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Finding densely connected subsets of vertices in an unsupervised setting, called clustering or community detection, is one of the fundamental problems in network science. The edge clustering approach instead detects communities by…

Social and Information Networks · Computer Science 2026-03-02 Ryan DeWolfe , François Théberge

Temporality, a crucial characteristic in the formation of social relationships, was used to quantify the long-term time effects of networks for link prediction models, ignoring the heterogeneity of time effects on different time scales. In…

Social and Information Networks · Computer Science 2024-06-17 Yueran Duan , Mateusz Nurek , Qing Guan , Radosław Michalski , Petter Holme

In this article we focus on dynamic network data which describe interactions among a fixed population through time. We model this data using the latent space framework, in which the probability of a connection forming is expressed as a…

Methodology · Statistics 2021-12-21 Kathryn Turnbull , Christopher Nemeth , Matthew Nunes , Tyler McCormick

We study a class of dynamical networks modeled by linear and time-invariant systems which are described by state-space realizations. For these networks, we investigate the relations between various types of factorizations which preserve the…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Şerban Sabău , Andrei Sperilă , Cristian Oară , Ali Jadbabaie

We propose a novel probabilistic framework to model continuous-time interaction events data. Our goal is to infer the \emph{implicit} community structure underlying the temporal interactions among entities, and also to exploit how the…

Social and Information Networks · Computer Science 2020-06-24 Sikun Yang , Heinz Koeppl

Dynamic temporal graphs represent evolving relations between entities, e.g. interactions between social network users or infection spreading. We propose an extension of graph echo state networks for the efficient processing of dynamic…

Machine Learning · Computer Science 2022-10-31 Domenico Tortorella , Alessio Micheli

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

Mobile edge caching enables content delivery directly within the radio access network, which effectively alleviates the backhaul burden and reduces round-trip latency. To fully exploit the edge resources, the most popular contents should be…

Networking and Internet Architecture · Computer Science 2017-09-19 Peng Yang , Ning Zhang , Shan Zhang , Li Yu , Junshan Zhang , Xuemin Shen

Previous network models have imagined that connections change to promote structural balance, or to reflect hierarchies. We propose a model where agents adjust their connections to appear credible to an external observer. In particular, we…

Social and Information Networks · Computer Science 2019-06-05 Joel Nishimura , Oscar Goodloe

In the study of dynamical processes on networks, there has been intense focus on network structure -- i.e., the arrangement of edges and their associated weights -- but the effects of the temporal patterns of edges remains poorly…

Physics and Society · Physics 2015-06-16 Till Hoffmann , Mason A. Porter , Renaud Lambiotte

Significant efforts have gone into the development of statistical models for analyzing data in the form of networks, such as social networks. Most existing work has focused on modeling static networks, which represent either a single time…

Social and Information Networks · Computer Science 2013-04-23 Kevin S. Xu , Alfred O. Hero

We provide the first information theoretic tight analysis for inference of latent community structure given a sparse graph along with high dimensional node covariates, correlated with the same latent communities. Our work bridges recent…

Social and Information Networks · Computer Science 2018-07-26 Yash Deshpande , Andrea Montanari , Elchanan Mossel , Subhabrata Sen

Intelligent agents must be able to articulate its own uncertainty. In this work, we show that pre-trained sequence models are naturally capable of probabilistic reasoning over exchangeable data points -- forming informed beliefs and…

Machine Learning · Statistics 2024-12-02 Naimeng Ye , Hongseok Namkoong

Latent stochastic block models are flexible statistical models that are widely used in social network analysis. In recent years, efforts have been made to extend these models to temporal dynamic networks, whereby the connections between…

Methodology · Statistics 2017-03-23 Riccardo Rastelli , Pierre Latouche , Nial Friel

Reasoning about graphs evolving over time is a challenging concept in many domains, such as bioinformatics, physics, and social networks. We consider a common case in which edges can be short term interactions (e.g., messaging) or long term…

Machine Learning · Statistics 2020-06-22 Boris Knyazev , Carolyn Augusta , Graham W. Taylor

A majority of real life networks are weighted and sparse. The present article aims at characterization of weighted networks based on sparsity, as a measure of inherent diversity, of different network parameters. It utilizes sparsity index…

Discrete Mathematics · Computer Science 2021-01-12 Swati Goswami , Asit K. Das , Subhas C. Nandy

We analyze random networks that change over time. First we analyze a dynamic Erdos-Renyi model, whose edges change over time. We describe its stationary distribution, its convergence thereto, and the SI contact process on the network, which…

Probability · Mathematics 2015-03-19 Benjamin Armbruster , John Gunnar Carlsson

Modeling of dynamic networks -- networks that evolve over time -- has manifold applications in many fields. In epidemiology in particular, there is a need for data-driven modeling of human sexual relationship networks for the purpose of…

Methodology · Statistics 2022-03-15 Pavel N. Krivitsky

Latent space models are frequently used for modeling single-layer networks and include many popular special cases, such as the stochastic block model and the random dot product graph. However, they are not well-developed for more complex…

Methodology · Statistics 2021-07-09 Peter W. MacDonald , Elizaveta Levina , Ji Zhu

Effective network state classification is a primary task for ensuring network security and optimizing performance. Existing deep learning models have shown considerable progress in this area. Some methods excel at analyzing the complex…

Machine Learning · Computer Science 2025-09-16 Yuan Gao , Xuelong Wang , Zhenguo Dong , Yong Zhang