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math.OC2023
Bounding Optimality Gaps for Non-Convex Optimization Problems: Applications to Nonlinear Safety-Critical Systems
Prithvi Akella, Aaron D. Ames
Efficient methods to provide sub-optimal solutions to non-convex optimization problems with knowledge of the solution's sub-optimality would facilitate the widespread application o…
math.OC2023
Probabilistic Guarantees for Nonlinear Safety-Critical Optimal Control
Prithvi Akella, Wyatt Ubellacker, Aaron D. Ames
Leveraging recent developments in black-box risk-aware verification, we provide three algorithms that generate probabilistic guarantees on (1) optimality of solutions, (2) recursiv…