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Logit-Gap Steering: A Forward-Pass Diagnostic for Alignment Robustness
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Proposes logit-gap steering, a gradient-free, forward-pass-only method that greedily selects in-distribution suffix tokens to close the first-token refusal-affirmation logit gap, and uses the gap as a diagnostic for alignment robustness.
Problem
Measuring and probing the first-token refusal margin in aligned LLMs at scale, since gradient-based jailbreak searches such as GCG are expensive and produce high-perplexity suffixes.
Approach
Defines the refusal-affirmation logit gap at the first decoding position and scores candidate tokens from the model's own high-probability pool with a single-forward-pass proxy (logit change, KL and reward proxies), then greedily covers the initial gap; ensembles of 8 suffixes from multi-objective permutation selection are used for attacks.
Key results
- The 8-suffix ensemble reaches 38-96% True ASR across 13 models on AdvBench (e.g., 83.3% on Llama-3.1-70B-related entries, 95.2% on Qwen2.5-0.5B, 37.9% on Qwen2.5-72B).
- Discovering 8 ensemble suffixes per family costs about 26,000 forward-pass equivalents (about 2 min on one A100), roughly 125x less than a single GCG search (about 3.25M FPE, 5.2 h).
- Under a perplexity-filter defense, the discovered ensemble holds at 76.0% (from 76.9%) while GCG+SH drops from 64.7% to 1.0%.
Surprising findings
- Under Llama Guard 3 output filtering, all methods are cut by 50-60 pp, and the in-distribution suffix advantage from the input-PPL setting does not transfer to a semantic output filter.
- Transfer to Claude-Haiku-4.5 is low and statistically indistinguishable from the SH baseline (5.4% vs. 4.0%).
Limitations
- First-order approximation of the logit gap may degrade beyond about 10 tokens; position-1 framework covers 92-99% of prompts.
- Cross-family transfer is mixed on GPT-OSS-20B and low on Claude-Haiku-4.5; direct discovery needs full next-token logits.
- Gap magnitudes depend on tokenizer-aware token-list construction; the judge is same-family (Qwen) with partial cross-judge validation.
Experimental setup
Datasets: AdvBench HarmBench
Benchmarks: AdvBench HarmBench
Metrics: True ASR perplexity Wilson 95% CI Cohen's kappa pairwise failure correlation forward-pass equivalents
Baselines: GCG nanoGCG Random+SH Sure here's (SH) Here's (H) Llama Guard 3
Builds on: GCG AutoPrompt AutoDAN PAIR TAP
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