Figure 5:

Simulated subspace recovery (4) as a function of the contamination fraction p₂, the proportion of samples with noise variance ${\sigma }_2^2=3.25$, where the other noise variance ${\sigma }_1^2=0.1$ occurs in proportion p₁ = 1 – p₂. The sample-to-dimension ratio is c = 10 and the subspace amplitudes are θ₁ = 1 and θ₂ = 0.8. Simulation mean (blue curve) and interquartile interval (light blue ribbon) are shown with the asymptotic recovery (4) of Theorem 1 (green curve). The region where A(β_i) ≤ 0 is the red horizontal segment with value zero (the prediction of Conjecture 1). Increasing data size from (a) to (b) results in smaller interquartile intervals, indicating concentration to the mean, which is itself converging to the asymptotic recovery.