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Jixian Liu

1 paper indexed

arxivcs.RO2026-07-21

On the Limits of Sampling-Based Reachability: Geometry, Dynamics, and Sample Complexity

Jixian Liu, Ihab Tabbara, Hussein Sibai, Enrique Mallada

Reachability analysis is central to safety-critical control, robotics, and neural network verification, but classical computational methods, such as Hamilton--Jacobi reachability and set propagation, scale poorly with state dimension. Sampling-based methods have emerged as a prom…

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