From a13116fa67cd0811c8660d38e20500433bb7a3a3 Mon Sep 17 00:00:00 2001
From: jeanpouget-abadie <jean.pougetabadie@gmail.com>
Date: Tue, 19 May 2015 01:15:33 +0200
Subject: fixed typos

---
 paper/sections/results.tex | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

(limited to 'paper/sections/results.tex')

diff --git a/paper/sections/results.tex b/paper/sections/results.tex
index 6b9fd7a..af0b076 100644
--- a/paper/sections/results.tex
+++ b/paper/sections/results.tex
@@ -30,7 +30,7 @@ by~\cite{bickel2009simultaneous}.
 \begin{definition}
     Let $\Sigma\in\mathcal{S}_m(\reals)$ be a real symmetric matrix and $S$ be
     a subset of $\{1,\ldots,m\}$. Defining $\mathcal{C}(S)\defeq
-    \{X\in\reals^m\,:\,\|X\|_1\leq 1\text{ and } \|X_{S^c}\|_1\leq
+    \{X\in\reals^m\,:\,\|X_{S^c}\|_1\leq
     3\|X_S\|_1\}$. We say that $\Sigma$ satisfies the
     $(S,\gamma)$-\emph{restricted eigenvalue condition} iff:
 \begin{equation}
@@ -268,7 +268,7 @@ cascade, which are independent, we can apply Theorem 1.8 from
 s\log m)$.
 
 If $f$ and $(1-f)$ are strictly log-convex, then the previous observations show
-that the quantity $\E[\nabla2\mathcal{L}(\theta^*)]$ in
+that the quantity $\E[\nabla^2\mathcal{L}(\theta^*)]$ in
 Proposition~\ref{prop:fi} can be replaced by the expected \emph{Gram matrix}:
 $A \equiv \mathbb{E}[X^T X]$. This matrix $A$ has a natural interpretation: the
 entry $a_{i,j}$ is the probability that node $i$ and node $j$ are infected at
-- 
cgit v1.2.3-70-g09d2

