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The weight-sharing mechanism of convolutional kernels ensures translation-equivariance of convolution neural networks (CNNs). Recently, rotation-equivariance has been investigated. However, research on scale-equivariance or simultaneous…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Wei-Dong Qiao , Yang Xu , Hui Li

Neural networks that process the parameters of other neural networks find applications in domains as diverse as classifying implicit neural representations, generating neural network weights, and predicting generalization errors. However,…

Although group convolutional networks are able to learn powerful representations based on symmetry patterns, they lack explicit means to learn meaningful relationships among them (e.g., relative positions and poses). In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2020-07-01 David W. Romero , Erik J. Bekkers , Jakub M. Tomczak , Mark Hoogendoorn

Graph Neural Networks (GNNs) have been widely applied to various fields due to their powerful representations of graph-structured data. Despite the success of GNNs, most existing GNNs are designed to learn node representations on the fixed…

Machine Learning · Computer Science 2021-06-14 Seongjun Yun , Minbyul Jeong , Sungdong Yoo , Seunghun Lee , Sean S. Yi , Raehyun Kim , Jaewoo Kang , Hyunwoo J. Kim

Rotation equivariance is a desirable property in many practical applications such as motion forecasting and 3D perception, where it can offer benefits like sample efficiency, better generalization, and robustness to input perturbations.…

Computer Vision and Pattern Recognition · Computer Science 2023-01-26 Serge Assaad , Carlton Downey , Rami Al-Rfou , Nigamaa Nayakanti , Ben Sapp

Graph Convolutional Networks (GCNs) are a class of general models that can learn from graph structured data. Despite being general, GCNs are admittedly inferior to convolutional neural networks (CNNs) when applied to vision tasks, mainly…

Computer Vision and Pattern Recognition · Computer Science 2019-07-23 Boris Knyazev , Xiao Lin , Mohamed R. Amer , Graham W. Taylor

Recent work suggests that changing Convolutional Neural Network (CNN) architecture by introducing a bottleneck in the second layer can yield changes in learned function. To understand this relationship fully requires a way of quantitatively…

Computer Vision and Pattern Recognition · Computer Science 2020-10-07 Ethan Harris , Daniela Mihai , Jonathon Hare

Lattice gauge equivariant convolutional neural networks (L-CNNs) are a framework for convolutional neural networks that can be applied to non-Abelian lattice gauge theories without violating gauge symmetry. We demonstrate how L-CNNs can be…

High Energy Physics - Lattice · Physics 2023-03-22 Jimmy Aronsson , David I. Müller , Daniel Schuh

Molecular interactions often involve high-order relationships that cannot be fully captured by traditional graph-based models limited to pairwise connections. Hypergraphs naturally extend graphs by enabling multi-way interactions, making…

Machine Learning · Computer Science 2025-05-12 Tien Dang , Truong-Son Hy

Equivariance w.r.t. geometric transformations in neural networks improves data efficiency, parameter efficiency and robustness to out-of-domain perspective shifts. When equivariance is not designed into a neural network, the network can…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Robert-Jan Bruintjes , Tomasz Motyka , Jan van Gemert

The rising adoption of machine learning in high energy physics and lattice field theory necessitates the re-evaluation of common methods that are widely used in computer vision, which, when applied to problems in physics, can lead to…

High Energy Physics - Lattice · Physics 2021-10-12 Srinath Bulusu , Matteo Favoni , Andreas Ipp , David I. Müller , Daniel Schuh

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 (CNNs) are a class of artificial neural networks whose computational blocks use convolution, together with other linear and non-linear operations, to perform classification or regression. This paper explores…

Computer Vision and Pattern Recognition · Computer Science 2018-10-09 Victor Stamatescu , Mark D. McDonnell

We treat the problem of color enhancement as an image translation task, which we tackle using both supervised and unsupervised learning. Unlike traditional image to image generators, our translation is performed using a global parameterized…

Computer Vision and Pattern Recognition · Computer Science 2020-01-17 Yoav Chai , Raja Giryes , Lior Wolf

Designing neural network architectures that can handle data symmetry is crucial. This is especially important for geometric graphs whose properties are equivariance under Euclidean transformations. Current equivariant graph neural networks…

Machine Learning · Computer Science 2025-03-14 Viet-Hoang Tran , Thieu N. Vo , Tho Tran Huu , Tan Minh Nguyen

Graph-based neural network models are gaining traction in the field of representation learning due to their ability to uncover latent topological relationships between entities that are otherwise challenging to identify. These models have…

Image and Video Processing · Electrical Eng. & Systems 2023-07-25 Aryan Singh , Pepijn Van de Ven , Ciarán Eising , Patrick Denny

The convolutional neural network (CNN) has become a basic model for solving many computer vision problems. In recent years, a new class of CNNs, recurrent convolution neural network (RCNN), inspired by abundant recurrent connections in the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Jianfeng Wang , Xiaolin Hu

Recently, graph Convolutional Neural Networks (graph CNNs) have been widely used for graph data representation and semi-supervised learning tasks. However, existing graph CNNs generally use a fixed graph which may be not optimal for…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Bo Jiang , Ziyan Zhang , Doudou Lin , Jin Tang

Conditional Neural Processes (CNPs) are a class of metalearning models popular for combining the runtime efficiency of amortized inference with reliable uncertainty quantification. Many relevant machine learning tasks, such as in…

We describe the class of convexified convolutional neural networks (CCNNs), which capture the parameter sharing of convolutional neural networks in a convex manner. By representing the nonlinear convolutional filters as vectors in a…

Machine Learning · Computer Science 2016-09-06 Yuchen Zhang , Percy Liang , Martin J. Wainwright