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This research exposes a critical vulnerability in deployed safety classifiers where adversarial inputs exhaust reasoning-token budgets, effectively silencing monitors when they are needed most. The authors quantify this "reasoning starvation" phenomenon across frontier models and demonstrate that standard gradient-based evasion remains effective despite high success rates against template jailbreaks. Furthermore, the study identifies specific failure modes in conformal adaptation for generative embeddings, suggesting that dimensionality reduction is necessary to restore statistical coverage guarantees under attack.
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Online Shift Detection and Conformal Adaptation for Deployed Safety Classifiers

arXiv3 min read

arXiv:2606.11949v3 Announce Type: replace Abstract: Reasoning models deployed as safety monitors exhibit a systematic vulnerability: reasoning-token budget starvation. Adversarial inputs require $3.3\times$ more reasoning tokens than benign inputs to produce valid safety scores ($T_{50,\text{adv}}{=}154$ vs. $T_{50,\text{benign}}{=}46$ for o3), so low-budget deployments silently starve the monitor on exactly the inputs it must catch. This compounds the central failure mode: gradient-based evasion remains the residual threat -- template jailbreaks fail at 99%, but GCG-optimized suffixes flip encoder decisions reliably. We systematize a canary construction -- score-disagreement monitoring between a targeted and un-targeted classifier -- and quantify its reliability under targeted evasion. We derive the exact security boundary -- a confidence-gated equilibrium at which a monitor-aware attacker stalls (validated gap $= 1/(2\lambda)$, within 95% CI of theory) -- and identify a failure mode in post-shift conformal adaptation. Three contributions. (1) Factorial drift benchmark. A pre-registered 800-cell evaluation ($4$ classifiers $\times$ $5$ shift types $\times$ $20$ seeds $\times$ $2$ windows) reveals detection difficulty is dominated by a classifier$\times$shift interaction ($\eta^2 = 0.185$): encoders detect paraphrase drift in 28 steps but miss adversarial suffixes for 37; decoders show the opposite. (2) Conformal collapse in generative embeddings. Weighted conformal prediction fails on decoder classifiers: logistic density-ratio estimation achieves perfect separability in 3584--4096-dimensional space, clipping all importance weights to zero. Projecting to $\leq$32 dimensions restores coverage (+33pp). (3) Adversarial canary threat model. Across 35 frontier models, a 4-tier threat model yields deployment guarantees ($\geq$71% detection, $<$1.5% FPR at $N{=}1000$)

Abstract:Reasoning models deployed as safety monitors exhibit a systematic vulnerability: reasoning-token budget starvation. Adversarial inputs require $3.3\times$ more reasoning tokens than benign inputs to produce valid safety scores ($T_{50,\text{adv}}{=}154$ vs. $T_{50,\text{benign}}{=}46$ for o3), so low-budget deployments silently starve the monitor on exactly the inputs it must catch. This compounds the central failure mode: gradient-based evasion remains the residual threat -- template jailbreaks fail at 99%, but GCG-optimized suffixes flip encoder decisions reliably. We systematize a canary construction -- score-disagreement monitoring between a targeted and un-targeted classifier -- and quantify its reliability under targeted evasion. We derive the exact security boundary -- a confidence-gated equilibrium at which a monitor-aware attacker stalls (validated gap $= 1/(2\lambda)$, within 95% CI of theory) -- and identify a failure mode in post-shift conformal adaptation. Three contributions. (1) Factorial drift benchmark. A pre-registered 800-cell evaluation ($4$ classifiers $\times$ $5$ shift types $\times$ $20$ seeds $\times$ $2$ windows) reveals detection difficulty is dominated by a classifier$\times$shift interaction ($\eta^2 = 0.185$): encoders detect paraphrase drift in 28 steps but miss adversarial suffixes for 37; decoders show the opposite. (2) Conformal collapse in generative embeddings. Weighted conformal prediction fails on decoder classifiers: logistic density-ratio estimation achieves perfect separability in 3584--4096-dimensional space, clipping all importance weights to zero. Projecting to $\leq$32 dimensions restores coverage (+33pp). (3) Adversarial canary threat model. Across 35 frontier models, a 4-tier threat model yields deployment guarantees ($\geq$71% detection, $<$1.5% FPR at $N{=}1000$)

30 pages, 11 figures, 9 tables. Code and pre-registration at this https URL

Machine Learning (cs.LG); Cryptography and Security (cs.CR); Machine Learning (stat.ML)

arXiv:2606.11949 [cs.LG]

(or arXiv:2606.11949v3 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2606.11949 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 349 words

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