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Boosting Adversarial Training via Fisher-Rao Norm-based Regularization


Core Concepts
Resolving the trade-off between robustness and accuracy in adversarial training through Logit-Oriented Adversarial Training (LOAT).
Abstract
The content discusses the challenges in adversarial training, introduces the Fisher-Rao norm to analyze model complexity, and proposes LOAT as a regularization framework to enhance adversarial training algorithms. It includes empirical evidence, theoretical concepts, and experimental results. Introduction Adversarial training aims to improve deep neural network robustness. Existing methods compromise standard generalization performance. LOAT proposed to mitigate trade-off between robustness and accuracy. Related Works Various factors influence the effectiveness of adversarial training. Trade-off between robustness and accuracy is a key challenge. Model complexity plays a crucial role in generalization performance. Preliminaries Definition of Rademacher complexity and its relation to model complexity. Basic notions of image classification tasks and adversarial training objectives. Proposed Methods Rademacher complexity analysis via CE loss and Fisher-Rao norm. Sensitivity of complexity-related factors on generalization gap. Introduction of Logit-Oriented Adversarial Training (LOAT) framework. Experiments Evaluation of LOAT on different models and attacks. Boost in standard accuracy observed with LOAT. Comparison of different regularization strategies on model performance.
Stats
"Our code will be available at https://github.com/TrustAI/LOAT."
Quotes
"Can we interpret the degradation of standard accuracy in a unified and principled way?" "Model complexity offers a potential approach to analyze the trade-off between robustness and accuracy." "Our extensive experiments demonstrate that the proposed regularization strategy can boost the performance of the prevalent adversarial training algorithms."

Deeper Inquiries

How can the concept of model complexity be further integrated into adversarial training algorithms

Incorporating the concept of model complexity into adversarial training algorithms can lead to more robust and accurate models. By considering the complexity of the model architecture, such as the depth and width of neural networks, algorithms can be designed to adapt to varying levels of complexity. This integration can help in optimizing the trade-off between model robustness and accuracy, ultimately improving the overall performance of the models. Additionally, by leveraging metrics like Rademacher complexity and Fisher-Rao norm, algorithms can better understand and control the complexity of the models during training, leading to enhanced generalization and robustness.

What are the potential limitations or drawbacks of the proposed LOAT framework

While the LOAT framework shows promising results in boosting the performance of adversarial training algorithms, there are potential limitations and drawbacks to consider. One limitation could be the computational overhead associated with the additional regularization steps introduced in LOAT. The adaptive nature of the framework, which adjusts regularization strategies based on the training stage, may also introduce complexity in implementation and tuning. Furthermore, the effectiveness of LOAT may vary across different datasets and model architectures, requiring careful evaluation and tuning for optimal performance. Additionally, the interpretability of the regularization techniques used in LOAT may pose challenges in understanding the inner workings of the trained models.

How might the findings in this study impact the broader field of machine learning research

The findings from this study have significant implications for the broader field of machine learning research. By addressing the trade-off between model robustness and accuracy in adversarial training, the proposed LOAT framework offers a novel approach to improving model performance. The integration of model complexity metrics and adaptive regularization strategies opens up new avenues for enhancing the resilience of deep learning models against adversarial attacks. These insights can contribute to the development of more robust and reliable machine learning systems, especially in safety-critical applications where model security is paramount. Furthermore, the empirical evidence and theoretical foundations presented in the study can inspire further research in understanding the interplay between model complexity, regularization techniques, and adversarial robustness in deep learning.
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