Before revision:  When no attack is present, training with GCE also outperforms cross-entropy in terms of model accuracy .
After revision:  When no attack is present, training with GCE also outperforms cross-entropy training objective. We also show that our method can be used orthogonally to adversarial training across well-known methods with noticeable robustness gain. To the best of our knowledge, our approach is the first one that improves model robustness without compromising performance .