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This research addresses a critical implementation gap in reinforcement learning by refining regularization techniques to achieve better policy smoothing without sacrificing model expressiveness. By resolving discrepancies between theoretical global continuity goals and practical local limitations, the proposed method enhances control performance and robustness for robotic applications like quadruped locomotion. Such advancements are vital for deploying reliable AI agents that can handle dynamic environments with smooth, predictable actions.
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Redesigning Regularization for Effective Policy Smoothing

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arXiv:2606.13169v1 Announce Type: new Abstract: This paper proposes a novel regularization design to effectively smooth policy functions in reinforcement learning. While regularization that enhances ``global'' Lipschitz continuity was initially considered, it has been limited to ``local'' Lipschitz continuity due to a tradeoff between smoothness and expressiveness. However, it has become apparent that the original implementation is cumbersome and does not provide sufficient smoothing, leading to a preference for simpler implementations. This stems from a discrepancy between theory and implementation, and a more appropriate implementation can expect to facilitate smoothing. Therefore, this paper identifies three reasons why the original implementation does not function adequately and provide remedies for them. This modified regularization performs well across multiple tasks and algorithms, successfully achieving smooth motion while improving control performance. Furthermore, by applying it to sim-to-real reinforcement learning for a quadruped robot, it is demonstrated that smooth motion provides robustness against sudden changes in target velocity commands.

Abstract:This paper proposes a novel regularization design to effectively smooth policy functions in reinforcement learning. While regularization that enhances ``global'' Lipschitz continuity was initially considered, it has been limited to ``local'' Lipschitz continuity due to a tradeoff between smoothness and expressiveness. However, it has become apparent that the original implementation is cumbersome and does not provide sufficient smoothing, leading to a preference for simpler implementations. This stems from a discrepancy between theory and implementation, and a more appropriate implementation can expect to facilitate smoothing. Therefore, this paper identifies three reasons why the original implementation does not function adequately and provide remedies for them. This modified regularization performs well across multiple tasks and algorithms, successfully achieving smooth motion while improving control performance. Furthermore, by applying it to sim-to-real reinforcement learning for a quadruped robot, it is demonstrated that smooth motion provides robustness against sudden changes in target velocity commands.

Robotics (cs.RO)

arXiv:2606.13169 [cs.RO]

(or arXiv:2606.13169v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2606.13169 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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