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In this paper, we use tools from sheaf theory to model and analyze optimal network control problems and their associated discrete relaxations. We consider a general problem setting in which pieces of equipment and their causal relations are…

Algebraic Topology · Mathematics 2020-12-02 Griffin M. Kearney , Kevin F. Palmowski , Michael Robinson

Often exhibiting hierarchical and overlapping structures, communities or modular groups are fundamental and complex in network science. One of the most exploited tools to detect the mesoscopic structure is synchronization. Several phenomena…

Physics and Society · Physics 2018-07-05 Ren Ren , Jinliang Shao

Often in the setting of human-based interactions, the existence of a temporal hierarchy of information plays an important role in diffusion and opinion dynamics within communities. For example at the individual agent level, more recently…

Physics and Society · Physics 2021-01-27 Daniel Feinstein , Ebrahim Patel

This article presents a novel approach for learning low-dimensional distributed representations of users in online social networks. Existing methods rely on the network structure formed by the social relationships among users to extract…

Social and Information Networks · Computer Science 2017-10-23 Harvineet Singh , Amitabha Bagchi , Parag Singla

In this paper we examine the role of lies in human social relations by implementing some salient characteristics of deceptive interactions into an opinion formation model, so as to describe the dynamical behaviour of a social network more…

Physics and Society · Physics 2021-04-28 Rafael A. Barrio , Tzipe Govezensky , Robin Dunbar , Gerardo Iñiguez , Kimmo Kaski

Online debates involve a dynamic exchange of ideas over time, where participants need to actively consider their opponents' arguments, respond with counterarguments, reinforce their own points, and introduce more compelling arguments as the…

Computation and Language · Computer Science 2025-02-28 Quan Mai , Susan Gauch , Douglas Adams , Miaoqing Huang

Multilayer networks provide a more comprehensive framework for exploring real-world and engineering systems than traditional single-layer networks, consisting of multiple interacting networks. However, despite significant research in…

Optimization and Control · Mathematics 2024-11-12 C. D. Rodríguez-Camargo , A. F. Urquijo-Rodríguez , E. A. Mojica-Nava

We delve into the dynamics of opinions within a multiplex network using coordination games, where agents communicate either in a one-way or two-way interactions, and where a designated leader may be present. By employing graph theory and…

Systems and Control · Electrical Eng. & Systems 2024-02-16 Amirreza Talebi , Sayed Pedram Haeri Boroujeni , Abolfazl Razi

In human societies opinion formation is mediated by social interactions, consequently taking place on a network of relationships and at the same time influencing the structure of the network and its evolution. To investigate this…

Physics and Society · Physics 2012-05-22 Gerardo Iñiguez , János Kertész , Kimmo K. Kaski , R. A. Barrio

Information diffusion on social networks has been described as a collective outcome of threshold behaviors in the framework of threshold models. However, since the existing models do not take into account individuals' optimization problem,…

Physics and Society · Physics 2022-09-08 Teruyoshi Kobayashi

We propose a simple model to explore an educational phenomenon where the correct answer emerges from group discussion. We construct our model based on several plausible assumptions: (i) We tend to follow peers' opinions. However, if a…

Physics and Society · Physics 2025-05-27 Jibeom Seo , Beom Jun Kim

Agent-based models of opinion dynamics allow one to examine the spread of opinions between entities and to study phenomena such as consensus, polarization, and fragmentation. By studying a model of opinion dynamics on a social network, one…

Physics and Society · Physics 2023-03-22 Grace J. Li , Mason A. Porter

We present the first empirical derivation of a continuous-time stochastic model for real-world opinion dynamics. Using longitudinal social-media data to infer users opinion on a binary climate-change topic, we reconstruct the underlying…

Physics and Society · Physics 2026-05-06 Ixandra Achitouv , David Chavalarias , Raphael Fournier-S'niehotta

The modeling of opinion dynamics has seen much study in varying academic disciplines. Understanding the complex ways information can be disseminated is a complicated problem for mathematicians as well as social scientists. We present a…

Dynamical Systems · Mathematics 2023-09-29 David N. Reynolds , Francesco Tudisco

Multiplex networks describe systems whose interactions can be of different nature, and are fundamental to understand complexity of networks beyond the framework of simple graphs. Recently it has been pointed out that restricting the…

Physics and Society · Physics 2022-11-14 Reza Ghorbanchian , Vito Latora , Ginestra Bianconi

Detecting influential users, called the influence maximization problem on social networks, is an important graph mining problem with many diverse applications such as information propagation, market advertising, and rumor controlling. There…

Social and Information Networks · Computer Science 2022-03-23 Mehmet Emin Aktas , Esra Akbas , Ashley Hahn

The diffusion of ideas is often closely connected to the creation and diffusion of knowledge and to the technological evolution of society. Because of this, knowledge creation, exchange and its subsequent transformation into innovations for…

Physics and Society · Physics 2012-08-31 Nikolay K. Vitanov , Marcel R. Ausloos

Many inference tasks on knowledge graphs, including relation prediction, operate on knowledge graph embeddings -- vector representations of the vertices (entities) and edges (relations) that preserve task-relevant structure encoded within…

Artificial Intelligence · Computer Science 2026-01-19 John Cobb , Thomas Gebhart

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

Physics and Society · Physics 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

We present a novel software suite for social network modeling and opinion diffusion processes. Much research on social network science has assumed networks with static topologies. More recently, attention has been turned to networks that…

Social and Information Networks · Computer Science 2020-06-25 Patrick Shepherd , Mia Weaver , Judy Goldsmith