GAF: Gaussian Action Field as a 4D Representation for Dynamic World Modeling in Robotic Manipulation

Fuente: arXiv
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Auteurs principaux: Chai, Ying, Deng, Litao, Shao, Ruizhi, Zhang, Jiajun, Lv, Kangchen, Xing, Liangjun, Li, Xiang, Zhang, Hongwen, Liu, Yebin
Format: Preprint
Publié: 2025
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author Chai, Ying
Deng, Litao
Shao, Ruizhi
Zhang, Jiajun
Lv, Kangchen
Xing, Liangjun
Li, Xiang
Zhang, Hongwen
Liu, Yebin
author_facet Chai, Ying
Deng, Litao
Shao, Ruizhi
Zhang, Jiajun
Lv, Kangchen
Xing, Liangjun
Li, Xiang
Zhang, Hongwen
Liu, Yebin
contents Accurate scene perception is critical for vision-based robotic manipulation. Existing approaches typically follow either a Vision-to-Action (V-A) paradigm, predicting actions directly from visual inputs, or a Vision-to-3D-to-Action (V-3D-A) paradigm, leveraging intermediate 3D representations. However, these methods often struggle with action inaccuracies due to the complexity and dynamic nature of manipulation scenes. In this paper, we adopt a V-4D-A framework that enables direct action reasoning from motion-aware 4D representations via a Gaussian Action Field (GAF). GAF extends 3D Gaussian Splatting (3DGS) by incorporating learnable motion attributes, allowing 4D modeling of dynamic scenes and manipulation actions. To learn time-varying scene geometry and action-aware robot motion, GAF provides three interrelated outputs: reconstruction of the current scene, prediction of future frames, and estimation of init action via Gaussian motion. Furthermore, we employ an action-vision-aligned denoising framework, conditioned on a unified representation that combines the init action and the Gaussian perception, both generated by the GAF, to further obtain more precise actions. Extensive experiments demonstrate significant improvements, with GAF achieving +11.5385 dB PSNR, +0.3864 SSIM and -0.5574 LPIPS improvements in reconstruction quality, while boosting the average +7.3% success rate in robotic manipulation tasks over state-of-the-art methods.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14135
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle GAF: Gaussian Action Field as a 4D Representation for Dynamic World Modeling in Robotic Manipulation
Chai, Ying
Deng, Litao
Shao, Ruizhi
Zhang, Jiajun
Lv, Kangchen
Xing, Liangjun
Li, Xiang
Zhang, Hongwen
Liu, Yebin
Robotics
Computer Vision and Pattern Recognition
Accurate scene perception is critical for vision-based robotic manipulation. Existing approaches typically follow either a Vision-to-Action (V-A) paradigm, predicting actions directly from visual inputs, or a Vision-to-3D-to-Action (V-3D-A) paradigm, leveraging intermediate 3D representations. However, these methods often struggle with action inaccuracies due to the complexity and dynamic nature of manipulation scenes. In this paper, we adopt a V-4D-A framework that enables direct action reasoning from motion-aware 4D representations via a Gaussian Action Field (GAF). GAF extends 3D Gaussian Splatting (3DGS) by incorporating learnable motion attributes, allowing 4D modeling of dynamic scenes and manipulation actions. To learn time-varying scene geometry and action-aware robot motion, GAF provides three interrelated outputs: reconstruction of the current scene, prediction of future frames, and estimation of init action via Gaussian motion. Furthermore, we employ an action-vision-aligned denoising framework, conditioned on a unified representation that combines the init action and the Gaussian perception, both generated by the GAF, to further obtain more precise actions. Extensive experiments demonstrate significant improvements, with GAF achieving +11.5385 dB PSNR, +0.3864 SSIM and -0.5574 LPIPS improvements in reconstruction quality, while boosting the average +7.3% success rate in robotic manipulation tasks over state-of-the-art methods.
title GAF: Gaussian Action Field as a 4D Representation for Dynamic World Modeling in Robotic Manipulation
topic Robotics
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2506.14135