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This article introduces the pammtools package, which facilitates data transformation, estimation and interpretation of Piece-wise exponential Additive Mixed Models. A special focus is on time-varying effects and cumulative effects of…

Computation · Statistics 2018-06-05 Andreas Bender , Fabian Scheipl

Logistic regression (LR) is widely used in clinical prediction because it is simple to deploy and easy to interpret. Nevertheless, being a linear model, LR has limited expressive capability and often has unsatisfactory performance.…

Machine Learning · Computer Science 2019-07-31 Zhicheng Cui , Bradley A Fritz , Christopher R King , Michael S Avidan , Yixin Chen

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…

Applications · Statistics 2020-08-04 Farzali Izadi

Generalized Additive Models (GAMs) can be used to create non-linear glass-box (i.e. explicitly interpretable) models, where the predictive function is fully observable over the complete input space. However, glass-box interpretability…

Machine Learning · Computer Science 2026-04-22 Nicolas Salvadé , Tim Hillel

A problem that tends to be ignored in the statistical analysis of experimental data in the language sciences is that responses often constitute time series, which raises the problem of autocorrelated errors. If the errors indeed show…

Applications · Statistics 2016-01-12 R. Harald Baayen , Jacolien van Rij , Cecile de Cat , Simon N. Wood

Gaussian processes (GPs) are widely used as distributions of random effects in linear mixed models, which are fit using the restricted likelihood or the closely-related Bayesian analysis. This article addresses two problems. First, we…

Methodology · Statistics 2018-05-04 Maitreyee Bose , James S. Hodges , Sudipto Banerjee

Inspired by the remarkable success of foundation models in language and vision, Graph Foundation Models (GFMs) hold significant promise for broad applicability across diverse graph tasks and domains. However, existing GFMs struggle with…

Machine Learning · Computer Science 2025-11-11 Haonan Yuan , Qingyun Sun , Junhua Shi , Xingcheng Fu , Bryan Hooi , Jianxin Li , Philip S. Yu

In many applications, linear models fit the data poorly. This article studies an appealing alternative, the generalized regression model. This model only assumes that there exists an unknown monotonically increasing link function connecting…

Methodology · Statistics 2017-07-24 Fang Han , Hongkai Ji , Zhicheng Ji , Honglang Wang

While machine learning methods have significantly improved model performance over traditional methods, their black-box structure makes it difficult for researchers to interpret results. For highly regulated financial industries, model…

Machine Learning · Computer Science 2024-07-30 Dangxing Chen , Weicheng Ye

Gaussian Process (GP) models are a powerful tool in probabilistic machine learning with a solid theoretical foundation. Thanks to current advances, modeling complex data with GPs is becoming increasingly feasible, which makes them an…

Machine Learning · Computer Science 2025-03-04 Sarem Seitz

Meta-analytical models are typically formulated as a mixed-effects model where the sampling variances of the effect sizes are treated as known. In principle, such models could be fitted with standard mixed-modelling software such as the…

Let $R$ be a commutative ring with identity and $G$ a graph. Extending generalized splines are a further extension of generalized splines by allowing vertex labels of $G$ to lie in varying modules rather than in a fixed ring $R$.…

Combinatorics · Mathematics 2026-02-05 Gökçen Dilaver , Selma Altınok

Randomized response (RR) designs are used to collect response data about sensitive behaviors (e.g., criminal behavior, sexual desires). The modeling of RR data is more complex, since it requires a description of the RR process. For the…

Methodology · Statistics 2021-06-21 Jean-Paul Fox , Konrad Klotzke , Duco Veen

Interpretability is one of the considerations when applying machine learning to high-stakes fields such as healthcare that involve matters of life safety. Generalized Additive Models (GAMs) enhance interpretability by visualizing shape…

Machine Learning · Computer Science 2025-10-06 Fumin Wang

The Global and Modular Beyond-Standard Model Inference Tool (GAMBIT) is an open source software framework for performing global statistical fits of particle physics models, using a wide range of particle and astroparticle data. In this…

High Energy Physics - Phenomenology · Physics 2020-08-19 Anders Kvellestad , Pat Scott , Martin White

Generalized Additive Models (GAMs) have recently experienced a resurgence in popularity due to their interpretability, which arises from expressing the target value as a sum of non-linear transformations of the features. Despite the current…

We study generalised additive models, with shape restrictions (e.g. monotonicity, convexity, concavity) imposed on each component of the additive prediction function. We show that this framework facilitates a nonparametric estimator of each…

Statistics Theory · Mathematics 2014-04-14 Yining Chen , Richard J. Samworth

A tutorial-style introduction to the R-package robFitConGraph is given. The latter provides a robust goodness-of-fit test for Gaussian graphical models. Its use is demonstrated at a data example on music performance anxiety, which also…

Methodology · Statistics 2022-12-02 Daniel Vogel , Stuart J. Watt , Anna Wiedemann

Joint models have received increasing attention during recent years with extensions into various directions; numerous hazard functions, different association structures, linear and non-linear longitudinal trajectories amongst others. Many…

Methodology · Statistics 2019-01-29 Janet Van Niekerk , Haakon Bakka , Haavard Rue

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.,…

Methodology · Statistics 2016-05-09 Fabian Scheipl , Jan Gertheiss , Sonja Greven