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Related papers: Spatially-invariant opinion dynamics on the circle

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This review outlines the major approaches to modelling opinion formation and manipulation in mathematics and computer science. Key tools such as ordinary and partial differential equations, stochastic models, control theory, and interaction…

Optimization and Control · Mathematics 2026-01-13 Luisa Estrada , Sasha Glendinning , Andrew Nugent

This article starts by introducing a new theoretical framework to model spatial systems which is obtained from the framework of interacting particle systems by replacing the traditional graphical structure that defines the network of…

Probability · Mathematics 2015-06-12 Nicolas Lanchier , Jared Neufer

Opinion dynamics, the study of how individual beliefs and collective public opinion evolve, is a fertile domain for applying statistical physics to complex social phenomena. Like physical systems, societies exhibit macroscopic regularities…

For safe operation, a robot must be able to avoid collisions in uncertain environments. Existing approaches for motion planning under uncertainties often assume parametric obstacle representations and Gaussian uncertainty, which can be…

Robotics · Computer Science 2023-12-04 Ralf Römer , Armin Lederer , Samuel Tesfazgi , Sandra Hirche

This paper considers the problem of robot motion planning in a workspace with obstacles for systems with uncertain 2nd-order dynamics. In particular, we combine closed form potential-based feedback controllers with adaptive control…

Robotics · Computer Science 2020-05-27 Christos K. Verginis , Dimos V. Dimarogonas

Under certain circumstances such as lack of information or bounded rationality, human players can take decisions on which strategy to choose in a game on the basis of simple opinions. These opinions can be modified after each round by…

Physics and Society · Physics 2015-06-05 Floriana Gargiulo , Jose J. Ramasco

Social media and social networking sites have become a global pinboard for exposition and discussion of news, topics, and ideas, where social media users often update their opinions about a particular topic by learning from the opinions…

Social and Information Networks · Computer Science 2016-05-25 Abir De , Isabel Valera , Niloy Ganguly , Sourangshu Bhattacharya , Manuel Gomez Rodriguez

Model-based approaches bear great promise for decision making of agents interacting with the physical world. In the context of spatial environments, different types of problems such as localisation, mapping, navigation or autonomous…

Machine Learning · Statistics 2019-06-21 Atanas Mirchev , Baris Kayalibay , Maximilian Soelch , Patrick van der Smagt , Justin Bayer

We propose an interdisciplinary framework that combines Bayesian predictive inference, a well-established tool in Machine Learning, with Formal Methods rooted in the computer science community. Bayesian predictive inference allows for…

Computation · Statistics 2025-08-21 Laura Vana , Ennio Visconti , Laura Nenzi , Annalisa Cadonna , Gregor Kastner

We introduce multi-population opinion dynamics models linked to the bounded confidence model, aiming to explore how interactions between individuals contribute to the emergence of consensus, polarization, or fragmentation. Existing models…

Dynamical Systems · Mathematics 2023-11-29 Tigran Bakaryan , Yuliang Gu , Naira Hovakimyan , Tarek Abdelzaher , Christian Lebiere

To model the interdependent couplings of multiple topics, we develop a set of rules for opinion updates of a group of agents. The rules are used to design or assign values to the elements of interdependent weighting matrices. The…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Hyo-Sung Ahn , Quoc Van Tran , Minh Hoang Trinh , Kevin L. Moore , Mengbin Ye , Ji Liu

Autonomous robots operating in complex, unstructured environments face significant challenges due to latent, unobserved factors that obscure their understanding of both their internal state and the external world. Addressing this challenge…

Robotics · Computer Science 2026-04-02 Alejandro Murillo-Gonzalez , Lantao Liu

A large part of the interest in model-based reinforcement learning derives from the potential utility to acquire a forward model capable of strategic long term decision making. Assuming that an agent succeeds in learning a useful predictive…

Machine Learning · Computer Science 2021-06-29 Alvaro Ovalle , Simon M. Lucas

We focus on robot navigation in crowded environments. The challenge of predicting the motion of a crowd around a robot makes it hard to ensure human safety and comfort. Recent approaches often employ end-to-end techniques for robot control…

For a group of autonomous communicating agents, the ability to distinguish a meaningful input from disturbance, and come to collective agreement or disagreement in response to that input, is paramount for carrying out coordinated…

Optimization and Control · Mathematics 2023-11-07 Anastasia Bizyaeva , Timothy Sorochkin , Alessio Franci , Naomi Ehrich Leonard

In the age of technology, individuals accelerate their biased gathering of information which in turn leads to a population becoming extreme and more polarized. Here we study a partial differential equation model for opinion dynamics that…

Physics and Society · Physics 2024-02-08 Christian Koertje , Hiroki Sayama

This paper addresses the problem of adaptively controlling the bias parameter in nonlinear opinion dynamics (NOD) to allocate agents into groups of arbitrary sizes for the purpose of maximizing collective rewards. In previous work, an…

Systems and Control · Electrical Eng. & Systems 2024-12-19 Tyler M. Paine , Anastasia Bizyaeva , Michael R. Benjamin

The inference of outcomes in dynamic processes from structural features of systems is a crucial endeavor in network science. Recent research has suggested a machine learning-based approach for the interpretation of dynamic patterns emerging…

Physics and Society · Physics 2022-11-15 Aruane M. Pineda , Caroline L. Alves , Colm Connaughton , Francisco A. Rodrigues

We present an optimization-based method to plan the motion of an autonomous robot under the uncertainties associated with dynamic obstacles, such as humans. Our method bounds the marginal risk of collisions at each point in time by…

Robotics · Computer Science 2021-03-24 O. de Groot , B. Brito , L. Ferranti , D. Gavrila , J. Alonso-Mora

Robotic navigation has historically struggled to reconcile reactive, sensor-based control with the decisive capabilities of model-based planners. This duality becomes critical when the absence of a predominant option among goals leads to…

Robotics · Computer Science 2026-02-06 Chuwei Wang , Eduardo Sebastián , Amanda Prorok , Anastasia Bizyaeva