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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

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 Signal Processing (GSP) is an emerging research field that extends the concepts of digital signal processing to graphs. GSP has numerous applications in different areas such as sensor networks, machine learning, and image processing.…

Signal Processing · Electrical Eng. & Systems 2022-07-15 Jhony H. Giraldo , Arif Mahmood , Belmar Garcia-Garcia , Dorina Thanou , Thierry Bouwmans

Graph representation learning methods are highly effective in handling complex non-Euclidean data by capturing intricate relationships and features within graph structures. However, traditional methods face challenges when dealing with…

Machine Learning · Computer Science 2025-02-25 Hang Gao , Chenhao Zhang , Fengge Wu , Junsuo Zhao , Changwen Zheng , Huaping Liu

The growing success of graph signal processing (GSP) approaches relies heavily on prior identification of a graph over which network data admit certain regularity. However, adaptation to increasingly dynamic environments as well as demands…

Machine Learning · Computer Science 2021-03-08 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

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

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

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

We propose a scalable method for semi-supervised (transductive) learning from massive network-structured datasets. Our approach to semi-supervised learning is based on representing the underlying hypothesis as a graph signal with small…

Machine Learning · Computer Science 2016-11-03 Alexander Jung , Alfred O. Hero , Alexandru Mara , Sabeur Aridhi

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

Graphs with heterophily, where adjacent nodes carry different labels, are prevalent in real-world applications, from social networks to molecular interactions. However, existing spectral Graph Neural Network (GNN) approaches tailored for…

Machine Learning · Computer Science 2026-05-13 Md Sazzad Hossen , Avimanyu Sahoo

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

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

We focus on developing a novel scalable graph-based semi-supervised learning (SSL) method for a small number of labeled data and a large amount of unlabeled data. Due to the lack of labeled data and the availability of large-scale unlabeled…

Machine Learning · Computer Science 2019-12-06 Zitong Wang , Li Wang , Raymond Chan , Tieyong Zeng

In this paper, we are interested in learning the underlying graph structure behind training data. Solving this basic problem is essential to carry out any graph signal processing or machine learning task. To realize this, we assume that the…

Machine Learning · Computer Science 2018-05-08 Sundeep Prabhakar Chepuri , Sijia Liu , Geert Leus , Alfred O. Hero

Many real-world data can be represented as heterogeneous graphs with different types of nodes and connections. Heterogeneous graph neural network model aims to embed nodes or subgraphs into low-dimensional vector space for various…

Artificial Intelligence · Computer Science 2024-12-24 Xinjun Cai , Jiaxing Shang , Fei Hao , Dajiang Liu , Linjiang Zheng

Self-supervised heterogeneous graph learning (SHGL) has shown promising potential in diverse scenarios. However, while existing SHGL methods share a similar essential with clustering approaches, they encounter two significant limitations:…

Artificial Intelligence · Computer Science 2024-12-03 Yujie Mo , Zhihe Lu , Runpeng Yu , Xiaofeng Zhu , Xinchao Wang

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

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
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