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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

Convolutions encode equivariance symmetries into neural networks leading to better generalisation performance. However, symmetries provide fixed hard constraints on the functions a network can represent, need to be specified in advance, and…

Machine Learning · Computer Science 2023-10-11 Tycho F. A. van der Ouderaa , Alexander Immer , Mark van der Wilk

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

Learning transformation invariant representations of visual data is an important problem in computer vision. Deep convolutional networks have demonstrated remarkable results for image and video classification tasks. However, they have…

Computer Vision and Pattern Recognition · Computer Science 2017-03-02 Renata Khasanova , Pascal Frossard

Vision Transformers have achieved great success in computer visions, delivering exceptional performance across various tasks. However, their inherent reliance on sequential input enforces the manual partitioning of images into patch…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Changzhen Li , Jie Zhang , Yang Wei , Zhilong Ji , Jinfeng Bai , Shiguang Shan

The design of convolutional neural architectures that are exactly equivariant to continuous translations is an active field of research. It promises to benefit scientific computing, notably by making existing imaging systems more physically…

Computer Vision and Pattern Recognition · Computer Science 2025-06-19 Jérémy Scanvic , Quentin Barthélemy , Julián Tachella

The inclusion of symmetries as an inductive bias, known as equivariance, often improves generalization on geometric data (e.g. grids, sets, and graphs). However, equivariant architectures are usually highly constrained, designed for…

Machine Learning · Computer Science 2026-03-23 Abhinav Goel , Derek Lim , Hannah Lawrence , Stefanie Jegelka , Ningyuan Huang

Recently, learning equivariant representations has attracted considerable research attention. Dieleman et al. introduce four operations which can be inserted into convolutional neural network to learn deep representations equivariant to…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Junying Li , Zichen Yang , Haifeng Liu , Deng Cai

This paper presents RadioGUNet, a UNet-based deep learning framework for pathloss estimation in wireless communication. Unlike other frameworks, it leverages group equivariant convolutional networks, which are known to increase the…

Networking and Internet Architecture · Computer Science 2025-11-25 Ziyue Yang , Feng Liu , Yifei Jin , Konstantinos Vandikas

Equivariant deep learning architectures exploit symmetries in learning problems to improve the sample efficiency of neural-network-based models and their ability to generalise. However, when modelling real-world data, learning problems are…

Machine Learning · Statistics 2024-11-12 Matthew Ashman , Cristiana Diaconu , Adrian Weller , Wessel Bruinsma , Richard E. Turner

It is time-consuming and expensive to take high-quality or high-resolution electron microscopy (EM) and fluorescence microscopy (FM) images. Taking these images could be even invasive to samples and may damage certain subtleties in the…

Computer Vision and Pattern Recognition · Computer Science 2022-06-06 Yaochen Xie , Yu Ding , Shuiwang Ji

We introduce a new image segmentation task, called Entity Segmentation (ES), which aims to segment all visual entities (objects and stuffs) in an image without predicting their semantic labels. By removing the need of class label…

Computer Vision and Pattern Recognition · Computer Science 2022-12-21 Lu Qi , Jason Kuen , Yi Wang , Jiuxiang Gu , Hengshuang Zhao , Zhe Lin , Philip Torr , Jiaya Jia

With the substantial performance of neural networks in sensitive fields increases the need for interpretable deep learning models. Major challenge is to uncover the multiscale and distributed representation hidden inside the basket mappings…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Piduguralla Manaswini , Jignesh S. Bhatt

Diffusion transformers have been widely adopted for text-to-image synthesis. While scaling these models up to billions of parameters shows promise, the effectiveness of scaling beyond current sizes remains underexplored and challenging. By…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Haotian Sun , Tao Lei , Bowen Zhang , Yanghao Li , Haoshuo Huang , Ruoming Pang , Bo Dai , Nan Du

Constructing model-agnostic group equivariant networks, such as equitune (Basu et al., 2023b) and its generalizations (Kim et al., 2023), can be computationally expensive for large product groups. We address this problem by providing…

Machine Learning · Computer Science 2024-10-08 Razan Baltaji , Sourya Basu , Lav R. Varshney

Latent representations are used extensively for downstream tasks, such as visualization, interpolation or feature extraction of deep learning models. Invariant and equivariant neural networks are powerful and well-established models for…

Machine Learning · Computer Science 2025-01-16 Andreas Abildtrup Hansen , Anna Calissano , Aasa Feragen

We present a new class of equivariant neural networks, hereby dubbed Lattice-Equivariant Neural Networks (LENNs), designed to satisfy local symmetries of a lattice structure. Our approach develops within a recently introduced framework…

Computational Physics · Physics 2025-04-30 Giulio Ortali , Alessandro Gabbana , Imre Atmodimedjo , Alessandro Corbetta

We introduce equi-tuning, a novel fine-tuning method that transforms (potentially non-equivariant) pretrained models into group equivariant models while incurring minimum $L_2$ loss between the feature representations of the pretrained and…

Equivariance to symmetries has proven to be a powerful inductive bias in deep learning research. Recent works on mesh processing have concentrated on various kinds of natural symmetries, including translations, rotations, scaling, node…

Machine Learning · Computer Science 2022-08-30 Sourya Basu , Jose Gallego-Posada , Francesco Viganò , James Rowbottom , Taco Cohen

Inference-time computation techniques, analogous to human System 2 Thinking, have recently become popular for improving model performances. However, most existing approaches suffer from several limitations: they are modality-specific (e.g.,…