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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

Robotic manipulation systems are increasingly deployed across diverse domains. Yet existing multi-modal learning frameworks lack inherent guarantees of geometric consistency, struggling to handle spatial transformations such as rotations…

Robotics · Computer Science 2025-11-20 Jian Deng , Yuandong Wang , Yangfu Zhu , Tao Feng , Tianyu Wo , Zhenzhou Shao

Imitation learning provides an efficient way to teach robots dexterous skills; however, learning complex skills robustly and generalizablely usually consumes large amounts of human demonstrations. To tackle this challenging problem, we…

Robotics · Computer Science 2024-09-30 Yanjie Ze , Gu Zhang , Kangning Zhang , Chenyuan Hu , Muhan Wang , Huazhe Xu

Equivariant models have recently been shown to improve the data efficiency of diffusion policy by a significant margin. However, prior work that explored this direction focused primarily on point cloud inputs generated by multiple cameras…

Robotics · Computer Science 2025-10-31 Boce Hu , Dian Wang , David Klee , Heng Tian , Xupeng Zhu , Haojie Huang , Robert Platt , Robin Walters

Defining and reliably finding a canonical orientation for 3D surfaces is key to many Computer Vision and Robotics applications. This task is commonly addressed by handcrafted algorithms exploiting geometric cues deemed as distinctive and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-16 Riccardo Spezialetti , Federico Stella , Marlon Marcon , Luciano Silva , Samuele Salti , Luigi Di Stefano

Canonicalization is a widely used strategy in equivariant machine learning, enforcing symmetry in neural networks by mapping each input to a standard form. Yet, it often introduces discontinuities that can affect stability during training,…

Machine Learning · Computer Science 2026-04-17 Ya-Wei Eileen Lin , Ron Levie

We propose a self-supervised capsule architecture for 3D point clouds. We compute capsule decompositions of objects through permutation-equivariant attention, and self-supervise the process by training with pairs of randomly rotated…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Weiwei Sun , Andrea Tagliasacchi , Boyang Deng , Sara Sabour , Soroosh Yazdani , Geoffrey Hinton , Kwang Moo Yi

In this paper, we focus on recognizing 3D shapes from arbitrary views, i.e., arbitrary numbers and positions of viewpoints. It is a challenging and realistic setting for view-based 3D shape recognition. We propose a canonical view…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Xin Wei , Yifei Gong , Fudong Wang , Xing Sun , Jian Sun

Many generative tasks in chemistry and science involve distributions invariant to group symmetries (e.g., permutation and rotation). A common strategy enforces invariance and equivariance through architectural constraints such as…

Machine Learning · Computer Science 2026-02-17 Cai Zhou , Zijie Chen , Zian Li , Jike Wang , Kaiyi Jiang , Pan Li , Rose Yu , Muhan Zhang , Stephen Bates , Tommi Jaakkola

Recently, equivariant neural networks for policy learning have shown promising improvements in sample efficiency and generalization, however, their wide adoption faces substantial barriers due to implementation complexity. Equivariant…

Robotics · Computer Science 2025-12-22 Dian Wang , Boce Hu , Shuran Song , Robin Walters , Robert Platt

In many applications, we desire neural networks to exhibit invariance or equivariance to certain groups due to symmetries inherent in the data. Recently, frame-averaging methods emerged to be a unified framework for attaining symmetries…

Machine Learning · Computer Science 2024-11-05 George Ma , Yifei Wang , Derek Lim , Stefanie Jegelka , Yisen Wang

Diffusion Policies are effective at learning closed-loop manipulation policies from human demonstrations but generalize poorly to novel arrangements of objects in 3D space, hurting real-world performance. To address this issue, we propose…

Robotics · Computer Science 2025-07-03 Xupeng Zhu , Fan Wang , Robin Walters , Jane Shi

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

We present a novel compact point cloud representation that is inherently invariant to scale, coordinate change and point permutation. The key idea is to parametrize a distance field around an individual shape into a unique, canonical, and…

Computer Vision and Pattern Recognition · Computer Science 2018-09-14 Kent Fujiwara , Ikuro Sato , Mitsuru Ambai , Yuichi Yoshida , Yoshiaki Sakakura

Learning-based 3D Scanning plays a crucial role in enabling efficient and accurate scanning of target objects. However, recent reinforcement learning-based methods often require large-scale training data and still struggle to generalize to…

Robotics · Computer Science 2026-03-12 Itsuki Hirako , Ryo Hakoda , Yubin Liu , Matthew Hwang , Yoshihiro Sato , Takeshi Oishi

Precise robot manipulations require rich spatial information in imitation learning. Image-based policies model object positions from fixed cameras, which are sensitive to camera view changes. Policies utilizing 3D point clouds usually…

Robotics · Computer Science 2024-09-11 Chenxi Wang , Hongjie Fang , Hao-Shu Fang , Cewu Lu

Tactile sensing plays a vital role in enabling robots to perform fine-grained, contact-rich tasks. However, the high dimensionality of tactile data, due to the large coverage on dexterous hands, poses significant challenges for effective…

Robotics · Computer Science 2025-06-17 Tianhao Wu , Jinzhou Li , Jiyao Zhang , Mingdong Wu , Hao Dong

Generative modeling of symmetric densities has a range of applications in AI for science, from drug discovery to physics simulations. The existing generative modeling paradigm for invariant densities combines an invariant prior with an…

Machine Learning · Computer Science 2026-04-14 Kusha Sareen , Daniel Levy , Arnab Kumar Mondal , Sékou-Oumar Kaba , Tara Akhound-Sadegh , Siamak Ravanbakhsh

Building a robust perception module is crucial for visuomotor policy learning. While recent methods incorporate pre-trained 2D foundation models into robotic perception modules to leverage their strong semantic understanding, they struggle…

Robotics · Computer Science 2025-07-14 Wenbo Cui , Chengyang Zhao , Yuhui Chen , Haoran Li , Zhizheng Zhang , Dongbin Zhao , He Wang

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
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