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@@ -90,7 +90,7 @@ The function $L$ is well-known to be concave and even self-concordant (see
method for self-concordant functions in \cite{boyd2004convex}, shows that
finding the maximum of $L$ to any precision $\varepsilon$ can be done in
$O(\log\log\varepsilon^{-1})$ iterations. Being the solution to a maximization
-problem, $L^*$ satisfies the required monotonicity property. The main challenge
+problem, $OPT'_{-i^*}$ satisfies the required monotonicity property. The main challenge
will be to prove that $OPT'_{-i^*}$, for our relaxation $L$, is close to
$OPT_{-i^*}$.