Faster Visuomotor Policy Learning on Action Manifolds via Riemannian MeanFlow
arXiv preprint arXiv:2609.30127, 2026
A visuomotor policy that generates robot actions directly on the action manifold, in as few as one network evaluation.
Diffusion and flow-matching visuomotor policies capture multimodal action distributions, but their multi-step sampling is too slow for fast control, and robot actions often live on a curved manifold that the policy has to respect. We present Riemannian MeanFlow Policy (RMFP), which learns the conditioned flow map of the probability path on the robot action manifold, trained with a flow-map consistency objective anchored by Riemannian Conditional Flow Matching. RMFP generates on-manifold action sequences in as few as one network evaluation, is competitive with prior work at lower sampling cost on spherical LASA, Push-T, Robomimic (Tool Hang, Transport), and Franka Kitchen, and runs on a real robot under imperfect sensing.
My contribution:
@article{bukhari2026rmfp,
title = {Faster Visuomotor Policy Learning on Action Manifolds via
Riemannian MeanFlow},
author = {Bukhari, S. Talha and Garrett, Austin and Wei, Yi and
Ni, Ruiqi and Kingston, Zachary and Bera, Aniket},
journal = {arXiv preprint arXiv:2609.30127},
year = {2026}
}


