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Graph kernels have been successfully applied to many graph classification problems. Typically, a kernel is first designed, and then an SVM classifier is trained based on the features defined implicitly by this kernel. This two-stage…

Convolutional neural networks (CNN) are widely used in computer vision, especially in image classification. However, the way in which information and invariance properties are encoded through in deep CNN architectures is still an open…

计算机视觉与模式识别 · 计算机科学 2016-10-26 Michael Blot , Matthieu Cord , Nicolas Thome

Graph neural networks (GNN) has been demonstrated to be effective in classifying graph structures. To further improve the graph representation learning ability, hierarchical GNN has been explored. It leverages the differentiable pooling to…

社会与信息网络 · 计算机科学 2019-12-19 Kaixiong Zhou , Qingquan Song , Xiao Huang , Daochen Zha , Na Zou , Xia Hu

Graph Convolutional Neural Networks (GCNN) are becoming a preferred model for data processing on irregular domains, yet their analysis and principles of operation are rarely examined due to the black box nature of NNs. To this end, we…

机器学习 · 计算机科学 2021-08-25 Ljubisa Stankovic , Danilo Mandic

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…

机器学习 · 计算机科学 2019-07-23 Aravind Sankar , Xinyang Zhang , Kevin Chen-Chuan Chang

In graph signal processing, one of the most important subjects is the study of filters, i.e., linear transformations that capture relations between graph signals. One of the most important families of filters is the space of shift invariant…

信号处理 · 电气工程与系统科学 2022-09-29 Feng Ji , See Hian Lee , Wee Peng Tay

Convolutional Neural Network (CNN) is one of the most important architectures in deep learning. The fundamental building block of a CNN is a trainable filter, represented as a discrete grid, used to perform convolution on discrete input…

机器学习 · 计算机科学 2023-05-26 Dario Coscia , Laura Meneghetti , Nicola Demo , Giovanni Stabile , Gianluigi Rozza

Multiple-input multiple-output (MIMO) is an enabling technology to meet the growing demand for faster and more reliable communications in wireless networks with a large number of terminals, but it can also be applied for position estimation…

信号处理 · 电气工程与系统科学 2021-08-06 Gregor Cerar , Aleš Švigelj , Mihael Mohorčič , Carolina Fortuna , Tomaž Javornik

In convolutional neural networks (CNNs), the filter grouping in convolution layers is known to be useful to reduce the network parameter size. In this paper, we propose a new logarithmic filter grouping which can capture the nonlinearity of…

计算机视觉与模式识别 · 计算机科学 2017-09-15 Tae Kwan Lee , Wissam J. Baddar , Seong Tae Kim , Yong Man Ro

Within the world of machine learning there exists a wide range of different methods with respective advantages and applications. This paper seeks to present and discuss one such method, namely Convolutional Neural Networks (CNNs). CNNs are…

计算机视觉与模式识别 · 计算机科学 2020-11-30 Lars Lien Ankile , Morgan Feet Heggland , Kjartan Krange

Most modern convolutional neural networks (CNNs) used for object recognition are built using the same principles: Alternating convolution and max-pooling layers followed by a small number of fully connected layers. We re-evaluate the state…

机器学习 · 计算机科学 2015-04-14 Jost Tobias Springenberg , Alexey Dosovitskiy , Thomas Brox , Martin Riedmiller

This paper introduces a generalization of Convolutional Neural Networks (CNNs) from low-dimensional grid data, such as images, to graph-structured data. We propose a novel spatial convolution utilizing a random walk to uncover the relations…

机器学习 · 统计学 2017-04-27 Yotam Hechtlinger , Purvasha Chakravarti , Jining Qin

Many neural networks for graphs are based on the graph convolution operator, proposed more than a decade ago. Since then, many alternative definitions have been proposed, that tend to add complexity (and non-linearity) to the model. In this…

机器学习 · 计算机科学 2021-06-11 Luca Pasa , Nicolò Navarin , Wolfgang Erb , Alessandro Sperduti

Recently, graph neural networks have been adopted in a wide variety of applications ranging from relational representations to modeling irregular data domains such as point clouds and social graphs. However, the space of graph neural…

机器学习 · 计算机科学 2018-12-14 Marcel Nassar

Deep learning, particularly convolutional neural networks (CNNs), have yielded rapid, significant improvements in computer vision and related domains. But conventional deep learning architectures perform poorly when data have an underlying…

信号处理 · 电气工程与系统科学 2020-12-02 Mark Cheung , John Shi , Oren Wright , Lavender Y. Jiang , Xujin Liu , José M. F. Moura

Convolutional neural networks (CNNs) have massively impacted visual recognition in 2D images, and are now ubiquitous in state-of-the-art approaches. CNNs do not easily extend, however, to data that are not represented by regular grids, such…

计算机视觉与模式识别 · 计算机科学 2018-03-29 Nitika Verma , Edmond Boyer , Jakob Verbeek

We propose a generalized convolutional neural network (CNN) architecture that first decomposes the input signal into subbands by an adaptive filter bank structure, and then uses convolutional layers to extract features from each subband…

图像与视频处理 · 电气工程与系统科学 2023-06-30 Pavel Sinha , Ioannis Psaromiligkos , Zeljko Zilic

Convolutional neural networks (CNNs), in a few decades, have outperformed the existing state of the art methods in classification context. However, in the way they were formalised, CNNs are bound to operate on euclidean spaces. Indeed,…

计算机视觉与模式识别 · 计算机科学 2023-10-03 Chloé Martineau , Romain Raveaux , Donatello Conte , Gilles Venturini

Graph convolutional neural networks (GCNNs) are popular deep learning architectures that, upon replacing regular convolutions with graph filters (GFs), generalize CNNs to irregular domains. However, classical GFs are prone to numerical…

信号处理 · 电气工程与系统科学 2022-10-18 Victor M. Tenorio , Samuel Rey , Fernando Gama , Santiago Segarra , Antonio G. Marques

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…

计算机视觉与模式识别 · 计算机科学 2023-06-23 Paul Gavrikov , Janis Keuper