A Proof of Lemma 4.2 554 Lemma A.1 (Restatement of Lemma 4.2)

Lemma A.5 of [ 19 ] we have By substituting ( A.5) into ( A.1) we have, All experiments are conducted on a single NVIDIA V100. It runs on the GNU Linux Debian 4.9 operating The experiment is implemented via PyTorch 1.6.0. This makes the learning problem of CIFAR100 much harder. To demonstrate the fact that the over-fitting problem all comes from perturbation stability in Section 3.2(3), we We found this schedule is the most effective one when only training on the original CIFAR10. In this part, we provide a complete visualization for the two parts in Eqn. We test WideResNet-34 on CIFAR10 and CIFAR10.