CIPS: Maximal Certified Persistence in Cyber-Physical Systems

What the math gives to ML

The paper offers a constructive persistence mechanism: a Lipschitz bound on certificate evolution is combined with robust contraction of the admissible set to account for sampling and execution latency. This yields a maximal certified horizon beyond which a stale information object can no longer be guaranteed safe, together with a memoryless regeneration rule that refreshes it before that horizon expires. The most direct neural-network transfer is a certificate-driven refresh controller for stale KV caches, recurrent states, or world-model latent states, where refreshes are triggered by a provable margin-to-constraint boundary rather than a fixed interval.