A grid-free Monte Carlo scheme based on local linearization and Gaussian sampling computes viscous HJ reachability with linear scaling in dimension and sample count.
We shall conclude the section by comparing the analytic and the overapproximated numerical solution (using the LevelSetPy toolbox) to the time to reach the origin problem
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HJ-Gauss: A Monte-Carlo HJ Reachability Scheme
A grid-free Monte Carlo scheme based on local linearization and Gaussian sampling computes viscous HJ reachability with linear scaling in dimension and sample count.