TABLE 3.

Among repetitions that ${\widehat{𝒜}}_{\lambda }^b\ne \mathrm{\varnothing }$, the proportion of ${\widehat{𝒜}}_{\lambda }^b$ that equals the most common ${\widehat{𝒜}}_{\lambda }^b,b=1,\dots ,1000$, under the scale-free graph and stochastic block model settings with tuning parameters ${\lambda }_{sup}$ and ${\lambda }_{\mathit{1}SE}$. In the simulation, $\rho \in \{0.2,0.6\}$, sample size $n\in \{100,300,500\}$, dimension $p=100$ and signal-to-noise ratio $\mathrm{S}\mathrm{N}\mathrm{R}\in \{0.1,0.3,0.5\}$..

$\rho$ $n$ SNR	0.1	100 0.3	0.5	0.1	0.2 300 0.3	0.5	0.1	500 0.3	0.5
Scale-free; ${\lambda }_{\text{sup}}$	0.000	0.999	0.993	1.000	0.999	0.998	1.000	0.999	0.996
Scale-free; ${\lambda }_{1\mathrm{S}\mathrm{E}}$	0.832	0.958	0.851	0.961	0.948	0.934	0.988	0.980	0.966
Stochastic block; ${\lambda }_{\text{sup}}$	1.000	0.997	0.992	0.998	1.000	0.999	1.000	1.000	1.000
Stochastic block; ${\lambda }_{1\mathrm{S}\mathrm{E}}$	0.838	0.839	0.831	0.964	0.957	0.946	0.992	0.979	0.968
$\rho$ $n$ SNR	0.1	100 0.3	0.5	0.1	0.6 300 0.3	0.5	0.1	500 0.3	0.5
Scale-free; ${\lambda }_{\text{sup}}$	0.995	0.996	0.996	0.999	0.998	0.998	0.999	1.000	1.000
Scale-free; ${\lambda }_{1\mathrm{S}\mathrm{E}}$	0.854	0.869	0.855	0.964	0.947	0.935	0.994	0.981	0.962
Stochastic block; ${\lambda }_{\text{sup}}$	0.998	0.998	0.998	1.000	1.000	1.000	1.000	0.999	0.999
Stochastic block; ${\lambda }_{1\mathrm{S}\mathrm{E}}$	0.834	0.843	0.826	0.969	0.976	0.968	0.988	0.979	0.971