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Entity Resolution (ER) is a constitutional part for integrating different knowledge graphs in order to identify entities referring to the same real-world object. A promising approach is the use of graph embeddings for ER in order to…

Machine Learning · Computer Science 2021-01-18 Daniel Obraczka , Jonathan Schuchart , Erhard Rahm

This paper reviews, classifies and compares recent models for social networks that have mainly been published within the physics-oriented complex networks literature. The models fall into two categories: those in which the addition of new…

Physics and Society · Physics 2008-12-24 Riitta Toivonen , Lauri Kovanen , Mikko Kivelä , Jukka-Pekka Onnela , Jari Saramäki , Kimmo Kaski

Analogous to biological sequence comparison, comparing cellular networks is an important problem that could provide insight into biological understanding and therapeutics. For technical reasons, comparing large networks is computationally…

Molecular Networks · Quantitative Biology 2009-01-30 Natasa Przulj

Graphs are widely used to model relational data. As graphs are getting larger and larger in real-world scenarios, there is a trend to store and compute subgraphs in multiple local systems. For example, recently proposed \emph{subgraph…

Machine Learning · Computer Science 2024-01-30 Zaixi Zhang , Qingyong Hu , Yang Yu , Weibo Gao , Qi Liu

We consider the task of learning latent community structure from multiple correlated networks. First, we study the problem of learning the latent vertex correspondence between two edge-correlated stochastic block models, focusing on the…

Statistics Theory · Mathematics 2021-07-15 Miklos Z. Racz , Anirudh Sridhar

A large body of work has been devoted to defining and identifying clusters or communities in social and information networks. We explore from a novel perspective several questions related to identifying meaningful communities in large…

Data Structures and Algorithms · Computer Science 2008-10-13 Jure Leskovec , Kevin J. Lang , Anirban Dasgupta , Michael W. Mahoney

Graph neural networks (GNNs) have been demonstrated as a powerful tool for analyzing non-Euclidean graph data. However, the lack of efficient distributed graph learning systems severely hinders applications of GNNs, especially when graphs…

Machine Learning · Computer Science 2023-01-18 Yongchao Liu , Houyi Li , Guowei Zhang , Xintan Zeng , Yongyong Li , Bin Huang , Peng Zhang , Zhao Li , Xiaowei Zhu , Changhua He , Wenguang Chen

Graphs have become increasingly popular in modeling structures and interactions in a wide variety of problems during the last decade. Graph-based clustering and semi-supervised classification techniques have shown impressive performance.…

Machine Learning · Computer Science 2020-09-01 Zhao Kang , Chong Peng , Qiang Cheng , Xinwang Liu , Xi Peng , Zenglin Xu , Ling Tian

The Artificial Benchmark for Community Detection (ABCD) graph is a random graph model with community structure and power-law distribution for both degrees and community sizes. The model generates graphs similar to the well-known LFR model…

Social and Information Networks · Computer Science 2023-12-04 Jordan Barrett , Bogumil Kaminski , Pawel Pralat , Francois Theberge

The random graph of Erdos and Renyi is one of the oldest and best studied models of a network, and possesses the considerable advantage of being exactly solvable for many of its average properties. However, as a model of real-world networks…

Statistical Mechanics · Physics 2007-05-23 M. E. J. Newman

Graphs, consisting of vertices and edges, are vital for representing complex relationships in fields like social networks, finance, and blockchain. Visualizing these graphs helps analysts identify structural patterns, with readability…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 Sanggeon Yun

Graph Representation Learning (GRL) has become central for characterizing structures of complex networks and performing tasks such as link prediction, node classification, network reconstruction, and community detection. Whereas numerous…

Social and Information Networks · Computer Science 2023-08-10 Nikolaos Nakis , Abdulkadir Çelikkanat , Sune Lehmann Jørgensen , Morten Mørup

In Network Science node neighbourhoods, also called ego-centered networks have attracted large attention. In particular the clustering coefficient has been extensively used to measure their local cohesiveness. In this paper, we show how,…

Physics and Society · Physics 2019-08-22 Alexander P. Kartun-Giles , Ginestra Bianconi

Fair graph partition of social networks is a crucial step toward ensuring fair and non-discriminatory treatments in unsupervised user analysis. Current fair partition methods typically consider node balance, a notion pursuing a…

Social and Information Networks · Computer Science 2023-07-18 Tingwei Liu , Peizhao Li , Hongfu Liu

A graph is a very common and powerful data structure used for modeling communication and social networks. Models that generate graphs with arbitrary features are important basic technologies in repeated simulations of networks and…

Machine Learning · Computer Science 2023-09-06 Takahiro Yokoyama , Yoshiki Sato , Sho Tsugawa , Kohei Watabe

Graph neural networks (GNNs) are a popular class of parametric model for learning over graph-structured data. Recent work has argued that GNNs primarily use the graph for feature smoothing, and have shown competitive results on benchmark…

Machine Learning · Computer Science 2020-11-20 Lingfan Yu , Jiajun Shen , Jinyang Li , Adam Lerer

Data heterogeneity in federated learning, characterized by a significant misalignment between local and global distributions, leads to divergent local optimization directions and hinders global model training. Existing studies mainly focus…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Yanbiao Ma , Wei Dai , Wenke Huang , Jiayi Chen

A fundamental problem in mathematics and network analysis is to find conditions under which a graph can be partitioned into smaller pieces. The most important tool for this partitioning is the Fiedler vector or discrete Cheeger inequality.…

Social and Information Networks · Computer Science 2024-05-10 Sabyasachi Basu , Suman Kalyan Bera , C. Seshadhri

Real networks often grow through the sequential addition of new nodes that connect to older ones in the graph. However, many real systems evolve through the branching of fundamental units, whether those be scientific fields, countries, or…

Physics and Society · Physics 2020-06-30 Muhua Zheng , Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

In this paper, a new information theoretic framework for graph matching is introduced. Using this framework, the graph isomorphism and seeded graph matching problems are studied. The maximum degree algorithm for graph isomorphism is…

Information Theory · Computer Science 2017-11-29 F. Shirani , S. Garg , E. Erkip
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