arXiv Machine Learning By Samuel Tetteh, Cody Fleming

Safe on Average, Unsafe in the Tail: When Is the Episodic-Cost Tail Controllable?

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The paper investigates safe reinforcement learning by focusing on the episodic-cost tail rather than just the mean cost. It introduces the use of γαρα_{0.1} (the average cost of the worst 10% of episodes) to classify policies as tail-safe. The authors evaluate standard algorithms on Safety-Gymnasium tasks, identify tail-unsafe policies, and explore constraint families to control tail violations while maintaining return.

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