Distributionally Robust Regret Optimal Control Under Moment-Based Ambiguity Sets

arXiv — cs.LGFriday, December 12, 2025 at 5:00:00 AM
  • A recent study has introduced a framework for distributionally robust regret optimal control in finite-horizon, linear-quadratic stochastic control problems, addressing the challenge of unknown probability distributions for noise processes. The research proposes causal affine control policies designed to minimize worst-case expected regret, reformulating the minimax optimal control problem into a tractable convex program.
  • This development is significant as it enhances the ability to manage uncertainty in stochastic control systems, allowing for more reliable decision-making in environments where the underlying distributions are not fully known. The reformulated convex program offers a practical approach to tackle complex control problems effectively.
  • The findings contribute to ongoing discussions in the field of artificial intelligence regarding robustness in control systems, particularly in the context of reinforcement learning and optimization under uncertainty. The integration of various methodologies, such as maximum risk minimization and robust average-reward reinforcement learning, highlights a growing trend towards developing more resilient algorithms capable of adapting to diverse operational conditions.
— via World Pulse Now AI Editorial System

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