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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} |
