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Gaussian process (GP) models are commonly used statistical metamodels for emulating expensive computer simulators. Fitting a GP model can be numerically unstable if any pair of design points in the input space are close together. Ranjan,…

Computation · Statistics 2015-11-20 Blake MacDonald , Pritam Ranjan , Hugh Chipman

GWR is a popular approach for investigating the spatial variation in relationships between response and predictor variables, and critically for investigating and understanding process spatial heterogeneity. The geographically weighted (GW)…

Applications · Statistics 2021-09-30 Alexis Comber , Chris Brunsdon , Martin Callaghan , Paul Harris , Binbin Lu , Nick Malleson

Recent strides in interpretable machine learning (ML) research reveal that models exploit undesirable patterns in the data to make predictions, which potentially causes harms in deployment. However, it is unclear how we can fix these…

Multiple generalized additive models (GAMs) are a type of distributional regression wherein parameters of probability distributions depend on predictors through smooth functions, with selection of the degree of smoothness via $L_2$…

Machine Learning · Statistics 2018-09-26 Yousra El-Bachir , Anthony C. Davison

We introduce Generalized Integrated Gradients (GIG), a formal extension of the Integrated Gradients (IG) (Sundararajan et al., 2017) method for attributing credit to the input variables of a predictive model. GIG improves IG by explaining a…

Machine Learning · Computer Science 2019-09-10 John Merrill , Geoff Ward , Sean Kamkar , Jay Budzik , Douglas Merrill

Over the last decades, the challenges in applied regression and in predictive modeling have been changing considerably: (1) More flexible model specifications are needed as big(ger) data become available, facilitated by more powerful…

Computation · Statistics 2025-10-07 Nikolaus Umlauf , Nadja Klein , Thorsten Simon , Achim Zeileis

Generalized additive models for location, scale and shape (GAMLSS) are a flexible class of regression models that allow to model multiple parameters of a distribution function, such as the mean and the standard deviation, simultaneously.…

Computation · Statistics 2014-07-08 Benjamin Hofner , Andreas Mayr , Matthias Schmid

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…

Methodology · Statistics 2014-11-10 Benjamin Hofner , Thomas Kneib , Torsten Hothorn

Neural networks have become a popular tool in predictive modelling, more commonly associated with machine learning and artificial intelligence than with statistics. Generalised Additive Models (GAMs) are flexible non-linear statistical…

Machine Learning · Statistics 2026-01-06 Jessica Doohan , Lucas Kook , Kevin Burke

Gaussian Process (GP) models are often used as mathematical approximations of computationally expensive experiments. Provided that its kernel is suitably chosen and that enough data is available to obtain a reasonable fit of the simulator,…

Machine Learning · Statistics 2011-03-22 Nicolas Durrande , David Ginsbourger , Olivier Roustant

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,…

Methodology · Statistics 2020-01-15 J. Kenneth Tay , Robert Tibshirani

Generalized Additive Models (GAMs) are commonly considered *interpretable* within the ML community, as their structure makes the relationship between inputs and outputs relatively understandable. Therefore, it may seem natural to…

Machine Learning · Computer Science 2026-02-06 Shahaf Bassan , Michal Moshkovitz , Guy Katz

Generalized linear models (GLMs) form one of the most popular classes of models in statistics. The gamma variant is used, for instance, in actuarial science for the modelling of claim amounts in insurance. A flaw of GLMs is that they are…

Methodology · Statistics 2024-02-12 Philippe Gagnon , Yuxi Wang

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…

Machine Learning · Computer Science 2022-03-17 Chun-Hao Chang , Rich Caruana , Anna Goldenberg

Existing computationally efficient methods for penalized likelihood GAM fitting employ iterative smoothness selection on working linear models (or working mixed models). Such schemes fail to converge for a non-negligible proportion of…

Methodology · Statistics 2015-11-13 Simon N. Wood

Additive smooth models, such as Generalized additive models (GAMs) of location, scale, and shape (GAMLSS), are a popular choice for modeling experimental data. However, software available to fit such models is usually not tailored…

Methodology · Statistics 2025-06-17 Joshua Krause , Jelmer P. Borst , Jacolien van Rij

Multiplicative mixed models can be applied in a wide range of scientific disciplines, since they are relevant in every situation where an interaction between a fixed effect and a random effect is present. Until now, no R package has been…

Computation · Statistics 2018-11-05 Sofie Pødenphant , Kasper Kristensen , Per B. Brockhoff

We present the R-package mgm for the estimation of k-order Mixed Graphical Models (MGMs) and mixed Vector Autoregressive (mVAR) models in high-dimensional data. These are a useful extensions of graphical models for only one variable type,…

Applications · Statistics 2020-02-13 Jonas M. B. Haslbeck , Lourens J. Waldorp

This paper introduces the open-source framework, GIRA, which implements fundamental robotics algorithms for reconstruction, pose estimation, and occupancy modeling using compact generative models. Compactness enables perception in the large…

Robotics · Computer Science 2024-04-18 Kshitij Goel , Wennie Tabib

Generalized additive models (GAMs) have become a leading modelclass for interpretable machine learning. However, there are many algorithms for training GAMs, and these can learn different or even contradictory models, while being equally…

Machine Learning · Computer Science 2021-06-08 Chun-Hao Chang , Sarah Tan , Ben Lengerich , Anna Goldenberg , Rich Caruana