ReSeFlow: Rectifying SE(3)-Equivariant Policy Learning Flows

Fuente: arXiv
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Autori principali: Wang, Zhitao, Wang, Yanke, Wen, Jiangtao, Horowitz, Roberto, Han, Yuxing
Natura: Preprint
Pubblicazione: 2025
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author Wang, Zhitao
Wang, Yanke
Wen, Jiangtao
Horowitz, Roberto
Han, Yuxing
author_facet Wang, Zhitao
Wang, Yanke
Wen, Jiangtao
Horowitz, Roberto
Han, Yuxing
contents Robotic manipulation in unstructured environments requires the generation of robust and long-horizon trajectory-level policy with conditions of perceptual observations and benefits from the advantages of SE(3)-equivariant diffusion models that are data-efficient. However, these models suffer from the inference time costs. Inspired by the inference efficiency of rectified flows, we introduce the rectification to the SE(3)-diffusion models and propose the ReSeFlow, i.e., Rectifying SE(3)-Equivariant Policy Learning Flows, providing fast, geodesic-consistent, least-computational policy generation. Crucially, both components employ SE(3)-equivariant networks to preserve rotational and translational symmetry, enabling robust generalization under rigid-body motions. With the verification on the simulated benchmarks, we find that the proposed ReSeFlow with only one inference step can achieve better performance with lower geodesic distance than the baseline methods, achieving up to a 48.5% error reduction on the painting task and a 21.9% reduction on the rotating triangle task compared to the baseline's 100-step inference. This method takes advantages of both SE(3) equivariance and rectified flow and puts it forward for the real-world application of generative policy learning models with the data and inference efficiency.
format Preprint
id arxiv_https___arxiv_org_abs_2509_22695
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle ReSeFlow: Rectifying SE(3)-Equivariant Policy Learning Flows
Wang, Zhitao
Wang, Yanke
Wen, Jiangtao
Horowitz, Roberto
Han, Yuxing
Robotics
Computer Vision and Pattern Recognition
Robotic manipulation in unstructured environments requires the generation of robust and long-horizon trajectory-level policy with conditions of perceptual observations and benefits from the advantages of SE(3)-equivariant diffusion models that are data-efficient. However, these models suffer from the inference time costs. Inspired by the inference efficiency of rectified flows, we introduce the rectification to the SE(3)-diffusion models and propose the ReSeFlow, i.e., Rectifying SE(3)-Equivariant Policy Learning Flows, providing fast, geodesic-consistent, least-computational policy generation. Crucially, both components employ SE(3)-equivariant networks to preserve rotational and translational symmetry, enabling robust generalization under rigid-body motions. With the verification on the simulated benchmarks, we find that the proposed ReSeFlow with only one inference step can achieve better performance with lower geodesic distance than the baseline methods, achieving up to a 48.5% error reduction on the painting task and a 21.9% reduction on the rotating triangle task compared to the baseline's 100-step inference. This method takes advantages of both SE(3) equivariance and rectified flow and puts it forward for the real-world application of generative policy learning models with the data and inference efficiency.
title ReSeFlow: Rectifying SE(3)-Equivariant Policy Learning Flows
topic Robotics
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2509.22695