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| author | Thibaut Horel <thibaut.horel@gmail.com> | 2015-02-01 17:47:12 -0500 |
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| committer | Thibaut Horel <thibaut.horel@gmail.com> | 2015-02-01 17:47:44 -0500 |
| commit | 97be51465ace29afdea41e9d80fea7b6c344bdda (patch) | |
| tree | 472345876195b3324b58c63bc76f87f25332f0ba /paper/sections/abstract.tex | |
| parent | e8369874088c0ae4b1d98f79f5bae3319de2ac6d (diff) | |
| download | cascades-97be51465ace29afdea41e9d80fea7b6c344bdda.tar.gz | |
Abstract + first polishing pass over the intro
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| -rw-r--r-- | paper/sections/abstract.tex | 10 |
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diff --git a/paper/sections/abstract.tex b/paper/sections/abstract.tex new file mode 100644 index 0000000..9136be7 --- /dev/null +++ b/paper/sections/abstract.tex @@ -0,0 +1,10 @@ +In the Graph Inference problem, one seeks to recover the edges of an unknown +graph from the observations of influence cascades propagating over this graph. +In this paper, we approach this problem from the sparse recovery perspective +and provide an algorithm which recovers the graph edges with high probability +provided that the number of measurements is $\Omega(s\log m)$ where $s$ is the +maximum degree of the graph and $m$ is the number of nodes. +Furthermore, we show that our algorithm also recovers the edge weights (the +parameters of the diffusion process) and is robust in the context of +approximate sparsity. Finally we provide an almost matching lower bound of +$\Omega(s\log\frac{m}{s})$. |
