TABLE 4.

The proportion of ${\widehat{𝒜}}_{\lambda }^b$ that equals ${𝒜}_{\lambda }^b,b=1,\dots ,1000$, 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 ${\lambda }_{\text{sup}}$	0.958	0.725	0.928	0.649	1.000	1.000	0.971	0.999	0.998
Scale-free ${\lambda }_{1\mathrm{S}\mathrm{E}}$	0.417	0.665	0.829	0.567	0.955	0.940	0.804	0.976	0.964
Stochastic block ${\lambda }_{\text{sup}}$	0.964	0.736	0.931	0.678	1.000	1.000	0.964	1.000	1.000
Stochastic block ${\lambda }_{1\mathrm{S}\mathrm{E}}$	0.394	0.661	0.815	0.582	0.964	0.957	0.582	0.559	0.964
$\rho$ $n$ 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 ${\lambda }_{\text{sup}}$	0.952	0.713	0.924	0.687	1.000	1.000	0.968	0.999	0.998
Scale-free ${\lambda }_{1\mathrm{S}\mathrm{E}}$	0.396	0.657	0.799	0.572	0.950	0.941	0.779	0.976	0.963
Stochastic block ${\lambda }_{\text{sup}}$	0.950	0.750	0.935	0.687	1.000	1.000	0.967	1.000	0.999
Stochastic block ${\lambda }_{1\mathrm{S}\mathrm{E}}$	0.445	0.661	0.806	0.559	0.959	0.948	0.805	0.987	0.974