arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2603.11264eess.SYcs.ROcs.SY
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多机器人多任务高斯过程估计与覆盖

Multi-Robot Multitask Gaussian Process Estimation and Coverage

Lai Wei, Andrew McDonald, Vaibhav Srivastava

AI总结:

本文提出了一种多任务覆盖算法,针对已知和未知的传感需求,结合高斯过程学习与联邦学习,实现自适应覆盖控制,通过理论分析和实验验证其有效性。

摘要:

覆盖控制对于最优部署代理以监控或覆盖具有传感需求的区域至关重要。虽然传统覆盖涉及单任务机器人,但增加的自主性现在使多任务操作成为可能。本文介绍了一个新的多任务覆盖问题,并针对已知和未知的传感需求情况加以解决。对于已知需求,我们设计了一个联邦多任务覆盖算法并建立其收敛性质。对于未知需求,我们采用多任务高斯过程(GP)框架来学习传感需求函数,并将其与多任务覆盖算法结合,开发出一种自适应算法。我们引入了一个新的多任务覆盖遗憾的概念,将自适应算法的性能与具有先验知识的 oracle 进行比较。我们证明了我们的算法实现了次线性累积遗憾,并通过数值示例展示了其性能。

英文摘要:

Coverage control is essential for the optimal deployment of agents to monitor or cover areas with sensory demands. While traditional coverage involves single-task robots, increasing autonomy now enables multitask operations. This paper introduces a novel multitask coverage problem and addresses it for both the cases of known and unknown sensory demands. For known demands, we design a federated multitask coverage algorithm and establish its convergence properties. For unknown demands, we employ a multitask Gaussian Process (GP) framework to learn sensory demand functions and integrate it with the multitask coverage algorithm to develop an adaptive algorithm. We introduce a novel notion of multitask coverage regret that compares the performance of the adaptive algorithm against an oracle with prior knowledge of the demand functions. We establish that our algorithm achieves sublinear cumulative regret, and numerically illustrate its performance.

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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