diff --git a/src/thesis/chapters/3_fault_tolerant_qec.tex b/src/thesis/chapters/3_fault_tolerant_qec.tex
index 07be8b2..95d6cd0 100644
--- a/src/thesis/chapters/3_fault_tolerant_qec.tex
+++ b/src/thesis/chapters/3_fault_tolerant_qec.tex
@@ -10,6 +10,9 @@
 \subsection{Detector Error Models}
 \section{Practical Considerations}
 \subsection{Practical Methodology}
+
+\content{Per-round-LER explanation}
+
 \subsection{Stim}
 
 \begin{figure}[t]
diff --git a/src/thesis/chapters/4_decoding_under_dems.tex b/src/thesis/chapters/4_decoding_under_dems.tex
index b3c4fa8..ad28b8e 100644
--- a/src/thesis/chapters/4_decoding_under_dems.tex
+++ b/src/thesis/chapters/4_decoding_under_dems.tex
@@ -1,10 +1,49 @@
 \chapter{Decoding under Detector Error Models}
 
+% Intro
+
+\content{Intro}
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \section{Sliding-Window Decoding}
 \label{sec:Sliding-Window Decoding}
 
-\begin{figure}[t]
+% Intro
+
+\content{Callback to previous chapter}
+\content{(Maybe even historical) overview of the literature}
+
+% High-level overview of Sliding-Window decoding
+
+\content{Benefits of sliding-window decoding (lower latency due to
+earlier decoding start)}
+\content{Why it works (block diagonal structure $\rightarrow$ ``Done
+with processing'' some VNs)}
+
+% Detailed explanation of sliding-window decoding
+
+\content{We look at rows not columns}
+\content{Define W}
+\content{Define F}
+\content{Explain how we get the columns once we know the rows}
+\content{\textbf{General note}: Mathematical definitions where possible}
+
+% Syndrome update
+
+\content{Explain commit region}
+\content{Why we need to update the syndrome}
+\content{How we update the syndrome}
+\content{\textbf{General note}: Mathematical definitions where possible}
+
+% Complete process
+
+\content{1. Decode window}
+\content{2. Commit VN estimates}
+\content{3. Update syndrome}
+\content{4. Decode next window}
+\content{(?) Explicitly mention we don't reuse existing messages?}
+
+\begin{figure}[H]
     \centering
 
     \hspace*{-114mm}%
@@ -40,10 +79,30 @@
 \end{figure}
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\section{Warm-Start Sliding-Window Decoding under BP}
+\section{Warm-Start Sliding-Window Decoding}
 \label{sec:warm_start_bp}
 
-\begin{figure}[t]
+% Intro
+
+\content{Change view from PCM to Tanner graph}
+\content{Call attention to SC-LDPC-like structure}
+\content{High-level overview of modification}
+
+% Warm-Start decoding for BP
+
+\content{Pass messages to next window}
+\content{(?) Explicitly mention initialization using only CN->VN
+messages + swapping of CN and VN update?}
+\content{(?) Algorithm}
+
+% Warm-Start decoding for BPGD
+
+\content{Modified structure of BPGD $\rightarrow$ In addition to
+messages, pass decimation info}
+\content{(?) Explicitly mention decimation info = channel llrs?}
+\content{(?) Algorithm}
+
+\begin{figure}[H]
     \centering
 
     \tikzset{
@@ -145,7 +204,7 @@
     \label{fig:windowing_tanner}
 \end{figure}
 
-\begin{figure}[t]
+\begin{figure}[H]
     \centering
 
     \tikzset{
@@ -267,11 +326,7 @@
     \label{fig:messages_tanner}
 \end{figure}
 
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\section{Warm-Start Sliding-Window Decoding under BPGD}
-\label{sec:warm_start_bpgd}
-
-\begin{figure}[t]
+\begin{figure}[H]
     \centering
 
     \tikzset{
@@ -405,3 +460,29 @@
     \label{fig:messages_decimation_tanner}
 \end{figure}
 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\section{Numerical results}
+\label{sec:warm_start_bpgd}
+
+% Intro
+
+\content{Some info on used code (what it is, why it was chosen)}
+\content{Some info on simulation setup (Stim, circuit-level noise,
+standard circuit-based depolarizing noise model, etc.)}
+\content{All datapoints generated with at least 100 error frames}
+
+%%%%%%%%%%%%%%%%
+\subsection{Belief Propagation}
+\label{subsec:Belief Propagation}
+
+% Simulation setup
+
+\content{Use min-sum}
+
+%%%%%%%%%%%%%%%%
+\subsection{Belief Propagation with Guided Decimation}
+\label{subsec:Belief Propagation with Guided Decimation}
+
+% Results when passing all info
+% Results when passing only messages
+
diff --git a/src/thesis/main.tex b/src/thesis/main.tex
index 6326e8a..3530a69 100644
--- a/src/thesis/main.tex
+++ b/src/thesis/main.tex
@@ -20,7 +20,7 @@
 %     style=ieee,
 %     sorting=nty,
 % ]{biblatex}
-\usepackage{todonotes}
+% \usepackage{todonotes}
 \usepackage{quantikz}
 \usepackage{stmaryrd}
 \usepackage{algorithm}
@@ -32,9 +32,9 @@
 \usetikzlibrary{external}
 \tikzexternalize
 
-\makeatletter
-\renewcommand{\todo}[2][]{\tikzexternaldisable\@todo[#1]{#2}\tikzexternalenable}
-\makeatother
+% \makeatletter
+% \renewcommand{\todo}[2][]{\tikzexternaldisable\@todo[#1]{#2}\tikzexternalenable}
+% \makeatother
 
 \setcounter{MaxMatrixCols}{20}
 
@@ -45,6 +45,8 @@
 %
 
 \newcommand{\red}[1]{\textcolor{red}{#1}}
+\newcommand{\content}[1]{\noindent\indent\red{[#1]}\\}
+
 \newcommand{\figwidth}{10cm}
 \newcommand{\figheight}{7.5cm}