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Firing rate fluctuations in neural populations are observed experimentally over multiple time scales, in single neurons, across trials when elicited by stimuli, and across populations. In this work, we examine how firing rate fluctuations…

Neurons and Cognition · Quantitative Biology 2026-05-15 Wilten Nicola , Sue Ann Campbell

In this study, we investigate the under-explored intervention planning aimed at disseminating accurate information within dynamic opinion networks by leveraging learning strategies. Intervention planning involves identifying key nodes…

Machine Learning · Computer Science 2024-11-05 Bharath Muppasani , Protik Nag , Vignesh Narayanan , Biplav Srivastava , Michael N. Huhns

We consider the problem of inferring the functional connectivity of a large-scale computer network from sparse time series of events emitted by its nodes. We do so under the following three domain-specific constraints: (a) non-stationarity…

Machine Learning · Computer Science 2018-02-13 Antoine Messager , George Parisis , Istvan Z Kiss , Robert Harper , Phil Tee , Luc Berthouze

Known by many names and arising in many settings, the forced linear diffusion model is central to the modeling of power and influence within social networks (while also serving as the mechanistic justification for the widely used…

Social and Information Networks · Computer Science 2023-11-01 Carter T. Butts

Influence maximization in networks is a central problem in machine learning and causal inference, where an intervention on a subset of individuals triggers a diffusion process through the network. Existing approaches typically optimize…

Methodology · Statistics 2026-03-13 Renjie Cao , Zhuoxin Yan , Xinyan Su , Zhiheng Zhang

Knowing which nodes are influential in a complex network and whether the network can be influenced by a small subset of nodes is a key part of network analysis. However, many traditional measures of importance focus on node level…

Physics and Society · Physics 2023-06-27 Niall Rodgers , Peter Tino , Samuel Johnson

We study the large time behavior of a system of interacting agents modeling the relaxation of a large swarm of robots, whose task is to uniformly cover a portion of the domain by communicating with each other in terms of their distance. To…

Analysis of PDEs · Mathematics 2023-07-11 Ferdinando Auricchio , Massimo Carraturo , Giuseppe Toscani , Mattia Zanella

The degree distribution is a key statistical indicator in network theory, often used to understand how information spreads across connected nodes. In this paper, we focus on non-growing networks formed through a rewiring algorithm and…

Physics and Society · Physics 2025-07-11 Jonathan Franceschi , Lorenzo Pareschi , Mattia Zanella

The problem of finding optimal set of users for influencing others in the social network has been widely studied. Because it is NP-hard, some heuristics were proposed to find sub-optimal solutions. Still, one of the commonly used assumption…

Social and Information Networks · Computer Science 2014-11-24 Radosław Michalski , Tomasz Kajdanowicz , Piotr Bródka , Przemysław Kazienko

Node influence metrics have been applied to many applications, including ranking web pages on internet, or locations on spatial networks. PageRank is a popular and effective algorithm for estimating node influence. However, conventional…

Social and Information Networks · Computer Science 2021-04-07 Qiwei Ma , Zhaoya Gong

Prediction is an important problem in different science domains. In this paper, we focus on trend prediction in complex networks, i.e. to identify the most popular nodes in the future. Due to the preferential attachment mechanism in real…

Social and Information Networks · Computer Science 2015-08-19 Yanbo Zhou , An Zeng , Wei-Hong Wang

Influence systems form a large class of multiagent systems designed to model how influence, broadly defined, spreads across a dynamic network. We build a general analytical framework which we then use to prove that, while sometimes chaotic,…

Adaptation and Self-Organizing Systems · Physics 2012-07-25 Bernard Chazelle

The integrity and functionality of many real-world complex systems hinge on a small set of pivotal nodes, or influencers. In different contexts, these influencers are defined as either structurally important nodes that maintain the…

Physics and Society · Physics 2019-08-30 Sen Pei , Jiannan Wang , Flaviano Morone , Hernán A Makse

We propose a mathematical framework to systematically explore the propagation properties of a class of continuous in time nonlinear neural network models comprising a hierarchy of processing areas, mutually connected according to the…

Analysis of PDEs · Mathematics 2025-05-15 Andrea Alamia , Léa Dalliès , Grégory Faye , Rufin Vanrullen

Many classes of network growth models have been proposed in the literature for capturing real-world complex networks. Existing research primarily focuses on global characteristics of these models, e.g., degree distribution. We aim to shift…

Social and Information Networks · Computer Science 2020-09-02 Shravika Mittal , Tanmoy Chakraborty , Siddharth Pal

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

Numerical Analysis · Mathematics 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

This work examines the problem of topology inference over discrete-time nonlinear stochastic networked dynamical systems. The goal is to recover the underlying digraph linking the network agents, from observations of their state-evolution.…

Multiagent Systems · Computer Science 2019-06-24 Augusto Santos , Vincenzo Matta , Ali H. Sayed

Learning influence pathways of a network of dynamically related processes from observations is of considerable importance in many disciplines. In this article, influence networks of agents which interact dynamically via linear dependencies…

Systems and Control · Computer Science 2018-09-28 Saurav Talukdar , Deepjyoti Deka , Harish Doddi , Donatello Materassi , Misha Chertkov , Murti V. Salapaka

We study a population of $N$ particles, which evolve according to a diffusion process and interact through a dynamical network. In turn, the evolution of the network is coupled to the particles' positions. In contrast with the mean-field…

Mathematical Physics · Physics 2020-10-14 Julien Barré , Paul Dobson , Michela Ottobre , Ewelina Zatorska

Social power quantifies the ability of individuals to influence others and plays a central role in social influence networks. Yet, computing social power typically requires global knowledge and significant computational or storage…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Ye Tian , Angela Fontan , Yu Kawano , Wei Zhang , Kenji Kashima , Karl H. Johansson
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