Finished gradient oscillation slide

latex/presentations/midterm/res/proximal/extreme_components_20433484_variance.csv

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latex/presentations/midterm/sections/examination_results.tex

@@ -646,7 +646,7 @@ Output $\boldsymbol{\hat{x}}$
             \end{tikzpicture}
         \end{minipage}
 
-        \caption{Internal variables of proximal decoder as a function of $k$\footnotemark}
+        \caption{Internal variables of proximal decoder as a function of $k$ ($n=7$)\footnotemark}
 
         \footnotetext{A single decoding is shown, using the BCH$\left( 7,4 \right) $ code;
                       $\gamma = 0.05, \omega = 0.05, E_b / N_0 = \SI{5}{dB}$}
@@ -657,12 +657,78 @@ Output $\boldsymbol{\hat{x}}$
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \begin{frame}[t]
     \frametitle{Proximal Decoder: Oscillation of $\nabla h\left( \boldsymbol{x} \right) $}
+    \setcounter{footnote}{0} 
    
     \begin{itemize}
         \item For larger $n$, the Gradient itself starts to oscillate
+        \item The Amplitude of the oscillation seems to be highly correlated
+              with the probability of a bit error
     \end{itemize}
 
-    \todo{Add grad oscillation plot}
+    \todo{Fix $K=200\ne 400$}
+
+    \begin{figure}
+        \centering
+
+        \begin{subfigure}[c]{0.5\textwidth}
+            \centering
+
+            \begin{tikzpicture}[scale = 0.85]
+                \begin{axis}[
+                    grid=both,
+                    xlabel={$k$},
+                    width=8cm,
+                    height=3cm,
+                    scale only axis,
+                ]
+                    \addplot +[mark=none, line width=0.7pt]
+                        table [col sep=comma, x=k, y=comb_r_s_0]
+                            {res/proximal/extreme_components_20433484_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_L_0]
+                            {res/proximal/extreme_components_20433484_combined.csv};
+                    \addplot +[mark=none]
+                        table [col sep=comma, x=k, y=grad_h_0]
+                            {res/proximal/extreme_components_20433484_combined.csv};
+                    \addlegendentry{est}
+                    \addlegendentry{$\nabla L$}
+                    \addlegendentry{$\nabla h$}
+                \end{axis}
+            \end{tikzpicture}
+
+            \caption{Internal variables of proximal decoder as a function of k
+                     ($n=204$)\footnotemark}
+        \end{subfigure}%
+        \begin{subfigure}[c]{0.5\textwidth}
+            \centering
+
+            \begin{tikzpicture}[scale = 0.85]
+                \begin{axis}[
+                    point meta min = -1,
+                    point meta max = 1,
+                    grid=both,
+                    xlabel={$Var\left( \nabla h\left( \boldsymbol{x} \right)  \right) $},
+                    ylabel={bit error (bool)},
+                    ytick={0, 1},
+                    width=8cm,
+                    height=3cm,
+                    scale only axis,
+%                    colormap/viridis,
+                ]
+                    \addplot [Brown, only marks,]
+                        table [col sep=comma, x=grad_h_vars, y=bit_error]
+                            {res/proximal/extreme_components_20433484_variance.csv};
+                \end{axis}
+            \end{tikzpicture}
+
+            \caption{Corellation between bit error and amplitude of oscillation}
+        \end{subfigure}
+    \end{figure}
+
+
+    \footnotetext{A single decoding is shown, using a (3,6) regular LDPC Code
+                  with $n=204, k=102$ \cite[\text{204.33.484}]{mackay_enc};
+                  $\gamma = 0.05, \omega = 0.05, E_b / N_0 = \SI{5}{dB}$}
 \end{frame}