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Systems with long-range interactions often exhibit power-law distributions and can by described by the non-extensive statistical mechanics framework proposed by Tsallis. In this contribution we consider a simple model reproducing continuous…

Physics and Society · Physics 2015-06-19 Aleksejus Kononovicius , Julius Ruseckas

Networks provide a skeleton for the spread of contagions, like, information, ideas, behaviors and diseases. Many times networks over which contagions diffuse are unobserved and need to be inferred. Here we apply survival theory to develop…

Social and Information Networks · Computer Science 2013-05-17 Manuel Gomez Rodriguez , Jure Leskovec , Bernhard Schoelkopf

This paper considers a network of infinite-server queues with the special feature that, triggered by specific events, the network population vector may undergo a linear transformation (a `multiplicative transition'). For this model we…

Probability · Mathematics 2017-11-15 Dieter Fiems , Michel Mandjes , Brendan Patch

Diffusion probabilistic models (DPMs) have rapidly evolved to be one of the predominant generative models for the simulation of synthetic data, for instance, for computer vision, audio, natural language processing, or biomolecule…

Machine Learning · Computer Science 2024-02-20 Simon Dirmeier , Ye Hong , Fernando Perez-Cruz

Identifying communities from temporal networks facilitates the understanding of potential dynamic relationships among entities, which has already received extensive applications. However, existing methods primarily rely on lower-order…

Social and Information Networks · Computer Science 2024-10-22 Huihui Yang , Chunxue Zhu , Longlong Lin , Pingpeng Yuan

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…

Physics and Society · Physics 2017-09-19 Jürgen Hackl , Bryan T. Adey

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

Physics and Society · Physics 2010-10-21 Scott A. Hill , Dan Braha

Understanding the pattern formation in communities has been at the center of attention in various fields. Here we introduce a novel model, called an "information-particle model," which is based on the reaction-diffusion model and the…

Physics and Society · Physics 2023-07-21 Junichi Miyakoshi

The very notion of social network implies that linked individuals interact repeatedly with each other. This allows them not only to learn successful strategies and adapt to them, but also to condition their own behavior on the behavior of…

Physics and Society · Physics 2015-05-27 Luca Dall'Asta , Matteo Marsili , Paolo Pin

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

Disordered Systems and Neural Networks · Physics 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

Spatio-temporal network dynamics is an emergent property of many complex systems which remains poorly understood. We suggest a new approach to its study based on the analysis of dynamical motifs -- small subnetworks with periodic and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Valentin P. Zhigulin

A number of recent studies have focused on the statistical properties of networked systems such as social networks and the World-Wide Web. Researchers have concentrated particularly on a few properties which seem to be common to many…

Statistical Mechanics · Physics 2009-11-07 Michelle Girvan , M. E. J. Newman

We present here two examples of stochastic modelings of social phenomena. The first topic is pedestrian counter flow. Two groups of model pedestrians move in opposite directions and create congestions. It will be shown that this congestion…

Physics and Society · Physics 2013-09-19 Kichi Tokuyama , Ryuta Maemura , Kengo Yokouchi , Toru Ohira

We study the spread of influence in a social network based on the Linear Threshold model. We derive an analytical expression for evaluating the expected size of the eventual influenced set for a given initial set, using the probability of…

Other Computer Science · Computer Science 2010-02-09 Srinivasan Venkatramanan , Anurag Kumar

Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the…

Physics and Society · Physics 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

A tournament is called locally transitive if the outneighbourhood and the inneighbourhood of every vertex are transitive. Equivalently, a tournament is locally transitive if it avoids the tournaments $W_4$ and $L_4$, which are the only…

Combinatorics · Mathematics 2015-04-16 Leonardo Nagami Coregliano

What are the key-features that enable an information diffusion model to explain the inherent dynamic, and often competitive, nature of real-world propagation phenomena? In this paper we aim to answer this question by proposing a novel class…

Social and Information Networks · Computer Science 2018-05-30 Antonio Caliò , Andrea Tagarelli

The increase in the connectivity between hosts in recent times has facilitated the emergence of more aggressive mutant viral strains, making their containment and eradication significantly more challenging compared to the original variants.…

Populations and Evolution · Quantitative Biology 2025-02-27 Javier López-Pedrares , M. Elena Vázquez-Cendón , Alberto P. Muñuzuri

Transporter Net is a recently proposed framework for pick and place that is able to learn good manipulation policies from a very few expert demonstrations. A key reason why Transporter Net is so sample efficient is that the model…

Robotics · Computer Science 2022-09-23 Haojie Huang , Dian Wang , Robin Walters , Robert Platt

Modularity is a very widely used measure of the level of clustering or community structure in networks. Here we consider a recent generalisation of the definition of modularity to temporal graphs, whose edge-sets change over discrete…

Combinatorics · Mathematics 2025-07-24 Vilhelm Agdur , Jessica Enright , Laura Larios-Jones , Kitty Meeks , Fiona Skerman , Ella Yates