}[scale=0.4]
                    \begin{axis}[grid=both, xlabel={k}, xtick={0, 25, ..., 100}]
                        \addplot table[mark=none, col sep=comma, x=k, y=grad_h] {res/avg_grad_8dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla h \right| $}
                        \addplot table[mark=none, col sep=comma, x=k, y=grad_l] {res/avg_grad_8dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla L \right| $}
                    \end{axis}
                \end{tikzpicture}

                \caption{$\text{SNR}=8dB$}
            
            \end{subfigure}%
            \begin{subfigure}{0.5\textwidth}
                \centering
                
                \begin{tikzpicture}[scale=0.4]
                    \begin{axis}[grid=both, xlabel={k}, xtick={0, 25, ..., 100}]
                        \addplot table[mark=none, col sep=comma, x=k, y=grad_h] {res/avg_grad_10dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla h \right| $}
                        \addplot table[mark=none, col sep=comma, x=k, y=grad_l] {res/avg_grad_10dB_20433486alist.csv};
                        \addlegendentry{$\left| \nabla L \right| $}
                    \end{axis}
                \end{tikzpicture}

                \caption{$\text{SNR}=10dB$}
            \end{subfigure}
        \end{figure}
    \end{frame}

    \begin{frame}[t]
        \frametitle{Proximal Decoder}
        \framesubtitle{BER ($\omega = 0.05, \eta = 1.5, K = 100$)}
        

        \begin{figure}[H]
            \centering
            
            \begin{subfigure}[c]{0.5\textwidth}
                \centering
           
                \begin{tikzpicture}[scale=0.52]
                    \begin{semilogyaxis}[xlabel={SNR},ylabel={BER}, grid=both, grid style={line width=.1pt}, legend style={at={(0.05,0.05)},anchor=south west}]
                        \foreach \gamma in {0.01, 0.05, 0.15}{
                            \addplot table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{\gamma}] {res/BER_FER_DFR_20433486alist.csv};
                            \legend{\gamma}
                        }
                        \legend{$\gamma=0.01$, $\gamma=0.05$, $\gamma=0.15$}
                    \end{semilogyaxis}
                \end{tikzpicture}
            \end{subfigure}%
            \begin{subfigure}[c]{0.5\textwidth}
                \centering
            
                \begin{tikzpicture}[scale=0.7]
                    \begin{axis}[view={75}{60}, zmode=log, xlabel={SNR}, ylabel={$\gamma$}, zlabel={BER}]
                        \addplot3[surf, mesh/rows=17, mesh/cols=10, colormap/mako] table [col sep=comma, x=SNR, y=gamma, z=BER] {res/2d_BER_FER_DFR_20433486alist.csv};
                        \addlegendentry{$\gamma = \left[ 0\text{:}.01\text{:}.16 \right] $}
                        \addplot3[red, line width=1.5] table[col sep=comma, discard if not={gamma}{0.05}, x=SNR, y=gamma, z=BER] {res/2d_BER_FER_DFR_20433486alist.csv};
                        \addlegendentry{$\gamma = 0.05$}
                        \addplot3[blue, line width=1.5] table[col sep=comma, discard if not={gamma}{0.01}, x=SNR, y=gamma, z=BER] {res/2d_BER_FER_DFR_20433486alist.csv};
                        \addlegendentry{$\gamma = 0.01$}
                        \addplot3[brown, line width=1.5] table[col sep=comma, discard if not={gamma}{0.15}, x=SNR, y=gamma, z=BER] {res/2d_BER_FER_DFR_20433486alist.csv};
                        \addlegendentry{$\gamma = 0.15$}
                    \end{axis}
                \end{tikzpicture}
                
            
            \end{subfigure}
        \end{figure}

    \end{frame}

%    \begin{frame}[t]
%        \frametitle{Proximal Decoder}
%        \framesubtitle{Average Error Value ($\gamma = 0.05, \eta = 1.5$)}
%
%        \begin{figure}[H]
%            \centering
%           
%            \begin{subfigure}{0.5\textwidth}
%                \centering
%            
%                \begin{tikzpicture}[scale=0.4]
%                    \begin{semilogyaxis}[view={35}{60}, xlabel={$\textcolor{blue}{K}$}, ylabel={$\textcolor{red}{\omega}$}]
%                        \addplot3[surf, mesh/rows=50, mesh/cols=40] table [col sep=comma] {res/2d_avg_err_3dB_20433486alist.csv};
%                        \addlegendentry{\tiny $n=204, k=102, r=0.5$}
%                    \end{semilogyaxis}
%                \end{tikzpicture}
%                 
%                \caption{$\text{SNR} = 3dB$}
%            \end{subfigure}%
%            \begin{subfigure}{0.5\textwidth}
%                \centering
%            
%                \begin{tikzpicture}[scale=0.4]
%                    \begin{semilogyaxis}[view={35}{60}, xlabel={$\textcolor{blue}{K}$}, ylabel={$\textcolor{red}{\omega}$}]
%                        \addplot3[surf, mesh/rows=50, mesh/cols=40] table [col sep=comma] {res/2d_avg_err_5dB_20433486alist.csv};
%                        \addlegendentry{\tiny $n=204, k=102, r=0.5$}
%                    \end{semilogyaxis}
%                \end{tikzpicture}
%                
%            
%                \caption{$\text{SNR} = 5dB$}
%            \end{subfigure}
%
%            \begin{subfigure}{0.5\textwidth}
%                \centering
%            
%                \begin{tikzpicture}[scale=0.4]
%                    \begin{semilogyaxis}[view={35}{60}, xlabel={$\textcolor{blue}{K}$}, ylabel={$\textcolor{red}{\omega}$}]
%                        \addplot3[surf, mesh/rows=50, mesh/cols=40] table [col sep=comma] {res/2d_avg_err_8dB_20433486alist.csv};
%                        \addlegendentry{\tiny $n=204, k=102, r=0.5$}
%                    \end{semilogyaxis}
%                \end{tikzpicture}
%                 
%                \caption{$\text{SNR} = 8dB$}
%            \end{subfigure}%
%            \begin{subfigure}{0.5\textwidth}
%                \centering
%            
%                \begin{tikzpicture}[scale=0.4]
%                    \begin{semilogyaxis}[view={35}{60}, xlabel={$\textcolor{blue}{K}$}, ylabel={$\textcolor{red}{\omega}$}]
%                        \addplot3[surf, mesh/rows=50, mesh/cols=40] table [col sep=comma] {res/2d_avg_err_10dB_20433486alist.csv};
%                        \addlegendentry{\tiny $n=204, k=102, r=0.5$}
%                    \end{semilogyaxis}
%                \end{tikzpicture}
%                
%            
%                \caption{$\text{SNR} = 10dB$}
%            \end{subfigure}
%        \end{figure}
%    \end{frame}


%	% ================================
%	% Decoding Failure Rate 3d
%	% ================================
%
%
%	\begin{frame}[fragile, t]
%		\frametitle{Proximal Decoder}
%        \framesubtitle{Decoding Failure Rate ($\text{SNR} = 3dB, \gamma = 0.05$)}
%
%		\begin{figure}[H]
%			\centering
%		
%			\begin{subfigure}{0.5\textwidth}
%				\centering
%						
%				\begin{tikzpicture}[scale=0.6]
%					\begin{semilogyaxis}[xlabel={$\textcolor{blue}{K}$}, ylabel={$\textcolor{red}{\omega}$}, xtick={20, 60, 100, 140, 180}, ytick={1e-9, 1e-6, 1e-3, 1e-0}, zlabel={DFR}, view={35}{60}, point meta min=0, point meta max=1]
%						\addplot3[surf, mesh/rows=40, mesh/cols=40] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_20433486alist_pgf.csv};
%						\addlegendentry{\tiny $n=204, k=102, r=0.5$}
%					\end{semilogyaxis}
%				\end{tikzpicture}
%			
%				\caption{DFR of 204.33.486}
%			\end{subfigure}%
%			\begin{subfigure}{0.5\textwidth}
%				\centering
%		
%				\begin{algorithm}[caption={}, label={}]
%$\boldsymbol{s}^{\left( 0 \right)} = \boldsymbol{0}$
%for $k=0$ to $\textcolor{blue}{K}-1$ do
%    $\boldsymbol{r}^{\left( k+1 \right)} = \boldsymbol{s}^{(k)} - \textcolor{red}{\omega} \nabla L \left( \boldsymbol{s}^{(k)}; \boldsymbol{y} \right) $
%    Compute $\nabla h\left( \boldsymbol{r}^{\left( k+1 \right) } \right)$
%    $\boldsymbol{s}^{\left( k+1 \right)} = \boldsymbol{r}^{(k+1)} - \gamma \nabla h\left( \boldsymbol{r}^{\left( k+1 \right) } \right) $
%    $\boldsymbol{\hat{x}} = \text{sign}\left( \boldsymbol{s}^{\left( k+1 \right) } \right) $
%    If $\boldsymbol{\hat{x}}$ passes the parity check condition, break the loop.
%end for
%Output $\boldsymbol{\hat{x}}$
%
%				\end{algorithm}
%			
%				\caption{Proximal decoding algorithm}
%			\end{subfigure}	
%		\end{figure}		
%	\end{frame}
%
%	% ================================
%	% Decoding Failure Rate
%	% ================================
%
%%	\begin{frame}[t]
%%		\frametitle{Proximal Decoder}
%%		\framesubtitle{Decoding Failure Rate}
%%
%%		\begin{figure}[H]
%%			\centering
%%			
%%			\begin{subfigure}{0.32\textwidth}
%%				\centering
%%			
%%				\begin{tikzpicture}[scale=0.4]
%%					\begin{semilogyaxis}[colorbar, xlabel={$K$}, ylabel={$\omega$}, at={(0,0)}, view={0}{90}, point meta min=0, point meta max=1]
%%						\addplot3[surf, shader=flat, mesh/rows=40, mesh/cols=40] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_bch_7_4alist_pgf.csv};
%%					\end{semilogyaxis}
%%				\end{tikzpicture}
%%			
%%				\caption{DFR of BCH 7 4}
%%			\end{subfigure}%
%%			\begin{subfigure}{0.32\textwidth}
%%				\centering
%%			
%%				\begin{tikzpicture}[scale=0.4]
%%					\begin{semilogyaxis}[colorbar, xlabel={$K$}, ylabel={$\omega$}, at={(0,0)}, view={0}{90}, point meta min=0, point meta max=1]
%%						\addplot3[surf, shader=flat, mesh/rows=40, mesh/cols=40] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_bch_31_26alist_pgf.csv};
%%					\end{semilogyaxis}
%%				\end{tikzpicture}
%%			
%%				\caption{DFR of BCH 31 26}
%%			\end{subfigure}%
%%			\begin{subfigure}{0.32\textwidth}
%%				\centering
%%			
%%				\begin{tikzpicture}[scale=0.4]
%%					\begin{semilogyaxis}[colorbar, xlabel={$K$}, ylabel={$\omega$}, at={(0,0)}, view={0}{90}, point meta min=0, point meta max=1]
%%						\addplot3[surf, shader=flat, mesh/rows=40, mesh/cols=40] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_bch_31_11alist_pgf.csv};
%%					\end{semilogyaxis}
%%				\end{tikzpicture}
%%			
%%				\caption{DFR of BCH 31 11}
%%			\end{subfigure}
%%
%%			\begin{subfigure}{0.32\textwidth}
%%				\centering
%%			
%%				\begin{tikzpicture}[scale=0.4]
%%					\begin{semilogyaxis}[colorbar, xlabel={$K$}, ylabel={$\omega$}, at={(0,0)}, view={0}{90}, point meta min=0, point meta max=1]
%%						\addplot3[surf, shader=flat, mesh/rows=40, mesh/cols=40] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_963965alist_pgf.csv};
%%					\end{semilogyaxis}
%%				\end{tikzpicture}
%%			
%%				\caption{DFR of 96.3.965}
%%			\end{subfigure}%
%%			\begin{subfigure}{0.32\textwidth}
%%				\centering
%%			
%%				\begin{tikzpicture}[scale=0.4]
%%					\begin{semilogyaxis}[colorbar, xlabel={$K$}, ylabel={$\omega$}, at={(0,0)}, view={0}{90}, point meta min=0, point meta max=1]
%%						\addplot3[surf, shader=flat, mesh/rows=40, mesh/cols=40] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_20433486alist_pgf.csv};
%%					\end{semilogyaxis}
%%				\end{tikzpicture}
%%			
%%				\caption{DFR of 204.33.486}
%%			\end{subfigure}%
%%			\begin{subfigure}{0.32\textwidth}
%%				\centering
%%			
%%				\begin{tikzpicture}[scale=0.4]
%%					\begin{semilogyaxis}[colorbar, xlabel={$K$}, ylabel={$\omega$}, at={(0,0)}, view={0}{90}, point meta min=0, point meta max=1]
%%						\addplot3[surf, shader=flat, mesh/rows=40, mesh/cols=40] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_40833844alist_pgf.csv};
%%					\end{semilogyaxis}
%%				\end{tikzpicture}
%%			
%%				\caption{DFR of 408.33.844}
%%			\end{subfigure}
%%		\end{figure}
%%	\end{frame}
%
%	\begin{frame}[t]
%		\frametitle{Proximal Decoder}
%        \framesubtitle{Decoding Failure Rate ($\text{SNR}=3dB, \gamma = 0.05$)}
%		
%		
%		\begin{figure}
%			\centering			
%			\begin{subfigure}{0.5\textwidth}
%				\centering
%			
%				\begin{tikzpicture}[scale=0.6]
%					\begin{axis}[colorbar, reverse legend, xlabel={$K$}, ylabel={$\omega$}, xtick={20, 60, 100, 140, 180}, ytick={1e-9, 1e-6, 1e-3, 1e-0}, zlabel={DFR}, view={35}{60}, point meta min=0, point meta max=1, ymode=log,
%    colorbar style={
%    colormap/mako,
%    at={(1.1, 1)},
%    ytick={-1, -0.5}
%    },
%    colorbar/draw/.append code={
%      \begin{axis}[
%        every colorbar,
%        colormap/rocket,
%        point meta min=0,
%        point meta max=1,
%        at={(1.2,1)},
%    	ytick={-1, -0.5},
%      ]
%        \pgfkeysvalueof{/pgfplots/colorbar addplot}
%      \end{axis}
%      \begin{axis}[
%        every colorbar,
%        colormap/cividis,
%        point meta min=0,
%        point meta max=1,
%        at={(1.3,1)},
%    	ytick={0, 0.2, ..., 1},
%      ]
%        \pgfkeysvalueof{/pgfplots/colorbar addplot}
%      \end{axis}
%}]
%						\addplot3[surf, mesh/rows=40, mesh/cols=40, colormap/mako] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_bch_7_4alist_pgf.csv};
%						\addlegendentry{\tiny $n=7, k=4, r=0.57$}
%						\addplot3[surf, mesh/rows=40, mesh/cols=40, colormap/rocket] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_bch_31_26alist_pgf.csv};
%						\addlegendentry{\tiny $n=31, k=26, r=0.84$}
%						\addplot3[surf, mesh/rows=40, mesh/cols=40, colormap/cividis] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_bch_31_11alist_pgf.csv};
%						\addlegendentry{\tiny $n=31, k=11, r=0.35$}
%					\end{axis}
%				\end{tikzpicture}
%			\end{subfigure}%
%			\begin{subfigure}{0.5\textwidth}
%				\centering
%			
%				\begin{tikzpicture}[scale=0.6]
%					\begin{semilogyaxis}[reverse legend, xlabel={$K$}, ylabel={$\omega$}, xtick={20, 60, 100, 140, 180}, ytick={1e-9, 1e-6, 1e-3, 1e-0}, zlabel={DFR}, view={35}{60}, point meta min=0, point meta max=1, colorbar, colorbar style={
%    colormap/mako,
%	at={(1.1, 1)},
%    ytick={-1, -0.5}
%    },
%    colorbar/draw/.append code={
%      \begin{axis}[
%        every colorbar,
%        colormap/rocket,
%        point meta min=0,
%        point meta max=1,
%        at={(1.2,1)},
%    	ytick={-1, -0.5},
%      ]
%        \pgfkeysvalueof{/pgfplots/colorbar addplot}
%      \end{axis}
%      \begin{axis}[
%        every colorbar,
%        colormap/cividis,
%        point meta min=0,
%        point meta max=1,
%        at={(1.3,1)},
%    	ytick={0, 0.2, ..., 1},
%      ]
%        \pgfkeysvalueof{/pgfplots/colorbar addplot}
%      \end{axis}
%    }
%    ]
%						\addplot3[surf, mesh/rows=40, mesh/cols=40, colormap/mako] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_963965alist_pgf.csv};
%						\addlegendentry{\tiny $n=96, k=48, r=0.5$}
%						\addplot3[surf, mesh/rows=40, mesh/cols=40, colormap/rocket] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_20433486alist_pgf.csv};
%						\addlegendentry{\tiny $n=204, k=102, r=0.5$}
%						\addplot3[surf, mesh/rows=40, mesh/cols=40, colormap/cividis] table [col sep=comma] {res/2d_dec_fails_w_log_k_lin_40833844alist_pgf.csv};
%						\addlegendentry{\tiny $n=408, k=204, r=0.5$}
%					\end{semilogyaxis}
%				\end{tikzpicture}
%			\end{subfigure}	
%		\end{figure}
%	\end{frame}
\end{document}