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Arxiv

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Policy Verification in Stochastic Dynamical Systems Using Logarithmic Neural Certificates

  • Researchers propose a method for verifying neural network policies in stochastic systems for reach-avoid specifications.
  • They introduce logarithmic Reach-Avoid Supermartingales (logRASMs) to achieve smaller Lipschitz constants than existing approaches.
  • A faster method to compute tighter upper bounds on Lipschitz constants based on weighted norms is presented in the study.
  • Empirical evaluation demonstrates successful verification of reach-avoid specifications with probabilities as high as 99.9999%.

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