Compression

1 files changed, 2 insertions, 5 deletions

diff --git a/paper/sections/lowerbound.tex b/paper/sections/lowerbound.tex
index 5c35446..ed3600f 100644
--- a/paper/sections/lowerbound.tex
+++ b/paper/sections/lowerbound.tex
@@ -44,11 +44,8 @@ $\mathcal{F}$ and $t$ uniformly at random from $X
 $\theta = t + w$ where $w\sim\mathcal{N}(0, \alpha\frac{s}{m}I_m)$ and $\alpha
 = \Omega(\frac{1}{C})$.
 
-Consider the following communication game between Alice and Bob:
-\begin{itemize}
-    \item Alice sends $y\in\reals^m$ drawn from a Bernouilli distribution of parameter
-        $f(X_D\theta)$ to Bob.
-    \item Bob uses $\mathcal{A}$ to recover $\hat{\theta}$ from $y$.
+Consider the following communication game between Alice and Bob: \emph{(1)} Alice sends $y\in\reals^m$ drawn from a Bernouilli distribution of parameter
+$f(X_D\theta)$ to Bob. \emph{(2)} Bob uses $\mathcal{A}$ to recover $\hat{\theta}$ from $y$.
 \end{itemize}
 It can be shown that at the end of the game Bob now has a quantity of
 information $\Omega(s\log \frac{m}{s})$ about $S$. By the Shannon-Hartley