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Graph embedding is a transformation of nodes of a graph into a set of vectors. A~good embedding should capture the graph topology, node-to-node relationship, and other relevant information about the graph, its subgraphs, and nodes. If these…

Social and Information Networks · Computer Science 2022-06-22 Arash Dehghan-Kooshkghazi , Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge

Recently, network embedding that encodes structural information of graphs into a vector space has become popular for network analysis. Although recent methods show promising performance for various applications, the huge sizes of graphs may…

Social and Information Networks · Computer Science 2019-07-18 Esra Akbas , Mehmet Aktas

Unsupervised graph alignment aims to find the node correspondence across different graphs without any anchor node pairs. Despite the recent efforts utilizing deep learning-based techniques, such as the embedding and optimal transport…

Machine Learning · Computer Science 2026-03-10 Songyang Chen , Youfang Lin , Yu Liu , Shuai Zheng , Lei Zou

Attributed network embedding aims to learn low-dimensional vector representations for nodes in a network, where each node contains rich attributes/features describing node content. Because network topology structure and node attributes…

Social and Information Networks · Computer Science 2018-10-17 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

Graph neural networks (GNNs) have been widely investigated in the field of semi-supervised graph machine learning. Most methods fail to exploit adequate graph information when labeled data is limited, leading to the problem of…

Machine Learning · Computer Science 2023-03-15 Linxuan Song , Wenxuan Tu , Sihang Zhou , Xinwang Liu , En Zhu

A very popular class of models for networks posits that each node is represented by a point in a continuous latent space, and that the probability of an edge between nodes is a decreasing function of the distance between them in this latent…

Statistics Theory · Mathematics 2025-01-07 Cosma Rohilla Shalizi , Dena Marie Asta

Node embedding is the task of extracting concise and informative representations of certain entities that are connected in a network. Various real-world networks include information about both node connectivity and certain node attributes,…

Social and Information Networks · Computer Science 2022-02-24 Charilaos I. Kanatsoulis , Nicholas D. Sidiropoulos

We introduce a new distributed algorithm for aligning graphs or finding substructures within a given graph. It is based on the cavity method and is used to study the maximum-clique and the graph-alignment problems in random graphs. The…

Quantitative Methods · Quantitative Biology 2010-04-02 S. Bradde , A. Braunstein , H. Mahmoudi , F. Tria , M. Weigt , R. Zecchina

Network alignment, which aims to find node correspondence across different networks, is the cornerstone of various downstream multi-network and Web mining tasks. Most of the embedding-based methods indirectly model cross-network node…

Artificial Intelligence · Computer Science 2025-02-27 Qi Yu , Zhichen Zeng , Yuchen Yan , Lei Ying , R. Srikant , Hanghang Tong

A novel Gromov-Wasserstein learning framework is proposed to jointly match (align) graphs and learn embedding vectors for the associated graph nodes. Using Gromov-Wasserstein discrepancy, we measure the dissimilarity between two graphs and…

Machine Learning · Computer Science 2019-05-08 Hongteng Xu , Dixin Luo , Hongyuan Zha , Lawrence Carin

Entity alignment aims to use pre-aligned seed pairs to find other equivalent entities from different knowledge graphs (KGs) and is widely used in graph fusion-related fields. However, as the scale of KGs increases, manually annotating…

Computation and Language · Computer Science 2025-03-28 Tao Meng , Shuo Shan , Hongen Shao , Yuntao Shou , Wei Ai , Keqin Li

Graph alignment, the problem of identifying corresponding nodes across multiple graphs, is fundamental to numerous applications. Most existing unsupervised methods embed node features into latent representations to enable cross-graph…

Machine Learning · Computer Science 2025-09-30 Maysam Behmanesh , Erkan Turan , Maks Ovsjanikov

Unsupervised graph representation learning aims to learn low-dimensional node embeddings without supervision while preserving graph topological structures and node attributive features. Previous graph neural networks (GNN) require a large…

Machine Learning · Computer Science 2020-09-04 Yanqiao Zhu , Yichen Xu , Feng Yu , Shu Wu , Liang Wang

Graph embedding, representing local and global neighborhood information by numerical vectors, is a crucial part of the mathematical modeling of a wide range of real-world systems. Among the embedding algorithms, random walk-based algorithms…

Social and Information Networks · Computer Science 2022-07-06 Sarmad N. Mohammed , Semra Gündüç

Node similarity scores are a foundation for machine learning in graphs for clustering, node classification, anomaly detection, and link prediction with applications in biological systems, information networks, and recommender systems.…

Social and Information Networks · Computer Science 2023-01-30 Christopher Blöcker , Jelena Smiljanić , Ingo Scholtes , Martin Rosvall

Link and sign prediction in complex networks bring great help to decision-making and recommender systems, such as in predicting potential relationships or relative status levels. Many previous studies focused on designing the special…

Physics and Society · Physics 2021-08-04 Chuang Liu , Shimin Yu , Ying Huang , Zi-Ke Zhang

Social network alignment, aligning different social networks on their common users, is receiving dramatic attention from both academic and industry. All existing studies consider the social network to be static and neglect its inherent…

Social and Information Networks · Computer Science 2019-11-04 Li Sun , Zhongbao Zhang , Pengxin Ji , Jian Wen , Sen Su , Philip S. Yu

Lying at the interface between Network Science and Machine Learning, node embedding algorithms take a graph as input and encode its structure onto output vectors that represent nodes in an abstract geometric space, enabling various…

Physics and Society · Physics 2025-10-03 Riccardo Milocco , Fabian Jansen , Diego Garlaschelli

Network embedding has recently emerged as a promising technique to embed nodes of a network into low-dimensional vectors. While fairly successful, most existing works focus on the embedding techniques for static networks. But in practice,…

Social and Information Networks · Computer Science 2020-10-28 Zenan Xu , Zijing Ou , Qinliang Su , Jianxing Yu , Xiaojun Quan , Zhenkun Lin

The network alignment (or graph matching) problem refers to recovering the node-to-node correspondence between two correlated networks. In this paper, we propose a network alignment algorithm which works without using a seed set of…

Data Structures and Algorithms · Computer Science 2020-09-29 Mahdi Bozorg , Saber Salehkaleybar , Matin Hashemi