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On Effects of Steering Latent Representation for Large Language Model Unlearning
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The paper theoretically and empirically analyzes why Representation Misdirection for Unlearning (RMU) works, and proposes Adaptive RMU, which scales the random target vector by the forget-representation norm so unlearning works across more layers.
Problem
RMU is an effective LLM unlearning method, but its underlying mechanism is poorly understood, and it becomes ineffective when applied to middle and later layers because its fixed steering coefficient c is smaller than forget-representation norms there.
Approach
Provides a theoretical account of RMU (token-confidence/logit variance, noise sensitivity, and gradient-masking view of jailbreak robustness) and replaces the fixed coefficient c with an adaptive one, beta times the norm of the frozen forget representation, so the steering target scales with each input's representation norm.
Key results
- Adaptive RMU (l=7) on Zephyr-7B reaches 23.7% WMDP-Biology, 26.5% WMDP-Cyber and 55.0% MMLU, versus RMU's 28.8%, 28.8% and 56.8%.
- Adaptive RMU reduces average WMDP-Biology accuracy by 15.6% over layers 11-31 where RMU is ineffective, giving an overall 14.3% improvement in drop-in-accuracy on WMDP-Biology.
- Adaptive RMU adds no extra computational cost and needs tuning only beta rather than both c and layer, an L-fold reduction in grid search.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace fixed RMU coefficient with an adaptive coefficient scaled by the forget-representation norm | RMU on Zephyr-7B · WMDP-Biology | accuracy: 28.8 -> 23.7 | Helped |
| Replace fixed RMU coefficient with an adaptive coefficient scaled by the forget-representation norm | RMU on Zephyr-7B · WMDP-Cyber | accuracy: 28.8 -> 26.5 | Helped |
| Replace fixed RMU coefficient with an adaptive coefficient scaled by the forget-representation norm | RMU on Zephyr-7B · MMLU | accuracy: 56.8 -> 55.0 | Hurt |
| Increase the fixed RMU coefficient c (ablation) | RMU · WMDP | drop-in-accuracy | Helped |
| Increase the fixed RMU coefficient c (ablation) | RMU · MMLU | accuracy | Hurt |
| Use Adaptive RMU at middle and later layers instead of early layers (ablation) | Adaptive RMU · WMDP-Biology and WMDP-Cyber | accuracy: 15.6% on WMDP-Biology and 9.6% on WMDP-Cyber; 13.1% on WMDP-Biology and 3.6% on WMDP-Cyber | Mixed |
| Use WMDP-Biology and WMDP-Cyber retain sets instead of Wikitext (ablation) | Adaptive RMU · WMDP-Biology | accuracy: 63.7 -> 63.2 | No clear effect |
Surprising findings
- Adaptive RMU is almost ineffective for all unlearn layers when the retain set is WMDP-Biology/Cyber instead of Wikitext, attributed to high n-gram overlap between forget and retain sets.
- On the MMLU subset unlearning tasks, Adaptive RMU shows excessive unlearning that substantially degrades the retained MMLU categories.
Limitations
- Beta is still manually tuned via grid search, so the adaptive-coefficient challenge is not fully resolved.
- Analysis and experiments cover only white-box attacks on open-weight models; black-box jailbreaks are not studied.
- Only 7B-class (or equivalent) models are tested, and only three layers are updated per run.
Experimental setup
Datasets: WMDP-Biology forget set WMDP-Cyber forget set Wikitext WMDP Q&A MMLU MMLU subset forget sets (Economics, Law, Physics)
Benchmarks: WMDP-Biology WMDP-Cyber MMLU
Metrics: Q&A accuracy drop-in-accuracy MaxLogit distribution cosine similarity
Baselines: RMU LLMU SCRUB SSD
Builds on: Representation Misdirection for Unlearning (RMU) Greedy Coordinate Gradient (GCG) AdamW
Closest papers by meaning
- Towards Robust Knowledge Unlearning: An Adversarial Framework for Assessing and Improving Unlearning Robustness in Large Language Models (AAAI 2025 · similarity 0.91)
- Large Language Model Unlearning via Embedding-Corrupted Prompts (NeurIPS 2024 · similarity 0.90)
- Keeping an Eye on LLM Unlearning: The Hidden Risk and Remedy (NeurIPS 2025 · similarity 0.90)
- RWKU: Benchmarking Real-World Knowledge Unlearning for Large Language Models (NeurIPS 2024 · similarity 0.90)
- LLM Unlearning via Loss Adjustment with Only Forget Data (ICLR 2025 · similarity 0.90)
- On Large Language Model Continual Unlearning (ICLR 2025 · similarity 0.90)
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