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Equivariant neural networks are a class of neural networks designed to preserve symmetries inherent in the data. In this paper, we introduce a general method for modifying a neural network to enforce equivariance, a process we refer to as…

Machine Learning · Computer Science 2025-11-19 Erkao Bao , Jingcheng Lu , Linqi Song , Nathan Hart-Hodgson , William Parson , Yanheng Zhou

In remote sensing images, the absolute orientation of objects is arbitrary. Depending on an object's orientation and on a sensor's flight path, objects of the same semantic class can be observed in different orientations in the same image.…

Computer Vision and Pattern Recognition · Computer Science 2018-03-19 Diego Marcos , Michele Volpi , Benjamin Kellenberger , Devis Tuia

Convolutional neural networks owe much of their success to hard-coding translation equivariance. Quantum convolutional neural networks (QCNNs) have been proposed as near-term quantum analogues, but the relevant notion of translation depends…

Quantum Physics · Physics 2026-04-28 Dmitry Chirkov , Igor Lobanov

Convolutional Neural Networks(CNN) are inherently equivariant under translations, however, they do not have an equivalent embedded mechanism to handle other transformations such as rotations and change in scale. Several approaches exist…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Naman Khetan , Tushar Arora , Samee Ur Rehman , Deepak K. Gupta

3D Convolutional Neural Networks are sensitive to transformations applied to their input. This is a problem because a voxelized version of a 3D object, and its rotated clone, will look unrelated to each other after passing through to the…

Computer Vision and Pattern Recognition · Computer Science 2018-04-13 Daniel Worrall , Gabriel Brostow

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

CNNs exhibit inherent equivariance to image translation, leading to efficient parameter and data usage, faster learning, and improved robustness. The concept of translation equivariant networks has been successfully extended to rotation…

Computer Vision and Pattern Recognition · Computer Science 2024-11-07 Tomáš Karella , Adam Harmanec , Jan Kotera , Jan Blažek , Filip Šroubek

Invariances to translations have imbued convolutional neural networks with powerful generalization properties. However, we often do not know a priori what invariances are present in the data, or to what extent a model should be invariant to…

Machine Learning · Computer Science 2020-12-02 Gregory Benton , Marc Finzi , Pavel Izmailov , Andrew Gordon Wilson

Translation equivariance is a fundamental inductive bias in image restoration, ensuring that translated inputs produce translated outputs. Attention mechanisms in modern restoration transformers undermine this property, adversely impacting…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 JiaKui Hu , Zhengjian Yao , Lujia Jin , Hangzhou He , Yanye Lu

The effectiveness of neural processes (NPs) in modelling posterior prediction maps -- the mapping from data to posterior predictive distributions -- has significantly improved since their inception. This improvement can be attributed to two…

Since convolutional neural networks (CNNs) perform well at learning generalizable image priors from large-scale data, these models have been extensively applied to image restoration and related tasks. Recently, another class of neural…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Syed Waqas Zamir , Aditya Arora , Salman Khan , Munawar Hayat , Fahad Shahbaz Khan , Ming-Hsuan Yang

Convolutional Neural Networks (CNNs) traditionally encode translation equivariance via the convolution operation. Generalization to other transformations has recently received attraction to encode the knowledge of the data geometry in group…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Vincent Andrearczyk , Adrien Depeursinge

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

Transfer learning with models pretrained on ImageNet has become a standard practice in computer vision. Transfer learning refers to fine-tuning pretrained weights of a neural network on a downstream task, typically unrelated to ImageNet.…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Xander Coetzer , Arné Schreuder , Anna Sergeevna Bosman

In many computer vision tasks, we expect a particular behavior of the output with respect to rotations of the input image. If this relationship is explicitly encoded, instead of treated as any other variation, the complexity of the problem…

Computer Vision and Pattern Recognition · Computer Science 2018-07-06 Diego Marcos , Michele Volpi , Nikos Komodakis , Devis Tuia

Convolutional Neural Networks (CNNs) define an exceptionally powerful class of models for image classification, but the theoretical background and the understanding of how invariances to certain transformations are learned is limited. In a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-19 Charlotte Bunne , Lukas Rahmann , Thomas Wolf

We present recurrent transformer networks (RTNs) for obtaining dense correspondences between semantically similar images. Our networks accomplish this through an iterative process of estimating spatial transformations between the input…

Computer Vision and Pattern Recognition · Computer Science 2018-10-30 Seungryong Kim , Stephen Lin , Sangryul Jeon , Dongbo Min , Kwanghoon Sohn

For many years, it has been shown how much exploiting equivariances can be beneficial when solving image analysis tasks. For example, the superiority of convolutional neural networks (CNNs) compared to dense networks mainly comes from an…

Computer Vision and Pattern Recognition · Computer Science 2023-04-20 Valentin Delchevalerie , Alexandre Mayer , Adrien Bibal , Benoît Frénay

Deep Convolutional Neural Networks (CNNs) are empirically known to be invariant to moderate translation but not to rotation in image classification. This paper proposes a deep CNN model, called CyCNN, which exploits polar mapping of input…

Computer Vision and Pattern Recognition · Computer Science 2020-07-23 Jinpyo Kim , Wooekun Jung , Hyungmo Kim , Jaejin Lee

In Reinforcement Learning (RL), Convolutional Neural Networks(CNNs) have been successfully applied as function approximators in Deep Q-Learning algorithms, which seek to learn action-value functions and policies in various environments.…

Machine Learning · Computer Science 2020-07-08 Arnab Kumar Mondal , Pratheeksha Nair , Kaleem Siddiqi