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This article presents a theoretical investigation of computation beyond the Turing barrier from emergent behavior in distributed systems. In particular, we present an algorithmic network that is a mathematical model of a networked…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-08 Felipe S. Abrahão , Ítala M. Loffredo D'Ottaviano , Klaus Wehmuth , Francisco Antônio Dória , Artur Ziviani

We achieve two primary goals in this work. First, we propose a flexible algorithm that can simulate various scenarios of state/government intervention. Secondly, we analyze the scenario exhibiting the critical behavior of the market of…

Physics and Society · Physics 2021-06-30 Michal Chorowski , Ryszard Kutner

Sociotechnical systems are complex systems, where nonlinear interaction among different players can obscure causal relationships. The absence of mechanisms to help us understand how to create a change in the system makes it hard to manage…

Artificial Intelligence · Computer Science 2018-02-28 Jiangjun Tang , Eleni Petraki , Hussein Abbass

We review and conceptualize recent advances in causal inference under network interference, drawing on a complex and diverse body of work that ranges from causal inference, statistical network analysis, economics, the health sciences, and…

Methodology · Statistics 2025-08-12 Subhankar Bhadra , Michael Schweinberger

Modeling the complex interactions of systems of particles or agents is a fundamental scientific and mathematical problem that is studied in diverse fields, ranging from physics and biology, to economics and machine learning. In this work,…

Machine Learning · Statistics 2020-10-09 Jason Miller , Sui Tang , Ming Zhong , Mauro Maggioni

In this paper, we introduce the Iterative Persuasion-Polarization (IPP) model to study the dynamics of opinion formation and change within a population. The IPP model integrates mechanisms of persuasion and repulsion, where individuals…

Physics and Society · Physics 2024-08-02 Fei Cao , Stephanie Reed

We introduce a model for innovation-, evolution- and opinion dynamics whose spreading is dictated by unanimity rules, i.e. a node will change its (binary) state only if all of its neighbours have the same corresponding state. It is shown…

Physics and Society · Physics 2008-12-01 Renaud Lambiotte , Stefan Thurner , Rudolf Hanel

Matching mechanisms play a central role in operations management across diverse fields including education, healthcare, and online platforms. However, experimentally comparing a new matching algorithm against a status quo presents some…

Methodology · Statistics 2026-01-30 Chonghuan Wang

Online social media have become an integral part of our social beings. Analyzing conversations in social media platforms can lead to complex probabilistic models to understand social interaction networks. In this paper, we present a…

Social and Information Networks · Computer Science 2017-04-07 Arif Mohaimin Sadri , Samiul Hasan , Satish V. Ukkusuri

Motivated by the literature on opinion dynamics and evolutionary game theory, we propose a novel mathematical framework to model the intertwined coevolution of opinions and decision-making in a complex social system. In the proposed…

Social and Information Networks · Computer Science 2021-03-02 Lorenzo Zino , Mengbin Ye , Ming Cao

Many empirical networks are intrinsically pluralistic, with interactions occurring within groups of arbitrary agents. Then the agent in the network can be influenced by types of neighbors, common examples include similarity, opposition, and…

Physics and Society · Physics 2020-05-12 Shuo Liu , Xiwang Guan , Shuangling Luo , Haoxiang Xia

Identifying central entities and interactions is a fundamental problem in network science. While well-studied for graphs (pairwise relations), many biological and social systems exhibit higher-order interactions best modeled by hypergraphs.…

Physics and Society · Physics 2025-12-02 Jaewan Chun , Fanchen Bu , Yeongho Kim , Atsushi Miyauchi , Francesco Bonchi , Kijung Shin

We consider experiments for comparing treatments using units that are ordered linearly over time or space within blocks. In addition to the block effect, we assume that a trend effect influences the response. The latter is modeled as a…

Statistics Theory · Mathematics 2008-12-18 Dibyen Majumdar , John Stufken

The COVID-19 pandemic has witnessed the role of online social networks (OSNs) in the spread of infectious diseases. The rise in severity of the epidemic augments the need for proper guidelines, but also promotes the propagation of fake…

Dynamical Systems · Mathematics 2024-06-11 Madhu Dhiman , Chen Peng , Veeraruna Kavitha , Quanyan Zhu

We study the mean-field limit of a generic class of dynamic co-evolving latent space networks motivated by the social and opinion dynamics literature. Such models include $n$ agents, whose opinions are given by latent stochastic processes,…

Probability · Mathematics 2026-04-24 Ankan Ganguly , Konstantinos Spiliopoulos , Daniel Sussman

Functioning and interaction of distributed devices and concurrent algorithms are analyzed in the context of the theory of algorithms. Our main concern here is how and under what conditions algorithmic interactive devices can be more…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-10-09 Mark Burgin

In this paper, we tackle the problem of innovation spreading from a modeling point of view. We consider a networked system of individuals, with a competition between two groups. We show its relation to the innovation spreading issues. We…

Physics and Society · Physics 2010-07-07 Krzysztof Suchecki , Andrea Scharnhorst , Janusz A. Holyst

This work deals with a system of interacting reinforced stochastic processes, where each process $X^j=(X_{n,j})_n$ is located at a vertex $j$ of a finite weighted direct graph, and it can be interpreted as the sequence of "actions" adopted…

Probability · Mathematics 2020-09-10 Giacomo Aletti , Irene Crimaldi , Andrea Ghiglietti

Interpersonal influence estimation from empirical data is a central challenge in the study of social structures and dynamics. Opinion dynamics theory is a young interdisciplinary science that studies opinion formation in social networks and…

Systems and Control · Electrical Eng. & Systems 2020-07-27 Chiara Ravazzi , Fabrizio Dabbene , Constantino Lagoa , Anton V. Proskurnikov

We consider a coupled Polya's urn scheme for social dynamics on networks. Agents hold continuum-valued opinions on a two-state issue and randomly converse with their neighbors on a graph, agreeing on one of the two states. The probability…

Probability · Mathematics 2023-07-04 Andrew Melchionna
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