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In many applications of supervised learning, multiple classification or regression outputs have to be predicted jointly. We consider several extensions of gradient boosting to address such problems. We first propose a straightforward…

Machine Learning · Statistics 2019-05-21 Arnaud Joly , Louis Wehenkel , Pierre Geurts

Gradient boosted trees are competition-winning, general-purpose, non-parametric regressors, which exploit sequential model fitting and gradient descent to minimize a specific loss function. The most popular implementations are tailored to…

Machine Learning · Computer Science 2022-08-23 Lorenzo Nespoli , Vasco Medici

Gradient Boosted Decision Trees (GBDT) is a very successful ensemble learning algorithm widely used across a variety of applications. Recently, several variants of GBDT training algorithms and implementations have been designed and heavily…

Machine Learning · Computer Science 2019-06-27 Yu Shi , Jian Li , Zhize Li

Gradient boosted decision trees are a popular machine learning technique, in part because of their ability to give good accuracy with small models. We describe two extensions to the standard tree boosting algorithm designed to increase this…

Machine Learning · Statistics 2017-11-01 Natalia Ponomareva , Thomas Colthurst , Gilbert Hendry , Salem Haykal , Soroush Radpour

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

As an adaptive, interpretable, robust, and accurate meta-algorithm for arbitrary differentiable loss functions, gradient tree boosting is one of the most popular machine learning techniques, though the computational expensiveness severely…

Machine Learning · Computer Science 2019-11-21 Daniel Chao Zhou , Zhongming Jin , Tong Zhang

The gradient boosting machine is a powerful ensemble-based machine learning method for solving regression problems. However, one of the difficulties of its using is a possible discontinuity of the regression function, which arises when…

Machine Learning · Computer Science 2020-06-22 Andrei V. Konstantinov , Lev V. Utkin

Additive models, such as produced by gradient boosting, and full interaction models, such as classification and regression trees (CART), are widely used algorithms that have been investigated largely in isolation. We show that these models…

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

Random Forest's performance can be matched by a single slow-growing tree (SGT), which uses a learning rate to tame CART's greedy algorithm. SGT exploits the view that CART is an extreme case of an iterative weighted least square procedure.…

Machine Learning · Statistics 2021-07-15 Philippe Goulet Coulombe

Due to the increase in data availability in urban and regional studies, various spatial panel models have emerged to model spatial panel data, which exhibit spatial patterns and spatial dependencies between observations across time.…

Methodology · Statistics 2026-03-17 Michael Balzer , Adhen Benlahlou

Gradient Boosted Decision Tree (GBDT) is a widely-used machine learning algorithm that has been shown to achieve state-of-the-art results on many standard data science problems. We are interested in its application to multioutput problems…

Machine Learning · Computer Science 2022-11-24 Leonid Iosipoi , Anton Vakhrushev

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

Within machine learning, the supervised learning field aims at modeling the input-output relationship of a system, from past observations of its behavior. Decision trees characterize the input-output relationship through a series of nested…

Machine Learning · Statistics 2019-05-20 Arnaud Joly

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

This paper presents a computationally efficient variant of gradient boosting for multi-class classification and multi-output regression tasks. Standard gradient boosting uses a 1-vs-all strategy for classifications tasks with more than two…

Machine Learning · Computer Science 2024-07-25 Seyedsaman Emami , Gonzalo Martínez-Muñoz

Gradient boosting methods based on Structured Categorical Decision Trees (SCDT) have been demonstrated to outperform numerical and one-hot-encodings on problems where the categorical variable has a known underlying structure. However, the…

Machine Learning · Statistics 2020-07-10 Brian Lucena

Gradient boosting has become a cornerstone of machine learning, enabling base learners such as decision trees to achieve exceptional predictive performance. While existing algorithms primarily handle scalar or Euclidean outputs,…

Machine Learning · Statistics 2025-09-23 Yidong Zhou , Su I Iao , Hans-Georg Müller

Score-based generative models can effectively learn the distribution of data by estimating the gradient of the distribution. Due to the multi-step denoising characteristic, researchers have recently considered combining score-based…

Machine Learning · Computer Science 2024-12-17 Changyuan Zhao , Hongyang Du , Guangyuan Liu , Dusit Niyato
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