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| author | jeanpouget-abadie <jean.pougetabadie@gmail.com> | 2014-12-07 16:20:40 -0500 |
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| committer | jeanpouget-abadie <jean.pougetabadie@gmail.com> | 2014-12-07 16:20:40 -0500 |
| commit | 4ba0141322e8d35da9a762909603bd280dec64bf (patch) | |
| tree | 97b97530f13ab401ce4b6fc6704d0134adaad78a /notes | |
| parent | 566f9248c05db44133e3cbf145a4cbaf2fed140d (diff) | |
| download | cascades-4ba0141322e8d35da9a762909603bd280dec64bf.tar.gz | |
bug fix: initialization to directed graph missing
Diffstat (limited to 'notes')
| -rw-r--r-- | notes/reportYaron.tex | 5 |
1 files changed, 3 insertions, 2 deletions
diff --git a/notes/reportYaron.tex b/notes/reportYaron.tex index acdfaea..d5822ed 100644 --- a/notes/reportYaron.tex +++ b/notes/reportYaron.tex @@ -19,7 +19,9 @@ Given a set of observed cascades, the \textbf{graph reconstruction problem} cons \section{Related Work} -In previous work, this problem has been formulated in different ways, including a convex optimization and a maximum likelihood problem. However, there is no known algorithm for graph reconstruction with theoretical guarantees and with a reasonable required sample size. +There have been several works tackling the graph reconstruction problem in variants of the independent cascade. We briefly summarize their results and approaches below. + + \section{The Voter Model} @@ -278,7 +280,6 @@ $\delta_4 = .54$ & $\delta_4 = .37$ & $\delta_4 = .43$ & $\delta_4 = .23$ \\ The results of our findings on a very small social network (a subset of the famous Karate club), show that as the number of cascades increase the RIP constants decrease and that if $p_\text{init}$ is small then the RIP constant decrease as well. Finally the constants we obtain are either under or close to the $.25$ mark set by the authors of \cite{candes}. - \subsection{Testing our algorithm} |
