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In this paper, we present a hypergraph neural networks (HGNN) framework for data representation learning, which can encode high-order data correlation in a hypergraph structure. Confronting the challenges of learning representation for…

Machine Learning · Computer Science 2019-02-26 Yifan Feng , Haoxuan You , Zizhao Zhang , Rongrong Ji , Yue Gao

Road network is a critical infrastructure powering many applications including transportation, mobility and logistics in real life. To leverage the input of a road network across these different applications, it is necessary to learn the…

Machine Learning · Computer Science 2023-04-18 Liang Zhang , Cheng Long

Signal processing over graphs has recently attracted significant attentions for dealing with structured data. Normal graphs, however, only model pairwise relationships between nodes and are not effective in representing and capturing some…

Signal Processing · Electrical Eng. & Systems 2020-06-05 Songyang Zhang , Zhi Ding , Shuguang Cui

Many modern datasets are large and carry complex structural relationships. Graph-based methods have traditionally been used to represent networked data, modeling individual elements as nodes and pairwise interactions as edges. Furthermore,…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Flavia Petruso , Maria Giulia Preti , Dimitri Van De Ville

Heterogeneous graphs are pervasive in practical scenarios, where each graph consists of multiple types of nodes and edges. Representation learning on heterogeneous graphs aims to obtain low-dimensional node representations that could…

Machine Learning · Computer Science 2021-01-01 Le Yu , Leilei Sun , Bowen Du , Chuanren Liu , Weifeng Lv , Hui Xiong

We consider the problem of inferring graph topology from smooth graph signals in a novel but practical scenario where data are located in distributed clients and prohibited from leaving local clients due to factors such as privacy concerns.…

Machine Learning · Computer Science 2025-02-18 Xiang Zhang , Qiao Wang

Bi-type multi-relational heterogeneous graph (BMHG) is one of the most common graphs in practice, for example, academic networks, e-commerce user behavior graph and enterprise knowledge graph. It is a critical and challenge problem on how…

Machine Learning · Computer Science 2022-02-01 Yu Zhao , Shaopeng Wei , Huaming Du , Xingyan Chen , Qing Li , Fuzhen Zhuang , Ji Liu , Gang Kou

Hypergraphs provide a natural framework for modeling higher-order interactions, yet their theoretical underpinnings in semi-supervised learning remain limited. We provide an asymptotic consistency analysis of variational learning on random…

Machine Learning · Computer Science 2025-11-25 Adrien Weihs , Andrea L. Bertozzi , Matthew Thorpe

The importance of higher-order relations is widely recognized in a large number of real-world systems. However, annotating them is a tedious and sometimes impossible task. Consequently, current approaches for data modelling either ignore…

Machine Learning · Computer Science 2025-06-06 Iulia Duta , Pietro Liò

Graph representation learning in Euclidean space, despite its widespread adoption and proven utility in many domains, often struggles to effectively capture the inherent hierarchical and complex relational structures prevalent in real-world…

Machine Learning · Computer Science 2025-08-26 Menglin Yang , Min Zhou , Tong Zhang , Jiahong Liu , Zhihao Li , Lujia Pan , Hui Xiong , Irwin King

Connection graphs (CGs) extend traditional graph models by coupling network topology with orthogonal transformations, enabling the representation of global geometric consistency. They play a key role in applications such as synchronization,…

Machine Learning · Computer Science 2025-10-14 Leonardo Di Nino , Gabriele D'Acunto , Sergio Barbarossa , Paolo Di Lorenzo

High-dimensional data analysis typically focuses on low-dimensional structure, often to aid interpretation and computational efficiency. Graphical models provide a powerful methodology for learning the conditional independence structure in…

Methodology · Statistics 2024-09-13 Maria De Iorio , Willem van den Boom , Alexandros Beskos , Ajay Jasra , Andrea Cremaschi

Brain graph super-resolution (SR) is an under-explored yet highly relevant task in network neuroscience. It circumvents the need for costly and time-consuming medical imaging data collection, preparation, and processing. Current SR methods…

Machine Learning · Computer Science 2024-11-06 Pragya Singh , Islem Rekik

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

Many real-world graphs (networks) are heterogeneous with different types of nodes and edges. Heterogeneous graph embedding, aiming at learning the low-dimensional node representations of a heterogeneous graph, is vital for various…

Social and Information Networks · Computer Science 2021-12-15 Wentao Xu , Yingce Xia , Weiqing Liu , Jiang Bian , Jian Yin , Tie-Yan Liu

The quality of graph-structured data is fundamental to the success of modern graph analysis techniques such as Graph Neural Networks (GNNs). However, real-world graph data is often suboptimal, suffering from issues such as noise and…

Machine Learning · Computer Science 2026-05-19 Shen Han , Zhiyao Zhou , Jiawei Chen , Sheng Zhou , Canghong Jin , Hai Lin , Da Zhong Li , Bingde Hu , Can Wang

Temporal Graph Learning, which aims to model the time-evolving nature of graphs, has gained increasing attention and achieved remarkable performance recently. However, in reality, graph structures are often incomplete and noisy, which…

Machine Learning · Computer Science 2023-08-16 Haozhen Zhang , Xueting Han , Xi Xiao , Jing Bai

Graph neural networks (GNNs) have emerged as a powerful tool for graph classification and representation learning. However, GNNs tend to suffer from over-smoothing problems and are vulnerable to graph perturbations. To address these…

Machine Learning · Computer Science 2021-11-01 Yuzhou Chen , Baris Coskunuzer , Yulia R. Gel

Graph representation learning aim at integrating node contents with graph structure to learn nodes/graph representations. Nevertheless, it is found that many existing graph learning methods do not work well on data with high heterophily…

Machine Learning · Computer Science 2023-10-13 Jincheng Huang , Ping Li , Rui Huang , Chen Na , Acong Zhang

The abundance of large and heterogeneous systems is rendering contemporary data more pervasive, intricate, and with a non-regular structure. With classical techniques facing troubles to deal with the irregular (non-Euclidean) domain where…

Signal Processing · Electrical Eng. & Systems 2023-12-25 Samuel Rey