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TAROT: Towards Essentially Domain-Invariant Robustness with Theoretical Justification

Published 10 May 2025 in cs.AI and stat.ML | (2505.06580v1)

Abstract: Robust domain adaptation against adversarial attacks is a critical research area that aims to develop models capable of maintaining consistent performance across diverse and challenging domains. In this paper, we derive a new generalization bound for robust risk on the target domain using a novel divergence measure specifically designed for robust domain adaptation. Building upon this, we propose a new algorithm named TAROT, which is designed to enhance both domain adaptability and robustness. Through extensive experiments, TAROT not only surpasses state-of-the-art methods in accuracy and robustness but also significantly enhances domain generalization and scalability by effectively learning domain-invariant features. In particular, TAROT achieves superior performance on the challenging DomainNet dataset, demonstrating its ability to learn domain-invariant representations that generalize well across different domains, including unseen ones. These results highlight the broader applicability of our approach in real-world domain adaptation scenarios.

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Summary

Overview of TAROT: Developing Robust Domain-Invariant Representations

The paper presents TAROT (Transferring Adversarially RObust Training), a novel approach in the field of robust domain adaptation, aiming to achieve both accuracy and adversarial robustness across various domains. The research introduces a new divergence measure, termed the robust margin disparity discrepancy, to derive a generalization bound for robust domain adaptation—an enhancement over traditional methods.

Domain adaptation is a vital area in machine learning where models trained on a labeled source domain need to generalize well to an unlabeled target domain. Challenged by adversarial attacks, existing models often struggle to maintain their performance when confronted with inputs that are slightly perturbed. This study addresses the issue by proposing TAROT, which integrates robust pre-training, pseudo-labeling, and domain alignment.

The core contributions of this paper include:

  • Theoretical Insight: By deriving a generalization bound based on a novel robust margin disparity discrepancy, the paper offers a theoretical framework for evaluating robust risk in domain adaptation.
  • Algorithmic Innovation: The proposed TAROT algorithm optimally combines pseudo-labeling and robust pre-training to enhance domain-invariant robustness. Unlike previous methods that only rely on pseudo-labels, TAROT includes distribution alignment in its training regime, effectively mitigating adversarial threats in the target domain.
  • Empirical Validation: Extensive experiments across multiple benchmark datasets show TAROT's superiority over existing methods in learning domain-invariant features, crucial for real-world adversarial scenarios. Notably, TAROT substantially improves performance on the challenging DomainNet dataset.

TAROT's approach demonstrates that initializing models with a robust pre-trained network, followed by combining pseudo-labels with distributional alignment strategies, significantly boosts adversarial robustness without sacrificing scalability. The empirical results, showing superior performance in terms of both standard and robust accuracies, validate the theoretical insights provided by the robust margin disparity measure.

Implications and Future Directions

The theoretical underpinnings and practical implications of TAROT pave the way for more robust AI models capable of withstanding adversarial attacks across varied domains. By framing robustness through the lens of domain-invariant representations, the paper sets a foundation for further exploration into scalable and secure AI systems. Future works may investigate extending TAROT to other forms of domain adaptation and exploring its impact in multi-modal contexts, potentially widening its scope to more diverse real-world applications.

The research opens avenues for exploring how adversarial robustness can be further integrated with domain adaptation strategies, unifying these fields under a common goal of developing transferable and resilient AI systems. This intersection offers promising potential for advances in robust semi-supervised learning, domain generalization, and beyond.

By providing both theoretical advancements and practical solutions, this paper contributes significantly to the ongoing discourse on trustworthy AI, reinforcing the pursuit of secure and adaptable machine learning frameworks.

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