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Gradient boosting algorithms construct a regression predictor using a linear combination of ``base learners''. Boosting also offers an approach to obtaining robust non-parametric regression estimators that are scalable to applications with…

Methodology · Statistics 2020-08-11 Xiaomeng Ju , Matías Salibián-Barrera

Gradient boosting from the field of statistical learning is widely known as a powerful framework for estimation and selection of predictor effects in various regression models by adapting concepts from classification theory. Current…

Methodology · Statistics 2020-11-03 Colin Griesbach , Benjamin Säfken , Elisabeth Waldmann

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

Boosting is a popular way to derive powerful learners from simpler hypothesis classes. Following previous work (Mason et al., 1999; Friedman, 2000) on general boosting frameworks, we analyze gradient-based descent algorithms for boosting…

Machine Learning · Computer Science 2012-02-15 Alexander Grubb , J. Andrew Bagnell

We present a new procedure for enhanced variable selection for component-wise gradient boosting. Statistical boosting is a computational approach that emerged from machine learning, which allows to fit regression models in the presence of…

We present a novel algorithm for non-linear instrumental variable (IV) regression, DualIV, which simplifies traditional two-stage methods via a dual formulation. Inspired by problems in stochastic programming, we show that two-stage…

Machine Learning · Statistics 2020-10-27 Krikamol Muandet , Arash Mehrjou , Si Kai Lee , Anant Raj

Gradient boosting is a state-of-the-art prediction technique that sequentially produces a model in the form of linear combinations of simple predictors---typically decision trees---by solving an infinite-dimensional convex optimization…

Statistics Theory · Mathematics 2017-07-18 Gérard Biau , Benoît Cadre

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

Component-wise gradient boosting algorithms are popular for their intrinsic variable selection and implicit regularization, which can be especially beneficial for very flexible model classes. When estimating generalized additive models for…

Methodology · Statistics 2024-04-15 Alexandra Daub , Andreas Mayr , Boyao Zhang , Elisabeth Bergherr

In this paper we analyze boosting algorithms in linear regression from a new perspective: that of modern first-order methods in convex optimization. We show that classic boosting algorithms in linear regression, namely the incremental…

Statistics Theory · Mathematics 2015-05-19 Robert M. Freund , Paul Grigas , Rahul Mazumder

The endogeneity issue is fundamentally important as many empirical applications may suffer from the omission of explanatory variables, measurement error, or simultaneous causality. Recently, \cite{hllt17} propose a "Deep Instrumental…

Statistics Theory · Mathematics 2020-05-01 Ruiqi Liu , Zuofeng Shang , Guang Cheng

Boosting has garnered significant interest across both machine learning and statistical communities. Traditional boosting algorithms, designed for fully observed random samples, often struggle with real-world problems, particularly with…

Machine Learning · Statistics 2026-02-19 Yuan Bian , Grace Y. Yi , Wenqing He

Boosting is a popular ensemble algorithm that generates more powerful learners by linearly combining base models from a simpler hypothesis class. In this work, we investigate the problem of adapting batch gradient boosting for minimizing…

Machine Learning · Computer Science 2017-03-02 Hanzhang Hu , Wen Sun , Arun Venkatraman , Martial Hebert , J. Andrew Bagnell

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

Researchers in urban and regional studies increasingly deal with spatial data that reflects geographic location and spatial relationships. As a framework for dealing with the unique nature of spatial data, various spatial regression models…

Econometrics · Economics 2025-06-17 Michael Balzer

Structured additive distributional copula regression allows to model the joint distribution of multivariate outcomes by relating all distribution parameters to covariates. Estimation via statistical boosting enables accounting for…

Boosting as gradient descent algorithms is one popular method in machine learning. In this paper a novel Boosting-type algorithm is proposed based on restricted gradient descent with structural sparsity control whose underlying dynamics are…

Machine Learning · Statistics 2017-04-18 Chendi Huang , Xinwei Sun , Jiechao Xiong , Yuan Yao

Boosting methods are widely used in statistical learning to deal with high-dimensional data due to their variable selection feature. However, those methods lack straightforward ways to construct estimators for the precision of the…

Methodology · Statistics 2021-06-10 Boyao Zhang , Colin Griesbach , Cora Kim , Nadia Müller-Voggel , Elisabeth Bergherr

This paper presents a general iterative bias correction procedure for regression smoothers. This bias reduction schema is shown to correspond operationally to the $L_2$ Boosting algorithm and provides a new statistical interpretation for…

Methodology · Statistics 2008-01-31 Pierre Andre Cornillon , Nicolas Hengartner , Eric Matzner-Lober

This paper introduces Stochastic Gradient Langevin Boosting (SGLB) - a powerful and efficient machine learning framework that may deal with a wide range of loss functions and has provable generalization guarantees. The method is based on a…

Machine Learning · Computer Science 2022-01-19 Aleksei Ustimenko , Liudmila Prokhorenkova
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