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Graph signal processing (GSP) leverages the inherent signal structure within graphs to extract high-dimensional data without relying on translation invariance. It has emerged as a crucial tool across multiple fields, including learning and…

General Mathematics · Mathematics 2025-02-21 Yu Zhang , Bing-Zhao Li

Forecasting time series on graphs is a fundamental problem in graph signal processing. When each entity of the network carries a vector of values for each time stamp instead of a scalar one, existing approaches resort to the use of product…

Signal Processing · Electrical Eng. & Systems 2022-10-28 Jelmer van der Hoeven , Alberto Natali , Geert Leus

Advances in machine learning technology have enabled real-time extraction of semantic information in signals which can revolutionize signal processing techniques and improve their performance significantly for the next generation of…

Signal Processing · Electrical Eng. & Systems 2021-09-27 Mert Kalfa , Mehmetcan Gok , Arda Atalik , Busra Tegin , Tolga M. Duman , Orhan Arikan

Multi-graph learning is crucial for extracting meaningful signals from collections of heterogeneous graphs. However, effectively integrating information across graphs with differing topologies, scales, and semantics, often in the absence of…

Machine Learning · Computer Science 2026-02-02 Zahra Moslemi , Ziyi Liang , Norbert Fortin , Babak Shahbaba

We initiate the study of graph algorithms in the streaming setting on massive distributed and parallel systems inspired by practical data processing systems. The objective is to design algorithms that can efficiently process evolving graphs…

Data Structures and Algorithms · Computer Science 2025-01-20 Artur Czumaj , Gopinath Mishra , Anish Mukherjee

Graph signal processing is a framework to handle graph structured data. The fundamental concept is graph shift operator, giving rise to the graph Fourier transform. While the graph Fourier transform is a centralized procedure, distributed…

Signal Processing · Electrical Eng. & Systems 2022-06-10 Feng Ji , Yiqi Lu , Wee Peng Tay , Edwin Chong

In this tutorial, we provide a didactic treatment of the emerging topic of signal processing on higher-order networks. Drawing analogies from discrete and graph signal processing, we introduce the building blocks for processing data on…

Social and Information Networks · Computer Science 2022-02-22 Michael T. Schaub , Yu Zhu , Jean-Baptiste Seby , T. Mitchell Roddenberry , Santiago Segarra

Hypergraph, an expressive structure with flexibility to model the higher-order correlations among entities, has recently attracted increasing attention from various research domains. Despite the success of Graph Neural Networks (GNNs) for…

Machine Learning · Computer Science 2021-05-04 Jing Huang , Jie Yang

Rule-based fine-grained IP geolocation methods are hard to generalize in computer networks which do not follow hypothetical rules. Recently, deep learning methods, like multi-layer perceptron (MLP), are tried to increase generalization…

Machine Learning · Computer Science 2023-04-18 Shichang Ding , Xiangyang Luo , Jinwei Wang , Xiaoming Fu

In recent years, Deep Learning methods have achieved state of the art performance in a vast range of machine learning tasks, including image classification and multilingual automatic text translation. These architectures are trained to…

Machine Learning · Computer Science 2020-12-15 Carlos Lassance

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

Machine Learning · Statistics 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

Graph Gaussian Processes (GGPs) provide a data-efficient solution on graph structured domains. Existing approaches have focused on static structures, whereas many real graph data represent a dynamic structure, limiting the applications of…

Machine Learning · Computer Science 2021-11-04 David Blanco-Mulero , Markus Heinonen , Ville Kyrki

This paper aims to establish theoretical foundations of graph product multilayer networks (GPMNs), a family of multilayer networks that can be obtained as a graph product of two or more factor networks. Cartesian, direct (tensor), and…

Physics and Society · Physics 2017-09-05 Hiroki Sayama

Classical Graph Signal Processing (GSP) provides a robust framework for analyzing signals on irregular domains, utilizing the graph Fourier transform as a cornerstone for spectral analysis and filtering. However, as data structures grow in…

Classical Analysis and ODEs · Mathematics 2026-03-02 Antonio Caputo

Graph-structured data consisting of objects (i.e., nodes) and relationships among objects (i.e., edges) are ubiquitous. Graph-level learning is a matter of studying a collection of graphs instead of a single graph. Traditional graph-level…

Machine Learning · Computer Science 2022-06-01 Ge Zhang , Jia Wu , Jian Yang , Shan Xue , Wenbin Hu , Chuan Zhou , Hao Peng , Quan Z. Sheng , Charu Aggarwal

The purpose of this paper is to outline a generalised model for representing hybrids of relational-categorical, symbolic, perceptual-sensory and perceptual-latent data, so as to embody, in the same architectural data layer, representations…

Machine Learning · Computer Science 2020-04-29 Bogdan Bocse , Ioan Radu Jinga

Many real-world phenomena can be modeled as a graph, making them extremely valuable due to their ubiquitous presence. GNNs excel at capturing those relationships and patterns within these graphs, enabling effective learning and prediction…

Machine Learning · Computer Science 2023-11-28 Abhinav Raghuvanshi , Kushal Sokke Malleshappa

The area of Data Analytics on graphs promises a paradigm shift as we approach information processing of classes of data, which are typically acquired on irregular but structured domains (social networks, various ad-hoc sensor networks).…

Information Theory · Computer Science 2019-08-13 Ljubisa Stankovic , Danilo Mandic , Milos Dakovic , Milos Brajovic , Bruno Scalzo , Tony Constantinides

Graph Neural Networks (GNNs) have emerged as a powerful framework for modeling complex interconnected systems, hence making them particularly well-suited to address the growing challenges of next-generation Internet of Things (NG-IoT)…

Information Theory · Computer Science 2025-09-18 Nguyen Xuan Tung , Le Tung Giang , Bui Duc Son , Seon Geun Jeong , Trinh Van Chien , Won Joo Hwang , Lajos Hanzo

Different graph generalizations have been recently used in an ad-hoc manner to represent multilayer networks, i.e. systems formed by distinct layers where each layer can be seen as a network. Similar constructions have also been used to…

Discrete Mathematics · Computer Science 2016-09-30 Klaus Wehmuth , Éric Fleury , Artur Ziviani