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-rw-r--r--main.tex4
1 files changed, 2 insertions, 2 deletions
diff --git a/main.tex b/main.tex
index d14e668..b4c1861 100644
--- a/main.tex
+++ b/main.tex
@@ -498,9 +498,9 @@ For all $\lambda\in[0,1]^{n},$
- \sum_{\substack{S\subseteq\mathcal{N}\\ i\in \mathcal{N}\setminus S}}
P_{\mathcal{N}\setminus\{i\}}^\lambda(S)V(S)
\end{multline*}
- Finally, the marginal contribution of $i$ to
+ By the Sherman-Morisson formula, the marginal contribution of $i$ to
$S$ is
- $ \Delta_i V(S)\defeq V(S\cup\{i\}) - V(S) = \frac{1}{2}\log\left(1 + \mu \T{x_i} A(S)^{-1}x_i\right)$.
+ $ V(S\cup\{i\}) - V(S) = \frac{1}{2}\log\left(1 + \T{x_i} A(S)^{-1}x_i\right)$.
Using this,
\begin{displaymath}
\partial_i F_\mathcal{N}(\lambda) =