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Related papers: Adaptive Diffusion Processes of Time-Varying Local…

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We considered diffusion-driven processes on small-world networks with distance-dependent random links. The study of diffusion on such networks is motivated by transport on randomly folded polymer chains, synchronization problems in…

Statistical Mechanics · Physics 2007-09-05 Balazs Kozma , Matthew B. Hastings , G. Korniss

Ever since the Barab\'{a}si-Albert (BA) scale-free network has been proposed, network modeling has been studied intensively in light of the network growth and the preferential attachment (PA). However, numerous real systems are featured…

Social and Information Networks · Computer Science 2025-11-25 Yuhan Li , Minyu Feng , Jürgen Kurths

We study diffusion of information packets on several classes of structured networks. Packets diffuse from a randomly chosen node to a specified destination in the network. As local transport rules we consider random diffusion and an…

Statistical Mechanics · Physics 2015-06-24 Bosiljka Tadic , Stefan Thurner

The problem of finding the optimal set of source nodes in a diffusion network that maximizes the spread of information, influence, and diseases in a limited amount of time depends dramatically on the underlying temporal dynamics of the…

Social and Information Networks · Computer Science 2012-05-09 Manuel Gomez Rodriguez , Bernhard Schölkopf

Distributed signal processing has attracted widespread attention in the scientific community due to its several advantages over centralized approaches. Recently, graph signal processing has risen to prominence, and adaptive distributed…

Signal Processing · Electrical Eng. & Systems 2020-08-07 Daniel G. Tiglea , Renato Candido , Magno T. M. Silva

This chapter provides a comprehensive and self-contained discussion of the most recent developments of information theory of networks. Maximum entropy models of networks are the least biased ensembles enforcing a set of constraints and are…

Disordered Systems and Neural Networks · Physics 2022-06-14 Ginestra Bianconi

Herein, we consider a voting model for information cascades on several types of networks -- a random graph, the Barab\'{a}si-Albert(BA) model, and lattice networks -- by using one parameter $\omega$; $\omega=1,0, -1$ respectively correspond…

Physics and Society · Physics 2024-07-30 Masato Hisakado , Kazuaki Nakayama , Shintaro Mori

An information theoretic approach inspired by quantum statistical mechanics was recently proposed as a means to optimize network models and to assess their likelihood against synthetic and real-world networks. Importantly, this method does…

Statistical Mechanics · Physics 2018-09-12 Carlo Nicolini , Vladimir Vlasov , Angelo Bifone

Using network-based information to facilitate information spreading is an essential task for spreading dynamics in complex networks, which will benefit the promotion of technical innovations, healthy behaviors, new products, etc. Focusing…

Physics and Society · Physics 2016-06-20 Lei Gao , Wei Wang , Liming Pan , Ming Tang , Hai-Feng Zhang

The dynamics of a packages diffusion process within a selforganized network is analytically studied by means of an extended $f$% -spin facilitated kinetic Ising model (Fredrickson-Andersen model) using a Fock-space representation for the…

Statistical Mechanics · Physics 2009-11-07 C. Pigorsch , S. Trimper

In many social complex systems, in which agents are linked by non-linear interactions, the history of events strongly influences the whole network dynamics. However, a class of "commonly accepted beliefs" seems rarely studied. In this…

In this paper, we are interested in modeling the diffusion of information in a multilayer network using thermodynamic diffusion approach. State of each agent is viewed as a topic mixture represented by a distribution over multiple topics.…

Social and Information Networks · Computer Science 2017-07-18 Shahin Mahdizadehaghdam , Han Wang , Hamid Krim , Liyi Dai

can evolve simultaneously. For the information-driven adaptive process, susceptible (infected) individuals who have abilities to recognize the disease would break the links of their infected (susceptible) neighbors to prevent the epidemic…

Physics and Society · Physics 2015-05-20 Xiu-Xiu Zhan , Chuang Liu , Gui-Quan Sun , Zi-Ke Zhang

This paper addresses the problem of distributed detection in multi-agent networks. Agents receive private signals about an unknown state of the world. The underlying state is globally identifiable, yet informative signals may be dispersed…

Optimization and Control · Mathematics 2014-10-01 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

In this paper, we analyze the effects of random sampling on adaptive diffusion networks. These networks consist in a collection of nodes that can measure and process data, and that can communicate with each other to pursue a common goal of…

Signal Processing · Electrical Eng. & Systems 2024-03-27 Daniel G. Tiglea , Renato Candido , Magno T. M. Silva

A distribution system can flexibly adjust its substation-level power output by aggregating its local distributed energy resources (DERs). Due to DER and network constraints, characterizing the exact feasible power output region is…

Optimization and Control · Mathematics 2023-10-10 Qi Li , Jianzhe Liu , Bai Cui , Wenzhan Song , Jin Ye

We compare reaction-diffusion processes of the $A+A\to 0$ type on scale-free networks created with either the configuration model or the uncorrelated configuration model. We show via simulations that except for the difference in the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Lazaros K. Gallos , Panos Argyrakis

Adaptive physical and biological systems continually process fluctuating information from their environments. When the environment is nonstationary, inference itself becomes a nonequilibrium process with thermodynamic cost. We analyse a…

Statistical Mechanics · Physics 2026-03-23 Aditya Gupta

Diffusion models are loosely modelled based on non-equilibrium thermodynamics, where \textit{diffusion} refers to particles flowing from high-concentration regions towards low-concentration regions. In statistics, the meaning is quite…

Machine Learning · Computer Science 2023-12-19 Inga Strümke , Helge Langseth

A new simple model of diffusion of innovations in a social network with upgrading costs is introduced. Agents are characterized by a single real variable, their technological level. According to local information agents decide whether to…

Statistical Mechanics · Physics 2009-11-07 X. Guardiola , A. Diaz-Guilera , C. J. Perez , A. Arenas , M. Llas