Deep neural networks have shown remarkable performance across a wide range of vision-based tasks, particularly due to the availability of large-scale datasets for training and better architectures. However, data seen in the real world are often affected by distortions that not accounted for by the training datasets. In this paper, we address the challenge of robustness and stability of neural networks and propose a general training method that can be used to make the existing neural network architectures more robust and stable to input visual perturbations while using only available datasets for training. Proposed training method is convenient to use as it does not require data augmentation or changes in the network architecture. We provide theoretical proof as well as empirical evidence for the efficiency of the proposed training method by performing experiments with existing neural network architectures and demonstrate that same architecture when trained with the proposed training method perform better than when trained with conventional training approach in the presence of noisy datasets.

本文针对神经网络的稳健性和稳定性问题，提出了一种通用的训练方法，旨在使现有的神经网络架构更能够适应输入的视觉扰动，该方法无需进行数据扩充或更改网络架构。通过现有的神经网络架构实验，理论证据和实证结果证明，当使用该方法进行训练时，模型性能会显著提高，尤其是在噪声数据存在的情况下。

带有李普希茨连续性的鲁棒神经网络