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The ability to simulate realistic networks based on empirical data is an important task across scientific disciplines, from epidemiology to computer science. Often simulation approaches involve selecting a suitable network generative model…

Social and Information Networks · Computer Science 2024-06-13 Raima Carol Appaw , Nicholas Fountain-Jones , Michael A. Charleston

The study of probabilistic models for the analysis of complex networks represents a flourishing research field. Among the former, Exponential Random Graphs (ERGs) have gained increasing attention over the years. So far, only linear ERGs…

Physics and Society · Physics 2026-02-10 Mattia Marzi , Francesca Giuffrida , Diego Garlaschelli , Tiziano Squartini

Growth dynamic of real networks because of emerging complexities is an open and interesting question. Indeed it is not realistic to ignore history impact on the current events. The mystery behind that complexity could be in the role of…

Physics and Society · Physics 2015-05-26 Hadiseh Safdari , Milad Zare Kamali , Amir Hossein Shirazi , Moein Khaliqi , Gholamreza Jafari

Recent research on graph neural networks (GNNs) has explored mechanisms for capturing local uncertainty and exploiting graph hierarchies to mitigate data sparsity and leverage structural properties. However, the synergistic integration of…

Machine Learning · Computer Science 2025-05-06 Yoonhyuk Choi , Jiho Choi , Taewook Ko , Chong-Kwon Kim

In many real-world networks, the rates of node and link addition are time dependent. This observation motivates the definition of accelerating networks. There has been relatively little investigation of accelerating networks and previous…

Physics and Society · Physics 2009-10-08 David M. D. Smith , Jukka-Pekka Onnela , Nick S. Jones

Network biology is an interdisciplinary field bridging computational and biological sciences that has proved pivotal in advancing the understanding of cellular functions and diseases across biological systems and scales. Although the field…

While network science has become an indispensable tool for studying complex systems, the conventional use of pairwise links often shows limitations in describing high-order interactions properly. Hypergraphs, where each edge can connect…

Physics and Society · Physics 2024-12-20 Zhao Li , Jing Zhang , Jiqiang Zhang , Guozhong Zheng , Weiran Cai , Li Chen

In this work, we take a closer look at the evaluation of two families of methods for enriching information from knowledge graphs: Link Prediction and Entity Alignment. In the current experimental setting, multiple different scores are…

Machine Learning · Computer Science 2023-09-21 Max Berrendorf , Evgeniy Faerman , Laurent Vermue , Volker Tresp

We generalize the poissonian evolving random graph model of Bauer and Bernard to deal with arbitrary degree distributions. The motivation comes from biological networks, which are well-known to exhibit non poissonian degree distribution. A…

Statistical Mechanics · Physics 2009-11-07 Stephane Coulomb , Michel Bauer

Recent years have witnessed a thriving growth of computing facilities connected at the network edge, cultivating edge networks as a fundamental infrastructure for supporting miscellaneous intelligent services.Meanwhile, Artificial…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-08 Liekang Zeng , Shengyuan Ye , Xu Chen , Xiaoxi Zhang , Ju Ren , Jian Tang , Yang Yang , Xuemin , Shen

In recent years there has been considerable interest in the structure and dynamics of complex networks. One of the most studied networks is the linear Barab\'asi-Albert model. Here we investigate the nonlinear Barab\'asi-Albert growing…

Statistical Mechanics · Physics 2009-11-10 R. N. Onody , P. A. de Castro

As the Internet becomes severely overburdened with exponentially growing traffic demand, it becomes a general belief that a new generation data network is in urgent need today. However, standing at this crossroad, we find that we are in a…

Networking and Internet Architecture · Computer Science 2009-11-12 Guoqiang Zhang

Network science has evolved into an indispensable platform for studying complex systems. But recent research has identified limits of classical networks, where links connect pairs of nodes, to comprehensively describe group interactions.…

Physics and Society · Physics 2022-03-24 Soumen Majhi , Matjaz Perc , Dibakar Ghosh

Knowledge Graph(KG) has gained traction as a machine-readable organization of real-world knowledge for analytics using artificial intelligence systems. Graph Neural Network(GNN), is proven to be an effective KG embedding technique that…

Machine Learning · Computer Science 2026-02-24 Rajesh Rajagopalamenon , Unnikrishnan Cheramangalath

Due to the fact that the numbers of annually published papers have witnessed a linear growth in some citation networks, a geometric model is thus proposed to predict some statistical features of those networks, in which the academic…

Physics and Society · Physics 2016-07-07 Qi Liu , Zheng Xie , Engming Dong , Jianping Li

Alzheimer's disease is the most common neurodegenerative disease. The aim of this study is to infer structural changes in brain connectivity resulting from disease progression using cortical thickness measurements from a cohort of…

The model of scientific paradigms spreading throughout the community of agents with memory is analyzed using the master equation. The case of two competing ideas is considered for various networks of interactions, including agents placed at…

Physics and Society · Physics 2015-05-28 Paweł Kondratiuk , Grzegorz Siudem , Janusz A. Hołyst

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

Physics and Society · Physics 2022-04-07 Alexandre Bovet , Hernán A. Makse

We study a recent class of models which uses graph neural networks (GNNs) to improve forecasting in multivariate time series. The core assumption behind these models is that there is a latent graph between the time series (nodes) that…

Many existing statistical models for networks overlook the fact that many real world networks are formed through a growth process. To address this, we introduce the PAPER (Preferential Attachment Plus Erd\H{o}s--R\'{e}nyi) model for random…

Methodology · Statistics 2023-02-08 Harry Crane , Min Xu
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