Physics-informed Temporal Difference Metric Learning for Robot Motion Planning

Ruiqi Ni, zherong pan, Ahmed H Qureshi

Keywords: Robot motion planning, Eikonal Equation, Physics-informed Neural Networks, Temporal Difference Learning, Metric Learning

TL;DR: Self-supervised physics informed neural networks for scalable robot motion planning

Abstract: The motion planning problem involves finding a collision-free path from a robot's starting to its target configuration. Recently, self-supervised learning methods have emerged to tackle motion planning problems without requiring expensive expert demonstrations. They solve the Eikonal equation for training neural networks and lead to efficient solutions. However, these methods struggle in complex environments because they fail to maintain key properties of the Eikonal equation, such as optimal value functions and geodesic distances. To overcome these limitations, we propose a novel self-supervised temporal difference metric learning approach that solves the Eikonal equation more accurately and enhances performance in solving complex and unseen planning tasks. Our method enforces Bellman's principle of optimality over finite regions, using temporal difference learning to avoid spurious local minima while incorporating metric learning to preserve the Eikonal equation's essential geodesic properties. We demonstrate that our approach significantly outperforms existing self-supervised learning methods in handling complex environments and generalizing to unseen environments, with robot configurations ranging from 2 to 12 degrees of freedom (DOF).

Primary Area: applications to robotics, autonomy, planning

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Submission Number: 10581