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In many machine learning tasks it is desirable that a model's prediction transforms in an equivariant way under transformations of its input. Convolutional neural networks (CNNs) implement translational equivariance by construction; for…

Machine Learning · Computer Science 2018-03-20 Maurice Weiler , Fred A. Hamprecht , Martin Storath

Higher order tensor inversion is possible for even order. We have shown that a tensor group endowed with the Einstein (contracted) product is isomorphic to the general linear group of degree $n$. With the isomorphic group structures, we…

Numerical Analysis · Mathematics 2011-09-20 Michael Brazell , Na Li , Carmeliza Navasca , Christino Tamon

Medical image segmentation plays an essential role in developing computer-assisted diagnosis and therapy systems, yet still faces many challenges. In the past few years, the popular encoder-decoder architectures based on CNNs (e.g., U-Net)…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Guoping Xu , Xingrong Wu , Xuan Zhang , Xinwei He

Many real-world problems can be naturally described by mathematical formulas. The task of finding formulas from a set of observed inputs and outputs is called symbolic regression. Recently, neural networks have been applied to symbolic…

Machine Learning · Computer Science 2022-10-24 Martin Vastl , Jonáš Kulhánek , Jiří Kubalík , Erik Derner , Robert Babuška

Modern vision backbones for 3D medical imaging typically process dense voxel grids through parameter-heavy encoder-decoder structures, a design that allocates a significant portion of its parameters to spatial reconstruction rather than…

Wearable electrocardiogram (ECG) measurement using dry electrodes has a problem with high-intensity noise distortion. Hence, a robust noise reduction method is required. However, overlapping frequency bands of ECG and noise make noise…

Signal Processing · Electrical Eng. & Systems 2025-01-14 Takamasa Terada , Masahiro Toyoura

While Transformer-based and standard Graph Neural Networks (GNNs) have proven to be the best performers in classifying different types of jets, they require substantial computational power. We explore the scope of using a lightweight and…

High Energy Physics - Phenomenology · Physics 2026-02-23 Rajneil Baruah , Subhadeep Mondal , Sunando Kumar Patra , Satyajit Roy

Learning representations on large-sized graphs is a long-standing challenge due to the inter-dependence nature involved in massive data points. Transformers, as an emerging class of foundation encoders for graph-structured data, have shown…

Machine Learning · Computer Science 2024-08-19 Qitian Wu , Wentao Zhao , Chenxiao Yang , Hengrui Zhang , Fan Nie , Haitian Jiang , Yatao Bian , Junchi Yan

Using convolutional neural networks for 360images can induce sub-optimal performance due to distortions entailed by a planar projection. The distortion gets deteriorated when a rotation is applied to the 360image. Thus, many researches…

Computer Vision and Pattern Recognition · Computer Science 2022-02-14 Sungmin Cho , Raehyuk Jung , Junseok Kwon

Convolutional Neural Networks (CNN) have been successful in processing data signals that are uniformly sampled in the spatial domain (e.g., images). However, most data signals do not natively exist on a grid, and in the process of being…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Chiyu "Max" Jiang , Dequan Wang , Jingwei Huang , Philip Marcus , Matthias Nießner

Accurately simulating soft tissue deformation is crucial for surgical training, pre-operative planning, and real-time haptic feedback systems. While physics-based models such as the finite element method (FEM) provide high-fidelity results,…

Image and Video Processing · Electrical Eng. & Systems 2025-09-23 Madina Kojanazarova , Sidaty El Hadramy , Jack Wilkie , Georg Rauter , Philippe C. Cattin

Convolution is the core operation for many deep neural networks. The Winograd convolution algorithms have been shown to accelerate the widely-used small convolution sizes. Quantized neural networks can effectively reduce model sizes and…

Neural and Evolutionary Computing · Computer Science 2019-01-09 Lingchuan Meng , John Brothers

Deep learning models are increasingly utilized on resource-constrained edge devices for real-time data analytics. Recently, Vision Transformer and their variants have shown exceptional performance in various computer vision tasks. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-22 Xiang Liu , Yijun Song , Xia Li , Yifei Sun , Huiying Lan , Zemin Liu , Linshan Jiang , Jialin Li

Equivariant Graph Neural Networks (EGNNs) have emerged as a promising approach in Multi-Agent Reinforcement Learning (MARL), leveraging symmetry guarantees to greatly improve sample efficiency and generalization. However, real-world…

Machine Learning · Computer Science 2025-03-21 Joshua McClellan , Greyson Brothers , Furong Huang , Pratap Tokekar

Learning and reasoning about 3D molecular structures with varying size is an emerging and important challenge in machine learning and especially in drug discovery. Equivariant Graph Neural Networks (GNNs) can simultaneously leverage the…

Machine Learning · Computer Science 2022-03-03 Tuan Le , Frank Noé , Djork-Arné Clevert

Convolutional Neural Networks (CNNs) have gained widespread popularity in the field of computer vision and image processing. Due to huge computational requirements of CNNs, dedicated hardware-based implementations are being explored to…

Signal Processing · Electrical Eng. & Systems 2019-03-06 Afzal Ahmad , Muhammad Adeel Pasha

It is a challenging task to learn discriminative representation from images and videos, due to large local redundancy and complex global dependency in these visual data. Convolution neural networks (CNNs) and vision transformers (ViTs) have…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Kunchang Li , Yali Wang , Junhao Zhang , Peng Gao , Guanglu Song , Yu Liu , Hongsheng Li , Yu Qiao

Electroencephalography (EEG)-based brain-computer interfaces (BCIs) transform spontaneous/evoked neural activity into control commands for external communication. While convolutional neural networks (CNNs) remain the mainstream backbone for…

Machine Learning · Computer Science 2025-09-23 Ziwei Wang , Hongbin Wang , Tianwang Jia , Xingyi He , Siyang Li , Dongrui Wu

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

While functional magnetic resonance imaging (fMRI) offers valuable insights into brain activity, it is limited by high operational costs and significant infrastructural demands. In contrast, electroencephalography (EEG) provides…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Kristofer Grover Roos , Atsushi Fukuda , Quan Huu Cap