Split into sections

4 files changed, 51 insertions, 50 deletions

diff --git a/paper/paper.tex b/paper/paper.tex
index 0a11443..b677e6c 100644
--- a/paper/paper.tex
+++ b/paper/paper.tex
@@ -75,59 +75,14 @@ blabla
 \end{abstract} 
 
 \section{Introduction}
+\input{sections/intro.tex}
 
-\begin{itemize}
-\item Small introduction about problem
-\item What is a cascade?
-\item What is our objective?
-\item Motivation for the problem.
-\item Summary of our approach
-\end{itemize}
+\section{Model}
+\input{sections/model.tex}
 
-Parameters of the model:
-\begin{itemize}
-\item $p_{init}$ : multi-source: explain why more reasonable
-\item $p_{min}$
-\item $p_i <$  1- epsilon?
-\end{itemize}
+\section{Results}
+\input{sections/results.tex}
 
-\section{Related Work}
-
-\subsection{Past work}
-
-\begin{itemize}
-\item Gomez
-\item Netrapalli: $d^2 $log n + correlation decay + very bad dependence on 
-\item Kleinberg/Abrahao: $d^9$ log n: single source model...
-\item Gomez: $d^3$ log n + assumptions on Hessian of diffusion process: upper and lower bound on eigenvalues + same proof concept as Netrapalli
-\end{itemize}
-
-\subsection{Our contribution}
-
-\begin{itemize}
-\item Better assumptions: easy to understand, verify?, and much less restrictive
-\item Oracle inequality rather than support recovery -> First one
-\item Algorithm for recovery in Omega(d log n) -> First one
-\item Practical Confidence Intervals
-\item Practical Lower bound
-\item Compare on generic networks
-\end{itemize}
-
-To justify: 
-\begin{itemize}
-\item why discrete isn't so bad; 
-\item why Gomez's assumptions are not reasonable;
-\end{itemize}
-
-\section{Algorithm and Theoretical Guarantees}
-
-\subsection{Independent Cascade Model}
-
-\subsection{The Voter Model}
-
-\section{Matching the Lower Bound}
-
-\section{Practical Confidence Intervals}
 
 \section{Experiments}
 
diff --git a/paper/sections/intro.tex b/paper/sections/intro.tex
new file mode 100644
index 0000000..d86c54e
--- /dev/null
+++ b/paper/sections/intro.tex
@@ -0,0 +1,42 @@
+\begin{itemize}
+\item Small introduction about problem
+\item What is a cascade?
+\item What is our objective?
+\item Motivation for the problem.
+\item Summary of our approach
+\end{itemize}
+
+Parameters of the model:
+\begin{itemize}
+\item $p_{init}$ : multi-source: explain why more reasonable
+\item $p_{min}$
+\item $p_i <$  1- epsilon?
+\end{itemize}
+
+\subsection{Related Work}
+
+\subsection{Past work}
+
+\begin{itemize}
+\item Gomez
+\item Netrapalli: $d^2 $log n + correlation decay + very bad dependence on 
+\item Kleinberg/Abrahao: $d^9$ log n: single source model...
+\item Gomez: $d^3$ log n + assumptions on Hessian of diffusion process: upper and lower bound on eigenvalues + same proof concept as Netrapalli
+\end{itemize}
+
+\subsection{Our contribution}
+
+\begin{itemize}
+\item Better assumptions: easy to understand, verify?, and much less restrictive
+\item Oracle inequality rather than support recovery -> First one
+\item Algorithm for recovery in Omega(d log n) -> First one
+\item Practical Confidence Intervals
+\item Practical Lower bound
+\item Compare on generic networks
+\end{itemize}
+
+To justify: 
+\begin{itemize}
+\item why discrete isn't so bad; 
+\item why Gomez's assumptions are not reasonable;
+\end{itemize}
diff --git a/paper/sections/model.tex b/paper/sections/model.tex
new file mode 100644
index 0000000..601ddeb
--- /dev/null
+++ b/paper/sections/model.tex
@@ -0,0 +1,4 @@
+\subsection{Independent Cascade Model}
+
+\subsection{The Voter Model}
+
diff --git a/paper/sections/results.tex b/paper/sections/results.tex
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/paper/sections/results.tex