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An important aspect in jointly analysing networked control systems and their communication is to model the networking in a sufficiently rich but at the same time mathematically tractable way. As such, this paper improves on a recently…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Christian Hespe , Herbert Werner

The pointwise mutual information profile, or simply profile, is the distribution of pointwise mutual information for a given pair of random variables. One of its important properties is that its expected value is precisely the mutual…

Machine Learning · Statistics 2024-05-30 Paweł Czyż , Frederic Grabowski , Julia E. Vogt , Niko Beerenwinkel , Alexander Marx

The temporal changes in complex systems of interactions have excited the research community in recent years as they encompass understandings on their dynamics and evolution. From the collective dynamics of organizations and online…

Social and Information Networks · Computer Science 2020-04-15 Hadar Miller , Osnat Mokryn

With the rapid growth of online social network sites (SNS), it has become imperative for platform owners and online marketers to investigate what drives content production on these platforms. However, previous research has found it…

Social and Information Networks · Computer Science 2018-11-28 Prasanta Bhattacharya , Tuan Q. Phan , Xue Bai , Edoardo Airoldi

This paper proposes models of learning process in teams of individuals who collectively execute a sequence of tasks and whose actions are determined by individual skill levels and networks of interpersonal appraisals and influence. The…

Social and Information Networks · Computer Science 2016-10-03 Wenjun Mei , Noah E. Friedkin , Kyle Lewis , Francesco Bullo

Effective coordination of agents actions in partially-observable domains is a major challenge of multi-agent systems research. To address this, many researchers have developed techniques that allow the agents to make decisions based on…

Multiagent Systems · Computer Science 2011-09-28 P. S. Dutta , N. R. Jennings , L. Moreau

A protocol for distributed estimation of discrete distributions is proposed. Each agent begins with a single sample from the distribution, and the goal is to learn the empirical distribution of the samples. The protocol is based on a simple…

Optimization and Control · Mathematics 2014-06-06 Anand D. Sarwate , Tara Javidi

A model for the spreading of online information or "memes" on multiplex networks is introduced and analyzed using branching-process methods. The model generalizes that of [Gleeson et al., Phys.Rev. X., 2016] in two ways. First, even for a…

Physics and Society · Physics 2019-03-01 Joseph D. O'Brien , Ioannis K. Dassios , James P. Gleeson

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

Machine Learning · Statistics 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu

Analytical approaches to model the structure of complex networks can be distinguished into two groups according to whether they consider an intensive (e.g., fixed degree sequence and random otherwise) or an extensive (e.g., adjacency…

Physics and Society · Physics 2019-02-13 Antoine Allard , Laurent Hébert-Dufresne

The style of mathematical models known to probabilists as Interacting Particle Systems and exemplified by the Voter, Exclusion and Contact processes have found use in many academic disciplines. In many such disciplines the underlying…

Statistics Theory · Mathematics 2013-09-27 David Aldous

Predicting cascade dynamics has important implications for understanding information propagation and launching viral marketing. Previous works mainly adopt a pair-wise manner, modeling the propagation probability between pairs of users…

Social and Information Networks · Computer Science 2015-01-23 Yongqing Wang , Hua-Wei Shen , Shenghua Liu , Xue-Qi Cheng

A new statistical based model approach to characterize a user's behavior in an Internet access link is presented. The real patterns of Internet traffic in a heterogeneous Campus Network are studied. We find three clearly different patterns…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carmen Pellicer-Lostao , Daniel Morato , Ricardo Lopez-Ruiz

Temporal-network models have provided key insights into how time-varying connectivity shapes dynamical processes such as spreading. Among them, the activity-driven model is a widely used, analytically tractable benchmark. Yet many temporal…

Physics and Society · Physics 2025-11-20 Zsófia Simon , Jari Saramäki

Probabilistic graphical models are widely used to model complex systems under uncertainty. Traditionally, Gaussian directed graphical models are applied for analysis of large networks with continuous variables as they can provide…

Methodology · Statistics 2024-05-27 Victoria Volodina , Nikki Sonenberg , Peter Challenor , Jim Q. Smith

Although there is always an interplay between the dynamics of information diffusion and disease spreading, the empirical research on the systemic coevolution mechanisms connecting these two spreading dynamics is still lacking. Here we…

Physics and Society · Physics 2016-07-07 Wei Wang , Quan-Hui Liu , Shi-Min Cai , Ming Tang , Lidia A. Braunstein , H. Eugene Stanley

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

In this paper, we introduce two deterministic models aimed at capturing the dynamics of congested Internet connections. The first model is a continuous-time model that combines a system of differential equations with a sudden change in one…

Networking and Internet Architecture · Computer Science 2007-05-23 Ian Frommer , Eric Harder , Brian Hunt , Ryan Lance , Edward Ott , James Yorke

Continuous-time event data are common in applications such as individual behavior data, financial transactions, and medical health records. Modeling such data can be very challenging, in particular for applications with many different types…

Machine Learning · Statistics 2020-11-09 Alex Boyd , Robert Bamler , Stephan Mandt , Padhraic Smyth

The quantity and types of biodiversity data being collected have increased in recent years. If we are to model and monitor biodiversity effectively, we need to respect how different data sets were collected, and effectively integrate these…