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Inductive logic reasoning is a fundamental task in graph analysis, which aims to generalize patterns from data. This task has been extensively studied for traditional graph representations, such as knowledge graphs (KGs), using techniques…

Machine Learning · Computer Science 2024-05-07 Yuan Yang , Siheng Xiong , Ali Payani , James C Kerce , Faramarz Fekri

Many complex systems exhibit interactions that depend not only on pairwise connections, but also group structures and memory effects. To capture such effects, we develop a unified tensor framework for modeling higher-order Markov chains…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Shaoxuan Cui , Lingfei Wang , Hildeberto Jardon-Kojakhmetov , Karl Henrik Johansson , Ming Cao

Inductive representation learning on temporal heterogeneous graphs is crucial for scalable deep learning on heterogeneous information networks (HINs) which are time-varying, such as citation networks. However, most existing approaches are…

Machine Learning · Computer Science 2024-05-15 Chenglin Li , Yuanzhen Xie , Chenyun Yu , Lei Cheng , Bo Hu , Zang Li , Di Niu

Graph representation learning (also known as network embedding) has been extensively researched with varying levels of granularity, ranging from nodes to graphs. While most prior work in this area focuses on node-level representation,…

Machine Learning · Computer Science 2023-06-05 Lili Wang , Chenghan Huang , Weicheng Ma , Xinyuan Cao , Soroush Vosoughi

Random walks have been intensively studied on regular and complex networks, which are used to represent pairwise interactions. Nonetheless, recent works have demonstrated that many real-world processes are better captured by higher-order…

Physics and Society · Physics 2023-06-19 Pietro Traversa , Guilherme Ferraz de Arruda , Yamir Moreno

Hypergraphs are data structures capable of capturing supra-dyadic relations. We can use them to model binary relations, but also to model groups of entities, as well as the intersections between these groups or the contained subgroups. In…

Information Retrieval · Computer Science 2021-04-13 José Devezas , Sérgio Nunes

From social networks to protein complexes to disease genomes to visual data, hypergraphs are everywhere. However, the scope of research studying deep learning on hypergraphs is still quite sparse and nascent, as there has not yet existed an…

Machine Learning · Computer Science 2019-10-08 Josh Payne

In this work we study the topological properties of temporal hypergraphs. Hypergraphs provide a higher dimensional generalization of a graph that is capable of capturing multi-way connections. As such, they have become an integral part of…

Computational Geometry · Computer Science 2023-02-07 Audun Myers , Cliff Joslyn , Bill Kay , Emilie Purvine , Gregory Roek , Madelyn Shapiro

Hypergraph has been selected as a powerful candidate for characterizing higher-order networks and has received increasing attention in recent years. In this article, we study random walks with resetting on hypergraph by utilizing spectral…

Social and Information Networks · Computer Science 2025-05-08 Fei Ma , Xincheng Hu , Haobin Shi , Wei Pan , Ping Wang

Graphs (networks) are ubiquitous and allow us to model entities (nodes) and the dependencies (edges) between them. Learning a useful feature representation from graph data lies at the heart and success of many machine learning tasks such as…

Heterogeneous graphs are ubiquitous data structures that can inherently capture multi-type and multi-modal interactions between objects. In recent years, research on encoding heterogeneous graph into latent representations have enjoyed a…

Social and Information Networks · Computer Science 2023-07-06 Chen Ling , Carl Yang , Liang Zhao

The richness of many complex systems stems from the interactions among their components. The higher-order nature of these interactions, involving many units at once, and their temporal dynamics constitute crucial properties that shape the…

Physics and Society · Physics 2024-07-29 Marco Mancastroppa , Iacopo Iacopini , Giovanni Petri , Alain Barrat

An important part of many machine learning workflows on graphs is vertex representation learning, i.e., learning a low-dimensional vector representation for each vertex in the graph. Recently, several powerful techniques for unsupervised…

Machine Learning · Computer Science 2019-01-23 Hooman Peiro Sajjad , Andrew Docherty , Yuriy Tyshetskiy

Temporal graph learning aims to generate high-quality representations for graph-based tasks with dynamic information, which has recently garnered increasing attention. In contrast to static graphs, temporal graphs are typically organized as…

Machine Learning · Computer Science 2024-04-30 Meng Liu , Ke Liang , Yawei Zhao , Wenxuan Tu , Sihang Zhou , Xinbiao Gan , Xinwang Liu , Kunlun He

Temporal knowledge graphs (TKGs) inherently reflect the transient nature of real-world knowledge, as opposed to static knowledge graphs. Naturally, automatic TKG completion has drawn much research interests for a more realistic modeling of…

Machine Learning · Computer Science 2020-12-22 Jaehun Jung , Jinhong Jung , U Kang

Graph is an important data representation which occurs naturally in the real world applications \cite{goyal2018graph}. Therefore, analyzing graphs provides users with better insights in different areas such as anomaly detection…

Machine Learning · Computer Science 2024-05-06 Elika Bozorgi , Saber Soleimani , Sakher Khalil Alqaiidi , Hamid Reza Arabnia , Krzysztof Kochut

Random walks are fundamental tools for analyzing complex networked systems, including social networks, biological systems, and communication infrastructures. While classical random walks focus on pairwise interactions, many real-world…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Anqi Dong , Anzhi Sheng , Xin Mao , Can Chen

Node embedding aims to map nodes in the complex graph into low-dimensional representations. The real-world large-scale graphs and difficulties of labeling motivate wide studies of unsupervised node embedding problems. Nevertheless, previous…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-02 Qiying Pan , Yifei Zhu

Temporal Graph Neural Networks (TGNNs) have gained growing attention for modeling and predicting structures in temporal graphs. However, existing TGNNs primarily focus on pairwise interactions while overlooking higher-order structures that…

Machine Learning · Computer Science 2025-05-22 Jingzhe Liu , Zhigang Hua , Yan Xie , Bingheng Li , Harry Shomer , Yu Song , Kaveh Hassani , Jiliang Tang

Hypergraphs have been becoming a popular choice to model complex, non-pairwise, and higher-order interactions for recommender system. However, compared with traditional graph-based methods, the constructed hypergraphs are usually much…

Social and Information Networks · Computer Science 2021-08-19 Yicong Li , Hongxu Chen , Xiangguo Sun , Zhenchao Sun , Lin Li , Lizhen Cui , Philip S. Yu , Guandong Xu