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This research advances robot learning by eliminating coordinate-induced bias in model identification through a geometrically invariant regression framework. By normalizing residuals using the system's Riemannian metric, the method improves parameter estimation accuracy across diverse robotic systems without relying on specific unit choices or chart definitions. Such mathematical rigor directly supports more robust and generalizable AI agents for physical manipulation tasks.
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Coordinate-Independent Robot Model Identification

arXiv2 min read

arXiv:2603.14656v2 Announce Type: replace Abstract: Robot model identification is commonly performed by least-squares regression on inverse dynamics, but existing formulations measure residuals directly in coordinate force space and therefore depend on the chosen coordinate chart, units, and scaling. This paper proposes a coordinate-independent identification method that weights inverse-dynamics residuals by the dual metric induced by the system Riemannian metric. Using the force--velocity vector--covector duality, the dual metric provides a physically meaningful normalization of generalized forces, pulling coordinate residuals back into the ambient mechanical space and eliminating coordinate-induced bias. The resulting objective remains convex through an affine-metric and Schur-complement reformulation, and is compatible with physical-consistency constraints and geometric regularization. Experiments on an inertia-dominated Crazyflie--pendulum system and a drag-dominated LandSalp robot show improved identification accuracy, especially on shape coordinates, on both downsampled and full datasets.

Abstract:Robot model identification is commonly performed by least-squares regression on inverse dynamics, but existing formulations measure residuals directly in coordinate force space and therefore depend on the chosen coordinate chart, units, and scaling. This paper proposes a coordinate-independent identification method that weights inverse-dynamics residuals by the dual metric induced by the system Riemannian metric. Using the force--velocity vector--covector duality, the dual metric provides a physically meaningful normalization of generalized forces, pulling coordinate residuals back into the ambient mechanical space and eliminating coordinate-induced bias. The resulting objective remains convex through an affine-metric and Schur-complement reformulation, and is compatible with physical-consistency constraints and geometric regularization. Experiments on an inertia-dominated Crazyflie--pendulum system and a drag-dominated LandSalp robot show improved identification accuracy, especially on shape coordinates, on both downsampled and full datasets.

8 pages, 7 figures, supplementary video: this https URL. Accepted to the IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS)

Robotics (cs.RO)

arXiv:2603.14656 [cs.RO]

(or arXiv:2603.14656v2 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2603.14656 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 240 words

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