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Real-world graph data environments intrinsically exist noise (e.g., link and structure errors) that inevitably disturb the effectiveness of graph representation and downstream learning tasks. For homogeneous graphs, the latest works use…

Machine Learning · Computer Science 2024-12-25 Xiong Zhang , Cheng Xie , Haoran Duan , Beibei Yu

In this paper, we introduce a method called graph fusion embedding, designed for multi-graph embedding with shared vertex sets. Under the framework of supervised learning, our method exhibits a remarkable and highly desirable synergistic…

Social and Information Networks · Computer Science 2024-06-27 Cencheng Shen , Carey E. Priebe , Jonathan Larson , Ha Trinh

We consider the problem of optimizing the interconnection graphs of complex networks to promote synchronization. When traditional optimization methods are inapplicable, due to uncertain or unknown node dynamics, we propose a data-driven…

Systems and Control · Electrical Eng. & Systems 2023-09-29 Marco Coraggio , Mario di Bernardo

Graph matching is one of the most significant graph analytic tasks, which aims to find the node correspondence across different graphs. Most existing graph matching approaches mainly rely on topological information, whose performances are…

Artificial Intelligence · Computer Science 2024-10-15 Haoran Cheng , Dixin Luo , Hongteng Xu

Graph connectivity is a fundamental combinatorial optimization problem that arises in many practical applications, where usually a spanning subgraph of a network is used for its operation. However, in the real world, links may fail…

Data Structures and Algorithms · Computer Science 2022-09-13 Dimitris Fotakis , Evangelia Gergatsouli , Charilaos Pipis , Miltiadis Stouras , Christos Tzamos

Graphs have been extensively used to represent data from various domains. In the era of Big Data, information is being generated at a fast pace, and analyzing the same is a challenge. Various methods have been proposed to speed up the…

Information Theory · Computer Science 2018-06-26 Rushabh Jitendrakumar Shah

This study focuses on the problem of user satisfaction classification and proposes a framework based on graph neural networks to address the limitations of traditional methods in handling complex interaction relationships and…

Human-Computer Interaction · Computer Science 2025-11-07 Rui Liu , Runsheng Zhang , Shixiao Wang

The goal of graph summarization is to represent large graphs in a structured and compact way. A graph summary based on equivalence classes preserves pre-defined features of a graph's vertex within a $k$-hop neighborhood such as the vertex…

Machine Learning · Computer Science 2022-12-09 Maximilian Blasi , Manuel Freudenreich , Johannes Horvath , David Richerby , Ansgar Scherp

Graph-based methods have proven to be effective in capturing relationships among points for 3D point cloud analysis. However, these methods often suffer from suboptimal graph structures, particularly due to sparse connections at boundary…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Shangbo Yuan , Jie Xu , Ping Hu , Xiaofeng Zhu , Na Zhao

The graph-based model can help to detect suspicious fraud online. Owing to the development of Graph Neural Networks~(GNNs), prior research work has proposed many GNN-based fraud detection frameworks based on either homogeneous graphs or…

Social and Information Networks · Computer Science 2020-07-03 Zhiwei Liu , Yingtong Dou , Philip S. Yu , Yutong Deng , Hao Peng

Graphs are a powerful data structure for representing relational data and are widely used to describe complex real-world systems. Probabilistic Graphical Models (PGMs) and Graph Neural Networks (GNNs) can both leverage graph-structured…

Machine Learning · Statistics 2025-08-26 Michela Lapenna , Caterina De Bacco

Learning representations of nodes has been a crucial area of the graph machine learning research area. A well-defined node embedding model should reflect both node features and the graph structure in the final embedding. In the case of…

Machine Learning · Computer Science 2023-04-20 Kamil Tagowski , Piotr Bielak , Jakub Binkowski , Tomasz Kajdanowicz

Many real-world and artificial systems and processes can be represented as graphs. Some examples of such systems include social networks, financial transactions, supply chains, and molecular structures. In many of these cases, one needs to…

Machine Learning · Computer Science 2025-03-21 Ashkan Dehghan , Paweł Prałat , François Théberge

Graphs and networks are used to model interactions in a variety of contexts. There is a growing need to quickly assess the characteristics of a graph in order to understand its underlying structure. Some of the most useful metrics are…

Social and Information Networks · Computer Science 2014-12-02 Tamara G. Kolda , Ali Pinar , Todd Plantenga , C. Seshadhri , Christine Task

Hypergraphs, increasingly utilised for modelling complex and diverse relationships in modern networks, gain much attention representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery is one of the…

Social and Information Networks · Computer Science 2025-12-30 Song Kim , Dahee Kim , Taejoon Han , Junghoon Kim , Hyun Ji Jeong , Jungeun Kim

For supervised learning with tabular data, decision tree ensembles produced via boosting techniques generally dominate real-world applications involving iid training/test sets. However for graph data where the iid assumption is violated due…

Machine Learning · Computer Science 2022-10-06 Jiuhai Chen , Jonas Mueller , Vassilis N. Ioannidis , Soji Adeshina , Yangkun Wang , Tom Goldstein , David Wipf

Scalability of graph neural networks remains one of the major challenges in graph machine learning. Since the representation of a node is computed by recursively aggregating and transforming representation vectors of its neighboring nodes…

Machine Learning · Computer Science 2021-06-10 Zengfeng Huang , Shengzhong Zhang , Chong Xi , Tang Liu , Min Zhou

Graph Neural Networks (GNNs) have garnered substantial attention due to their remarkable capability in learning graph representations. However, real-world graphs often exhibit substantial noise and incompleteness, which severely degrades…

Machine Learning · Computer Science 2025-06-30 Tao Liu , Longlong Lin , Yunfeng Yu , Xi Ou , Youan Zhang , Zhiqiu Ye , Tao Jia

Finding optimal matchings in dense graphs is of general interest and of particular importance in social, transportation and biological networks. While developing optimal solutions for various matching problems is important, the running…

Data Structures and Algorithms · Computer Science 2020-11-16 Nitish K. Panigrahy , Prithwish Basu , Don Towsley

We present a new algorithmic paradigm for the decentralized solution of graph-structured optimization problems that arise in the estimation and control of network systems. A key and novel design concept of the proposed approach is that it…

Optimization and Control · Mathematics 2020-04-01 Sungho Shin , Victor M. Zavala , Mihai Anitescu