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Reachable Polyhedral Marching (RPM): An Exact Analysis Tool for Deep-Learned Control Systems

  • Neural networks used in robotics require analysis of learned behaviors and their impact on closed-loop performance.
  • Researchers have developed the Reachable Polyhedral Marching (RPM) algorithm for analyzing neural networks that implement piecewise-affine functions.
  • The algorithm enables the computation of control invariant sets and regions of attraction (ROAs) for feedforward neural networks with ReLU activation.
  • The approach showcases the ability to find non-convex control invariant sets and ROAs, as demonstrated in examples with learned oscillator and pendulum models.

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