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A model needs to make verifiable predictions to have any scientific value. In opinion dynamics, the study of how individuals exchange opinions with one another, there are many theoretical models which attempt to model opinion exchange, one…

Physics and Society · Physics 2023-01-11 Johnathan A. Adams , Gentry White , Robyn P. Araujo

Despite the prevalence of voting systems in the real world there is no consensus among researchers of how people vote strategically, even in simple voting settings. This paper addresses this gap by comparing different approaches that have…

Computer Science and Game Theory · Computer Science 2019-09-24 Roy Fairstein , Adam Lauz , Kobi Gal , Reshef Meir

We study the interacting quintessence model with two different types of interaction by introducing a general parameterization of the quintessence potentials. The form of the quintessence potentials is arbitrary as the recent cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-27 Nandan Roy , Kazuharu Bamba

Interactions between pieces of information (entities) play a substantial role in the way an individual acts on them: adoption of a product, the spread of news, strategy choice, etc. However, the underlying interaction mechanisms are often…

Machine Learning · Computer Science 2022-02-02 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

Our preferences depend on the circumstances in which we reveal them. We will introduce a dependency which allows us to illustrate the relation between the possibility of winning of particular candidates in a quantum election and the type of…

Quantum Physics · Physics 2015-05-27 Marcin Makowski , Edward W. Piotrowski

The notion of preferences plays an important role in many disciplines including service robotics which is concerned with scenarios in which robots interact with humans. These interactions can be favored by robots taking human preferences…

In the last decade, stochastic models have shown to be very useful for quantitative modelling of social processes. Here, a configurational master equation for the description of behavioral changes by pair interactions of individuals is…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

Diagrammatic models of feeding choices reveal fundamental robotic behaviors. Successful choices are reinforced by positive feedback, while unsuccessful ones by negative feedback. This paper will address robotic feeding by casually relating…

Robotics · Computer Science 2014-12-30 Christopher A. Tucker

This study examines interacting quintessence dark energy models and their observational constraints for a general parameterization of the quintessence potential, which encompasses a broad range of popular potentials. Four different forms of…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-25 Nandan Roy

We consider a version of the classical P\'olya urn scheme which incorporates innovations. The space $S$ of colors is an arbitrary measurable set. After each sampling of a ball in the urn, one returns $C$ balls of the same color and…

Probability · Mathematics 2022-11-17 Jean Bertoin

A recently proposed model of social interaction in voting is investigated by simplifying it down into a version that is more analytically tractable and which allows a mathematical analysis to be performed. This analysis clarifies the…

Physics and Society · Physics 2016-07-20 Luis F. Lafuerza , Louise Dyson , Bruce Edmonds , Alan J. McKane

Natural conversations between humans often involve a large number of non-verbal nuanced expressions, displayed at key times throughout the conversation. Understanding and being able to model these complex interactions is essential for…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Renke Wang , Ifeoma Nwogu

P\'olya urns are urns where at each unit of time a ball is drawn and replaced with some other balls according to its colour. We introduce a more general model: the replacement rule depends on the colour of the drawn ball and the value of…

Probability · Mathematics 2019-12-04 Cyril Banderier , Philippe Marchal , Michael Wallner

The issue of opinion sharing and formation has received considerable attention in the academic literature, and a few models have been proposed to study this problem. However, existing models are limited to the interactions among nearest…

Social and Information Networks · Computer Science 2024-08-15 Zuobai Zhang , Wanyue Xu , Zhongzhi Zhang , Guanrong Chen

Recent research focuses beyond recommendation accuracy, towards human factors that influence the acceptance of recommendations, such as user satisfaction, trust, transparency and sense of control.We present a generic interactive recommender…

Information Retrieval · Computer Science 2019-10-09 Oznur Alkan , Massimiliano Mattetti , Elizabeth M. Daly , Adi Botea , Inge Vejsbjerg

Generalized P\'olya urns with non-linear feedback are an established probabilistic model to describe the dynamics of growth processes with reinforcement, a generic example being competition of agents in evolving markets. It is well known…

Probability · Mathematics 2025-01-07 Thomas Gottfried , Stefan Grosskinsky

Though widely used in applications, reinforced random walk on graphs have never been the subject of a valid statistical inference. We develop in this paper a statistical framework for a general two-colored urn model. The probability to draw…

Statistics Theory · Mathematics 2016-10-05 Line Chloé Le Goff , Philippe Soulier

In this work, we introduce an extremely general model for a collection of innovation processes in order to model and analyze the interaction among them. We provide theoretical results, analytically proven, and we show how the proposed model…

Applications · Statistics 2025-06-11 Giacomo Aletti , Irene Crimaldi , Andrea Ghiglietti

We propose a new form of human-machine interaction. It is a pictorial game consisting of interactive rounds of creation between artists and a machine. They repetitively paint one after the other. At its rounds, the computer partially…

Graphics · Computer Science 2021-02-16 Vivien Cabannes , Thomas Kerdreux , Louis Thiry , Tina Campana , Charly Ferrandes

This is a research endeavor in two parts. We study a class of balanced urn schemes on balls of two colours (say white and black). At each drawing, a sample of size $m\ge 1$ is drawn from the urn, and ball addition rules are applied. We…

Probability · Mathematics 2015-04-01 Markus Kuba , Hosam M. Mahmoud
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