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arXiv 2603.02426cs.LG
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个性化多智能体平均回报TD学习 via 联合线性近似

Personalized Multi-Agent Average Reward TD-Learning via Joint Linear Approximation

Northeastern University(东北大学);Tsinghua University(清华大学)

Leo Muxing Wang, Pengkun Yang, Lili Su

AI总结:

本文提出通过联合线性近似实现个性化多智能体平均回报TD学习,通过共享子空间和局部头部的分解,有效缓解信号冲突并实现线性加速。

摘要:

我们研究了个性化多智能体平均回报TD学习,其中一组智能体与不同的环境互动并共同学习各自的价值函数。我们关注存在共享线性表示的设置,且智能体的最优权重集体位于一个未知的线性子空间中。受最近个性化联邦学习(PFL)的成功启发,我们研究了合作单时间尺度TD学习的收敛性,其中智能体迭代估计公共子空间和局部头部。我们展示了这种分解可以过滤掉冲突信号,有效减轻“不一致”信号的负面影响,并实现线性加速。主要技术挑战在于异质性、马尔可夫采样及其在塑造误差演化的复杂交互。具体来说,不仅多个变量的误差动态紧密相关,而且没有对最优子空间与估计子空间之间主角距离的直接收缩。我们希望我们的分析技术能为深入探索利用共同结构的研究提供灵感。实验展示了通过共享结构学习对更一般的控制问题的好处。

英文摘要:

We study personalized multi-agent average reward TD learning, in which a collection of agents interacts with different environments and jointly learns their respective value functions. We focus on the setting where there exists a shared linear representation, and the agents' optimal weights collectively lie in an unknown linear subspace. Inspired by the recent success of personalized federated learning (PFL), we study the convergence of cooperative single-timescale TD learning in which agents iteratively estimate the common subspace and local heads. We showed that this decomposition can filter out conflicting signals, effectively mitigating the negative impacts of ``misaligned'' signals, and achieving linear speedup. The main technical challenges lie in the heterogeneity, the Markovian sampling, and their intricate interplay in shaping error evolutions. Specifically, not only are the error dynamics of multiple variables closely interconnected, but there is also no direct contraction for the principal angle distance between the optimal subspace and the estimated subspace. We hope our analytical techniques can be useful to inspire research on deeper exploration into leveraging common structures. Experiments are provided to show the benefits of learning via a shared structure to the more general control problem.

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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