Resumen
In recent years, adversarial examples have aroused widespread research interest and raised concerns about the safety of CNNs. We study adversarial machine learning inspired by a support vector machine (SVM), where the decision boundary with maximum margin is only determined by examples close to it. From the perspective of margin, the adversarial examples are the clean examples perturbed in the margin direction and adversarial training (AT) is equivalent to a data augmentation method that moves the input toward the decision boundary, the purpose also being to increase the margin. So we propose adversarial training with supported vector machine (AT-SVM) to improve the standard AT by inserting an SVM auxiliary classifier to learn a larger margin. In addition, we select examples close to the decision boundary through the SVM auxiliary classifier and train only on these more important examples. We prove that the SVM auxiliary classifier can constrain the high-layer feature map of the original network to make its margin larger, thereby improving the inter-class separability and intra-class compactness of the network. Experiments indicate that our proposed method can effectively improve the robustness against adversarial examples.