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Robotic imitation learning has achieved impressive success in learning complex manipulation behaviors from demonstrations. However, many existing robot learning methods do not explicitly account for the physical symmetries of robotic…

Robotics · Computer Science 2026-03-25 Zhiyuan Zhang , Aditya Mohan , Seungho Han , Wan Shou , Dongyi Wang , Yu She

Visual imitation learning with 3D point clouds has advanced robotic manipulation by providing geometry-aware, appearance-invariant observations. However, point cloud-based policies remain highly sensitive to sensor noise, pose…

Robotics · Computer Science 2026-01-27 Zhiyuan Zhang , Yu She

In recent years, the transformer architecture has become the de facto standard for machine learning algorithms applied to natural language processing and computer vision. Despite notable evidence of successful deployment of this…

Robotics · Computer Science 2024-08-13 Carmelo Sferrazza , Dun-Ming Huang , Fangchen Liu , Jongmin Lee , Pieter Abbeel

While widespread, Transformers lack inductive biases for geometric symmetries common in science and computer vision. Existing equivariant methods often sacrifice the efficiency and flexibility that make Transformers so effective through…

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.…

Transformer architectures can effectively learn language-conditioned, multi-task 3D open-loop manipulation policies from demonstrations by jointly processing natural language instructions and 3D observations. However, although both the…

Robotics · Computer Science 2025-05-28 Xupeng Zhu , Yu Qi , Yizhe Zhu , Robin Walters , Robert Platt

Group equivariance has emerged as a valuable inductive bias in deep learning, enhancing generalization, data efficiency, and robustness. Classically, group equivariant methods require the groups of interest to be known beforehand, which may…

How can prior knowledge on the transformation invariances of a domain be incorporated into the architecture of a neural network? We propose Equivariant Transformers (ETs), a family of differentiable image-to-image mappings that improve the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Kai Sheng Tai , Peter Bailis , Gregory Valiant

End-to-end learning for visual robotic manipulation is known to suffer from sample inefficiency, requiring large numbers of demonstrations. The spatial roto-translation equivariance, or the SE(3)-equivariance can be exploited to improve the…

Robotics · Computer Science 2023-11-08 Hyunwoo Ryu , Hong-in Lee , Jeong-Hoon Lee , Jongeun Choi

The quest for robust and generalizable machine learning models has driven recent interest in exploiting symmetries through equivariant neural networks. In the context of PDE solvers, recent works have shown that Lie point symmetries can be…

Machine Learning · Computer Science 2025-03-06 Zakhar Shumaylov , Peter Zaika , James Rowbottom , Ferdia Sherry , Melanie Weber , Carola-Bibiane Schönlieb

Embodied intelligence has witnessed remarkable progress in recent years, driven by advances in computer vision, natural language processing, and the rise of large-scale multimodal models. Among its core challenges, robot manipulation stands…

Learning robust and generalizable manipulation skills from demonstrations remains a key challenge in robotics, with broad applications in industrial automation and service robotics. While recent imitation learning methods have achieved…

Computer Vision and Pattern Recognition · Computer Science 2024-11-18 Yu Ren , Yang Cong , Ronghan Chen , Jiahao Long

General-purpose robotic skills from end-to-end demonstrations often leads to task-specific policies that fail to generalize beyond the training distribution. Therefore, we introduce FunCanon, a framework that converts long-horizon…

Physical intelligence holds immense promise for advancing embodied intelligence, enabling robots to acquire complex behaviors from demonstrations. However, achieving generalization and transfer across diverse robotic platforms and…

Robotics · Computer Science 2025-03-10 Yu Zhao , Huxian Liu , Xiang Chen , Jiankai Sun , Jiahuan Yan , Luhui Hu

Fine-grained visual classification (FGVC) tasks, such as insect and bird identification, demand sensitivity to subtle visual cues while remaining robust to spatial transformations. A key challenge is handling geometric biases and noise,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-10 Johann Schmidt , Sebastian Stober

Learning to predict agent motions with relationship reasoning is important for many applications. In motion prediction tasks, maintaining motion equivariance under Euclidean geometric transformations and invariance of agent interaction is a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Chenxin Xu , Robby T. Tan , Yuhong Tan , Siheng Chen , Yu Guang Wang , Xinchao Wang , Yanfeng Wang

One central goal of robotics is to enable robots to interact with the physical world. Traditional manipulation studies primarily focus on single robots and relatively small objects. However, factory and domestic environments often require…

Robotics · Computer Science 2026-05-26 Kun Song , Gaoming Chen , Shentao Ma , Ninglong Jin , Guangbao Zhao , Mingyu Ding , Zhenhua Xiong , Jia Pan

Incorporating inductive biases is a promising approach for tackling challenging robot learning domains with sample-efficient solutions. This paper identifies partially observable domains where symmetries can be a useful inductive bias for…

Robotics · Computer Science 2024-08-27 Hai Nguyen , Andrea Baisero , David Klee , Dian Wang , Robert Platt , Christopher Amato

Many machine learning models leverage group invariance which is enjoyed with a wide-range of applications. For exploiting an invariance structure, one common approach is known as \emph{frame averaging}. One popular example of frame…

Machine Learning · Computer Science 2025-09-23 Wee Chaimanowong , Ying Zhu

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