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diff --git a/paper/sections/lowerbound.tex b/paper/sections/lowerbound.tex index ed3600f..becd13f 100644 --- a/paper/sections/lowerbound.tex +++ b/paper/sections/lowerbound.tex @@ -46,7 +46,6 @@ $\theta = t + w$ where $w\sim\mathcal{N}(0, \alpha\frac{s}{m}I_m)$ and $\alpha 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 theorem, this information is also |