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math.OC2026
Over-Approximating Minimizer Sets of Constrained Convex Programs with Parametric Uncertainty via Reachability Analysis
Brendan Gould, Chih-Yuan Chiu, Antoine P. Leeman +3
We study the set of solutions to a parameterized, strongly convex optimization problem whose cost depends on uncertain, bounded parameters. We compute a certified outer approximati…
math.OC2025
Tailoring Reproducing Kernels for Optimal Control via Policy Iteration
Shengyuan Niu, Ali Bouland, Haoran Wang +5
This paper presents a novel approach to formulating the actor-critic method for optimal control by casting policy iteration in reproducing kernel Hilbert spaces (RKHSs -- also know…
math.OC2024
Convergence Rates of Online Critic Value Function Approximation in Native Spaces
Shengyuan Niu, Ali Bouland, Haoran Wang +5
In this paper, the evolution equation that defines the online critic for the approximation of the optimal value function is cast in a general class of reproducing kernel Hilbert sp…