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Generalized additive models (GAMs) are flexible non-linear regression models, which can be fitted efficiently using the approximate Bayesian methods provided by the mgcv R package. While the GAM methods provided by mgcv are based on the…

Methodology · Statistics 2020-07-08 Matteo Fasiolo , Simon N. Wood , Margaux Zaffran , Raphaël Nedellec , Yannig Goude

Nonlinear relationships between covariates and a response variable of interest are frequently encountered in animal science research. Within statistical models, these nonlinear effects have, traditionally, been handled using a range of…

Applications · Statistics 2025-10-28 Gavin L. Simpson

Generalized additive models (GAMs) are a commonly used, flexible framework applied to many problems in statistical ecology. GAMs are often considered to be a purely frequentist framework (`generalized linear models with wiggly bits'),…

Methodology · Statistics 2025-01-27 David L. Miller

Generalized additive models (GAMs) provide a way to blend parametric and non-parametric (function approximation) techniques together, making them flexible tools suitable for many modeling problems. For instance, GAMs can be used to…

Methodology · Statistics 2023-03-07 Antti Solonen , Stratos Staboulis

Regression models that incorporate smooth functions of predictor variables to explain the relationships with a response variable have gained widespread usage and proved successful in various applications. By incorporating smooth functions…

Computation · Statistics 2024-03-19 Natalya Pya Arnqvist

The cgam package contains routines to fit the generalized additive model where the components may be modeled with shape and smoothness assumptions. The main routine is cgam and nineteen symbolic routines are provided to indicate the…

Applications · Statistics 2018-12-20 Xiyue Liao , Mary C. Meyer

In the last two decades the growth of computational resources has made it possible to handle Generalized Additive Models (GAMs) that formerly were too costly for serious applications. However, the growth in model complexity has not been…

Methodology · Statistics 2019-05-10 Matteo Fasiolo , Raphaël Nedellec , Yannig Goude , Simon N. Wood

The BUGS language offers a very flexible way of specifying complex statistical models for the purposes of Gibbs sampling, while its JAGS variant offers very convenient R integration via the rjags package. However, including smoothers in…

Computation · Statistics 2020-08-11 Simon N Wood

Generalized additive models (GAMs) connecting a set of scalar covariates that map 1-1 to a response are commonly employed in ecology and beyond. However, covariates are often inherently non-scalar, taking multiple values for each…

Methodology · Statistics 2025-09-11 David L Miller , Ken Newman , Thomas Cornulier

Covariate adjustment is a widely used technique in randomized clinical trials (RCTs) for improving the efficiency of treatment effect estimators. By adjusting for predictive baseline covariates, variance can be reduced, enhancing…

Methodology · Statistics 2025-10-16 Mathias Lerbech Jeppesen , Emilie Højbjerre-Frandsen

Linear mixed models are able to handle an extraordinary range of complications in regression-type analyses. Their most common use is to account for within-subject correlation in longitudinal data analysis. They are also the standard vehicle…

Statistics Theory · Mathematics 2007-06-13 Y. Zhao , J. Staudenmayer , B. A. Coull , M. P. Wand

This is a hands-on introduction to Generalised Additive Mixed Models (GAMMs) in the context of linguistics with a particular focus on dynamic speech analysis (e.g. formant contours, pitch tracks, diachronic change, etc.). The main goal is…

Applications · Statistics 2017-03-17 Márton Sóskuthy

Generalized additive models (GAMs) are a widely used class of models of interest to statisticians as they provide a flexible way to design interpretable models of data beyond linear models. We here propose a scalable and well-calibrated…

Machine Learning · Computer Science 2018-12-31 Vincent Adam , Nicolas Durrande , ST John

We describe the \proglang{R} package \pkg{glmmrBase} and an extension \pkg{glmmrOptim}. \pkg{glmmrBase} provides a flexible approach to specifying, fitting, and analysing generalised linear mixed models. We use an object-orientated class…

Computation · Statistics 2024-03-15 Samuel I. Watson

Generalized Additive Models (GAMs) are widely used explainable-by-design models in various applications. GAMs assume that the output can be represented as a sum of univariate functions, referred to as components. However, this assumption…

Machine Learning · Computer Science 2023-09-22 Vasilis Gkolemis , Anargiros Tzerefos , Theodore Dalamagas , Eirini Ntoutsi , Christos Diou

The Generalized Additive Model (GAM) is a powerful tool and has been well studied. This model class helps to identify additive regression structure. Via available test procedures one may identify the regression structure even sharper if…

Methodology · Statistics 2020-09-11 Rong Liu , Wolfgang Karl Härdle

We describe the open-source global fitting package GAMBIT: the Global And Modular Beyond-the-Standard-Model Inference Tool. GAMBIT combines extensive calculations of observables and likelihoods in particle and astroparticle physics with a…

Generalized Additive Models (GAMs) balance predictive accuracy and interpretability, but manually configuring their structure is challenging. We propose using the multi-objective genetic algorithm NSGA-II to automatically optimize GAMs,…

Machine Learning · Computer Science 2026-02-19 Kaaustaaub Shankar , Kelly Cohen

Graphical Transformation Models (GTMs) are introduced as a novel approach to effectively model multivariate data with intricate marginals and complex dependency structures semiparametrically, while maintaining interpretability through the…

Methodology · Statistics 2025-08-28 Matthias Herp , Johannes Brachem , Michael Altenbuchinger , Thomas Kneib

Transformations of covariates are widely used in applied statistics to improve interpretability and to satisfy assumptions required for valid inference. More broadly, feature engineering encompasses a wider set of practices aimed at…

Methodology · Statistics 2026-03-30 Claudia Collarin , Matteo Fasiolo , Yannig Goude , Simon N. Wood
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