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arXiv 1909.05946cs.ROcs.LG
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黎曼流形上的高斯函数在机器人学习和自适应控制中的应用

Gaussians on Riemannian Manifolds: Applications for Robot Learning and Adaptive Control

Idiap Research Institute(Idiap研究所)

Sylvain Calinon

摘要:

本文概述了机器人学习和自适应控制的应用,可以受益于联合使用黎曼几何和概率表示。首先讨论了黎曼流形、测地线和平行运输在机器人学中的作用。几种形式的流形已经在机器人技术中使用,还列出了流形,已开发不足,但在未来的机器人学习应用的潜力。一系列的技术采用高斯分布黎曼流形,然后介绍,包括聚类,回归,信息融合,规划和控制问题。两个应用程序的例子,涉及从表面肌电图(sEMG)数据的假手的控制,和双手水下机器人的遥操作。最后讨论了进一步的前景,并提出了有前途的研究方向的建议。

英文摘要:

This article presents an overview of robot learning and adaptive control applications that can benefit from a joint use of Riemannian geometry and probabilistic representations. The roles of Riemannian manifolds, geodesics and parallel transport in robotics are first discussed. Several forms of manifolds already employed in robotics are then presented, by also listing manifolds that have been underexploited but that have potentials in future robot learning applications. A varied range of techniques employing Gaussian distributions on Riemannian manifolds is then introduced, including clustering, regression, information fusion, planning and control problems. Two examples of applications are presented, involving the control of a prosthetic hand from surface electromyography (sEMG) data, and the teleoperation of a bimanual underwater robot. Further perspectives are finally discussed, with suggestions of promising research directions.

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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