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Paper · arXiv

On Semi-Markov Suboptimality in Hierarchical Reinforcement Learning

Hierarchical reinforcement learning uses temporally extended subtasks for exploration, yet committing to their execution can restrict both deployment and policy learning. We identify and separate the resulting execution and policy suboptimality. Task and execution trees distinguish reward objectives from policy choices and decision interruption. A Unified Value Function for HRL and a four-stage Generalized Hierarchical Bellman Equation then support a common analysis of both losses. Under bounded rewards and uniform termination, we establish hierarchical policy and execution improvement results. With the remaining node policies fixed, task-subtree compatibility and node-policy optimality u...

AuthorsBingyun Liu, Yuheng Jing
Primary categorycs.LG
Published4 October 2026
Last updated at source4 October 2026
cs.LGcs.AI
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