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Viral marketing takes advantage of preexisting social networks among customers to achieve large changes in behaviour. Models of influence spread have been studied in a number of domains, including the effect of "word of mouth" in the…

Computer Science and Game Theory · Computer Science 2008-09-08 Hamed Amini , Moez Draief , Marc Lelarge

Attempts from different disciplines to provide a fundamental understanding of deep learning have advanced rapidly in recent years, yet a unified framework remains relatively limited. In this article, we provide one possible way to align…

Machine Learning · Computer Science 2019-10-01 Guan-Horng Liu , Evangelos A. Theodorou

Any network studied in the literature is inevitably just a sampled representative of its real-world analogue. Additionally, network sampling is lately often applied to large networks to allow for their faster and more efficient analysis.…

Social and Information Networks · Computer Science 2015-04-14 Neli Blagus , Lovro Šubelj , Gregor Weiss , Marko Bajec

To investigate the role of information flow in group formation, we introduce a model of communication and social navigation. We let agents gather information in an idealized network society, and demonstrate that heterogeneous groups can…

Physics and Society · Physics 2009-03-04 M. Rosvall , K. Sneppen

The paper studies the problem of steering multi-dimensional opinion in a social network. Assuming the society of desire consists of stubborn and regular agents, stubborn agents are considered as leaders who specify the desired opinion…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Hossein Rastgoftar

A major achievement in the study of complex networks is the observation that diverse systems, from sub-cellular biology to social networks, exhibit universal topological characteristics. Yet this universality does not naturally translate to…

Physics and Society · Physics 2018-01-29 Chittaranjan Hens , Uzi Harush , Reuven Cohen , Baruch Barzel

Threshold models and their dynamics may be used to model the spread of `behaviors' in social networks. Regarding such from a modal logical perspective, it is shown how standard update mechanisms may be emulated using action models -- graphs…

Computer Science and Game Theory · Computer Science 2017-08-07 Rasmus K. Rendsvig

The advantages of temporal networks in capturing complex dynamics, such as diffusion and contagion, has led to breakthroughs in real world systems across numerous fields. In the case of human behavior, face-to-face interaction networks…

Social and Information Networks · Computer Science 2025-06-06 Nicolò Alessandro Girardini , Antonio Longa , Gaia Trebucchi , Giulia Cencetti , Andrea Passerini , Bruno Lepri

Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

Network data is increasingly being used in quantitative, data-driven public policy research. These are typically very rich datasets that contain complex correlations and inter-dependencies. This richness both promises to be quite useful for…

This essay provides a critical overview of the mathematical kinetic theory of active particles, which is used to model and study collective systems consisting of interacting living entities, such as those involved in behavior and evolution.…

Physics and Society · Physics 2025-10-17 Marina Dolfin , Leone Leonida

Models of complex networks often incorporate node-intrinsic properties abstracted as hidden variables. The probability of connections in the network is then a function of these variables. Real-world networks evolve over time, and many…

Physics and Society · Physics 2021-05-19 Harrison Hartle , Fragkiskos Papadopoulos , Dmitri Krioukov

The abundance of process operating data in modern industries, along with the rapid advancement of learning techniques, has led to a paradigm shift towards data-centric analysis and control. However, integrating machine learning with control…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Yitao Yan , Yu Tong , Jie Bao , Wei Wang

The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics the models take into account, namely a network structure of…

Analysis of PDEs · Mathematics 2020-06-30 Martin Burger

Social science concerns issues on individuals, relationships, and the whole society. The complexity of research topics in social science makes it the amalgamation of multiple disciplines, such as economics, political science, and sociology,…

Social and Information Networks · Computer Science 2020-08-31 Jun Zhang , Wei Wang , Feng Xia , Yu-Ru Lin , Hanghang Tong

Since its first formulations almost a century ago, mathematical models for disease spreading contributed to understand, evaluate and control the epidemic processes.They promoted a dramatic change in how epidemiologists thought of the…

Adaptation and Self-Organizing Systems · Physics 2013-12-16 Marcelo N. Kuperman

Network science has become a powerful tool to describe the structure and dynamics of real-world complex physical, biological, social, and technological systems. Largely built on empirical observations to tackle heterogeneous, temporal, and…

Physics and Society · Physics 2021-04-28 Gerardo Iñiguez , Federico Battiston , Márton Karsai

During the ongoing COVID-19 pandemic, mathematical models of epidemic spreading have emerged as powerful tools to produce valuable predictions of the evolution of the pandemic, helping public health authorities decide which intervention…

Dynamical Systems · Mathematics 2021-11-18 Lorenzo Zino , Ming Cao

The dynamics of protection processes has been a fundamental challenge in systemic risk analysis. The conceptual principle and methodological techniques behind the mechanisms involved [in such dynamics] have been harder to grasp than…

Social and Information Networks · Computer Science 2019-07-29 Chulwook Park

Dynamical systems see widespread use in natural sciences like physics, biology, chemistry, as well as engineering disciplines such as circuit analysis, computational fluid dynamics, and control. For simple systems, the differential…