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arXiv 2405.04026stat.MLcs.LG
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马尔可夫决策过程中的联邦控制

Federated Control in Markov Decision Processes

Peking University(北京大学)

Hao Jin, Yang Peng, Liangyu Zhang, Zhihua Zhang

AI总结:

本文研究马尔可夫决策过程中的联邦控制问题,提出联邦Q协议(FedQ)以聚合多个受限智能体的知识并修改其学习问题,理论证明其正确性并分析FedQ-X和FedQ-SynQ的样本复杂度,实验验证了方法的高效性。

摘要:

我们研究马尔可夫决策过程中的联邦控制问题。为了解决具有大状态空间的MDP,引入多个学习智能体在不共享本地收集经验的情况下协作学习其最优策略。在我们的设定中,这些智能体能力有限,这意味着它们在训练过程中被限制在整体状态空间的不同区域内。面对受限区域之间的差异,我们首先引入泄漏概率的概念,以理解这种异质性如何影响学习过程,然后提出一种新的通信协议,我们称之为联邦Q协议(FedQ),该协议周期性地聚合智能体对其受限区域的知识,并相应地修改它们的学习问题以进行进一步训练。在理论分析方面,我们证明了FedQ作为通信协议的正确性,然后给出了基于RL oracle的派生算法FedQ-X的样本复杂度的一般结果,最后对FedQ-SynQ的样本复杂度进行了深入研究。具体而言,FedQ-X已被证明在工作负载均匀分布于智能体之间时,在样本复杂度方面享有线性加速。此外,我们在各种环境中进行了实验,以验证我们方法的效率。

英文摘要:

We study problems of federated control in Markov Decision Processes. To solve an MDP with large state space, multiple learning agents are introduced to collaboratively learn its optimal policy without communication of locally collected experience. In our settings, these agents have limited capabilities, which means they are restricted within different regions of the overall state space during the training process. In face of the difference among restricted regions, we firstly introduce concepts of leakage probabilities to understand how such heterogeneity affects the learning process, and then propose a novel communication protocol that we call Federated-Q protocol (FedQ), which periodically aggregates agents' knowledge of their restricted regions and accordingly modifies their learning problems for further training. In terms of theoretical analysis, we justify the correctness of FedQ as a communication protocol, then give a general result on sample complexity of derived algorithms FedQ-X with the RL oracle , and finally conduct a thorough study on the sample complexity of FedQ-SynQ. Specifically, FedQ-X has been shown to enjoy linear speedup in terms of sample complexity when workload is uniformly distributed among agents. Moreover, we carry out experiments in various environments to justify the efficiency of our methods.

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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