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Diversities have recently been developed as multiway metrics admitting clear and useful notions of hyperconvexity and tight span. In this note we consider the analytic properties of diversities, in particular the generalizations of uniform…

Metric Geometry · Mathematics 2013-11-19 Andrew Poelstra

We study a model of opinion formation where the opinions in conflict are not equivalent. This is the case when the subject of the decision is to respect a norm or a law. In such scenarios, one of the possible behaviors is to abide by the…

Physics and Society · Physics 2010-03-29 M. F. Laguna , G. Abramson , S. Risau-Gusman , J. R. Iglesias

In binary decision-making, individuals often choose either the rare or the common action. In the framework of evolutionary game theory, the best-response update rule can be used to model this dichotomy. Those who prefer the common action…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Azadeh Aghaeeyan , Pouria Ramazi

Many cultural traits characterizing intelligent behaviors are now thought to be transmitted through statistical learning, motivating us to study its effects on cultural evolution. We conduct a large-scale music data analysis and observe…

Physics and Society · Physics 2021-09-29 Eita Nakamura

Processes are a crucial artefact in organizations, since they coordinate the execution of activities so that products and services are provided. The use of models to analyse the underlying processes is a well-known practice. However, due to…

Artificial Intelligence · Computer Science 2019-12-13 Thomas Chatain , Mathilde Boltenhagen , Josep Carmona

Ordinal measurements are common outcomes in studies within psychology, as well as in the social and behavioral sciences. Choosing an appropriate regression model for analysing such data poses a difficult task. This paper aims to facilitate…

Methodology · Statistics 2026-03-03 Stefan Inerle , Markus Pauly , Moritz Berger

Despite popular media interest in uncovering the creative habits of successful people, there is a surprising paucity of empirical research on the diversity of tendencies and preferences people have when engaged in creative work. We…

Quantitative Methods · Quantitative Biology 2021-09-06 Eric Berlow , Spencer Canon , Kaustuv DeBiswas , David Gurman , Shawna Jacoby , Lizbet Simmons , Andy Walshe , Rich Williams , Tiffany Yuan , Mark Runco

Humans interact with each other on a daily basis by developing and maintaining various social norms and it is critical to form a deeper understanding of how such norms develop, how they change, and how fast they change. In this work, we…

Populations and Evolution · Quantitative Biology 2018-07-03 Soham De , Dana S. Nau , Xinyue Pan , Michele J. Gelfand

Contrast set consistency is a robustness measurement that evaluates the rate at which a model correctly responds to all instances in a bundle of minimally different examples relying on the same knowledge. To draw additional insights, we…

Computation and Language · Computer Science 2023-10-24 Jacob K. Johnson , Ana Marasović

Prediction of future observations is an important and challenging problem. The two mainstream approaches for quantifying prediction uncertainty use prediction regions and predictive distributions, respectively, with the latter believed to…

Statistics Theory · Mathematics 2022-06-13 Leonardo Cella , Ryan Martin

This paper is dedicated to a robust ordinal method for learning the preferences of a decision maker between subsets. The decision model, derived from Fishburn and LaValle (1996) and whose parameters we learn, is general enough to be…

Artificial Intelligence · Computer Science 2023-08-08 Hugo Gilbert , Mohamed Ouaguenouni , Meltem Ozturk , Olivier Spanjaard

Conformal prediction is a popular, modern technique for providing valid predictive inference for arbitrary machine learning models. Its validity relies on the assumptions of exchangeability of the data, and symmetry of the given model…

Methodology · Statistics 2023-03-20 Rina Foygel Barber , Emmanuel J. Candes , Aaditya Ramdas , Ryan J. Tibshirani

The pursuit of highest payoffs in evolutionary social dilemmas is risky and sometimes inferior to conformity. Choosing the most common strategy within the interaction range is safer because it ensures that the payoff of an individual will…

Physics and Society · Physics 2014-12-23 Attila Szolnoki , Matjaz Perc

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

We present a nonparametric framework to model a short sequence of probability distributions that vary both due to underlying effects of sequential progression and confounding noise. To distinguish between these two types of variation and…

Methodology · Statistics 2019-02-08 Jonas Mueller , Tommi Jaakkola , David Gifford

Anticonformity, behaving in deliberate opposition to the group of influence, has long been recognized as a distinct social response, differing both from conformity and from independence. While often treated as a source of noise or…

Physics and Society · Physics 2025-12-01 Angelika Abramiuk-Szurlej

The complex nature of organizational culture challenges our ability to infers its underlying dynamics from observational studies. Recent computational studies have adopted a distinct different view, where plausible mechanisms are proposed…

Physics and Society · Physics 2018-02-07 Christos Ellinas , Neil Allan , Anders Johansson

We study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors. Depending on this non-linearity in the voting…

Data Analysis, Statistics and Probability · Physics 2008-04-23 R. Lambiotte , S. Redner

Specially customised Entropies are widely applied in measuring the degree of uncertainties existing in the frame of discernment. However, all of these entropies regard the frame as a whole that has already been determined which dose not…

Artificial Intelligence · Computer Science 2021-02-26 Yuanpeng He

Decision-making individuals are typically either an imitator, who mimics the action of the most successful individual(s), a conformist (or coordinating individual), who chooses an action if enough others have done so, or a nonconformist (or…

Dynamical Systems · Mathematics 2022-02-11 Hien Le , Mohaddeseh Rajaee , Pouria Ramazi