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Representing and reasoning about 3D structures of macromolecules is emerging as a distinct challenge in machine learning. Here, we extend recent work on geometric vector perceptrons and apply equivariant graph neural networks to a wide…

Machine Learning · Computer Science 2021-07-14 Bowen Jing , Stephan Eismann , Pratham N. Soni , Ron O. Dror

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,…

Transformers exhibit great advantages in handling computer vision tasks. They model image classification tasks by utilizing a multi-head attention mechanism to process a series of patches consisting of split images. However, for complex…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Haichao Zhang , Kuangrong Hao , Witold Pedrycz , Lei Gao , Xuesong Tang , Bing Wei

Vision Transformers (ViTs) have gained rapid adoption in computational pathology for their ability to model long-range dependencies through self-attention, addressing the limitations of convolutional neural networks that excel at local…

Image and Video Processing · Electrical Eng. & Systems 2026-01-15 Fuyao Chen , Yuexi Du , Elèonore V. Lieffrig , Nicha C. Dvornek , John A. Onofrey

Vision transformers have become popular as a possible substitute to convolutional neural networks (CNNs) for a variety of computer vision applications. These transformers, with their ability to focus on global relationships in images, offer…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Asifullah Khan , Zunaira Rauf , Anabia Sohail , Abdul Rehman , Hifsa Asif , Aqsa Asif , Umair Farooq

The learning of Transformation-Equivariant Representations (TERs), which is introduced by Hinton et al. \cite{hinton2011transforming}, has been considered as a principle to reveal visual structures under various transformations. It contains…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Guo-Jun Qi , Liheng Zhang , Chang Wen Chen , Qi Tian

Convolutional Neural Networks (CNNs) perform very well in image classification and object detection in recent years, but even the most advanced models have limited rotation invariance. Known solutions include the enhancement of training…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Zongbo Hao , Tao Zhang , Mingwang Chen , Kaixu Zhou

In this paper, we introduce group convolutional neural networks (GCNNs) equivariant to color variation. GCNNs have been designed for a variety of geometric transformations from 2D and 3D rotation groups, to semi-groups such as scale.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Yulong Yang , Felix O'Mahony , Christine Allen-Blanchette

We introduce tensor field neural networks, which are locally equivariant to 3D rotations, translations, and permutations of points at every layer. 3D rotation equivariance removes the need for data augmentation to identify features in…

Machine Learning · Computer Science 2018-05-22 Nathaniel Thomas , Tess Smidt , Steven Kearnes , Lusann Yang , Li Li , Kai Kohlhoff , Patrick Riley

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

Vision transformers have shown great success on numerous computer vision tasks. However, its central component, softmax attention, prohibits vision transformers from scaling up to high-resolution images, due to both the computational…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Weixuan Sun , Zhen Qin , Hui Deng , Jianyuan Wang , Yi Zhang , Kaihao Zhang , Nick Barnes , Stan Birchfield , Lingpeng Kong , Yiran Zhong

Despite the widespread adoption of transformers in medical applications, the exploration of multi-scale learning through transformers remains limited, while hierarchical representations are considered advantageous for computer-aided medical…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Xiaoya Tang , Bodong Zhang , Man Minh Ho , Beatrice S. Knudsen , Tolga Tasdizen

Vision transformers (ViTs) have found only limited practical use in processing images, in spite of their state-of-the-art accuracy on certain benchmarks. The reason for their limited use include their need for larger training datasets and…

Computer Vision and Pattern Recognition · Computer Science 2022-01-26 Pranav Jeevan , Amit sethi

Shift equivariance is a fundamental principle that governs how we perceive the world - our recognition of an object remains invariant with respect to shifts. Transformers have gained immense popularity due to their effectiveness in both…

Computer Vision and Pattern Recognition · Computer Science 2023-06-14 Peijian Ding , Davit Soselia , Thomas Armstrong , Jiahao Su , Furong Huang

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

In this work, we focus on using convolution neural networks (CNN) to perform object recognition on the event data. In object recognition, it is important for a neural network to be robust to the variations of the data during testing. For…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Ziyun Wang

Analyzing scalar and vector fields on the sphere, such as temperature or wind speed and direction on Earth, is a difficult task. Models should respect both the rotational symmetries of the sphere and the inherent symmetries of the vector…

Machine Learning · Computer Science 2026-04-01 Francesco Ballerin , Nello Blaser , Erlend Grong

Group Convolutional Neural Networks (G-CNNs) constrain learned features to respect the symmetries in the selected group, and lead to better generalization when these symmetries appear in the data. If this is not the case, however,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 David W. Romero , Suhas Lohit

Visual Transformers (VTs) are emerging as an architectural paradigm alternative to Convolutional networks (CNNs). Differently from CNNs, VTs can capture global relations between image elements and they potentially have a larger…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Yahui Liu , Enver Sangineto , Wei Bi , Nicu Sebe , Bruno Lepri , Marco De Nadai

Invariance to spatial transformations such as translations and rotations is a desirable property and a basic design principle for classification neural networks. However, the commonly used convolutional neural networks (CNNs) are actually…

Machine Learning · Computer Science 2023-06-30 Yihan Wang , Lijia Yu , Xiao-Shan Gao