aboutsummaryrefslogtreecommitdiffstats
path: root/paper
diff options
context:
space:
mode:
authorThibaut Horel <thibaut.horel@gmail.com>2015-05-18 14:13:22 +0200
committerThibaut Horel <thibaut.horel@gmail.com>2015-05-18 14:13:22 +0200
commit09e64e8bc5ff34ce9886e56cd918c2e03c45b283 (patch)
tree317cdabd1f7ed3decd6dd3077566ef0c00ebe098 /paper
parent28f25010bc572237b85b56e5d56f1727787def7c (diff)
downloadcascades-09e64e8bc5ff34ce9886e56cd918c2e03c45b283.tar.gz
Pass on introduction.
Add comment on correlated measurements
Diffstat (limited to 'paper')
-rw-r--r--paper/sections/intro.tex11
1 files changed, 6 insertions, 5 deletions
diff --git a/paper/sections/intro.tex b/paper/sections/intro.tex
index 7688aeb..4c18faf 100644
--- a/paper/sections/intro.tex
+++ b/paper/sections/intro.tex
@@ -65,11 +65,12 @@ A more recent line of research~\cite{Daneshmand:2014} has focused on applying
advances in sparse recovery to the graph inference problem. Indeed, the graph
can be interpreted as a ``sparse signal'' measured through influence cascades
and then recovered. The challenge is that influence cascade models typically
-lead to non-linear inverse problems. The sparse recovery literature suggests
-that $\Omega(s\log\frac{m}{s})$ cascade observations should be sufficient to
-recover the graph~\cite{donoho2006compressed, candes2006near}. However, the
-best known upper bound to this day is $\O(s^2\log m)$~\cite{Netrapalli:2012,
-Daneshmand:2014}
+lead to non-linear inverse problems and the measurements (the state of the
+nodes at different time steps) are usually correlated. The sparse recovery
+literature suggests that $\Omega(s\log\frac{m}{s})$ cascade observations should
+be sufficient to recover the graph~\cite{donoho2006compressed, candes2006near}.
+However, the best known upper bound to this day is $\O(s^2\log
+m)$~\cite{Netrapalli:2012, Daneshmand:2014}
The contributions of this paper are the following: