A data-only method computes finite-horizon reach-avoid probabilities by embedding conditional distributions in a reproducing kernel Hilbert space and evaluating the dynamic programming recursion as inner products.
Probab ilistic reacha- bility and safety for controlled discrete time stochastic h ybrid systems,
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Model-Free Stochastic Reachability Using Kernel Distribution Embeddings
A data-only method computes finite-horizon reach-avoid probabilities by embedding conditional distributions in a reproducing kernel Hilbert space and evaluating the dynamic programming recursion as inner products.