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This paper is concerned with the probability of consensus in a multivariate, spatially explicit version of the Hegselmann-Krause model for the dynamics of opinions. Individuals are located on the vertices of a finite connected graph…

Probability · Mathematics 2022-04-27 Nicolas Lanchier , Hsin-Lun Li

We consider solving distributed consensus optimization problems over multi-agent networks. Current distributed methods fail to capture the heterogeneity among agents' local computation capacities. We propose DISH as a distributed hybrid…

Optimization and Control · Mathematics 2023-08-03 Xiaochun Niu , Ermin Wei

Hashing has been widely used for large-scale search due to its low storage cost and fast query speed. By using supervised information, supervised hashing can significantly outperform unsupervised hashing. Recently, discrete supervised…

Information Retrieval · Computer Science 2018-10-17 Qing-Yuan Jiang , Xue Cui , Wu-Jun Li

We present NearBucket-LSH, an effective algorithm for similarity search in large-scale distributed online social networks organized as peer-to-peer overlays. As communication is a dominant consideration in distributed systems, we focus on…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-24 Naama Kraus , David Carmel , Idit Keidar , Meni Orenbach

Understanding how opinions spread through a community or how consensus emerges in noisy environments can have a significant impact on our comprehension of social relations among individuals. In this work a model for the dynamics of opinion…

Physics and Society · Physics 2009-11-13 V. Schwammle , M. C. Gonzalez , A. A. Moreira , J. S. Jr. Andrade , H. J. Herrmann

Gossip algorithms are widely used to solve the distributed consensus problem, but issues can arise when nodes receive multiple signals either at the same time or before they are able to finish processing their current work load.…

Systems and Control · Computer Science 2013-01-15 Christopher D. Hollander , Annie S. Wu

A noncooperative differential (dynamic) game model of opinion dynamics is proposed. In this game, the agents' motives are shaped by their expectations of the nature of others' opinions as well as how susceptible they are to get influenced…

Optimization and Control · Mathematics 2020-02-25 Muhammad Umar B. Niazi , Arif Bülent Özgüler

Consensus protocols play an important role in the study of distributed algorithms. In this paper, we study the effect of bias on two popular consensus protocols, namely, the {\em voter rule} and the {\em 2-choices rule} with binary…

Probability · Mathematics 2023-02-17 Oindrila Deb , Arpan Mukhopadhyay

We propose a microscopic model to describe how individual opinions shared between interacting agents initiate excessive collective expectations about a new idea or an innovation, followed by a swift collapse towards a dramatic collective…

Adaptation and Self-Organizing Systems · Physics 2019-08-15 Fariba Hashemi , Olivier Gallay , Max-Olivier Hongler

We exploit the core-periphery structure and the strong homophilic properties of online social networks to develop faster and more accurate algorithms for user interest prediction. The core of modern social networks consists of relatively…

Social and Information Networks · Computer Science 2021-07-09 Marios Papachristou , Dimitris Fotakis

Dynamic social opinion models have been widely studied on undirected networks, and most of them are based on spin interaction models that produce a consensus. In reality, however, many networks such as Twitter and the World Wide Web are…

Physics and Society · Physics 2015-06-19 Bo Qu , Qian Li , Shlomo Havlin , H. Eugene Stanley , Huijuan Wang

Most people simultaneously belong to several distinct social networks, in which their relations can be different. They have opinions about certain topics, which they share and spread on these networks, and are influenced by the opinions of…

Social and Information Networks · Computer Science 2017-06-12 Alexandre Reiffers-Masson , Vincent Labatut

In this paper, a model for a spatial network evolution based on a Metropolis simulation is presented. The model uses an energy function that depends both on the distance between the nodes and the stated preferences. The agents influence…

Physics and Society · Physics 2019-10-23 André C. R. Martins

Social networks have provided a platform for the effective exchange of ideas or opinions but also served as a hotbed of polarization. While much research attempts to explore different causes of opinion polarization, the effect of perception…

Physics and Society · Physics 2023-05-12 Hao Yu , Bin Xue , Yanpeng Zhu , Jianlin Zhang , Run-Ran Liu , Yu Liu , Fanyuan Meng

We propose a nonlinear voter model to study the emergence of global consensus in opinion dynamics. In our model, agent $i$ agrees with one of binary opinions with the probability that is a power function of the number of agents holding this…

Applications · Statistics 2011-12-30 Han-Xin Yang , Wen-Xu Wang , Ying-Cheng Lai , Bing-Hong Wang

The adaptive voter model has been widely studied as a conceptual model for opinion formation processes on time-evolving social networks. Past studies on the effect of zealots, i.e. nodes aiming to spread their fixed opinion throughout the…

Physics and Society · Physics 2017-12-06 Pascal P. Klamser , Marc Wiedermann , Jonathan F. Donges , Reik V. Donner

In this paper, we study the online collaborative content caching problem from network economics point of view. The network consists of small cell base stations (SCBSs) with limited cache capacity and a macrocell base station (MCBS). SCBSs…

Networking and Internet Architecture · Computer Science 2019-08-01 Xinan Yang , Nikolaos Thomos

Inspired by the famous Target Set Selection problem, we propose a new discrete model to simultaneously spread two opinions within a social network and perform an initial study of its complexity. Here, we are given a social network, a…

Data Structures and Algorithms · Computer Science 2025-06-23 Dušan Knop , Šimon Schierreich , Ondřej Suchý

Given a network $G=(V,E)$, where each node $v$ is associated with a vector $\boldsymbol{p}_v \in \mathbb{R}^d$ representing its opinion about $d$ different topics, how can we uncover subsets of nodes that not only exhibit exceptionally high…

Social and Information Networks · Computer Science 2024-12-17 Tianyi Chen , Atsushi Miyauchi , Charalampos E. Tsourakakis

Individuals who interact with each other in social networks often exchange ideas and influence each other's opinions. A popular approach to study the spread of opinions on networks is by examining bounded-confidence models (BCMs), in which…

Physics and Society · Physics 2022-11-30 Unchitta Kan , Michelle Feng , Mason A. Porter
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