An importance sampling framework with a derived empirical Bernstein inequality for weighted variables provides finite-sample guarantees for statistically certifying viable initial sets in control systems.
A Survey of Algorithms for Black-Box Safety Validation of Cyber- Physical Systems
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Importance Sampling for Statistical Certification of Viable Initial Sets
An importance sampling framework with a derived empirical Bernstein inequality for weighted variables provides finite-sample guarantees for statistically certifying viable initial sets in control systems.