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This paper advances the study of multivariate function approximation using neural network operators activated by symmetrized and perturbed hyperbolic tangent functions. We propose new non-linear operators that preserve dynamic symmetries…

General Mathematics · Mathematics 2025-01-29 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

With the rapid development of the Intelligent Transportation System (ITS), accurate traffic forecasting has emerged as a critical challenge. The key bottleneck lies in capturing the intricate spatio-temporal traffic patterns. In recent…

Machine Learning · Computer Science 2023-10-10 Hangchen Liu , Zheng Dong , Renhe Jiang , Jiewen Deng , Jinliang Deng , Quanjun Chen , Xuan Song

While attention has been empirically shown to improve model performance, it lacks a rigorous mathematical justification. This short paper establishes a novel connection between attention mechanisms and multinomial regression. Specifically,…

Machine Learning · Computer Science 2025-10-28 Jonas A. Actor , Anthony Gruber , Eric C. Cyr

Estimating the depths of equirectangular (i.e., 360) images (EIs) is challenging given the distorted 180 x 360 field-of-view, which is hard to be addressed via convolutional neural network (CNN). Although a transformer with global attention…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Ilwi Yun , Chanyong Shin , Hyunku Lee , Hyuk-Jae Lee , Chae Eun Rhee

Accurate volumetric image registration is highly relevant for clinical routines and computer-aided medical diagnosis. Recently, researchers have begun to use transformers in learning-based methods for medical image registration, and have…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Ahsan Raza Siyal , Astrid Ellen Grams , Markus Haltmeier

The Transformer is a highly successful deep learning model that has revolutionised the world of artificial neural networks, first in natural language processing and later in computer vision. This model is based on the attention mechanism…

Machine Learning · Computer Science 2023-05-09 Riccardo Ughi , Eugenio Lomurno , Matteo Matteucci

In robotic tasks, changes in reference frames typically do not influence the underlying physical properties of the system, which has been known as invariance of physical laws.These changes, which preserve distance, encompass isometric…

Machine Learning · Computer Science 2023-07-18 Linfeng Zhao , Owen Howell , Jung Yeon Park , Xupeng Zhu , Robin Walters , Lawson L. S. Wong

With the development of the convolutional neural network, image style transfer has drawn increasing attention. However, most existing approaches adopt a global feature transformation to transfer style patterns into content images (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2022-10-12 Jianbo Wang , Huan Yang , Jianlong Fu , Toshihiko Yamasaki , Baining Guo

We introduce Group equivariant Convolutional Neural Networks (G-CNNs), a natural generalization of convolutional neural networks that reduces sample complexity by exploiting symmetries. G-CNNs use G-convolutions, a new type of layer that…

Machine Learning · Computer Science 2016-06-06 Taco S. Cohen , Max Welling

We propose a supervised learning algorithm for machine learning applications. Contrary to the model developing in the classical methods, which treat training, validation, and test as separate steps, in the presented approach, there is a…

Machine Learning · Computer Science 2019-09-24 Soheil Mehrabkhani

Pretrained Vision Transformers (ViTs) such as DINOv2 and MAE provide generic image features that can be applied to a variety of downstream tasks such as retrieval, classification, and segmentation. However, such representations tend to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Jona Ruthardt , Manu Gaur , Deva Ramanan , Makarand Tapaswi , Yuki M. Asano

Recent stereo matching networks achieves dramatic performance by introducing epipolar line constraint to limit the matching range of dual-view. However, in complicated real-world scenarios, the feature information based on intra-epipolar…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Wei Miao , Hong Zhao , Tongjia Chen , Wei Huang , Changyan Xiao

Effectively preserving and encoding structure features from objects in irregular and sparse LiDAR points is a key challenge to 3D object detection on point cloud. Recently, Transformer has demonstrated promising performance on many 2D and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Xiaoyu Feng , Heming Du , Yueqi Duan , Yongpan Liu , Hehe Fan

In many application domains such as computer vision, Convolutional Layers (CLs) are key to the accuracy of deep learning methods. However, it is often required to assemble a large number of CLs, each containing thousands of parameters, in…

Neural and Evolutionary Computing · Computer Science 2019-05-30 Ghouthi Boukli Hacene , Carlos Lassance , Vincent Gripon , Matthieu Courbariaux , Yoshua Bengio

Group equivariant and steerable convolutional neural networks (regular and steerable G-CNNs) have recently emerged as a very effective model class for learning from signal data such as 2D and 3D images, video, and other data where…

Machine Learning · Computer Science 2018-04-02 Taco S. Cohen , Mario Geiger , Maurice Weiler

Attention mechanisms, and most prominently self-attention, are a powerful building block for processing not only text but also images. These provide a parameter efficient method for aggregating inputs. We focus on self-attention in vision…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Nichita Diaconu , Daniel E Worrall

Vision transformers are effective deep learning models for vision tasks, including medical image segmentation. However, they lack efficiency and translational invariance, unlike convolutional neural networks (CNNs). To model long-range…

Image and Video Processing · Electrical Eng. & Systems 2023-08-15 Liam Chalcroft , Ruben Lourenço Pereira , Mikael Brudfors , Andrew S. Kayser , Mark D'Esposito , Cathy J. Price , Ioannis Pappas , John Ashburner

We introduce an $E(n)$-equivariant Transformer architecture for spatio-temporal graph data. By imposing rotation, translation, and permutation equivariance inductive biases in both space and time, we show that the Spacetime…

Machine Learning · Computer Science 2024-08-13 Sergio G. Charles

Window-based attention has become a popular choice in vision transformers due to its superior performance, lower computational complexity, and less memory footprint. However, the design of hand-crafted windows, which is data-agnostic,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Qiming Zhang , Jing Zhang , Yufei Xu , Dacheng Tao

Time series forecasting at scale presents significant challenges for modern prediction systems, particularly when dealing with large sets of synchronized series, such as in a global payment network. In such systems, three key challenges…

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