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Paper · arXiv

Limits of Statistical Assurance for Embodied and Agentic AI under Adaptive Adversaries

Finite safety assessments cannot exclude an adversary that preserves unattacked behavior until certification and activates afterward. We characterize this limitation for embodied and tool-use AI. An adversary that matches the complete observation law until observable, irrevocable certification and retains intervention access afterward attains $v\mathbb{E}[(n-S_0)_+]$ expected post-certification events over $n$ trials, where $v$ is the active event probability and $S_0$ the unattacked certification time. The result covers adaptive and privately randomized evaluators. Switching at certification is exactly optimal for a fixed likelihood-ratio test under memoryless, event-increasing intervent...

AuthorsInderjeet Singh
Primary categorycs.CR
Published13 October 2026
Last updated at source13 October 2026
cs.CRcs.LGstat.ML
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