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arXiv 2501.13641cs.ROcs.LG
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学习可解释逆运动学模型之路:图神经网络作为符号回归的归纳偏置

The Road to Learning Explainable Inverse Kinematic Models: Graph Neural Networks as Inductive Bias for Symbolic Regression

Faculty of Computer Science, Otto-von-Guericke-University Magdeburg(马格德堡奥托·冯·格里克大学计算机科学学院);Fraunhofer Institute for Transportation and Infrastructure Systems IVI(弗劳恩霍夫运输与基础设施系统研究所IVI)

Pravin Pandey, Julia Reuter, Christoph Steup, Sanaz Mostaghim

AI总结:

本文利用图神经网络学习逆运动学模型,泛化至不同连杆长度的机械臂,并作为归纳偏置用于符号回归生成解析方程。

摘要:

本文展示了如何利用图神经网络(GNN)基于自动生成的数据集学习逆运动学(IK)。所生成的逆运动学被泛化到具有相同自由度(DOF)但连杆长度配置不同的一类机械臂。结果表明,对于3自由度,位置误差小于1.0厘米,对于5自由度,位置误差为4.5厘米;对于3自由度,方向误差为2°,对于6自由度,方向误差为8.2°,这使得其能够部署到某些现实世界问题中。然而,在生成的GNN中可以观察到域外误差和缺乏外推能力。对这些误差的广泛分析指出了未来改进的潜力。因此,所生成的GNN被定制为在未来的工作中用作归纳偏置,通过符号回归生成解析方程。

英文摘要:

This paper shows how a Graph Neural Network (GNN) can be used to learn an Inverse Kinematics (IK) based on an automatically generated dataset. The generated Inverse Kinematics is generalized to a family of manipulators with the same Degree of Freedom (DOF), but varying link length configurations. The results indicate a position error of less than 1.0 cm for 3 DOF and 4.5 cm for 5 DOF, and orientation error of 2$^\circ$ for 3 DOF and 8.2$^\circ$ for 6 DOF, which allows the deployment to certain real world-problems. However, out-of-domain errors and lack of extrapolation can be observed in the resulting GNN. An extensive analysis of these errors indicates potential for enhancement in the future. Consequently, the generated GNNs are tailored to be used in future work as an inductive bias to generate analytical equations through symbolic regression.

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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