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Network theory provides novel concepts that promise an improved characterization of interacting dynamical systems. Within this framework, evolving networks can be considered as being composed of nodes, representing systems, and of…

Neurons and Cognition · Quantitative Biology 2014-08-26 Klaus Lehnertz , Gerrit Ansmann , Stephan Bialonski , Henning Dickten , Christian Geier , Stephan Porz

A source submits status updates to a network for delivery to a destination monitor. Updates follow a route through a series of network nodes. Each node is a last-come-first-served queue supporting preemption in service. We characterize the…

Information Theory · Computer Science 2018-03-22 Roy D. Yates

Bayesian networks are powerful statistical models to study the probabilistic relationships among set random variables with major applications in disease modeling and prediction. Here, we propose a continuous time Bayesian network with…

Machine Learning · Computer Science 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo

We study a simple model of how social behaviors, like trends and opinions, propagate in networks where individuals adopt the trend when they are informed by threshold $T$ neighbors who are adopters. Using a dynamic message-passing…

Physics and Society · Physics 2015-06-18 Munik Shrestha , Cristopher Moore

Message passing neural networks have recently evolved into a state-of-the-art approach to representation learning on graphs. Existing methods perform synchronous message passing along all edges in multiple subsequent rounds and consequently…

Machine Learning · Computer Science 2020-12-21 Julian Busch , Jiaxing Pi , Thomas Seidl

The evolution of communities in dynamic (time-varying) network data is a prominent topic of interest. A popular approach to understanding these dynamic networks is to embed the dyadic relations into a latent metric space. While methods for…

Methodology · Statistics 2020-03-18 Joshua Daniel Loyal , Yuguo Chen

We introduce a new class of latent process models for dynamic relational network data with the goal of detecting time-dependent structure. Network data are often observed over time, and static network models for such data may fail to…

Methodology · Statistics 2013-11-15 Lucy F. Robinson , Carey E. Priebe

We investigate in detail a recent model of colliding mobile agents [Phys. Rev. Lett.~96, 088702], used as an alternative approach to construct evolving networks of interactions formed by the collisions governed by suitable dynamical rules.…

Physics and Society · Physics 2013-01-01 Marta C. González , Pedro G. Lind , Hans J. Herrmann

Poisson autoregressive count models have evolved into a time series staple for correlated count data. This paper proposes an alternative to Poisson autoregressions: count echo state networks. Echo state networks can be statistically…

Methodology · Statistics 2025-01-27 Qi Wang , Paul A. Parker , Robert B. Lund

Social media platforms are extensively used for sharing personal emotions, daily activities, and various life events, keeping people updated with the latest happenings. From the moment a user creates an account, they continually expand…

Social and Information Networks · Computer Science 2024-07-24 Ismail Hossain , Md Jahangir Alam , Sai Puppala , Sajedul Talukder

Understanding information cascades in networks is a fundamental issue in numerous applications. Current researches often sample cascade information into several independent paths or subgraphs to learn a simple cascade representation.…

Social and Information Networks · Computer Science 2024-03-25 Fanrui Zhang , Jiawei Liu , Qiang Zhang , Xiaoling Zhu , Zheng-Jun Zha

A two-tier heterogeneous cellular network (HCN) with intra-tier and inter-tier dependence is studied. The macro cell deployment follows a Poisson point process (PPP) and two different clustered point processes are used to model the…

Information Theory · Computer Science 2016-05-03 Ejder Baştuğ , Mehdi Bennis , Marios Kountouris , Mérouane Debbah

Novelty attracts attention like popularity. Hence predicting novelty is as important as popularity. Novelty is the side effect of competition and aging in evolving systems. Recent behavior or recent link gain in networks plays an important…

Social and Information Networks · Computer Science 2017-06-13 Khushnood Abbas

In the last twenty years network science has proven its strength in modelling many real-world interacting systems as generic agents, the nodes, connected by pairwise edges. Yet, in many relevant cases, interactions are not pairwise but…

Physics and Society · Physics 2020-02-26 Timoteo Carletti , Federico Battiston , Giulia Cencetti , Duccio Fanelli

We study the behavior of epidemic routing in a delay tolerant network as a function of node density. Focusing on the probability of successful delivery to a destination within a deadline (PS), we show that PS experiences a phase transition…

Networking and Internet Architecture · Computer Science 2020-02-13 Leila Rashidi , Don Towsley , Arman Mohseni-Kabir , Ali Movaghar

Network data often arises via a series of structured interactions among a population of constituent elements. E-mail exchanges, for example, have a single sender followed by potentially multiple receivers. Scientific articles, on the other…

Methodology · Statistics 2019-01-30 Walter Dempsey , Brandon Oselio , Alfred Hero

The propagations of diseases, behaviors and information in real systems are rarely independent of each other, but they are coevolving with strong interactions. To uncover the dynamical mechanisms, the evolving spatiotemporal patterns and…

Physics and Society · Physics 2019-10-02 Wei Wang , Quan-Hui Liu , Junhao Liang , Yanqing Hu , Tao Zhou

Online boards offer a platform for sharing and discussing content, where discussion emerges as a cascade of comments in response to a post. Branching point process models offer a practical approach to modelling these cascades; however,…

Applications · Statistics 2025-01-24 Joe Meagher , Nial Friel

Models for cross-sectional network data have become increasingly well-developed in recent decades, and are widely used. This has led to a growing interest in the connection between such cross-sectional models and the behavioral processes…

Social and Information Networks · Computer Science 2026-05-05 Carter T. Butts , Alexander Murray-Watters

Network representation learning has aroused widespread interests in recent years. While most of the existing methods deal with edges as pairwise relationships, only a few studies have been proposed for hyper-networks to capture more…

Social and Information Networks · Computer Science 2019-10-23 Jie Huang , Xin Liu , Yangqiu Song