Add into to DSD to presentation

PhD/research_proposal/presentation.tex

@@ -16,7 +16,7 @@
 \usepackage{xspace}
 \usepackage{biblatex} 
 
-\title{PhD Research proposal: Physics Based Security}
+\title{Ph.D. Research proposal: Physics Based Security}
 \subtitle{}
 \date{}
 \author{Arthur Grisel-Davy}
@@ -147,8 +147,26 @@
     and in \textit{Independent Boot Process Verification using Side-Channel Power Analysis} at QRS 2023}
 \end{frame}
 
+\begin{frame}{Overview}
+    \begin{figure}
+        \centering
+        \includegraphics[width=\textwidth]{images/intro_dsd.pdf}
+    \end{figure}
+\end{frame}
+
 \begin{frame}{Main problem Statement}
-    % Problem statement for DSD
+    \textbf{Problem Statement 1}
+    \textit{
+    Given a discretized time series $t$ and a set of patterns $P=\{\chi, P_1,\dots, P_n\}$, identify an injective mapping $m_{SSSM}:\mathbb{N}\longrightarrow P$ such that every sample $t[i]$
+    maps to a pattern in $P$ with the condition that the sample matches an occurence of the pattern in $t$.
+}
+\end{frame}
+
+\begin{frame}{Overview of Main Problems}
+    \begin{figure}
+        \centering
+        \includegraphics[height=\textheight]{images/map.pdf}
+    \end{figure}
 \end{frame}