The relationship between overfitting and PEP effect. (a) shows the average of NLLs on test set for CIFAR-10 baselines (red line) and PEP (black line). The baseline curve shows overfitting as a result of overtraining. The degree of overfitting was calculated by subtracting the training NLL (loss) from the test NLL (loss). PEP reduces the effect of overfitting and improves log-likelihood. The PEP effect is more substantial as the overfitting grows. (b), (c), and (d) show scatter plots of overfitting vs PEP effect for CIFAR-10, MNIST(MLP), and MNIST(CNN), respectively.