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We investigate a class of binary choice models with social interactions. We propose a unifying perspective that integrates economic models using a utility function and psychological models using an impact function. A general approach for…

The modeling of complex systems such as ecological or socio-economic systems can be very challenging. Although various modeling approaches exist, they are generally not compatible and mutually consistent, and empirical data often do not…

Physics and Society · Physics 2010-07-19 Dirk Helbing

In a meta-analysis, it is important to specify a model that adequately describes the effect-size distribution of the underlying population of studies. The conventional normal fixed-effect and normal random-effects models assume a normal…

Methodology · Statistics 2013-10-21 George Karabatsos , Elizabeth Talbott , Stephen G. Walker

We propose Bayesian model averaging (BMA) as a method for postprocessing the results of model-based clustering. Given a number of competing models, appropriate model summaries are averaged, using the posterior model probabilities, instead…

Computation · Statistics 2015-07-01 Niamh Russell , Thomas Brendan Murphy , Adrian E Raftery

This paper uses a minimum divergence framework to introduce a new way of calculating model weights that can be used to average probabilistic predictions from statistical and machine learning models. The method is general and can be applied…

Machine Learning · Statistics 2026-04-28 Olav Benjamin Vassend

The multivariate normal linear model is one of the most widely employed models for statistical inference in applied research. Special cases include (multivariate) t testing, (M)AN(C)OVA, (multivariate) multiple regression, and repeated…

Methodology · Statistics 2021-03-15 J. Mulder , H. Hoijtink , X. Gu

Confirmation bias is a cognitive bias that adversely affects management decisions, and mathematical modelling is an aid to its detailed understanding. Bias in opinion update about the value of a parameter is modelled here assuming that…

Other Statistics · Statistics 2022-02-08 Rose D Baker

Statistical extreme value theory is concerned with the use of asymptotically motivated models to describe the extreme values of a process. A number of commonly used models are valid for observed data that exceed some high threshold.…

Methodology · Statistics 2014-12-10 J. Lee , Y. Fan , S. A. Sisson

In the social sciences we are often interested in comparing models specified by parametric equality or inequality constraints. For instance, when examining three group means $\{ \mu_1, \mu_2, \mu_3\}$ through an analysis of variance…

Methodology · Statistics 2025-01-08 Guido Consonni , Roberta Paroli

ML models have errors when used for predictions. The errors are unknown but can be quantified by model uncertainty. When multiple ML models are trained using the same training points, their model uncertainties may be statistically…

Machine Learning · Statistics 2025-09-23 Xiaoping Du

When random effects are correlated with sample design variables, the usual approach of employing individual survey weights (constructed to be inversely proportional to the unit survey inclusion probabilities) to form a pseudo-likelihood no…

Methodology · Statistics 2021-08-26 Terrance D. Savitsky , Matthew R. Williams

This paper provides a review of model selection and model averaging methods for multinomial probit models estimated using the MACML approach. The proposed approaches are partitioned into test based methods (mostly derived from the…

Methodology · Statistics 2017-04-04 Manuel Batram , Dietmar Bauer

This paper explores the versatility and depth of Bayesian modeling by presenting a comprehensive range of applications and methods, combining Markov chain Monte Carlo (MCMC) techniques and variational approximations. Covering topics such as…

Applications · Statistics 2025-02-18 Yifei Yan , Juan Sosa , Carlos A. Martínez

Mathematical models are indispensable to the system biology toolkit for studying the structure and behavior of intracellular signaling networks. A common approach to modeling is to develop a system of equations that encode the known biology…

Quantitative Methods · Quantitative Biology 2024-06-18 Nathaniel Linden-Santangeli , Jin Zhang , Boris Kramer , Padmini Rangamani

Robust Bayesian models are appealing alternatives to standard models, providing protection from data that contains outliers or other departures from the model assumptions. Historically, robust models were mostly developed on a case-by-case…

Machine Learning · Statistics 2016-09-08 Chong Wang , David M. Blei

Model explanations can be valuable for interpreting and debugging predictive models. We study a specific kind called Concept Explanations, where the goal is to interpret a model using human-understandable concepts. Although popular for…

Machine Learning · Computer Science 2024-04-08 Vihari Piratla , Juyeon Heo , Katherine M. Collins , Sukriti Singh , Adrian Weller

Many pre-trained models (PTMs) are available in modern applications. Because different PTMs are often trained on different datasets, their performances can vary substantially for different new tasks, and the ranking of the candidates may…

Methodology · Statistics 2026-05-14 Ziwen Gao , Baihua He , Yuhong Yang

Regression models are essential for a wide range of real-world applications. However, in practice, target values are not always precisely known; instead, they may be represented as intervals of acceptable values. This challenge has led to…

Machine Learning · Computer Science 2025-12-08 Tung L Nguyen , Toby Dylan Hocking

Compartmental epidemic models have been widely used for predicting the course of epidemics, from estimating the basic reproduction number to guiding intervention policies. Studies commonly acknowledge these models' assumptions but less…

Populations and Evolution · Quantitative Biology 2022-11-23 Alexander F. Siegenfeld , Pratyush K. Kollepara , Yaneer Bar-Yam

Statistics is sometimes described as the science of reasoning under uncertainty. Statistical models provide one view of this uncertainty, but what is frequently neglected is the 'invisible' portion of uncertainty: that assumed not to exist…

Methodology · Statistics 2026-03-18 Oliver L. Pescott , Robin J. Boyd , Gary D. Powney , Gavin B. Stewart