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This paper addresses a critical implementation gap in reinforcement learning by refining regularization techniques to achieve better policy smoothing without sacrificing expressiveness. The proposed method successfully bridges the theory-practice divide, enabling robust sim-to-real transfer for quadruped robots with improved energy efficiency and stability against dynamic command changes.
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Redesigning Regularization for Effective Policy Smoothing

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arXiv:2606.13169v2 Announce Type: replace 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 provides remedies for them. This modified regularization performs well across multiple tasks and algorithms, successfully achieving smooth motion with sufficient control performance. Furthermore, by applying it to sim-to-real reinforcement learning for a quadruped robot, it is demonstrated that smooth and energy-efficient 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 provides remedies for them. This modified regularization performs well across multiple tasks and algorithms, successfully achieving smooth motion with sufficient control performance. Furthermore, by applying it to sim-to-real reinforcement learning for a quadruped robot, it is demonstrated that smooth and energy-efficient motion provides robustness against sudden changes in target velocity commands.

Robotics (cs.RO)

arXiv:2606.13169 [cs.RO]

(or arXiv:2606.13169v2 [cs.RO] for this version)

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

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