Zhipeng Cao, Taoran Wu, Weiru Cui, Luke Ong, Bai Xue · 2026 · arXiv
DOI: 10.48550/arXiv.2610.27726 · open-access PDF
Learned barrier certificates provide a principled mechanism for establishing safety of stochastic systems, but their validity may deteriorate during deployment when the underlying dynamics differ from those used for training. We propose an anytime-valid runtime monitor that audits a learned barrier certificate using observed closed-loop trajectories. The monitor is intended to detect loss of statistical support for the deployed barrier condition; it does not by itself guarantee detection before unsafe entry or safety of a subsequent intervention. Specifically, the conditional barrier-drift con
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