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Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

In the setting of additive regression model for continuous time process, we establish the optimal uniform convergence rates and optimal asymptotic quadratic error of additive regression. To build our estimate, we use the marginal…

Statistics Theory · Mathematics 2007-06-11 Mohammed Debbarh , Bertrand Maillot

We present a structured additive regression approach to model conditional densities given scalar covariates, where only samples of the conditional distributions are observed. This links our approach to distributional regression models for…

Methodology · Statistics 2025-10-17 Eva-Maria Maier , Alexander Fottner , Sonja Greven , Almond Stöcker

Quantile regression has received increased attention in the statistics community in recent years. This article adapts an auxiliary variable method, commonly used in Bayesian variable selection for mean regression models, to the fitting of…

Methodology · Statistics 2012-02-28 J. -L. Dortet-Bernadet , Y. Fan

This paper examines the effectiveness of combining active learning and transfer learning for anomaly detection in cross-domain time-series data. Our results indicate that there is an interaction between clustering and active learning and in…

Machine Learning · Computer Science 2025-08-07 John D. Kelleher , Matthew Nicholson , Rahul Agrahari , Clare Conran

Accelerometers enable an objective measurement of physical activity levels among groups of individuals in free-living environments, providing high-resolution detail about physical activity changes at different time scales. Current…

Methodology · Statistics 2022-01-21 Marcos Matabuena , Alexander Petersen

We develop a model-based boosting approach for multivariate distributional regression within the framework of generalized additive models for location, scale, and shape. Our approach enables the simultaneous modeling of all distribution…

Methodology · Statistics 2022-07-19 Annika Strömer , Nadja Klein , Christian Staerk , Hannah Klinkhammer , Andreas Mayr

Linear mixed models are widely used for clustered data, but their reliance on parametric forms limits flexibility in complex and high-dimensional settings. In contrast, gradient boosting methods achieve high predictive accuracy through…

Machine Learning · Statistics 2025-11-04 Mitchell L. Prevett , Francis K. C. Hui , Zhi Yang Tho , A. H. Welsh , Anton H. Westveld

Quantile regression, the prediction of conditional quantiles, finds applications in various fields. Often, some or all of the variables are discrete. The authors propose two new quantile regression approaches to handle such mixed…

Methodology · Statistics 2017-05-24 Niklas Schallhorn , Daniel Kraus , Thomas Nagler , Claudia Czado

Quantile regression permits describing how quantiles of a scalar response variable depend on a set of predictors. Because a unique definition of multivariate quantiles is lacking, extending quantile regression to multivariate responses is…

Methodology · Statistics 2021-04-22 Silvia Columbu , Paolo Frumento , Matteo Bottai

Physical activity levels are an important predictor of cardiovascular health and increasingly being measured by sensors, like accelerometers. Accelerometers produce rich multivariate data that can inform important clinical decisions related…

Methodology · Statistics 2020-12-07 Peter A. Tait , Paul D. McNicholas , Joyce Obeid

The authors propose new additive models for binary outcomes, where the components are copula-based regression models (Noh et al, 2013), and designed such that the model may capture potentially complex interaction effects. The models do not…

Methodology · Statistics 2024-10-22 Simon Boge Brant , Ingrid Hobæk Haff

Quantile regression is an increasingly important empirical tool in economics and other sciences for analyzing the impact of a set of regressors on the conditional distribution of an outcome. Extremal quantile regression, or quantile…

Methodology · Statistics 2018-01-08 Victor Chernozhukov , Ivan Fernandez-Val

We propose a novel, succinct, and effective approach for distribution prediction to quantify uncertainty in machine learning. It incorporates adaptively flexible distribution prediction of $\mathbb{P}(\mathbf{y}|\mathbf{X}=x)$ in regression…

Machine Learning · Computer Science 2023-06-21 Xing Yan , Yonghua Su , Wenxuan Ma

The prevalence of chronic non-communicable diseases such as obesity has noticeably increased in the last decade. The study of these diseases in early life is of paramount importance in determining their course in adult life and in…

In this paper we investigate the question of how much combined measurements can increase the accuracy of additive quantities. Therefore, we consider a set of measurements from a selection of all possible combinations of the $n$ labeled…

Data Analysis, Statistics and Probability · Physics 2022-05-18 B. Mirbach , M. Boguslawski

We propose a two-step estimating procedure for generalized additive partially linear models with clustered data using estimating equations. Our proposed method applies to the case that the number of observations per cluster is allowed to…

Statistics Theory · Mathematics 2013-02-20 Shujie Ma

Quantile regression has become a valuable tool to analyze heterogeneous covaraite-response associations that are often encountered in practice. The development of quantile regression methodology for high-dimensional covariates primarily…

Methodology · Statistics 2015-07-06 Qi Zheng , Limin Peng , Xuming He

Fertility plans, measured by the number of planned children, have been found to be affected by education and family background via complex tail dependencies. This challenge was previously met with the use of non-parametric jittering…

Methodology · Statistics 2019-11-18 Alina Peluso , Veronica Vinciotti , Keming Yu

We consider an additive partially linear framework for modelling massive heterogeneous data. The major goal is to extract multiple common features simultaneously across all sub-populations while exploring heterogeneity of each…

Methodology · Statistics 2019-01-01 Binhuan Wang , Yixin Fang , Heng Lian , Hua Liang