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The structure and dynamic of social network are largely determined by the heterogeneous interaction activity and social capital allocation of individuals. These features interplay in a non-trivial way in the formation of network and…

In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

Real-world networks in technology, engineering and biology often exhibit dynamics that cannot be adequately reproduced using network models given by smooth dynamical systems and a fixed network topology. Asynchronous networks give a…

Dynamical Systems · Mathematics 2017-02-07 Christian Bick , Michael Field

We propose generalizations of a number of standard network models, including the classic random graph, the configuration model, and the stochastic block model, to the case of time-varying networks. We assume that the presence and absence of…

Social and Information Networks · Computer Science 2018-05-02 Xiao Zhang , Cristopher Moore , M. E. J. Newman

Anomaly detection aims to distinguish abnormal instances that deviate significantly from the majority of benign ones. As instances that appear in the real world are naturally connected and can be represented with graphs, graph neural…

Machine Learning · Computer Science 2023-05-24 Sheng Tian , Jihai Dong , Jintang Li , Wenlong Zhao , Xiaolong Xu , Baokun wang , Bowen Song , Changhua Meng , Tianyi Zhang , Liang Chen

We give a simple characterization of the functions that can be computed deterministically by anonymous processes in dynamic networks, depending on the number of leaders in the network. In addition, we provide efficient distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Giuseppe A. Di Luna , Giovanni Viglietta

Synchronized measurements of a large power grid enable an unprecedented opportunity to study the spatialtemporal correlations. Statistical analytics for those massive datasets start with high-dimensional data matrices. Uncertainty is…

Applications · Statistics 2018-02-13 Zenan Ling , Robert C. Qiu , Xing He , Lei Chu

We study a discrete-time consensus model in which agents iteratively update their states through interactions on a dynamic social network. At each step, a single agent is selected asynchronously and averages the values of its current…

Systems and Control · Computer Science 2025-12-29 Hsin-Lun Li

A class of dynamic threshold models is proposed, for describing the upset of collective actions in social networks. The agents of the network have to decide whether to undertake a certain action or not. They make their decision by comparing…

Social and Information Networks · Computer Science 2016-05-23 Andrea Garulli , Antonio Giannitrapani

Synchronization is an important behavior that characterizes many natural and human made systems composed by several interacting units. It can be found in a broad spectrum of applications, ranging from neuroscience to power-grids, to mention…

Adaptation and Self-Organizing Systems · Physics 2025-10-22 Riccardo Muolo , Timoteo Carletti , James P. Gleeson , Malbor Asllani

In a recent article [1] we surveyed advances related to adaptation, learning, and optimization over synchronous networks. Various distributed strategies were discussed that enable a collection of networked agents to interact locally in…

Optimization and Control · Mathematics 2017-12-13 Ali H. Sayed , Xiaochuan Zhao

We study binary state dynamics on a network where each node acts in response to the average state of its neighborhood. Allowing varying amounts of stochasticity in both the network and node responses, we find different outcomes in random…

Physics and Society · Physics 2014-07-09 Kameron Decker Harris , Christopher M. Danforth , Peter Sheridan Dodds

We study binary state contagion dynamics on a social network where nodes act in response to the average state of their neighborhood. We model the competing tendencies of imitation and non-conformity by incorporating an off-threshold into…

Physics and Society · Physics 2015-03-13 Kameron Decker Harris

Bayesian networks are a widely-used class of probabilistic graphical models capable of representing symmetric conditional independence between variables of interest using the topology of the underlying graph. For categorical variables, they…

Machine Learning · Statistics 2022-10-07 Gherardo Varando , Federico Carli , Manuele Leonelli

We study convergence rates of random-order best-response dynamics in games on networks with linear best responses and strategic substitutes. Combining formal analysis with numerical simulations we identify phenomena that lead to slow…

Computer Science and Game Theory · Computer Science 2026-02-19 Wojciech Misiak , Marcin Dziubiński

In this paper, we formalize design patterns, commonly used in the self-stabilizing area, to obtain general statements regarding both correctness and time complexity guarantees. Precisely, we study a general class of algorithms designed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-08 Karine Altisen , Stéphane Devismes , Anaïs Durand

In Part I \cite{Zhao13TSPasync1}, we introduced a fairly general model for asynchronous events over adaptive networks including random topologies, random link failures, random data arrival times, and agents turning on and off randomly. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

This paper introduces a novel continuous-time dynamic average consensus algorithm for networks whose interaction is described by a strongly connected and weight-balanced directed graph. The proposed distributed algorithm allows agents to…

Optimization and Control · Mathematics 2014-01-28 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

The Naming Game is a model of non-equilibrium dynamics for the self-organized emergence of a linguistic convention or a communication system in a population of agents with pairwise local interactions. We present an extensive study of its…

Physics and Society · Physics 2007-05-23 Luca Dall'Asta , Andrea Baronchelli , Alain Barrat , Vittorio Loreto

We propose a novel framework for Network Stochastic Differential Equations (N-SDE), where each node in a network is governed by an SDE influenced by interactions with its neighbors. The evolution of each node is driven by the interplay of…

Methodology · Statistics 2025-06-03 Francesco Iafrate , Stefano Iacus
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