Appendix Impact

The SC stands for the spectral complexity defined in [4]. We use the empirical estimation of k-variance and Lipschitz constant defined in section 5 to calculate kV-Margin and kV-GN-Margin. B.2 Variance of Empirical Estimation In Table 1, we show the average scores over 4 random sampled subsets. We now show the standard deviation in Table 4. Overall, the standard deviation of the estimation is fairly small, consistent to the observation in Theorem 7.