Bernstein polynomial relaxations turn stochastic barrier function synthesis into a linear program, but are empirically slower, less accurate, and less scalable than sum-of-squares on the tested systems.
Convergent bounds for the range of multivariate polynomials,
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On Polynomial Stochastic Barrier Functions: Bernstein Versus Sum-of-Squares
Bernstein polynomial relaxations turn stochastic barrier function synthesis into a linear program, but are empirically slower, less accurate, and less scalable than sum-of-squares on the tested systems.