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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

Image representations, from SIFT and bag of visual words to Convolutional Neural Networks (CNNs) are a crucial component of almost all computer vision systems. However, our understanding of them remains limited. In this paper we study…

Computer Vision and Pattern Recognition · Computer Science 2016-05-24 Aravindh Mahendran , Andrea Vedaldi

With the beginning of the noisy intermediate-scale quantum (NISQ) era, a quantum neural network (QNN) has recently emerged as a solution for several specific problems that classical neural networks cannot solve. Moreover, a quantum…

Quantum Physics · Physics 2022-10-19 Hankyul Baek , Won Joon Yun , Joongheon Kim

This work introduces the Topological CNN (TCNN), which encompasses several topologically defined convolutional methods. Manifolds with important relationships to the natural image space are used to parameterize image filters which are used…

Machine Learning · Computer Science 2021-03-05 Ephy R. Love , Benjamin Filippenko , Vasileios Maroulas , Gunnar Carlsson

How can prior knowledge on the transformation invariances of a domain be incorporated into the architecture of a neural network? We propose Equivariant Transformers (ETs), a family of differentiable image-to-image mappings that improve the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Kai Sheng Tai , Peter Bailis , Gregory Valiant

Machine learning and data processing techniques relying on covariance information are widespread as they identify meaningful patterns in unsupervised and unlabeled settings. As a prominent example, Principal Component Analysis (PCA)…

Machine Learning · Computer Science 2025-12-04 Andrea Cavallo , Ayushman Raghuvanshi , Sundeep Prabhakar Chepuri , Elvin Isufi

Convolutional neural networks (CNNs) are inherently limited to model geometric transformations due to the fixed geometric structures in its building modules. In this work, we introduce two new modules to enhance the transformation modeling…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Jifeng Dai , Haozhi Qi , Yuwen Xiong , Yi Li , Guodong Zhang , Han Hu , Yichen Wei

The translation equivariance of convolutions can make convolutional neural networks translation equivariant or invariant. Equivariance to other transformations (e.g. rotations, affine transformations, scalings) may also be desirable as soon…

Signal Processing · Electrical Eng. & Systems 2021-05-05 Mateus Sangalli , Samy Blusseau , Santiago Velasco-Forero , Jesus Angulo

Deep neural networks (DNN) have revolutionized the field of natural language processing (NLP). Convolutional neural network (CNN) and recurrent neural network (RNN), the two main types of DNN architectures, are widely explored to handle…

Computation and Language · Computer Science 2017-02-08 Wenpeng Yin , Katharina Kann , Mo Yu , Hinrich Schütze

Throughout the evolution of the neural networks more specialized cells were added to the set of basic building blocks. These cells aim to improve training convergence, increase the overall performance, and reduce the number of required…

Computer Vision and Pattern Recognition · Computer Science 2018-11-21 Andrey Filippov , Oleg Dzhimiev

CoVariance Neural Networks (VNNs) perform convolutions on the graph determined by the covariance matrix of the data, which enables expressive and stable covariance-based learning. However, covariance matrices are typically dense, fail to…

Machine Learning · Computer Science 2026-01-21 Andrea Cavallo , Samuel Rey , Antonio G. Marques , Elvin Isufi

Training convolutional neural networks (CNNs) with back-propagation (BP) is time-consuming and resource-intensive particularly in view of the need to visit the dataset multiple times. In contrast, analytic learning attempts to obtain the…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Huiping Zhuang , Zhiping Lin , Yimin Yang , Kar-Ann Toh

Binarized neural networks, or BNNs, show great promise in edge-side applications with resource limited hardware, but raise the concerns of reduced accuracy. Motivated by the complex neural networks, in this paper we introduce complex…

Neural and Evolutionary Computing · Computer Science 2021-04-21 Yanfei Li , Tong Geng , Ang Li , Huimin Yu

Pixel-wise operations between polarimetric images are important for processing polarization information. For the lack of such operations, the polarization information cannot be fully utilized in convolutional neural network(CNN). In this…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Yong Wang , Qi Liu , Hongyu Zu , Xiao Liu , Ruichao Xie , Feng Wang

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

By concatenating a polar transform with a convolutional transform, polarization-adjusted convolutional (PAC) codes can reach the dispersion approximation bound in certain rate cases. However, the sequential decoding nature of traditional…

Information Theory · Computer Science 2024-09-24 Jingxin Dai , Hang Yin , Yansong Lv , Yuhuan Wang , Rui Lv

Group equivariant neural networks have been explored in the past few years and are interesting from theoretical and practical standpoints. They leverage concepts from group representation theory, non-commutative harmonic analysis and…

Machine Learning · Computer Science 2020-05-01 Carlos Esteves

A long-standing proposition is that by emulating the operation of the brain's neocortex, a spiking neural network (SNN) can achieve similar desirable features: flexible learning, speed, and efficiency. Temporal neural networks (TNNs) are…

Neural and Evolutionary Computing · Computer Science 2021-02-24 James E. Smith

Quantization of Convolutional Neural Networks (CNNs) is a common approach to ease the computational burden involved in the deployment of CNNs, especially on low-resource edge devices. However, fixed-point arithmetic is not natural to the…

Machine Learning · Computer Science 2024-06-14 Ido Ben-Yair , Gil Ben Shalom , Moshe Eliasof , Eran Treister

Although numerical models provide accurate solutions for ice sheet dynamics based on physics laws, they accompany intensified computational demands to solve partial differential equations. In recent years, convolutional neural networks…

Machine Learning · Computer Science 2024-06-27 Younghyun Koo , Maryam Rahnemoonfar