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Graph neural networks (GNNs) have led to major breakthroughs in a variety of domains such as drug discovery, social network analysis, and travel time estimation. However, they lack interpretability which hinders human trust and thereby…

Machine Learning · Computer Science 2023-12-05 Jonas Jürß , Lucie Charlotte Magister , Pietro Barbiero , Pietro Liò , Nikola Simidjievski

Hypergraph structure learning, which aims to learn the hypergraph structures from the observed signals to capture the intrinsic high-order relationships among the entities, becomes crucial when a hypergraph topology is not readily available…

Machine Learning · Computer Science 2025-03-12 Bohan Tang , Siheng Chen , Xiaowen Dong

Systematic relations between multiple objects that occur in various fields can be represented as networks. Real-world networks typically exhibit complex topologies whose structural properties are key factors in characterizing and further…

Physics and Society · Physics 2021-04-09 Yoshihisa Tanaka , Ryosuke Kojima , Shoichi Ishida , Fumiyoshi Yamashita , Yasushi Okuno

A wide variety of complex systems are characterized by interactions of different types involving varying numbers of units. Multiplex hypergraphs serve as a tool to describe such structures, capturing distinct types of higher-order…

Physics and Society · Physics 2024-09-10 Quintino Francesco Lotito , Alberto Montresor , Federico Battiston

Graphs are fundamental data structures which concisely capture the relational structure in many important real-world domains, such as knowledge graphs, physical and social interactions, language, and chemistry. Here we introduce a powerful…

Machine Learning · Computer Science 2018-03-12 Yujia Li , Oriol Vinyals , Chris Dyer , Razvan Pascanu , Peter Battaglia

Graphs are essential representations of many real-world data such as social networks. Recent years have witnessed the increasing efforts made to extend the neural network models to graph-structured data. These methods, which are usually…

Machine Learning · Computer Science 2018-11-07 Yao Ma , Ziyi Guo , Zhaochun Ren , Eric Zhao , Jiliang Tang , Dawei Yin

Hypergraphs offer an explicit formalism to describe multibody interactions in complex systems. To connect dynamics and function in systems with these higher-order interactions, network scientists have generalised random-walk models to…

Physics and Society · Physics 2022-06-02 Anton Eriksson , Daniel Edler , Alexis Rojas , Martin Rosvall

Complex network theory aims to model and analyze complex systems that consist of multiple and interdependent components. Among all studies on complex networks, topological structure analysis is of the most fundamental importance, as it…

Social and Information Networks · Computer Science 2010-09-15 Bo Yang , Jiming Liu

Graph plays an important role in representing complex relationships in real-world applications such as social networks, biological data and citation networks. In recent years, Large Language Models (LLMs) have achieved tremendous success in…

Machine Learning · Computer Science 2024-03-19 Zheyuan Liu , Xiaoxin He , Yijun Tian , Nitesh V. Chawla

The irreducible complexity of natural phenomena has led Graph Neural Networks to be employed as a standard model to perform representation learning tasks on graph-structured data. While their capacity to capture local and global patterns is…

Machine Learning · Computer Science 2024-02-13 Lorenzo Giusti

Numerous networked systems feature a structure of nontrivial communities, which often correspond to their functional modules. Such communities have been detected in real-world biological, social and technological systems, as well as in…

Physics and Society · Physics 2025-07-08 Charo I. del Genio

Most networks tend to show complex and multiple relationships between entities. Networks are usually modeled by graphs or hypergraphs; nonetheless a given entity can occur many times in a relationship: this brings the need to deal with…

Data Structures and Algorithms · Computer Science 2019-05-30 Xavier Ouvrard , Jean-Marie Le Goff , Stephane Marchand-Maillet

Hypergraphs allow one to encode higher-order relationships in data and are thus a very flexible modeling tool. Current learning methods are either based on approximations of the hypergraphs via graphs or on tensor methods which are only…

Machine Learning · Statistics 2013-12-19 Matthias Hein , Simon Setzer , Leonardo Jost , Syama Sundar Rangapuram

Network representation learning and node classification in graphs got significant attention due to the invent of different types graph neural networks. Graph convolution network (GCN) is a popular semi-supervised technique which aggregates…

Social and Information Networks · Computer Science 2020-02-11 Sambaran Bandyopadhyay , Kishalay Das , M. Narasimha Murty

Networks with higher-order interactions, prevalent in biological, social, and information systems, are naturally represented as hypergraphs, yet their structural complexity poses fundamental challenges for geometric characterization. While…

Machine Learning · Computer Science 2025-06-05 Shiyi Yang , Can Chen , Didong Li

Hierarchical optimization architectures are used in power systems to manage disturbances and phenomena that arise at multiple spatial and temporal scales. We present a graph modeling abstraction for representing such architectures and an…

Optimization and Control · Mathematics 2023-09-20 David L. Cole , Harsha Gangammanavar , Victor M. Zavala

Finding dense subgraphs of a large network is a fundamental problem in graph mining that has been studied extensively both for its theoretical richness and its many practical applications over the last five decades. However, most existing…

Social and Information Networks · Computer Science 2023-10-10 Ali Behrouz , Farnoosh Hashemi

Multiplex networks are collections of networks with identical nodes but distinct layers of edges. They are genuine representations for a large variety of real systems whose elements interact in multiple fashions or flavors. However,…

Physics and Society · Physics 2024-02-27 Daniel Kaiser , Siddharth Patwardhan , Minsuk Kim , Filippo Radicchi

Hypergraphs extend traditional networks by capturing multi-way or group interactions. Given the complexity of hypergraph data and the wide range of methodology available for pairwise network analysis, hypergraph data is often projected onto…

Social and Information Networks · Computer Science 2025-06-23 Timothy LaRock , Renaud Lambiotte

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne
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