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Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

Methodology · Statistics 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

Ensembles of classification and regression trees remain popular machine learning methods because they define flexible non-parametric models that predict well and are computationally efficient both during training and testing. During…

Machine Learning · Computer Science 2012-06-22 Sebastian Nowozin

The increasing complexity of data requires methods and models that can effectively handle intricate structures, as simplifying them would result in loss of information. While several analytical tools have been developed to work with complex…

Methodology · Statistics 2023-06-16 Riccardo Giubilei , Tullia Padellini , Pierpaolo Brutti

Probabilistic Regression Trees (PRTrees) generalize traditional decision trees by incorporating probability functions that associate each data point with different regions of the tree, providing smooth decisions and continuous responses.…

Methodology · Statistics 2025-10-07 Taiane Schaedler Prass , Alisson Silva Neimaier , Guilherme Pumi

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

Methodology · Statistics 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey

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

Based on decision trees, many fields have arguably made tremendous progress in recent years. In simple words, decision trees use the strategy of "divide-and-conquer" to divide the complex problem on the dependency between input features and…

Machine Learning · Computer Science 2021-01-22 Jinxiong Zhang

The perspective of developing trustworthy AI for critical applications in science and engineering requires machine learning techniques that are capable of estimating their own uncertainty. In the context of regression, instead of estimating…

Machine Learning · Computer Science 2026-05-14 Quentin Duchemin , Guillaume Obozinski

The most fundamental problem in statistical causality is determining causal relationships from limited data. Probability trees, which combine prior causal structures with Bayesian updates, have been suggested as a possible solution. In this…

Machine Learning · Computer Science 2022-05-19 Tue Herlau

Risk scores are an interpretable and actionable class of machine learning models with applications in medicine, insurance, and risk management. Unlike most computational methods, risk scores are designed to be computed by a human by…

Machine Learning · Computer Science 2026-05-05 Costa Georgantas , Jonas Richiardi

Imputing missing potential outcomes using an estimated regression function is a natural idea for estimating causal effects. In the literature, estimators that combine imputation and regression adjustments are believed to be comparable to…

Statistics Theory · Mathematics 2023-01-20 Zhexiao Lin , Fang Han

Tree-based methods are popular nonparametric tools in studying time-to-event outcomes. In this article, we introduce a novel framework for survival trees and ensembles, where the trees partition the dynamic survivor population and can…

Methodology · Statistics 2020-01-14 Yifei Sun , Sy Han Chiou , Mei-Cheng Wang

Model performance is frequently reported only for the overall population under consideration. However, due to heterogeneity, overall performance measures often do not accurately represent model performance within specific subgroups. We…

Methodology · Statistics 2025-06-03 Ruotao Zhang , Constantine Gatsonis , Jon Steingrimsson

In this article we propose a boosting algorithm for regression with functional explanatory variables and scalar responses. The algorithm uses decision trees constructed with multiple projections as the "base-learners", which we call…

Methodology · Statistics 2023-04-07 Xiaomeng Ju , Matías Salibián-Barrera

The cumulative incidence is the probability of failure from the cause of interest over a certain time period in the presence of other risks. A semiparametric regression model proposed by Fine and Gray (1999) has become the method of choice…

Methodology · Statistics 2016-03-02 Lu Mao , D. Y. Lin

Tree ensemble models such as random forests and boosted trees are among the most widely used and practically successful predictive models in applied machine learning and business analytics. Although such models have been used to make…

Optimization and Control · Mathematics 2019-10-11 Velibor V. Mišić

Random forest (RF) methodology is one of the most popular machine learning techniques for prediction problems. In this article, we discuss some cases where random forests may suffer and propose a novel generalized RF method, namely…

Machine Learning · Statistics 2019-04-24 Haozhe Zhang , Dan Nettleton , Zhengyuan Zhu

Predictive models make mistakes. Hence, there is a need to quantify the uncertainty associated with their predictions. Conformal inference has emerged as a powerful tool to create statistically valid prediction regions around point…

Machine Learning · Statistics 2024-02-14 Luben M. C. Cabezas , Mateus P. Otto , Rafael Izbicki , Rafael B. Stern

Random forests have become an established tool for classification and regression, in particular in high-dimensional settings and in the presence of complex predictor-response relationships. For bounded outcome variables restricted to the…

Methodology · Statistics 2019-01-21 Leonie Weinhold , Matthias Schmid , Marvin N. Wright , Moritz Berger

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