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Motivated by the need to analyze continuously updated data sets in the context of time-to-event modeling, we propose a novel nonparametric approach to estimate the conditional hazard function given a set of continuous and discrete…

Methodology · Statistics 2025-07-03 Daphné Aurouet , Valentin Patilea

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

In many biomedical applications, outcome is measured as a ``time-to-event'' (eg. disease progression or death). To assess the connection between features of a patient and this outcome, it is common to assume a proportional hazards model,…

Statistics Theory · Mathematics 2020-08-11 Aliasghar Tarkhan , Noah Simon

We introduce a novel way to combine boosting with Gaussian process and mixed effects models. This allows for relaxing, first, the zero or linearity assumption for the prior mean function in Gaussian process and grouped random effects models…

Machine Learning · Computer Science 2024-11-06 Fabio Sigrist

High dimensional predictive regressions are useful in wide range of applications. However, the theory is mainly developed assuming that the model is stationary with time invariant parameters. This is at odds with the prevalent evidence for…

Econometrics · Economics 2019-10-09 Kashif Yousuf , Serena Ng

Gradient boosting performs exceptionally in most prediction problems and scales well to large datasets. In this paper we prove that a ``lassoed'' gradient boosted tree algorithm with early stopping achieves faster than $n^{-1/4}$ L2…

Machine Learning · Statistics 2023-12-12 Alejandro Schuler , Yi Li , Mark van der Laan

Recurrence data arise from multi-disciplinary domains spanning reliability, cyber security, healthcare, online retailing, etc. This paper investigates an additive-tree-based approach, known as Boost-R (Boosting for Recurrence Data), for…

Machine Learning · Computer Science 2021-07-20 Xiao Liu , Rong Pan

In various data situations joint models are an efficient tool to analyze relationships between time dependent covariates and event times or to correct for event-dependent dropout occurring in regression analysis. Joint modeling connects a…

Methodology · Statistics 2018-10-25 Colin Griesbach , Andreas Mayr , Elisabeth Waldmann

We present Natural Gradient Boosting (NGBoost), an algorithm for generic probabilistic prediction via gradient boosting. Typical regression models return a point estimate, conditional on covariates, but probabilistic regression models…

Machine Learning · Computer Science 2020-06-11 Tony Duan , Anand Avati , Daisy Yi Ding , Khanh K. Thai , Sanjay Basu , Andrew Y. Ng , Alejandro Schuler

This paper shows that gradient boosting based on symmetric decision trees can be equivalently reformulated as a kernel method that converges to the solution of a certain Kernel Ridge Regression problem. Thus, we obtain the convergence to a…

Machine Learning · Computer Science 2023-03-14 Aleksei Ustimenko , Artem Beliakov , Liudmila Prokhorenkova

Boosting techniques from the field of statistical learning have grown to be a popular tool for estimating and selecting predictor effects in various regression models and can roughly be separated in two general approaches, namely gradient…

Methodology · Statistics 2019-12-16 Colin Griesbach , Andreas Groll , Elisabeth Waldmann

We present a statistical perspective on boosting. Special emphasis is given to estimating potentially complex parametric or nonparametric models, including generalized linear and additive models as well as regression models for survival…

Methodology · Statistics 2008-12-18 Peter Bühlmann , Torsten Hothorn

Gradient tree boosting is a prediction algorithm that sequentially produces a model in the form of linear combinations of decision trees, by solving an infinite-dimensional optimization problem. We combine gradient boosting and Nesterov's…

Machine Learning · Statistics 2018-03-07 Gérard Biau , Benoît Cadre , Laurent Rouvìère

Gradient boosting of regression trees is a competitive procedure for learning predictive models of continuous data that fits the data with an additive non-parametric model. The classic version of gradient boosting assumes that the data is…

Machine Learning · Computer Science 2016-07-04 Iman Alodah , Jennifer Neville

In this paper we propose using the principle of boosting to reduce the bias of a random forest prediction in the regression setting. From the original random forest fit we extract the residuals and then fit another random forest to these…

Machine Learning · Statistics 2021-02-25 Indrayudh Ghosal , Giles Hooker

Gradient boosting is a prediction method that iteratively combines weak learners to produce a complex and accurate model. From an optimization point of view, the learning procedure of gradient boosting mimics a gradient descent on a…

Machine Learning · Computer Science 2022-11-30 Erwan Fouillen , Claire Boyer , Maxime Sangnier

Gradient boosting, a method of building additive ensembles from weak learners, has established itself as a practical and theoretically-motivated approach to approximate functions, especially using decision tree weak learners. Comparable…

Machine Learning · Computer Science 2026-03-26 Abhijit Chowdhary , Elizabeth Newman , Deepanshu Verma

Explainable boosting machines (EBMs) are popular "glass-box" models that learn a set of univariate functions using boosting trees. These achieve explainability through visualizations of each feature's effect. However, unlike linear model…

Machine Learning · Statistics 2026-03-31 Haimo Fang , Kevin Tan , Jonathan Pipping-Gamon , Giles Hooker

Recent years have seen a flurry of activities in designing provably efficient nonconvex procedures for solving statistical estimation problems. Due to the highly nonconvex nature of the empirical loss, state-of-the-art procedures often…

Machine Learning · Computer Science 2020-06-09 Cong Ma , Kaizheng Wang , Yuejie Chi , Yuxin Chen

The boosted Frank-Wolfe algorithm accelerates the classical Frank-Wolfe algorithm by better aligning the update direction with the negative gradient. Its analysis, however, has been limited to deterministic convex problems, with step sizes…

Optimization and Control · Mathematics 2026-05-26 Navil Nandhan , Abbas Khademi , Antonio Silveti-Falls