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This research introduces RAM, a morphology-conditioned neural representation that accelerates robotic workspace reachability checks to nanosecond speeds while generalizing across unseen robot structures. By replacing slow, traditional inverse kinematics methods with this differentiable surrogate, the approach significantly speeds up downstream tasks like trajectory optimization and morphology synthesis. The work represents a major efficiency breakthrough for real-time control in complex robotic systems.
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RAM: Reachability Across Morphologies

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arXiv:2606.09108v2 Announce Type: replace-cross Abstract: Many stages of the robotic lifecycle, from morphology synthesis to operation, rely fundamentally on the reachable workspace. However, current methods for approximating workspaces are slow, imprecise, or tied to a single morphology. We introduce Reachability Across Morphologies (RAM): a morphology-conditioned, implicit neural representation that acts as a fast, differentiable surrogate for pose reachability, generalising to unseen morphologies while inherently accounting for self-collisions. RAM is trained on a large-scale dataset of $3\cdot10^{10}$ samples generated solely from forward kinematics, which we publish alongside the model. Experiments show that RAM reaches 84\% balanced accuracy at nanosecond inference, 15 percentage points higher than a generative inverse kinematics baseline that also generalises across morphologies, while running three orders of magnitude faster. This speed carries over to downstream tasks, accelerating morphology and trajectory optimisation by one to two orders of magnitude.

Abstract:Many stages of the robotic lifecycle, from morphology synthesis to operation, rely fundamentally on the reachable workspace. However, current methods for approximating workspaces are slow, imprecise, or tied to a single morphology. We introduce Reachability Across Morphologies (RAM): a morphology-conditioned, implicit neural representation that acts as a fast, differentiable surrogate for pose reachability, generalising to unseen morphologies while inherently accounting for self-collisions. RAM is trained on a large-scale dataset of $3\cdot10^{10}$ samples generated solely from forward kinematics, which we publish alongside the model. Experiments show that RAM reaches 84\% balanced accuracy at nanosecond inference, 15 percentage points higher than a generative inverse kinematics baseline that also generalises across morphologies, while running three orders of magnitude faster. This speed carries over to downstream tasks, accelerating morphology and trajectory optimisation by one to two orders of magnitude.

Accepted at the 10th Conference on Robot Learning (CoRL 2026). 23 pages, 15 figures. Project page: this https URL, code: this https URL

Robotics (cs.RO); Machine Learning (cs.LG)

arXiv:2606.09108 [cs.RO]

(or arXiv:2606.09108v2 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2606.09108 Focus to learn more arXiv-issued DOI via DataCite

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