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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…

应用统计 · 统计学 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'),…

统计方法学 · 统计学 2025-01-27 David L. Miller

Generalized additive models (GAMs) play an important role in modeling and understanding complex relationships in modern applied statistics. They allow for flexible, data-driven estimation of covariate effects. Yet researchers often have a…

统计方法学 · 统计学 2014-11-10 Benjamin Hofner , Thomas Kneib , Torsten Hothorn

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…

统计方法学 · 统计学 2026-03-30 Claudia Collarin , Matteo Fasiolo , Yannig Goude , Simon N. Wood

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…

统计方法学 · 统计学 2023-03-07 Antti Solonen , Stratos Staboulis

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…

统计方法学 · 统计学 2020-07-08 Matteo Fasiolo , Simon N. Wood , Margaux Zaffran , Raphaël Nedellec , Yannig Goude

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…

统计计算 · 统计学 2024-03-19 Natalya Pya Arnqvist

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…

机器学习 · 计算机科学 2018-12-31 Vincent Adam , Nicolas Durrande , ST John

Sparse generalized additive models (GAMs) are an extension of sparse generalized linear models which allow a model's prediction to vary non-linearly with an input variable. This enables the data analyst build more accurate models,…

统计方法学 · 统计学 2020-01-15 J. Kenneth Tay , Robert Tibshirani

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…

机器学习 · 计算机科学 2023-09-22 Vasilis Gkolemis , Anargiros Tzerefos , Theodore Dalamagas , Eirini Ntoutsi , Christos Diou

Generalized additive models (GAMs, Hastie & Tibshirani, 1990; Wood, 2017) are an extension of the generalized linear model that allows the effects of covariates to be modelled as smooth functions. GAMs are increasingly used in many areas of…

统计计算 · 统计学 2024-12-24 Gavin L. Simpson

Pair-copula constructions are flexible dependence models that use bivariate copulas as building blocks. In this paper, we use generalized additive models to extend them by allowing covariates effects. Borrowing ideas from a traditionally…

统计方法学 · 统计学 2017-08-17 Thibault Vatter , Thomas Nagler

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…

应用统计 · 统计学 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…

统计方法学 · 统计学 2019-05-10 Matteo Fasiolo , Raphaël Nedellec , Yannig Goude , Simon N. Wood

Generalized additive models for location, scale and shape (GAMLSS) are a popular extension to mean regression models where each parameter of an arbitrary distribution is modelled through covariates. While such models have been developed for…

统计方法学 · 统计学 2024-12-02 Lucas Kock , Nadja Klein

Deployment of machine learning models in real high-risk settings (e.g. healthcare) often depends not only on the model's accuracy but also on its fairness, robustness, and interpretability. Generalized Additive Models (GAMs) are a class of…

机器学习 · 计算机科学 2022-03-17 Chun-Hao Chang , Rich Caruana , Anna Goldenberg

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…

统计方法学 · 统计学 2020-09-11 Rong Liu , Wolfgang Karl Härdle

We propose a general framework for non-normal multivariate data analysis called multivariate covariance generalized linear models (McGLMs), designed to handle multivariate response variables, along with a wide range of temporal and spatial…

统计方法学 · 统计学 2017-04-25 Wagner Hugo Bonat , Bent Jørgensen

We propose a comprehensive framework for additive regression models for non-Gaussian functional responses, allowing for multiple (partially) nested or crossed functional random effects with flexible correlation structures for, e.g.,…

统计方法学 · 统计学 2016-05-09 Fabian Scheipl , Jan Gertheiss , Sonja Greven

To capture the death rates and strong weekly, biweekly and probably monthly patterns in the Canada COVID-19, we utilize the generalized additive models in the absence of direct statistically based measurement of infection rates. By…

应用统计 · 统计学 2020-08-04 Farzali Izadi
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