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Researchers are often challenged with assessing the impact of an intervention on an outcome of interest in situations where the intervention is non-randomised, the intervention is only applied to one or few units, the intervention is…

Recent work in modeling the coupling between disease dynamics and dynamic social network geometry has led to the examination of how human interactions force a rewiring of connections in a population. Rewiring of the network may be…

Statistical Mechanics · Physics 2009-09-29 Leah B. Shaw , Ira B. Schwartz

In order to model an epidemic, different approaches can be adopted. Mainly, the deterministic approach and the stochastic one. Recently, a large amount of literature has been published using the two approaches. The aim of this paper is to…

Populations and Evolution · Quantitative Biology 2023-01-30 Mohamed Mehdaoui

We investigate, through a kinetic-exchange model, the impact that an external field, like advertising and propaganda, has on opinion dynamics. We address the situations where two opposite alternatives can be selected but the possibility of…

Statistical Mechanics · Physics 2020-04-22 Francisco Freitas , Allan R. Vieira , Celia Anteneodo

Modal regression has emerged as a flexible alternative to classical regression models when the conditional mean or median are unable to adequately capture the underlying relation between a response and a predictor variable. This approach is…

Methodology · Statistics 2025-04-08 Ana Pérez-González , Tomás R. Cotos-Yáñez , Rosa M. Crujeiras

Spurious correlations allow flexible models to predict well during training but poorly on related test distributions. Recent work has shown that models that satisfy particular independencies involving correlation-inducing \textit{nuisance}…

Machine Learning · Computer Science 2022-06-10 Mark Goldstein , Jörn-Henrik Jacobsen , Olina Chau , Adriel Saporta , Aahlad Puli , Rajesh Ranganath , Andrew C. Miller

Interaction information is one of the multivariate generalizations of mutual information, which expresses the amount information shared among a set of variables, beyond the information, which is shared in any proper subset of those…

Artificial Intelligence · Computer Science 2017-02-01 AmirEmad Ghassami , Negar Kiyavash

Imitative and contrarian behaviors are the two typical opposite attitudes of investors in stock markets. We introduce a simple model to investigate their interplay in a stock market where agents can take only two states, bullish or bearish.…

Statistical Mechanics · Physics 2008-12-02 A. Corcos , J. -P. Eckmann , A. Malaspinas , Y. Malevergne , D. Sornette

We propose a dynamical model for group formation and switching behavior in systems where each group competes for members through attraction functions that are inversely proportional to their current sizes. This attraction is modulated by…

Dynamical Systems · Mathematics 2026-03-12 Samit Ghosh

In paired comparison experiments respondents usually evaluate pairs of competing options. For this situation we introduce an appropriate model and derive optimal designs in the presence of second-order interactions when all attributes are…

Methodology · Statistics 2019-01-24 Eric Nyarko , Rainer Schwabe

Direct reciprocity facilitates the evolution of cooperation when individuals interact repeatedly. Most previous studies on direct reciprocity implicitly assume compulsory interactions. Yet, interactions are often voluntary in human…

Physics and Society · Physics 2023-11-17 Fang Chen , Lei Zhou , Long Wang

Exposure mappings are widely used to model potential outcomes in the presence of interference, where each unit's outcome may depend not only on its own treatment, but also on the treatment of other units as well. However, in practice these…

Methodology · Statistics 2018-07-02 David Choi

A model of incentive salience as a function of stimulus value and interoceptive state has been previously proposed. In that model, the function differs depending on whether the stimulus is appetitive or aversive; it is multiplicative for…

Neurons and Cognition · Quantitative Biology 2018-12-21 Benjamin J. Smith , Stephen J. Read

The study of almost surely discrete random probability measures is an active line of research in Bayesian nonparametrics. The idea of assuming interaction across the atoms of the random probability measure has recently spurred significant…

Statistics Theory · Mathematics 2025-04-25 Mario Beraha , Raffaele Argiento , Federico Camerlenghi , Alessandra Guglielmi

Many disease models focus on characterizing the underlying transmission mechanism but make simple, possibly naive assumptions about how infections are reported. In this note, we use a simple deterministic Susceptible-Infected-Removed (SIR)…

Populations and Evolution · Quantitative Biology 2019-11-28 Sang Woo Park , Benjamin M. Bolker

In a recent paper Birke and Bissantz (2008) considered the problem of nonparametric estimation in inverse regression models with convolution-type operators. For multivariate predictors nonparametric methods suffer from the curse of…

Statistics Theory · Mathematics 2013-03-19 T. Hildebrandt , N. Bissantz , H. Dette

We study the evolution of two mutually interacting games with both pairwise games as well as the public goods game on different topologies. On 2d square lattices, we reveal that the game-game interaction can promote the cooperation…

Physics and Society · Physics 2022-05-06 Rizhou Liang , Qinqin Wang , Jiqiang Zhang , Guozhong Zheng , Lin Ma , Li Chen

We consider an SLIARS mathematical epidemiology model including intervention in the form of vaccination and treatment. Contrary to classical models, it is assumed that treatment doses can be limited in availability. Mathematically, we show…

Nguyen et al. [1] introduced altruistic hedonic games in which agents' utilities depend not only on their own preferences but also on those of their friends in the same coalition. We propose to extend their model to coalition formation…

Computer Science and Game Theory · Computer Science 2023-01-16 Anna Maria Kerkmann , Simon Cramer , Jörg Rothe

From pathogens and computer viruses to genes and memes, contagion models have found widespread utility across the natural and social sciences. Despite their success and breadth of adoption, the approach and structure of these models remain…

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