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Graphs are widely used to represent complex information and signal domains with irregular support. Typically, the underlying graph topology is unknown and must be estimated from the available data. Common approaches assume pairwise node…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Andrei Buciulea , Elvin Isufi , Geert Leus , Antonio G. Marques

Graphs can be used to represent and reason about systems and a variety of metrics have been devised to quantify their global characteristics. However, little is currently known about how to construct a graph or improve an existing one given…

Machine Learning · Computer Science 2021-10-28 Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

Graph-based representations play a key role in machine learning. The fundamental step in these representations is the association of a graph structure to a dataset. In this paper, we propose a method that aims at finding a block sparse…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Stefania Sardellitti , Sergio Barbarossa , Paolo Di Lorenzo

Graph learning has rapidly evolved into a critical subfield of machine learning and artificial intelligence (AI). Its development began with early graph-theoretic methods, gaining significant momentum with the advent of graph neural…

Machine Learning · Computer Science 2025-11-10 Feng Xia , Ciyuan Peng , Jing Ren , Falih Gozi Febrinanto , Renqiang Luo , Vidya Saikrishna , Shuo Yu , Xiangjie Kong

Signal processing and machine learning algorithms for data supported over graphs, require the knowledge of the graph topology. Unless this information is given by the physics of the problem (e.g., water supply networks, power grids), the…

Signal Processing · Electrical Eng. & Systems 2021-02-11 Alberto Natali , Mario Coutino , Elvin Isufi , Geert Leus

Graph convolutional networks (GCNs) have recently achieved great empirical success in learning graph-structured data. To address its scalability issue due to the recursive embedding of neighboring features, graph topology sampling has been…

Machine Learning · Computer Science 2023-12-12 Hongkang Li , Meng Wang , Sijia Liu , Pin-Yu Chen , Jinjun Xiong

Network systems have become a ubiquitous modeling tool in many areas of science where nodes in a graph represent distributed processes and edges between nodes represent a form of dynamic coupling. When a network topology is already known…

Adaptation and Self-Organizing Systems · Physics 2019-05-30 Donatello Materassi , Murti V. Salapaka

Finding important edges in a graph is a crucial problem for various research fields, such as network epidemics, signal processing, machine learning, and sensor networks. In this paper, we tackle the problem based on sampling theory on…

Signal Processing · Electrical Eng. & Systems 2024-07-16 Kenta Yanagiya , Koki Yamada , Yasuo Katsuhara , Tomoya Takatani , Yuichi Tanaka

Graph Signal Processing (GSP) is a promising framework to analyze multi-dimensional neuroimaging datasets, while taking into account both the spatial and functional dependencies between brain signals. In the present work, we apply…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Mathilde Ménoret , Nicolas Farrugia , Bastien Pasdeloup , Vincent Gripon

Using graphs to model irregular information domains is an effective approach to deal with some of the intricacies of contemporary (network) data. A key aspect is how the data, represented as graph signals, depend on the topology of the…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Fernando J. Iglesias Garcia , Santiago Segarra , Antonio G. Marques

Graph Neural Networks (GNN) have emerged as a popular and standard approach for learning from graph-structured data. The literature on GNN highlights the potential of this evolving research area and its widespread adoption in real-life…

Machine Learning · Computer Science 2024-03-25 Sukhdeep Singh , Anuj Sharma , Vinod Kumar Chauhan

Graph signals are functions of the underlying graph. When the edge-weight between a pair of nodes is high, the corresponding signals generally have a higher correlation. As a result, the signals can be represented in terms of a graph-based…

Signal Processing · Electrical Eng. & Systems 2024-09-09 Rishabh Ravi , Kaushani Majumder , Kalp Vyas , Satish Mulleti

Graphs represent interconnected structures prevalent in a myriad of real-world scenarios. Effective graph analytics, such as graph learning methods, enables users to gain profound insights from graph data, underpinning various tasks…

Machine Learning · Computer Science 2023-08-30 Zemin Liu , Yuan Li , Nan Chen , Qian Wang , Bryan Hooi , Bingsheng He

Graph Neural Networks (GNNs) have emerged as a prominent framework for graph mining, leading to significant advances across various domains. Stemmed from the node-wise representations of GNNs, existing explanation studies have embraced the…

Machine Learning · Computer Science 2024-07-03 Yuwen Wang , Shunyu Liu , Tongya Zheng , Kaixuan Chen , Mingli Song

To take full advantage of fast-growing unlabeled networked data, this paper introduces a novel self-supervised strategy for graph representation learning by exploiting natural supervision provided by the data itself. Inspired by human…

Machine Learning · Computer Science 2025-11-20 Zhen Peng , Yixiang Dong , Minnan Luo , Xiao-Ming Wu , Qinghua Zheng

Graph representation learning is a fast-growing field where one of the main objectives is to generate meaningful representations of graphs in lower-dimensional spaces. The learned embeddings have been successfully applied to perform various…

Machine Learning · Computer Science 2021-12-21 Md. Khaledur Rahman , Ariful Azad

Graph-structured data are the commonly used and have wide application scenarios in the real world. For these diverse applications, the vast variety of learning tasks, graph domains, and complex graph learning procedures present challenges…

Machine Learning · Computer Science 2024-02-26 Lanning Wei , Jun Gao , Huan Zhao , Quanming Yao

Real data collected from different applications that have additional topological structures and connection information are amenable to be represented as a weighted graph. Considering the node labeling problem, Graph Neural Networks (GNNs)…

Social and Information Networks · Computer Science 2020-02-06 Xiaoxiao Li , Joao Saude

Lots of learning tasks require dealing with graph data which contains rich relation information among elements. Modeling physics systems, learning molecular fingerprints, predicting protein interface, and classifying diseases demand a model…

Machine Learning · Computer Science 2021-10-07 Jie Zhou , Ganqu Cui , Shengding Hu , Zhengyan Zhang , Cheng Yang , Zhiyuan Liu , Lifeng Wang , Changcheng Li , Maosong Sun

Learning with graphs has attracted significant attention recently. Existing representation learning methods on graphs have achieved state-of-the-art performance on various graph-related tasks such as node classification, link prediction,…

Machine Learning · Computer Science 2021-07-06 Binghui Wang , Jiayi Guo , Ang Li , Yiran Chen , Hai Li