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Related papers: D-MODD: A Diffusion Model of Opinion Dynamics Deri…

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We introduce a general contagion-like model for competing opinions that includes dynamic resistance to alternative opinions. We show that this model can describe candidate vote distributions, spatial vote correlations, and a slow approach…

Physics and Society · Physics 2016-03-08 Keith A. Burghardt , William Rand , Michelle Girvan

We analyze the time reversed dynamics of generative diffusion models. If the exact empirical score function is used in a regime of large dimension and exponentially large number of samples, these models are known to undergo transitions…

Statistics Theory · Mathematics 2025-11-17 Anand Jerry George , Rodrigo Veiga , Nicolas Macris

Much research has been done on studying the diffusion of ideas or technologies on social networks including the \textit{Influence Maximization} problem and many of its variations. Here, we investigate a type of inverse problem. Given a…

Social and Information Networks · Computer Science 2014-04-28 Georgios Askalidis , Randall A. Berry , Vijay G. Subramanian

Probabilistic generative models based on measure transport, such as diffusion and flow-based models, are often formulated in the language of Markovian stochastic dynamics, where the choice of the underlying process impacts both algorithmic…

Machine Learning · Computer Science 2026-04-06 Yinuo Ren , Grant M. Rotskoff , Lexing Ying

We use Gaussian mixtures to model formation and evolution of multi-modal beliefs and opinion uncertainty across social networks. In this model, opinions evolve by Bayesian belief update when incorporating exogenous factors (signals from…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Yijun Chen , Farhad Farokhi , Yutong Bu , Nicholas Kah Yean Low , Jarra Horstman , Julian Greentree , Robin Evans , Andrew Melatos

Continuous diffusion models have demonstrated remarkable performance in data generation across various domains, yet their efficiency remains constrained by two critical limitations: (1) the local adjacency structure of the forward Markov…

Machine Learning · Statistics 2025-05-29 Xunpeng Huang , Yingyu Lin , Nikki Lijing Kuang , Hanze Dong , Difan Zou , Yian Ma , Tong Zhang

We study opinion dynamics on networks with a nontrivial community structure, assuming individuals can update their binary opinion as the result of the interactions with an external influence with strength $h\in [0,1]$ and with other…

Probability · Mathematics 2023-06-14 Simone Baldassarri , Anna Gallo , Vanessa Jacquier , Alessandro Zocca

A variety of enhanced statistical and numerical methods are now routinely used to extract comprehensible and relevant thermodynamic information from the vast amount of complex, high-dimensional data obtained from intensive molecular…

Soft Condensed Matter · Physics 2020-10-14 Francois Sicard , Vladimir Koskin , Alessia Annibale , Edina Rosta

We investigate opinion dynamics and information spreading on networks under the influence of content filtering technologies. The filtering mechanism, present in many online social platforms, reduces individuals' exposure to disagreeing…

Physics and Society · Physics 2024-01-26 Antonio F. Peralta , János Kertész , Gerardo Iñiguez

Many real-world processes evolve in cascades over complex networks, whose topologies are often unobservable and change over time. However, the so-termed adoption times when blogs mention popular news items, individuals in a community catch…

Social and Information Networks · Computer Science 2013-09-30 Brian Baingana , Gonzalo Mateos , Georgios B. Giannakis

Spreading processes play an increasingly important role in modeling for diffusion networks, information propagation, marketing and opinion setting. We address the problem of learning of a spreading model such that the predictions generated…

Social and Information Networks · Computer Science 2021-07-27 Mateusz Wilinski , Andrey Y. Lokhov

Misleading newsletters can shape individuals' perceptions, and pose a threat to societies; as we witnessed by lowering the severity of follow-up stay-at-home orders and burdening a significant challenge to the fight against COVID-19. In…

Physics and Society · Physics 2024-12-23 Lucila G. Alvarez-Zuzek , Lucio La Cava , Jelena Grujic , Riccardo Gallotti

A current paradigm in computer simulation studies of social sciences problems by physicists is the emergence of consensus. The question is to establish when the dynamics of a set of interacting agents that can choose among several options…

Physics and Society · Physics 2007-09-25 Maxi San Miguel , Víctor M. Eguíluz , Raúl Toral , Konstantin Klemm

Among different aspects of social networks, dynamics have been proposed to simulate how opinions can be transmitted. In this study, we propose a model that simulates the communication in an online social network, in which the posts are…

Social and Information Networks · Computer Science 2022-01-11 Henrique F. de Arruda , Felipe M. Cardoso , Guilherme F. de Arruda , Alexis R. Hernández , Luciano da F. Costa , Yamir Moreno

In this paper we propose and investigate a multi-dimensional opinion dynamics model where people are characterised by both opinions and importance weights across these opinions. Opinion changes occur through binary interactions, with a…

Physics and Society · Physics 2026-01-12 Hanna Bartel , Martin Burger , Marie-Therese Wolfram

In this paper, we present a novel model to characterize individual tendencies in repeated decision-making scenarios, with the goal of designing model-based control strategies that promote virtuous choices amidst social and external…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Chiara Ravazzi , Valentina Breschi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

We investigate the statistical accuracy of temporally interpolated spatiotemporal flow sequences between sparse, decorrelated snapshots of turbulent flow fields using conditional Denoising Diffusion Probabilistic Models (DDPMs). The…

Spatiotemporal data analysis is pivotal across various domains, such as transportation, meteorology, and healthcare. The data collected in real-world scenarios are often incomplete due to device malfunctions and network errors.…

Machine Learning · Computer Science 2024-03-25 Yakun Chen , Kaize Shi , Zhangkai Wu , Juan Chen , Xianzhi Wang , Julian McAuley , Guandong Xu , Shui Yu

This paper investigates an optimal control problem for an adoption-opinion model that couples opinion dynamics with a compartmental adoption framework on a multilayer network to study the diffusion of sustainable behaviors. Adoption evolves…

Systems and Control · Electrical Eng. & Systems 2026-01-26 Martina Alutto , Qiulin Xu , Fabrizio Dabbene , Hideaki Ishii , Chiara Ravazzi

We introduce a constructive framework to learn effective Langevin equations from stationary time series. Unlike conventional approaches that require iterative calibration to match target statistics, our construction guarantees the observed…

Chaotic Dynamics · Physics 2026-02-16 Ludovico Theo Giorgini
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