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Transformers have attained outstanding performance across various modalities, owing to their simple but powerful scaled-dot-product (SDP) attention mechanisms. Researchers have attempted to migrate Transformers to graph learning, but most…

Machine Learning · Computer Science 2026-01-30 Liheng Ma , Soumyasundar Pal , Yingxue Zhang , Philip H. S. Torr , Mark Coates

This paper introduces a new model to learn graph neural networks equivariant to rotations, translations, reflections and permutations called E(n)-Equivariant Graph Neural Networks (EGNNs). In contrast with existing methods, our work does…

Machine Learning · Computer Science 2022-02-17 Victor Garcia Satorras , Emiel Hoogeboom , Max Welling

Graph Neural Networks (GNNs) have emerged as the predominant method for analyzing graph-structured data. However, canonical GNNs have limited expressive power and generalization capability, thus triggering the development of more expressive…

Machine Learning · Computer Science 2024-08-07 Danial Saber , Amirali Salehi-Abari

As a basic component of SE(3)-equivariant deep feature learning, steerable convolution has recently demonstrated its advantages for 3D semantic analysis. The advantages are, however, brought by expensive computations on dense, volumetric…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Jiehong Lin , Hongyang Li , Ke Chen , Jiangbo Lu , Kui Jia

Modeling global geometric context while maintaining equivariance is crucial for accurate predictions in many fields such as biology, chemistry, or vision. Yet, this is challenging due to the computational demands of processing…

Machine Learning · Computer Science 2024-08-14 Artem Moskalev , Mangal Prakash , Rui Liao , Tommaso Mansi

Transformer is a ubiquitous model for natural language processing and has attracted wide attentions in computer vision. The attention maps are indispensable for a transformer model to encode the dependencies among input tokens. However,…

Machine Learning · Computer Science 2021-02-26 Yujing Wang , Yaming Yang , Jiangang Bai , Mingliang Zhang , Jing Bai , Jing Yu , Ce Zhang , Gao Huang , Yunhai Tong

We introduce Equivariant Neural Field Expectation Maximization (EFEM), a simple, effective, and robust geometric algorithm that can segment objects in 3D scenes without annotations or training on scenes. We achieve such unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Jiahui Lei , Congyue Deng , Karl Schmeckpeper , Leonidas Guibas , Kostas Daniilidis

We present a SE(3)-equivariant graph neural network (GNN) approach that directly predicting the formation factor and effective permeability from micro-CT images. FFT solvers are established to compute both the formation factor and effective…

Partial point cloud registration is a challenging problem in robotics, especially when the robot undergoes a large transformation, causing a significant initial pose error and a low overlap between measurements. This work proposes…

Robotics · Computer Science 2024-07-25 Chien Erh Lin , Minghan Zhu , Maani Ghaffari

3D reconstruction from multi-view images is a core challenge in computer vision. Recently, feed-forward methods have emerged as efficient and robust alternatives to traditional per-scene optimization techniques. Among them, state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Zipeng Wang , Dan Xu

Sparse attention is a core building block in many leading neural network models, from graph-structured learning to sparse sequence modeling. It can be decomposed into a sequence of three sparse matrix operations (3S): sampled dense-dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-14 Zitong Li , Aparna Chandramowlishwaran

Recently Transformers have provided state-of-the-art performance in sparse matching, crucial to realize high-performance 3D vision applications. Yet, these Transformers lack efficiency due to the quadratic computational complexity of their…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Suwichaya Suwanwimolkul , Satoshi Komorita

3D Euclidean symmetry equivariant neural networks have demonstrated notable success in modeling complex physical systems. We introduce a framework for relaxed $E(3)$ graph equivariant neural networks that can learn and represent symmetry…

Machine Learning · Computer Science 2024-12-11 Elyssa Hofgard , Rui Wang , Robin Walters , Tess Smidt

Accurately modeling agent behaviors is an important task in self-driving. It is also a task with many symmetries, such as equivariance to the order of agents and objects in the scene or equivariance to arbitrary roto-translations of the…

Robotics · Computer Science 2026-04-03 Scott Xu , Dian Chen , Kelvin Wong , Chris Zhang , Kion Fallah , Raquel Urtasun

Learning representations on large graphs is a long-standing challenge due to the inter-dependence nature. Transformers recently have shown promising performance on small graphs thanks to its global attention for capturing all-pair…

Machine Learning · Computer Science 2024-09-16 Qitian Wu , Kai Yang , Hengrui Zhang , David Wipf , Junchi Yan

We present SAGE3D, a hybrid Transformer-based model for corner detection in airborne LiDAR point clouds. We propose a multi-stage solution built on a hierarchical encoder-decoder architecture that progressively downsamples point clouds…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Batuhan Arda Bekar , Can Sarı , Hüseyin Can Gülkan , Barış Özcan

Many learning tasks, including learning potential energy surfaces from ab initio calculations, involve global spatial symmetries and permutational symmetry between atoms or general particles. Equivariant graph neural networks are a standard…

Machine Learning · Computer Science 2024-05-24 Zimu Li , Zihan Pengmei , Han Zheng , Erik Thiede , Junyu Liu , Risi Kondor

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

Neural networks that are equivariant to rotations, translations, reflections, and permutations on n-dimensional geometric space have shown promise in physical modeling for tasks such as accurately but inexpensively modeling complex…

Machine Learning · Computer Science 2023-01-25 Yuanqing Wang , John D. Chodera

SO(3) equivariant graph neural networks have become the dominant paradigm for atomistic foundation models, achieving high accuracy and data efficiency by building rotational symmetry directly into the architecture. Yet the computational…

Machine Learning · Computer Science 2026-05-12 Chen Wang , Siyu Hu , Guangming Tan , Weile Jia