Fix a few typos

2 files changed, 3 insertions, 3 deletions

diff --git a/paper/sections/model.tex b/paper/sections/model.tex
index bc09f6d..26e1a8d 100644
--- a/paper/sections/model.tex
+++ b/paper/sections/model.tex
@@ -293,7 +293,7 @@ measurements and not the number of cascades.
 \paragraph{Regularity assumptions}
 
 We would like program~\eqref{eq:pre-mle} to be a convex program in order to
-solve it efficiently. A sufficient condition, A sufficient condition is to
+solve it efficiently. A sufficient condition is to
 assume that $\mathcal{L}_i$ is a concave function. This will be the case if,
 for example, $f$ and $(1-f)$ are both log-concave functions. Remember that
 a twice-differentiable function $f$ is log-concave iff. $f''f \leq f'^2$. It is
@@ -319,7 +319,7 @@ non-isolated nodes.  In the Independent Cascade Model, $\frac{f'(z)}{f(z)} =
 as $p_{i,j}\geq \alpha$ for all $(i,j)\in E$ which is always satisfied for some
 $\alpha\in(0,1)$.
 
-For the data-independent bound of Proposition~\ref{prop:fi}, we will the
+For the data-independent bound of Proposition~\ref{prop:fi}, we will require the
 following additional regularity assumption:
 \begin{equation}
   \tag{LF2}
diff --git a/paper/sections/results.tex b/paper/sections/results.tex
index 1db8288..2292ce3 100644
--- a/paper/sections/results.tex
+++ b/paper/sections/results.tex
@@ -44,7 +44,7 @@ A discussion of the $(S,\gamma)$-{\bf(RE)} assumption in the context of
 generalized linear cascade models can be found in Section~\ref{sec:re}. In our
 setting we require that the {\bf(RE)}-condition holds for the Hessian of the
 log-likelihood function $\mathcal{L}$: it essentially captures the fact that
-the binary vectors of the set of active nodes (\emph{i.e} the measurement) are
+the binary vectors of the set of active nodes (\emph{i.e} the measurements) are
 not \emph{too} collinear.