From 91cfdc730ead76012778bd27e7a1652aebaee25b Mon Sep 17 00:00:00 2001 From: Andreas Tsouchlos Date: Thu, 8 Dec 2022 12:02:12 +0100 Subject: [PATCH] Moved thesis files into separate thesis folder; Added presentation files --- .../02_12_2022/different_gammas_and_codes.pdf | Bin 0 -> 1149745 bytes .../presentations/02_12_2022/presentation.tex | 792 +++++++ .../res/2d_BER_FER_DFR_20433486alist.csv | 171 ++ .../res/2d_avg_err_10dB_20433486alist.csv | 2001 +++++++++++++++++ .../res/2d_avg_err_3dB_20433486alist.csv | 2001 +++++++++++++++++ .../res/2d_avg_err_5dB_20433486alist.csv | 2001 +++++++++++++++++ .../res/2d_avg_err_8dB_20433486alist.csv | 2001 +++++++++++++++++ ...2d_dec_fails_w_log_k_lin_20433486alist.csv | 42 + ...ec_fails_w_log_k_lin_20433486alist_pgf.csv | 1601 +++++++++++++ ...2d_dec_fails_w_log_k_lin_40833844alist.csv | 41 + ...ec_fails_w_log_k_lin_40833844alist_pgf.csv | 1601 +++++++++++++ .../2d_dec_fails_w_log_k_lin_963965alist.csv | 41 + ..._dec_fails_w_log_k_lin_963965alist_pgf.csv | 1601 +++++++++++++ ...d_dec_fails_w_log_k_lin_bch_31_11alist.csv | 41 + ...c_fails_w_log_k_lin_bch_31_11alist_pgf.csv | 1601 +++++++++++++ ...d_dec_fails_w_log_k_lin_bch_31_26alist.csv | 41 + ...c_fails_w_log_k_lin_bch_31_26alist_pgf.csv | 1601 +++++++++++++ .../2d_dec_fails_w_log_k_lin_bch_7_4alist.csv | 41 + ...dec_fails_w_log_k_lin_bch_7_4alist_pgf.csv | 1601 +++++++++++++ .../res/BER_FER_DFR_20433486alist.csv | 31 + .../02_12_2022/res/algorithm.png | Bin 0 -> 69261 bytes .../res/avg_err_val_10_dB_20433486alist.csv | 101 + .../res/avg_err_val_3dB_20433486alist.csv | 101 + .../res/avg_err_val_5dB_20433486alist.csv | 101 + .../res/avg_err_val_8_dB_20433486alist.csv | 101 + .../res/avg_grad_10dB_20433486alist.csv | 101 + .../res/avg_grad_3dB_20433486alist.csv | 101 + .../res/avg_grad_5dB_20433486alist.csv | 101 + .../res/avg_grad_8dB_20433486alist.csv | 101 + .../02_12_2022/res/paper_avg_error_10dB.png | Bin 0 -> 28259 bytes .../02_12_2022/res/paper_avg_error_8dB.png | Bin 0 -> 28201 bytes .../02_12_2022/res/paper_results.png | Bin 0 -> 58368 bytes latex/{ => thesis}/README.md | 0 latex/{ => thesis}/abbreviations.tex | 0 latex/{ => thesis}/bibliography.bib | 0 latex/{ => thesis}/cel-thesis/.gitignore | 0 latex/{ => thesis}/cel-thesis/IEEEabrv.bib | 0 .../cel-thesis/IEEEtranSA_own.bst | 0 latex/{ => thesis}/cel-thesis/cel-thesis.cls | 0 .../cel-thesis/eidesstattliche_erklaerung.tex | 0 .../cel-thesis/logos/cc-by-nc.png | Bin .../cel-thesis/logos/cel_logo.pdf | Bin .../cel-thesis/logos/kitlogo_de_rgb.pdf | Bin .../cel-thesis/logos/watermark_thesis.pdf | Bin latex/{ => thesis}/chapters/abstract.tex | 0 latex/{ => thesis}/chapters/conclusion.tex | 0 latex/{ => thesis}/chapters/introduction.tex | 0 latex/{ => thesis}/chapters/systemmodel.tex | 0 .../figures/polar_nbit_decoder.tex | 0 .../figures/polar_nbit_encoder_natural.tex | 0 latex/{ => thesis}/thesis-master.tex | 0 51 files changed, 19659 insertions(+) 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latex/presentations/02_12_2022/res/2d_dec_fails_w_log_k_lin_963965alist.csv create mode 100644 latex/presentations/02_12_2022/res/2d_dec_fails_w_log_k_lin_963965alist_pgf.csv create mode 100644 latex/presentations/02_12_2022/res/2d_dec_fails_w_log_k_lin_bch_31_11alist.csv create mode 100644 latex/presentations/02_12_2022/res/2d_dec_fails_w_log_k_lin_bch_31_11alist_pgf.csv create mode 100644 latex/presentations/02_12_2022/res/2d_dec_fails_w_log_k_lin_bch_31_26alist.csv create mode 100644 latex/presentations/02_12_2022/res/2d_dec_fails_w_log_k_lin_bch_31_26alist_pgf.csv create mode 100644 latex/presentations/02_12_2022/res/2d_dec_fails_w_log_k_lin_bch_7_4alist.csv create mode 100644 latex/presentations/02_12_2022/res/2d_dec_fails_w_log_k_lin_bch_7_4alist_pgf.csv create mode 100644 latex/presentations/02_12_2022/res/BER_FER_DFR_20433486alist.csv create mode 100644 latex/presentations/02_12_2022/res/algorithm.png create mode 100644 latex/presentations/02_12_2022/res/avg_err_val_10_dB_20433486alist.csv create mode 100644 latex/presentations/02_12_2022/res/avg_err_val_3dB_20433486alist.csv create mode 100644 latex/presentations/02_12_2022/res/avg_err_val_5dB_20433486alist.csv create mode 100644 latex/presentations/02_12_2022/res/avg_err_val_8_dB_20433486alist.csv create mode 100644 latex/presentations/02_12_2022/res/avg_grad_10dB_20433486alist.csv create mode 100644 latex/presentations/02_12_2022/res/avg_grad_3dB_20433486alist.csv create mode 100644 latex/presentations/02_12_2022/res/avg_grad_5dB_20433486alist.csv create mode 100644 latex/presentations/02_12_2022/res/avg_grad_8dB_20433486alist.csv create mode 100644 latex/presentations/02_12_2022/res/paper_avg_error_10dB.png create mode 100644 latex/presentations/02_12_2022/res/paper_avg_error_8dB.png create mode 100644 latex/presentations/02_12_2022/res/paper_results.png rename latex/{ => thesis}/README.md (100%) rename latex/{ => thesis}/abbreviations.tex (100%) rename latex/{ => thesis}/bibliography.bib (100%) rename latex/{ => thesis}/cel-thesis/.gitignore (100%) rename latex/{ => thesis}/cel-thesis/IEEEabrv.bib (100%) rename latex/{ => thesis}/cel-thesis/IEEEtranSA_own.bst (100%) rename latex/{ => thesis}/cel-thesis/cel-thesis.cls (100%) rename latex/{ => thesis}/cel-thesis/eidesstattliche_erklaerung.tex (100%) rename latex/{ => thesis}/cel-thesis/logos/cc-by-nc.png (100%) rename latex/{ => thesis}/cel-thesis/logos/cel_logo.pdf (100%) rename latex/{ => thesis}/cel-thesis/logos/kitlogo_de_rgb.pdf (100%) rename latex/{ => thesis}/cel-thesis/logos/watermark_thesis.pdf (100%) rename latex/{ => thesis}/chapters/abstract.tex (100%) rename latex/{ => thesis}/chapters/conclusion.tex (100%) rename latex/{ => thesis}/chapters/introduction.tex (100%) rename latex/{ => thesis}/chapters/systemmodel.tex (100%) rename latex/{ => thesis}/figures/polar_nbit_decoder.tex (100%) rename latex/{ => thesis}/figures/polar_nbit_encoder_natural.tex (100%) rename 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+ }, + discard if not/.style 2 args={ + x filter/.code={ + \edef\tempa{\thisrow{#1}} + \edef\tempb{#2} + \ifx\tempa\tempb + \else + \def\pgfmathresult{inf} + \fi + } + } +} + + +\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) + } +} +{} + + +\pgfplotsset{ + /pgfplots/colormap/mako/.style={ + colormap={mako}{ + rgb=(0.18195582, 0.11955283, 0.23136943) + rgb=(0.25307401, 0.23772973, 0.48316271) + rgb=(0.21607792, 0.39736958, 0.61948028) + rgb=(0.20344718, 0.56074869, 0.65649508) + rgb=(0.25187832, 0.71827158, 0.67872193) + rgb=(0.54578602, 0.8544913, 0.69848331) + } + }, + /pgfplots/colormap/rocket/.style={ + colormap={rocket}{ + rgb=(0.20973515, 0.09747934, 0.24238489) + rgb=(0.43860848, 0.12177004, 0.34119475) + rgb=(0.67824099, 0.09192342, 0.3504148) + rgb=(0.8833417, 0.19830556, 0.26014181) + rgb=(0.95381595, 0.46373781, 0.31769923) + rgb=(0.96516917, 0.70776351, 0.5606593) + } + }, + /pgfplots/colormap/cividis/.style={ + colormap={cividis}{ + rgb=(0.130669, 0.231458, 0.43284) + rgb=(0.298421, 0.332247, 0.423973) + rgb=(0.42512, 0.431334, 0.447692) + rgb=(0.555393, 0.537807, 0.471147) + rgb=(0.695985, 0.648334, 0.440072) + rgb=(0.849223, 0.771947, 0.359729) + } + }, + colormap/cividis, + colormap/mako, + colormap/rocket, +} + + +\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} diff --git a/latex/presentations/02_12_2022/res/2d_BER_FER_DFR_20433486alist.csv b/latex/presentations/02_12_2022/res/2d_BER_FER_DFR_20433486alist.csv new file mode 100644 index 0000000..4539a2a --- /dev/null +++ b/latex/presentations/02_12_2022/res/2d_BER_FER_DFR_20433486alist.csv @@ -0,0 +1,171 @@ +BER,FER,DFR,gamma,SNR,num_iter +0.12837313143079013,1.0,0.5,0.0,1.0,101.0 +0.11754999029314696,1.0,0.5,0.0,1.5,101.0 +0.10032032615026208,1.0,0.5,0.0,2.0,101.0 +0.09109881576392934,1.0,0.5,0.0,2.5,101.0 +0.07891671520093185,1.0,0.5,0.0,3.0,101.0 +0.06988934187536401,1.0,0.5,0.0,3.5,101.0 +0.0594059405940594,1.0,0.5,0.0,4.0,101.0 +0.04615608619685498,1.0,0.5,0.0,4.5,101.0 +0.04062317996505533,1.0,0.5,0.0,5.0,101.0 +0.02965443603183848,1.0,0.5,0.0,5.5,101.0 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