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We propose a novel approach to image classification inspired by complex nonlinear biological visual processing, whereby classical convolutional neural networks (CNNs) are equipped with learnable higher-order convolutions. Our model…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Simone Azeglio , Olivier Marre , Peter Neri , Ulisse Ferrari

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

This paper introduces a generalization of Convolutional Neural Networks (CNNs) to graphs with irregular linkage structures, especially heterogeneous graphs with typed nodes and schemas. We propose a novel spatial convolution operation to…

Machine Learning · Computer Science 2019-07-23 Aravind Sankar , Xinyang Zhang , Kevin Chen-Chuan Chang

Convolution Neural Networks on Graphs are important generalization and extension of classical CNNs. While previous works generally assumed that the graph structures of samples are regular with unified dimensions, in many applications, they…

Machine Learning · Computer Science 2017-08-17 Ruoyu Li , Junzhou Huang

Tensor decomposition methods are widely used for model compression and fast inference in convolutional neural networks (CNNs). Although many decompositions are conceivable, only CP decomposition and a few others have been applied in…

Machine Learning · Computer Science 2019-11-28 Kohei Hayashi , Taiki Yamaguchi , Yohei Sugawara , Shin-ichi Maeda

We present an efficient convolution kernel for Convolutional Neural Networks (CNNs) on unstructured grids using parameterized differential operators while focusing on spherical signals such as panorama images or planetary signals. To this…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Chiyu "Max" Jiang , Jingwei Huang , Karthik Kashinath , Prabhat , Philip Marcus , Matthias Niessner

We present Spline-based Convolutional Neural Networks (SplineCNNs), a variant of deep neural networks for irregular structured and geometric input, e.g., graphs or meshes. Our main contribution is a novel convolution operator based on…

Computer Vision and Pattern Recognition · Computer Science 2018-05-24 Matthias Fey , Jan Eric Lenssen , Frank Weichert , Heinrich Müller

We present a novel surface convolution operator acting on vector fields that is based on a simple observation: instead of combining neighboring features with respect to a single coordinate parameterization defined at a given point, we have…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Thomas W. Mitchel , Vladimir G. Kim , Michael Kazhdan

Following the traditional paradigm of convolutional neural networks (CNNs), modern CNNs manage to keep pace with more recent, for example transformer-based, models by not only increasing model depth and width but also the kernel size. This…

Computer Vision and Pattern Recognition · Computer Science 2023-06-23 Paul Gavrikov , Janis Keuper

Convolutional Neural Network (CNN) is the state-of-the-art for image classification task. Here we have briefly discussed different components of CNN. In this paper, We have explained different CNN architectures for image classification.…

Computer Vision and Pattern Recognition · Computer Science 2019-05-27 Farhana Sultana , A. Sufian , Paramartha Dutta

Recently, many Convolution Neural Networks (CNN) have been successfully employed in bitemporal SAR image change detection. However, most of the existing networks are too heavy and occupy a large volume of memory for storage and calculation.…

Image and Video Processing · Electrical Eng. & Systems 2020-06-23 Rongfang Wang , Fan Ding , Licheng Jiao , Jia-Wei Chen , Bo Liu , Wenping Ma , Mi Wang

Performant Convolutional Neural Network (CNN) architectures must be tailored to specific tasks in order to consider the length, resolution, and dimensionality of the input data. In this work, we tackle the need for problem-specific CNN…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 David M. Knigge , David W. Romero , Albert Gu , Efstratios Gavves , Erik J. Bekkers , Jakub M. Tomczak , Mark Hoogendoorn , Jan-Jakob Sonke

Hyperspectral Imaging is a crucial tool in remote sensing which captures far more spectral information than standard color images. However, the increase in spectral information comes at the cost of spatial resolution. Super-resolution is a…

Image and Video Processing · Electrical Eng. & Systems 2023-10-26 Alexander Ulrichsen , Paul Murray , Stephen Marshall , Moncef Gabbouj , Serkan Kiranyaz , Mehmet Yamac , Nour Aburaed

In this paper we review the mathematical foundations of convolutional neural nets (CNNs) with the goals of: i) highlighting connections with techniques from statistics, signal processing, linear algebra, differential equations, and…

Machine Learning · Computer Science 2021-07-08 Shengli Jiang , Victor M. Zavala

Convolutional networks are ubiquitous in deep learning. They are particularly useful for images, as they reduce the number of parameters, reduce training time, and increase accuracy. However, as a model of the brain they are seriously…

Machine Learning · Computer Science 2022-01-19 Roman Pogodin , Yash Mehta , Timothy P. Lillicrap , Peter E. Latham

Neural networks based on convolutional operations have achieved remarkable results in the field of deep learning, but there are two inherent flaws in standard convolutional operations. On the one hand, the convolution operation is confined…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Xin Zhang , Yingze Song , Tingting Song , Degang Yang , Yichen Ye , Jie Zhou , Liming Zhang

We first establish a kernel theorem that characterizes all linear shift-invariant (LSI) operators acting on discrete multicomponent signals. This result naturally leads to the identification of the Parseval convolution operators as the…

Signal Processing · Electrical Eng. & Systems 2024-08-20 Michael Unser , Stanislas Ducotterd

In recent years, image forensics has attracted more and more attention, and many forensic methods have been proposed for identifying image processing operations. Up to now, most existing methods are based on hand crafted features, and just…

Multimedia · Computer Science 2020-09-01 Bolin Chen , Haodong Li , Weiqi Luo

Convolutional layers are the core building blocks of Convolutional Neural Networks (CNNs). In this paper, we propose to augment a convolutional layer with an additional depthwise convolution, where each input channel is convolved with a…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Jinming Cao , Yangyan Li , Mingchao Sun , Ying Chen , Dani Lischinski , Daniel Cohen-Or , Baoquan Chen , Changhe Tu

Twisted Convolutional Networks (TCNs) are proposed as a novel deep learning architecture for classifying one-dimensional data with arbitrary feature order and minimal spatial relationships. Unlike conventional Convolutional Neural Networks…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Junbo Jacob Lian , Haoran Chen , Kaichen Ouyang , Yujun Zhang , Rui Zhong , Huiling Chen