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arXiv 2602.11399cs.LGcs.AIcs.RO
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我们真的能学习一种表示来优化所有奖励吗?

Can We Really Learn One Representation to Optimize All Rewards?

Princeton University(普林斯顿大学)

Chongyi Zheng, Royina Karegoudra Jayanth, Benjamin Eysenbach

AI总结:

研究无监督预训练中通过交互的无监督学习,聚焦前向 - 后向表示学习。通过理论分析阐明其表示存在条件及收敛情况,提出更易理解和优化的变体。实验表明该变体误差更小、零样本性能提升,还能为下游任务提供有效初始化。

摘要:

随着无监督预训练在强化学习中越来越普遍,对这些方法进行更深入的理论理解与其经验成功同样重要。我们关注通过交互进行无监督学习的设置,其中前向 - 后向(FB)表示学习是一个典型且流行的例子。本文通过在一类使用回归获得后继度量比的低秩近似的近期方法中对FB方法进行形式化背景化,揭示了FB。我们的分析阐明了FB表示何时存在以及低秩近似在实践中如何收敛。基于该理论,我们提出了一种FB变体,它在理论上更易于理解且在实践中更易于优化。在教学设置以及10个基于状态和基于图像的连续控制域中的实验表明,我们的方法收敛到所需表示时的误差比FB小10^5倍,平均零样本性能提高了24%。我们还证明,如果用户希望在下游任务上进一步微调,我们算法推断的零样本策略可提供有效的初始化。我们的项目网站可通过此https URL获取。

英文摘要:

As unsupervised pretraining becomes increasingly ubiquitous in reinforcement learning, a more thorough theoretical understanding of these methods becomes of equal importance to their empirical success. We focus on the setting of unsupervised learning via interaction, where the forward-backward (FB) representation learning serves as a prototypical and popular example. In this paper, we shed light on FB by formally contextualizing the method within a broader class of recent methods that use regression to obtain a low-rank approximation of a successor measure ratio. Our analysis clarifies when FB representations can exist and how the low-rank approximation converges in practice. Building upon the theory, we propose a variant of FB that is both more amenable to theoretical understanding and simpler to optimize in practice. Experiments in didactic settings, as well as in $10$ state-based and image-based continuous control domains, demonstrate that our method converges to desired representations with $10^5 \times$ smaller errors than FB, achieving $+24\%$ improved zero-shot performance on average. We also demonstrate that zero-shot policies inferred by our algorithm provide an efficient initialization if the user prefers further fine-tuning on downstream tasks. Our project website is available at https://chongyi-zheng.github.io/onestep-fb.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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