arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2303.08856cs.LGcs.SYeess.SY
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关于在规划中利用结构信息的好处

On the Benefits of Leveraging Structural Information in Planning Over the Learned Model

Purdue University(普渡大学);Intel Corporation(英特尔公司)

Jiajun Shen, Kananart Kuwaranancharoen, Raid Ayoub, Pietro Mercati, Shreyas Sundaram

摘要:

基于模型的强化学习(RL)融合了学习和规划,近年来受到越来越多的关注。然而,由于需要为每个状态-动作对获得足够数量的样本,学习模型可能会产生显著的成本(就样本复杂度而言)。在本文中,我们研究的好处,利用结构信息的系统在降低样本的复杂性。具体来说,我们考虑设置的转移概率矩阵是一个已知的功能的一些结构参数,其值是最初未知的。然后,我们考虑的问题,估计这些参数的基础上与环境的相互作用。我们的Q估计和最佳Q值作为样本数的函数之间的差异的特征。我们的分析表明,通过利用模型的结构信息,可以显着节省样本的复杂性。我们通过考虑几个问题来说明这些发现,包括控制具有异构服务器的排队系统,以及在随机多风网格世界中寻求最优路径。

英文摘要:

Model-based Reinforcement Learning (RL) integrates learning and planning and has received increasing attention in recent years. However, learning the model can incur a significant cost (in terms of sample complexity), due to the need to obtain a sufficient number of samples for each state-action pair. In this paper, we investigate the benefits of leveraging structural information about the system in terms of reducing sample complexity. Specifically, we consider the setting where the transition probability matrix is a known function of a number of structural parameters, whose values are initially unknown. We then consider the problem of estimating those parameters based on the interactions with the environment. We characterize the difference between the Q estimates and the optimal Q value as a function of the number of samples. Our analysis shows that there can be a significant saving in sample complexity by leveraging structural information about the model. We illustrate the findings by considering several problems including controlling a queuing system with heterogeneous servers, and seeking an optimal path in a stochastic windy gridworld.

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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