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In graph signal processing, learning the weighted connections between nodes from a set of sample signals is a fundamental task when the underlying relationships are not known a priori. This task is typically addressed by finding a graph…

Machine Learning · Computer Science 2025-06-30 Benjamin T. Brown , Haoxiang Zhang , Daniel L. Lau , Gonzalo R. Arce

Inferring the graph structure from observed data is a key task in graph machine learning to capture the intrinsic relationship between data entities. While significant advancements have been made in learning the structure of homogeneous…

Machine Learning · Computer Science 2025-03-13 Keyue Jiang , Bohan Tang , Xiaowen Dong , Laura Toni

Graph signal processing (GSP) is a key tool for satisfying the growing demand for information processing over networks. However, the success of GSP in downstream learning and inference tasks is heavily dependent on the prior identification…

Signal Processing · Electrical Eng. & Systems 2021-03-29 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

Learning on high-order correlation has shown superiority in data representation learning, where hypergraph has been widely used in recent decades. The performance of hypergraph-based representation learning methods, such as hypergraph…

Machine Learning · Computer Science 2022-08-29 Zizhao Zhang , Yifan Feng , Shihui Ying , Yue Gao

Graph neural network (GNN) has gained increasing popularity in recent years owing to its capability and flexibility in modeling complex graph structure data. Among all graph learning methods, hypergraph learning is a technique for exploring…

Machine Learning · Computer Science 2024-12-31 Tiehua Zhang , Yuze Liu , Zhishu Shen , Xingjun Ma , Peng Qi , Zhijun Ding , Jiong Jin

We consider network topology identification subject to a signal smoothness prior on the nodal observations. A fast dual-based proximal gradient algorithm is developed to efficiently tackle a strongly convex, smoothness-regularized network…

Machine Learning · Computer Science 2021-10-20 Seyed Saman Saboksayr , Gonzalo Mateos

Graph is a fundamental mathematical structure in characterizing relations between different objects and has been widely used on various learning tasks. Most methods implicitly assume a given graph to be accurate and complete. However, real…

Machine Learning · Computer Science 2024-03-07 Xuanting Xie , Zhao Kang , Wenyu Chen

Hypergraph is a general way of representing high-order relations on a set of objects. It is a generalization of graph, in which only pairwise relations can be represented. It finds applications in various domains where relationships of more…

Machine Learning · Statistics 2021-05-19 Canh Hao Nguyen , Hiroshi Mamitsuka

This paper studies the problem of traffic flow forecasting, which aims to predict future traffic conditions on the basis of road networks and traffic conditions in the past. The problem is typically solved by modeling complex…

Machine Learning · Computer Science 2023-09-22 Yusheng Zhao , Xiao Luo , Wei Ju , Chong Chen , Xian-Sheng Hua , Ming Zhang

Graphs are the most ubiquitous data structures for representing relational datasets and performing inferences in them. They model, however, only pairwise relations between nodes and are not designed for encoding the higher-order relations.…

Machine Learning · Computer Science 2021-09-23 Devanshu Arya , Deepak K. Gupta , Stevan Rudinac , Marcel Worring

Developing methods to process irregularly structured data is crucial in applications like gene-regulatory, brain, power, and socioeconomic networks. Graphs have been the go-to algebraic tool for modeling the structure via nodes and edges…

Signal Processing · Electrical Eng. & Systems 2025-02-17 Elvin Isufi , Geert Leus , Baltasar Beferull-Lozano , Sergio Barbarossa , Paolo Di Lorenzo

Learning a graph topology to reveal the underlying relationship between data entities plays an important role in various machine learning and data analysis tasks. Under the assumption that structured data vary smoothly over a graph, the…

Machine Learning · Statistics 2023-08-23 Xingyue Pu , Tianyue Cao , Xiaoyun Zhang , Xiaowen Dong , Siheng Chen

Real-world heterogeneous graphs are inherently noisy and usually not in the optimal graph structures for downstream tasks, which often adversely affects the performance of GRL models in downstream tasks. Although Graph Structure Learning…

Machine Learning · Computer Science 2026-04-08 He Zhao , Zhiwei Zeng , Yongwei Wang , Chunyan Miao

Graph-based semi-supervised node classification has been shown to become a state-of-the-art approach in many applications with high research value and significance. Most existing methods are only based on the original intrinsic or…

Machine Learning · Computer Science 2023-06-08 Jianpeng Liao , Jun Yan , Qian Tao

To improve the robustness of graph neural networks (GNN), graph structure learning (GSL) has attracted great interest due to the pervasiveness of noise in graph data. Many approaches have been proposed for GSL to jointly learn a clean graph…

Machine Learning · Computer Science 2023-07-06 Shaogao Lv , Gang Wen , Shiyu Liu , Linsen Wei , Ming Li

Hypergraphs play a pivotal role in the modelling of data featuring higher-order relations involving more than two entities. Hypergraph neural networks emerge as a powerful tool for processing hypergraph-structured data, delivering…

Machine Learning · Computer Science 2024-06-04 Zexi Liu , Bohan Tang , Ziyuan Ye , Xiaowen Dong , Siheng Chen , Yanfeng Wang

In this paper, we study semi-supervised graph classification, which aims at accurately predicting the categories of graphs in scenarios with limited labeled graphs and abundant unlabeled graphs. Despite the promising capability of graph…

Machine Learning · Computer Science 2024-05-29 Wei Ju , Zhengyang Mao , Siyu Yi , Yifang Qin , Yiyang Gu , Zhiping Xiao , Yifan Wang , Xiao Luo , Ming Zhang

Graphs are widely used to describe real-world objects and their interactions. Graph Neural Networks (GNNs) as a de facto model for analyzing graphstructured data, are highly sensitive to the quality of the given graph structures. Therefore,…

Machine Learning · Computer Science 2022-02-16 Yanqiao Zhu , Weizhi Xu , Jinghao Zhang , Yuanqi Du , Jieyu Zhang , Qiang Liu , Carl Yang , Shu Wu

Learning the graph underlying a networked system from nodal signals is crucial to downstream tasks in graph signal processing and machine learning. The presence of hidden nodes whose signals are not observable might corrupt the estimated…

Machine Learning · Computer Science 2025-09-19 Hoang-Son Nguyen , Hoi-To Wai

Network-topology inference from (vertex) signal observations is a prominent problem across data-science and engineering disciplines. Most existing schemes assume that observations from all nodes are available, but in many practical…

Methodology · Statistics 2021-11-11 Andrei Buciulea , Samuel Rey , Antonio G. Marques
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