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Time-limited states characterise many dynamical processes on networks: disease infected individuals recover after some time, people forget news spreading on social networks, or passengers may not wait forever for a connection. These…

物理与社会 · 物理学 2023-06-13 Arash Badie-Modiri , Márton Karsai , Mikko Kivelä

We present the Infinite Latent Events Model, a nonparametric hierarchical Bayesian distribution over infinite dimensional Dynamic Bayesian Networks with binary state representations and noisy-OR-like transitions. The distribution can be…

机器学习 · 统计学 2012-05-14 David Wingate , Noah Goodman , Daniel Roy , Joshua Tenenbaum

Time-varying networks describe a wide array of systems whose constituents and interactions evolve over time. They are defined by an ordered stream of interactions between nodes, yet they are often represented in terms of a sequence of…

统计力学 · 物理学 2013-10-23 Bruno Ribeiro , Nicola Perra , Andrea Baronchelli

Nowadays, exponential random graphs (ERGs) are among the most widely-studied network models. Different analytical and numerical techniques for ERG have been developed that resulted in the well-established theory with true predictive power.…

物理与社会 · 物理学 2014-04-08 Agata Fronczak

Represented as graphs, real networks are intricate combinations of order and disorder. Fixing some of the structural properties of network models to their values observed in real networks, many other properties appear as statistical…

Dynamical processes on time-varying complex networks are key to understanding and modeling a broad variety of processes in socio-technical systems. Here we focus on empirical temporal networks of human proximity and we aim at understanding…

物理与社会 · 物理学 2013-11-01 Laetitia Gauvin , André Panisson , Ciro Cattuto , Alain Barrat

This paper addresses the problem of detecting anomalous activity in traffic networks where the network is not directly observed. Given knowledge of what the node-to-node traffic in a network should be, any activity that differs…

统计方法学 · 统计学 2019-02-20 Elizabeth Hou , Yasin Yilmaz , Alfred Hero

In the last decade it became apparent that a large number of the most interesting structures and phenomena of the world can be described by networks: separable elements, with connections (or interactions) between certain pairs of them.…

组合数学 · 数学 2009-02-03 Laszlo Lovasz

The problem of quickest detection of dynamic events in networks is studied. At some unknown time, an event occurs, and a number of nodes in the network are affected by the event, in that they undergo a change in the statistics of their…

信号处理 · 电气工程与系统科学 2018-07-18 Shaofeng Zou , Venugopal V. Veeravalli , Jian Li , Don Towsley

We introduce the exchangeable rewiring process for modeling time-varying networks. The process fulfills fundamental mathematical and statistical properties and can be easily constructed from the novel operation of random rewiring. We derive…

统计理论 · 数学 2015-07-29 Harry Crane

Random intersection graphs have received much interest and been used in diverse applications. They are naturally induced in modeling secure sensor networks under random key predistribution schemes, as well as in modeling the topologies of…

离散数学 · 计算机科学 2015-04-14 Jun Zhao , Osman Yağan , Virgil Gligor

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…

统计力学 · 物理学 2007-05-23 M. E. J. Newman

Graph-theoretic methods have seen wide use throughout the literature on multi-agent control and optimization. When communications are intermittent and unpredictable, such networks have been modeled using random communication graphs. When…

最优化与控制 · 数学 2020-08-12 Beth Bjorkman , Matthew Hale , Thomas Lamkin , Benjamin Robinson , Craig Thompson

Time-varying connections are crucial in understanding the structures and dynamics of complex networks. In this paper, we propose a continuous-time switching topology model for temporal networks that is driven by bursty behavior and study…

物理与社会 · 物理学 2025-05-21 Ziyan Zeng , Minyu Feng , Matjaž Perc , Jürgen Kurths

We introduce and study a class of exchangeable random graph ensembles. They can be used as statistical null models for empirical networks, and as a tool for theoretical investigations. We provide general theorems that carachterize the…

概率论 · 数学 2020-01-09 F. Bassetti , M. Cosentino Lagomarsino , S. Mandrá

We discuss how spreading processes on temporal networks are impacted by the shape of their inter-event time distributions. Through simple mathematical arguments and toy examples, we find that the key factor is the ordering in which events…

物理与社会 · 物理学 2015-06-15 Renaud Lambiotte , Lionel Tabourier , Jean-Charles Delvenne

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

物理与社会 · 物理学 2017-09-19 Jürgen Hackl , Bryan T. Adey

In this paper, we provide a review on both fundamentals of social networks and latent space modeling. The former discusses important topics related to network description, including vertex characteristics and network structure; whereas the…

社会与信息网络 · 计算机科学 2020-12-07 Juan Sosa , Lina Buitrago

Proximity networks are time-varying graphs representing the closeness among humans moving in a physical space. Their properties have been extensively studied in the past decade as they critically affect the behavior of spreading phenomena…

物理与社会 · 物理学 2019-11-28 Fragkiskos Papadopoulos , Marco Antonio Rodríguez Flores

In this paper we consider the task of detecting abnormal communication volume occurring at node-level in communication networks. The signal of the communication activity is modeled by means of a clique stream: each occurring communication…

机器学习 · 计算机科学 2019-02-13 Batiste Le Bars , Argyris Kalogeratos