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The Convolutional Neural Network (CNN) is a state-of-the-art architecture for a wide range of deep learning problems, the quintessential example of which is computer vision. CNNs principally employ the convolution operation, which can be…

Image and Video Processing · Electrical Eng. & Systems 2021-03-17 Edward Cottle , Florent Michel , Joseph Wilson , Nick New , Iman Kundu

The convolutional neural network (CNN) is one of the most commonly used architectures for computer vision tasks. The key building block of a CNN is the convolutional kernel that aggregates information from the pixel neighborhood and shares…

Image and Video Processing · Electrical Eng. & Systems 2022-02-08 Tianyu Ma , Alan Q. Wang , Adrian V. Dalca , Mert R. Sabuncu

In computer vision, 2D convolution is arguably the most important operation performed by a ConvNet. Unsurprisingly, it has been the focus of intense software and hardware optimization and enjoys highly efficient implementations. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Alexandre Kirchmeyer , Jia Deng

Expanding the receptive field to capture large-scale context is key to obtaining good performance in dense prediction tasks, such as human pose estimation. While many state-of-the-art fully-convolutional architectures enlarge the receptive…

Machine Learning · Computer Science 2019-06-28 Linguang Zhang , Maciej Halber , Szymon Rusinkiewicz

The convolution computation is widely used in many fields, especially in CNNs. Because of the rapid growth of the training data in CNNs, GPUs have been used for the acceleration, and memory-efficient algorithms are focused because of thier…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-02 Qiong Chang , Masaki Onishi , Tsutomu Maruyama

In this article, using kernel convolution of order based dependent Dirichlet process (Griffin and Steel (2006)) we construct a nonstationary, nonseparable, nonparametric space-time process, which, as we show, satisfies desirable properties,…

Methodology · Statistics 2020-05-04 Moumita Das , Sourabh Bhattacharya

This paper introduces versatile filters to construct efficient convolutional neural networks that are widely used in various visual recognition tasks. Considering the demands of efficient deep learning techniques running on cost-effective…

Computer Vision and Pattern Recognition · Computer Science 2021-09-23 Kai Han , Yunhe Wang , Chang Xu , Chunjing Xu , Enhua Wu , Dacheng Tao

We introduce a class of convolutional neural networks (CNNs) that utilize recurrent neural networks (RNNs) as convolution filters. A convolution filter is typically implemented as a linear affine transformation followed by a non-linear…

Computation and Language · Computer Science 2018-08-29 Yi Yang

We introduce a fast algorithm for computing sparse Fourier transforms supported on smooth curves or surfaces. This problem appear naturally in several important problems in wave scattering and reflection seismology. The main observation is…

Numerical Analysis · Mathematics 2008-01-11 Lexing Ying

This paper proposed a Soft Filter Pruning (SFP) method to accelerate the inference procedure of deep Convolutional Neural Networks (CNNs). Specifically, the proposed SFP enables the pruned filters to be updated when training the model after…

Computer Vision and Pattern Recognition · Computer Science 2018-08-22 Yang He , Guoliang Kang , Xuanyi Dong , Yanwei Fu , Yi Yang

We introduce an accurate and efficient method for a class of nonlocal potential evaluations with free boundary condition, including the 3D/2D Coulomb, 2D Poisson and 3D dipolar potentials. Our method is based on a Gaussian-sum approximation…

Computational Physics · Physics 2016-12-09 Lukas Exl , Norbert J. Mauser , Yong Zhang

Kernel methods are powerful tools in statistical learning, but their cubic complexity in the sample size n limits their use on large-scale datasets. In this work, we introduce a scalable framework for kernel regression with O(n log n)…

Machine Learning · Statistics 2025-09-04 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer

Machine-intelligence has become a driving factor in modern society. However, its demand outpaces the underlying electronic technology due to limitations given by fundamental physics such as capacitive charging of wires, but also by system…

Image and Video Processing · Electrical Eng. & Systems 2020-08-18 Mario Miscuglio , Zibo Hu , Shurui Li , Jonathan George , Roberto Capanna , Philippe M. Bardet , Puneet Gupta , Volker J. Sorger

Convolutional neural network (CNN) has achieved impressive success in computer vision during the past few decades. The image convolution operation helps CNNs to get good performance on image-related tasks. However, the image convolution has…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Hengyue Pan , Yixin Chen , Xin Niu , Wenbo Zhou , Dongsheng Li

Discrete Fourier transforms provide a significant speedup in the computation of convolutions in deep learning. In this work, we demonstrate that, beyond its advantages for efficient computation, the spectral domain also provides a powerful…

Machine Learning · Statistics 2015-06-12 Oren Rippel , Jasper Snoek , Ryan P. Adams

Kernels are key in machine learning for modeling interactions. Unfortunately, brute-force computation of the related kernel sums scales quadratically with the number of samples. Recent Fourier-slicing methods lead to an improved linear…

Numerical Analysis · Mathematics 2025-10-14 Nicolaj Rux , Johannes Hertrich , Sebastian Neumayer

Generative neural network is a new category of neural networks and it has been widely utilized in applications such as content generation, unsupervised learning, segmentation and pose estimation. It typically involves massive…

Machine Learning · Computer Science 2020-04-30 Dawen Xu , Ying Wang , Kaijie Tu , Cheng Liu , Bingsheng He , Lei Zhang

Convolution is an essential operation in signal and image processing and consumes most of the computing power in convolutional neural networks. Photonic convolution has the promise of addressing computational bottlenecks and outperforming…

Optics · Physics 2023-08-14 Lingling Fan , Kai Wang , Heming Wang , Avik Dutt , Shanhui Fan

Dynamic convolution enhances model capacity by adaptively combining multiple kernels, yet faces critical trade-offs: prior works either (1) incur significant parameter overhead by scaling kernel numbers linearly, (2) compromise inference…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Haiduo Huang , Yadong Zhang , Yinghui Xu , Pengju Ren

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
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