Figure 10

The picture shows the probability of success for recovering the hidden clique as a function of \(\alpha\) for AMP (red points), \(SM^1\) with early stopping (blue points) and \(SM^2\) with early stopping (black points). Points are averages over 100 graphs \(G(N=10^4, p=0.5, K_{HC}=\alpha \sqrt{N})\) for AMP algorithm and \(SM^1\) with early stopping, while they are an average over 5 graphs for \(SM^2\) with early stopping.