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    Area of Science:

    • Machine Learning
    • Computer Vision
    • Cybersecurity

    Background:

    • Adversarial training is effective against adversarial attacks but suffers from slow training times, hindering scalability to large datasets.
    • Current acceleration methods use single-step attacks, risking catastrophic overfitting and loss of robustness.
    • Catastrophic overfitting is linked to instance-specific characteristics, particularly input gradient norms.

    Purpose of the Study:

    • To investigate the instance-dependent nature of catastrophic overfitting in adversarial training.
    • To propose a novel method, Adversarial Training with Adaptive Step size (ATAS), to address catastrophic overfitting.
    • To demonstrate the effectiveness of ATAS in improving training speed and robust accuracy.

    Main Methods:

    • Analyzing the relationship between instance gradient norms and catastrophic overfitting.
    • Developing ATAS, which employs an instance-wise adaptive step size inversely proportional to the input gradient norm.
    • Conducting theoretical analysis to prove faster convergence of ATAS compared to non-adaptive methods.

    Main Results:

    • Empirical validation on CIFAR10, CIFAR100, and ImageNet datasets.
    • ATAS effectively mitigates catastrophic overfitting across various adversarial budgets.
    • ATAS achieves superior robust accuracy compared to existing methods.

    Conclusions:

    • Catastrophic overfitting in adversarial training is instance-dependent and related to gradient norms.
    • ATAS offers a scalable and effective solution to catastrophic overfitting, enhancing adversarial robustness.
    • The proposed method provides a promising direction for efficient and robust adversarial training.