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diff --git a/paper/sections/intro.tex b/paper/sections/intro.tex index 264476b..f369e3c 100644 --- a/paper/sections/intro.tex +++ b/paper/sections/intro.tex @@ -117,10 +117,10 @@ achieves a ${\cal O}(s \log m)$ guarantee in the case of tree graphs. The work of~\cite{Abrahao:13} studies the same continuous-model framework as \cite{GomezRodriguez:2010} and obtains an ${\cal O}(s^9 \log^2 s \log m)$ support recovery algorithm, without the \emph{correlation decay} assumption. +\cite{du2013uncover} propose a similar algorithm to ours for recovering the +weights of the graph under a continuous-time independent cascade model, without +proving theoretical guarantees. -{\color{red} Du et.~al make a citation} - -{\color{red} say they follow the same model as Gomez and abrahao} Closest to this work is a recent paper by \citet{Daneshmand:2014}, wherein the authors consider a $\ell_1$-regularized objective function. They adapt standard results from sparse recovery to obtain a recovery bound of ${\cal O}(s^3 \log @@ -132,12 +132,15 @@ Independent Cascade model under weaker assumptions. Furthermore, we analyze both the recovery of the graph's edges and the estimation of the model's parameters, and achieve close to optimal bounds. -\begin{comment} -Their work has the merit of studying a generalization of the discrete-time -independent cascade model to continuous functions. Similarly to -\cite{Abrahao:13}, they place themselves in the restrictive single-source -context. -\end{comment} +The work of~\cite{du2014influence} is slightly orthogonal to ours since they +suggest learning the \emph{influence} function, rather than the networks +parameters directly. +%\begin{comment} +%Their work has the merit of studying a generalization of the discrete-time +%independent cascade model to continuous functions. Similarly to +%\cite{Abrahao:13}, they place themselves in the restrictive single-source +%context. +%\end{comment} \begin{comment} \paragraph{Our contributions} |
