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Recent advances in deep learning and Transformers have driven major breakthroughs in robotics by employing techniques such as imitation learning, reinforcement learning, and LLM-based multimodal perception and decision-making. However,…

Diffusion generative modeling has become a promising approach for learning robotic manipulation tasks from stochastic human demonstrations. In this paper, we present Diffusion-EDFs, a novel SE(3)-equivariant diffusion-based approach for…

We introduce the SE(3)-Transformer, a variant of the self-attention module for 3D point clouds and graphs, which is equivariant under continuous 3D roto-translations. Equivariance is important to ensure stable and predictable performance in…

Machine Learning · Computer Science 2020-11-26 Fabian B. Fuchs , Daniel E. Worrall , Volker Fischer , Max Welling

Machine learning has enabled the prediction of quantum chemical properties with high accuracy and efficiency, allowing to bypass computationally costly ab initio calculations. Instead of training on a fixed set of properties, more recent…

This paper presents a differential geometric control approach that leverages SE(3) group invariance and equivariance to increase transferability in learning robot manipulation tasks that involve interaction with the environment.…

Extending the translation equivariance property of convolutional neural networks to larger symmetry groups has been shown to reduce sample complexity and enable more discriminative feature learning. Further, exploiting additional symmetries…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Lisa Weijler , Pedro Hermosilla

While existing equivariant methods enhance data efficiency, they suffer from high computational intensity, reliance on single-modality inputs, and instability when combined with fast-sampling methods. In this work, we propose E3Flow, a…

Robotics · Computer Science 2026-03-25 Qinglun Zhang , Shen Cheng , Tian Dan , Haoqiang Fan , Guanghui Liu , Shuaicheng Liu

If a robot masters folding a kitchen towel, we would expect it to master folding a large beach towel. However, existing policy learning methods that rely on data augmentation still don't guarantee such generalization. Our insight is to add…

Robotics · Computer Science 2024-07-03 Jingyun Yang , Congyue Deng , Jimmy Wu , Rika Antonova , Leonidas Guibas , Jeannette Bohg

We present RiEMann, an end-to-end near Real-time SE(3)-Equivariant Robot Manipulation imitation learning framework from scene point cloud input. Compared to previous methods that rely on descriptor field matching, RiEMann directly predicts…

Robotics · Computer Science 2024-10-04 Chongkai Gao , Zhengrong Xue , Shuying Deng , Tianhai Liang , Siqi Yang , Lin Shao , Huazhe Xu

Equivariance of neural networks to transformations helps to improve their performance and reduce generalization error in computer vision tasks, as they apply to datasets presenting symmetries (e.g. scalings, rotations, translations). The…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Mateus Sangalli , Samy Blusseau , Santiago Velasco-Forero , Jesus Angulo

Many robot manipulation tasks can be framed as geometric reasoning tasks, where an agent must be able to precisely manipulate an object into a position that satisfies the task from a set of initial conditions. Often, task success is defined…

Robotics · Computer Science 2024-04-23 Ben Eisner , Yi Yang , Todor Davchev , Mel Vecerik , Jonathan Scholz , David Held

Building effective imitation learning methods that enable robots to learn from limited data and still generalize across diverse real-world environments is a long-standing problem in robot learning. We propose Equibot, a robust,…

Robotics · Computer Science 2024-10-30 Jingyun Yang , Zi-ang Cao , Congyue Deng , Rika Antonova , Shuran Song , Jeannette Bohg

When manipulating three-dimensional data, it is possible to ensure that rotational and translational symmetries are respected by applying so-called SE(3)-equivariant models. Protein structure prediction is a prominent example of a task…

Machine Learning · Computer Science 2021-03-17 Fabian B. Fuchs , Edward Wagstaff , Justas Dauparas , Ingmar Posner

Group equivariance (e.g. SE(3) equivariance) is a critical physical symmetry in science, from classical and quantum physics to computational biology. It enables robust and accurate prediction under arbitrary reference transformations. In…

Computational Engineering, Finance, and Science · Computer Science 2023-02-08 Weitao Du , He Zhang , Yuanqi Du , Qi Meng , Wei Chen , Bin Shao , Tie-Yan Liu

We present an end-to-end Reinforcement Learning(RL) framework for robotic manipulation tasks, using a robust and efficient keypoints representation. The proposed method learns keypoints from camera images as the state representation,…

Robotics · Computer Science 2022-02-15 Tianying Wang , En Yen Puang , Marcus Lee , Yan Wu , Wei Jing

Recently, a variety of new equivariant neural network model architectures have been proposed that generalize better over rotational and reflectional symmetries than standard models. These models are relevant to robotics because many…

Robotics · Computer Science 2021-11-01 Dian Wang , Robin Walters , Xupeng Zhu , Robert Platt

Equivariant diffusion models have achieved impressive performance in 3D molecule generation. These models incorporate Euclidean symmetries of 3D molecules by utilizing an SE(3)-equivariant denoising network. However, specialized equivariant…

Machine Learning · Computer Science 2025-07-01 Yuhui Ding , Thomas Hofmann

A truly generalizable approach to rigid segmentation and motion estimation is fundamental to 3D understanding of articulated objects and moving scenes. In view of the closely intertwined relationship between segmentation and motion…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Jia-Xing Zhong , Ta-Ying Cheng , Yuhang He , Kai Lu , Kaichen Zhou , Andrew Markham , Niki Trigoni

In robotic manipulation, acquiring samples is extremely expensive because it often requires interacting with the real world. Traditional image-level data augmentation has shown the potential to improve sample efficiency in various machine…

Robotics · Computer Science 2022-11-02 Mingxi Jia , Dian Wang , Guanang Su , David Klee , Xupeng Zhu , Robin Walters , Robert Platt

Category-level object pose estimation aims to find 6D object poses of previously unseen object instances from known categories without access to object CAD models. To reduce the huge amount of pose annotations needed for category-level…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Xiaolong Li , Yijia Weng , Li Yi , Leonidas Guibas , A. Lynn Abbott , Shuran Song , He Wang
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