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Paper · arXiv

Logit Leakage through Floating-Point Bias Addition

Language model APIs can expose token-specific biases while withholding logits and token probabilities. Existing bias-based extraction recovers relative logits, leaving a common additive component undetermined in ideal arithmetic. We identify a numerical side channel in floating-point bias addition that exposes information about this component through token identities alone. The channel distinguishes score vectors with identical complete unperturbed log probabilities. Our method exploits changes in representable spacing at binary exponent boundaries. Under the stated binary32 arithmetic assumptions and a known reachable score interval, it recovers a logit pair and its unknown tie-breaking ...

AuthorsShaomin Chen, Xiaorui Gong
Primary categorycs.CR
Published12 October 2026
Last updated at source12 October 2026
cs.CRcs.AI
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