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Towards LLM Unlearning Resilient to Relearning Attacks: A Sharpness-Aware Minimization Perspective and Beyond

ICML 2025 · Adversarial robustness and security › Attacks on text and graphs · approach: LLM jailbreak and injection defense · 0 citations (OpenAlex)

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Shows that sharpness-aware minimization (SAM) and other smoothness optimizers (RS, GP, CR, WA) make LLM unlearning more resistant to relearning attacks and jailbreaks, evaluated on WMDP and MUSE.

Problem

LLM unlearning is fragile: a small number of forget-set samples can relearn removed knowledge (relearning attacks), and input jailbreaks can recover it.

Approach

Frames robust unlearning as a min-max problem with a relearning adversary that perturbs weights, which reduces to SAM applied to the forget loss; then explores other smoothness techniques (randomized smoothing, gradient penalty, curvature regularization, weight averaging) as analogous defenses.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add SAM to NPONPO · WMDP, 20 forget samplesUE: 0.57 -> 0.70Helped
Add SAM to NPONPO · WMDP, 60 forget samplesUE: 0.37 -> 0.45Helped
Add SAM to NPONPO · WMDP, no attackUE: 0.74 -> 0.74No clear effect
Add randomized smoothing, curvature regularization, gradient penalty, or weight averaging to NPONPO · WMDP, 20 forget samplesUE: NPO 0.57; NPO+RS 0.65; NPO+CR 0.62; NPO+GP 0.61; NPO+WA 0.69Helped
Add SAM to NPONPO · WMDP, 60 samples/1 epochUE under attack: 0.41 -> 0.70Helped
Add SAM to NPONPO · MUSE News, relearning attackVerbMem on forget set: 56.57 -> 51.47Helped
Add SAM to NPONPO · MUSE Books, relearning attackVerbMem on forget set: 67.52 -> 58.38Helped
Set SAM perturbation radius to 0.001 instead of 0.01 (ablation)NPO+SAM · MUSE Books, relearning attackVerbMem on forget set: 58.38 -> 70.9Hurt
Set SAM perturbation radius to 0.1 instead of 0.01 (ablation)NPO+SAM · MUSE Booksunlearning effectiveness and relearning robustness: VerbMem: 58.38 -> 52.96; KnowMem: 38.33 -> 40.52Mixed
Increase the number of parameters perturbed by SAM in RMU from layers 5–7 to layers 1–7 (ablation)RMU+SAM · WMDP, 20 samples/3 epochsrelearning robustness: 2.43%; 5.68%Helped
Add SAM to GradDiffGradDiff · WMDP relearning attacksUE: 0.45 -> 0.65 (N = 20); 0.36 -> 0.44 (N = 60)Helped
Add SAM to RMURMU · WMDP relearning attacksUE: 0.39 -> 0.42 (N = 20); 0.36 -> 0.40 (N = 60)Helped

Surprising findings

Limitations

Experimental setup

Datasets: WMDP MUSE Wikitext AGNews GSM8K SST2 MMLU

Benchmarks: WMDP MUSE MMLU

Metrics: unlearning effectiveness (1-accuracy on WMDP Bio) utility (MMLU accuracy) KnowMem VerbMem runtime

Baselines: NPO GradDiff RMU RMU-LAT TAR

Builds on: negative preference optimization sharpness-aware minimization representation misdirection for unlearning adversarial training tampering attack resistance

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