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Understanding and Improving Fast Adversarial Training against $l_0$ Bounded Perturbations

NeurIPS 2025 · Adversarial robustness and security › Certified and empirical robustness · approach: Provable robust learning guarantees · 0 citations (OpenAlex)

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Studies fast (single-step) adversarial training against sparse l0-bounded perturbations, diagnosing catastrophic overfitting in this setting and proposing an improved fast AT method.

Problem

Fast adversarial training against l0-bounded sparse perturbations suffers from catastrophic overfitting, which existing fast AT methods designed for l_p norms (p>=1) do not properly address.

Approach

Identifies the specific mechanism of catastrophic overfitting for 1-step l0 attacks and proposes a fast AT modification tailored to l0 perturbations, rather than transferring l_p-norm fixes directly.

Surprising findings

Experimental setup

Baselines: existing fast adversarial training methods for l_p norms

Builds on: fast adversarial training catastrophic overfitting analysis

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