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Defining a sound shift operator for signals existing on a certain graph structure, similar to the well-defined shift operator in classical signal processing, is a crucial problem in graph signal processing, since almost all operations, such…

Spectral Theory · Mathematics 2017-09-07 Adnan Gavili , Xiao-Ping Zhang

Graph Convolutional Networks (GCNs) have received increasing attention in the machine learning community for effectively leveraging both the content features of nodes and the linkage patterns across graphs in various applications. As…

Machine Learning · Computer Science 2021-01-01 Donghan Yu , Ruohong Zhang , Zhengbao Jiang , Yuexin Wu , Yiming Yang

Transformers have recently emerged as powerful neural networks for graph learning, showcasing state-of-the-art performance on several graph property prediction tasks. However, these results have been limited to small-scale graphs, where the…

Machine Learning · Computer Science 2023-12-19 Vijay Prakash Dwivedi , Yozen Liu , Anh Tuan Luu , Xavier Bresson , Neil Shah , Tong Zhao

Graph learning plays a pivotal role and has gained significant attention in various application scenarios, from social network analysis to recommendation systems, for its effectiveness in modeling complex data relations represented by graph…

Machine Learning · Computer Science 2024-03-08 Man Wu , Xin Zheng , Qin Zhang , Xiao Shen , Xiong Luo , Xingquan Zhu , Shirui Pan

This paper explores the application diffusion maps as graph shift operators in understanding the underlying geometry of graph signals. The study evaluates the improvements in graph learning when using diffusion map generated filters to the…

Machine Learning · Computer Science 2023-12-25 Todd Hildebrant

Most algorithms for decentralized learning employ a consensus or diffusion mechanism to drive agents to a common solution of a global optimization problem. Generally this takes the form of linear averaging, at a rate of contraction…

Optimization and Control · Mathematics 2024-06-07 Aaron Fainman , Stefan Vlaski

We consider the problem of sampling from data defined on the nodes of a weighted graph, where the edge weights capture the data correlation structure. As shown recently, using spectral graph theory one can define a cut-off frequency for the…

Information Theory · Computer Science 2014-11-13 Ilan Shomorony , A. Salman Avestimehr

Modelling long-range dependencies is critical for scene understanding tasks in computer vision. Although convolution neural networks (CNNs) have excelled in many vision tasks, they are still limited in capturing long-range structured…

Computer Vision and Pattern Recognition · Computer Science 2022-09-21 Li Zhang , Mohan Chen , Anurag Arnab , Xiangyang Xue , Philip H. S. Torr

Graph neural networks (GNNs) have been regarded as the basic model to facilitate deep learning (DL) to revolutionize resource allocation in wireless networks. GNN-based models are shown to be able to learn the structural information about…

Signal Processing · Electrical Eng. & Systems 2024-09-06 Yang Lu , Yuhang Li , Ruichen Zhang , Wei Chen , Bo Ai , Dusit Niyato

This paper addresses the problem of segmenting a stream of graph signals: we aim to detect changes in the mean of a multivariate signal defined over the nodes of a known graph. We propose an offline method that relies on the concept of…

Machine Learning · Computer Science 2024-03-01 Alejandro de la Concha , Nicolas Vayatis , Argyris Kalogeratos

Distributed stream processing systems are widely deployed to process real-time data generated by various devices, such as sensors and software systems. A key challenge in the system is overloading, which leads to an unstable system status…

Networking and Internet Architecture · Computer Science 2025-06-16 Ziren Xiao

Basic operations in graph signal processing consist in processing signals indexed on graphs either by filtering them, to extract specific part out of them, or by changing their domain of representation, using some transformation or…

Signal Processing · Electrical Eng. & Systems 2017-11-07 Nicolas Tremblay , Paulo Gonçalves , Pierre Borgnat

Prediction of taxi service demand and supply is essential for improving customer's experience and provider's profit. Recently, graph neural networks (GNNs) have been shown promising for this application. This approach models city regions as…

Machine Learning · Computer Science 2023-04-07 Mahmoud Nazzal , Abdallah Khreishah , Joyoung Lee , Shaahin Angizi , Ala Al-Fuqaha , Mohsen Guizani

The $k$-core decomposition in a graph is a fundamental problem for social network analysis. The problem of $k$-core decomposition is to calculate the core number for every node in a graph. Previous studies mainly focus on $k$-core…

Data Structures and Algorithms · Computer Science 2012-07-20 Rong-Hua Li , Jeffrey Xu Yu

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

Recent years have witnessed the emerging success of graph neural networks (GNNs) for modeling structured data. However, most GNNs are designed for homogeneous graphs, in which all nodes and edges belong to the same types, making them…

Machine Learning · Computer Science 2020-03-04 Ziniu Hu , Yuxiao Dong , Kuansan Wang , Yizhou Sun

Wireless networks are inherently graph-structured, which can be utilized in graph representation learning to solve complex wireless network optimization problems. In graph representation learning, feature vectors for each entity in the…

Information Theory · Computer Science 2024-10-28 Maryam Mohsenivatani , Samad Ali , Vismika Ranasinghe , Nandana Rajatheva , Matti Latva-Aho

Deep learning-based approaches have been developed to solve challenging problems in wireless communications, leading to promising results. Early attempts adopted neural network architectures inherited from applications such as computer…

Information Theory · Computer Science 2022-11-07 Yifei Shen , Jun Zhang , S. H. Song , Khaled B. Letaief

When facing graph signal processing tasks, the workhorse assumption is that the graph describing the support of the signals is known. However, in many relevant applications the available graph suffers from observation errors and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Samuel Rey , Victor M. Tenorio , Antonio G. Marques

The Transformer architecture has achieved remarkable success in a number of domains including natural language processing and computer vision. However, when it comes to graph-structured data, transformers have not achieved competitive…

Machine Learning · Computer Science 2022-10-11 Zaixi Zhang , Qi Liu , Qingyong Hu , Chee-Kong Lee
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