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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

Most 3D shape completion approaches rely heavily on partial-complete shape pairs and learn in a fully supervised manner. Despite their impressive performances on in-domain data, when generalizing to partial shapes in other forms or…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Junzhe Zhang , Xinyi Chen , Zhongang Cai , Liang Pan , Haiyu Zhao , Shuai Yi , Chai Kiat Yeo , Bo Dai , Chen Change Loy

In recent years, neural implicit representations have made remarkable progress in modeling of 3D shapes with arbitrary topology. In this work, we address two key limitations of such representations, in failing to capture local 3D geometric…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Yunlu Chen , Basura Fernando , Hakan Bilen , Matthias Nießner , Efstratios Gavves

This paper presents SIM-Sync, a certifiably optimal algorithm that estimates camera trajectory and 3D scene structure directly from multiview image keypoints. SIM-Sync fills the gap between pose graph optimization and bundle adjustment; the…

Robotics · Computer Science 2023-09-12 Xihang Yu , Heng Yang

Visual Imitation learning has achieved remarkable progress in robotic manipulation, yet generalization to unseen objects, scene layouts, and camera viewpoints remains a key challenge. Recent advances address this by using 3D point clouds,…

Robotics · Computer Science 2025-11-11 Zhiyuan Zhang , Zhengtong Xu , Jai Nanda Lakamsani , Yu She

Learning about the three-dimensional world from two-dimensional images is a fundamental problem in computer vision. An ideal neural network architecture for such tasks would leverage the fact that objects can be rotated and translated in…

Computer Vision and Pattern Recognition · Computer Science 2023-07-10 Owen Howell , David Klee , Ondrej Biza , Linfeng Zhao , Robin Walters

3D shapes captured by scanning devices are often incomplete due to occlusion. 3D shape completion methods have been explored to tackle this limitation. However, most of these methods are only trained and tested on a subset of categories,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Lintai Wu , Junhui Hou , Linqi Song , Yong Xu

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

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,…

6D pose estimation of rigid objects from RGB-D images is crucial for object grasping and manipulation in robotics. Although RGB channels and the depth (D) channel are often complementary, providing respectively the appearance and geometry…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Haoran Pan , Jun Zhou , Yuanpeng Liu , Xuequan Lu , Weiming Wang , Xuefeng Yan , Mingqiang Wei

We introduce $\pi^3$, a feed-forward neural network that offers a novel approach to visual geometry reconstruction, breaking the reliance on a conventional fixed reference view. Previous methods often anchor their reconstructions to a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Yifan Wang , Jianjun Zhou , Haoyi Zhu , Wenzheng Chang , Yang Zhou , Zizun Li , Junyi Chen , Jiangmiao Pang , Chunhua Shen , Tong He

Correspondence matching is a fundamental problem in computer vision and robotics applications. Solving correspondence matching problems using neural networks has been on the rise recently. Rotation-equivariance and scale-equivariance are…

Computer Vision and Pattern Recognition · Computer Science 2022-08-23 Shuai Su , Zhongkai Zhao , Yixin Fei , Shuda Li , Qijun Chen , Rui Fan

While 3D shape representations enable powerful reasoning in many visual and perception applications, learning 3D shape priors tends to be constrained to the specific categories trained on, leading to an inefficient learning process,…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Yuchen Rao , Yinyu Nie , Angela Dai

Shape assembly aims to reassemble parts (or fragments) into a complete object, which is a common task in our daily life. Different from the semantic part assembly (e.g., assembling a chair's semantic parts like legs into a whole chair),…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Ruihai Wu , Chenrui Tie , Yushi Du , Yan Zhao , Hao Dong

We propose a method for 3D shape reconstruction from unoriented point clouds. Our method consists of a novel SE(3)-equivariant coordinate-based network (TF-ONet), that parametrizes the occupancy field of the shape and respects the inherent…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Evangelos Chatzipantazis , Stefanos Pertigkiozoglou , Edgar Dobriban , Kostas Daniilidis

Finding correspondences between 3D shapes is a crucial problem in computer vision and graphics, which is for example relevant for tasks like shape interpolation, pose transfer, or texture transfer. An often neglected but essential property…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Viktoria Ehm , Paul Roetzer , Marvin Eisenberger , Maolin Gao , Florian Bernard , Daniel Cremers

Deploying 3D graph neural networks (GNNs) that are equivariant to 3D rotations (the group SO(3)) on edge devices is challenging due to their high computational cost. This paper addresses the problem by compressing and accelerating an…

Machine Learning · Computer Science 2026-03-04 Haoyu Zhou , Ping Xue , Hao Zhang , Tianfan Fu

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

Learning self-supervised representations that are invariant and equivariant to transformations is crucial for advancing beyond traditional visual classification tasks. However, many methods rely on predictor architectures to encode…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Athinoulla Konstantinou , Georgios Leontidis , Mamatha Thota , Aiden Durrant

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
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