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This paper proposes FREEtree, a tree-based method for high dimensional longitudinal data with correlated features. Popular machine learning approaches, like Random Forests, commonly used for variable selection do not perform well when there…

Machine Learning · Statistics 2020-06-18 Yuancheng Xu , Athanasse Zafirov , R. Michael Alvarez , Dan Kojis , Min Tan , Christina M. Ramirez

Kernels ensuing from tree ensembles such as random forest (RF) or gradient boosted trees (GBT), when used for kernel learning, have been shown to be competitive to their respective tree ensembles (particularly in higher dimensional…

Machine Learning · Statistics 2021-08-20 Dai Feng , Richard Baumgartner

Random Forests (RF) is one of the algorithms of choice in many supervised learning applications, be it classification or regression. The appeal of such tree-ensemble methods comes from a combination of several characteristics: a remarkable…

Machine Learning · Statistics 2020-05-18 Jaouad Mourtada , Stéphane Gaïffas , Erwan Scornet

We study contextual stochastic optimization problems, where we leverage rich auxiliary observations (e.g., product characteristics) to improve decision making with uncertain variables (e.g., demand). We show how to train forest decision…

Optimization and Control · Mathematics 2022-03-17 Nathan Kallus , Xiaojie Mao

Statistical wisdom suggests that very complex models, interpolating training data, will be poor at predicting unseen examples.Yet, this aphorism has been recently challenged by the identification of benign overfitting regimes, specially…

Statistics Theory · Mathematics 2023-02-10 Ludovic Arnould , Claire Boyer , Erwan Scornet

Random forests are a machine learning method used to automatically classify datasets and consist of a multitude of decision trees. While these random forests often have higher performance and generalize better than a single decision tree,…

Machine Learning · Computer Science 2025-07-31 Max Sondag , Christofer Meinecke , Dennis Collaris , Tatiana von Landesberger , Stef van den Elzen

The wealth of data being gathered about humans and their surroundings drives new machine learning applications in various fields. Consequently, more and more often, classifiers are trained using not only numerical data but also complex data…

Machine Learning · Computer Science 2022-04-13 Maciej Piernik , Dariusz Brzezinski , Pawel Zawadzki

Regression trees are one of the oldest forms of AI models, and their predictions can be made without a calculator, which makes them broadly useful, particularly for high-stakes applications. Within the large literature on regression trees,…

Machine Learning · Computer Science 2023-04-11 Rui Zhang , Rui Xin , Margo Seltzer , Cynthia Rudin

Random forests are considered one of the best out-of-the-box classification and regression algorithms due to their high level of predictive performance with relatively little tuning. Pairwise proximities can be computed from a trained…

Machine Learning · Statistics 2023-03-02 Jake S. Rhodes , Adele Cutler , Kevin R. Moon

Random forests are decision tree ensembles that can be used to solve a variety of machine learning problems. However, as the number of trees and their individual size can be large, their decision making process is often incomprehensible. In…

Artificial Intelligence · Computer Science 2022-11-22 Nico Potyka , Xiang Yin , Francesca Toni

Decision trees built with data remain in widespread use for nonparametric prediction. Predicting probability distributions is preferred over point predictions when uncertainty plays a prominent role in analysis and decision-making. We study…

Methodology · Statistics 2024-06-21 Sara Shashaani , Ozge Surer , Matthew Plumlee , Seth Guikema

We introduce a unified framework for random forest prediction error estimation based on a novel estimator of the conditional prediction error distribution function. Our framework enables simple plug-in estimation of key prediction…

Machine Learning · Statistics 2021-03-04 Benjamin Lu , Johanna Hardin

In materials science, data-driven methods accelerate material discovery and optimization while reducing costs and improving success rates. Symbolic regression is a key to extracting material descriptors from large datasets, in particular…

Machine Learning · Computer Science 2024-10-01 Xiaolin Jiang , Guanqi Liu , Jiaying Xie , Zhenpeng Hu

As a flexible nonparametric learning tool, the random forests algorithm has been widely applied to various real applications with appealing empirical performance, even in the presence of high-dimensional feature space. Unveiling the…

Statistics Theory · Mathematics 2022-09-27 Chien-Ming Chi , Patrick Vossler , Yingying Fan , Jinchi Lv

Random survival forest and survival trees are popular models in statistics and machine learning. However, there is a lack of general understanding regarding consistency, splitting rules and influence of the censoring mechanism. In this…

Statistics Theory · Mathematics 2019-02-05 Yifan Cui , Ruoqing Zhu , Mai Zhou , Michael Kosorok

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

Two decades of U.S. government legislative outcomes, as well as the policy preferences of rich people, the general population, and diverse interest groups, were captured in a detailed dataset curated and analyzed by Gilens, Page et al.…

Computers and Society · Computer Science 2020-08-18 Shawn McGuire , Charles Delahunt

When using machine learning for imbalanced binary classification problems, it is common to subsample the majority class to create a (more) balanced training dataset. This biases the model's predictions because the model learns from data…

Machine Learning · Computer Science 2025-11-03 Nathan Phelps , Daniel J. Lizotte , Douglas G. Woolford

Multi-label classification is a challenging task, particularly in domains where the number of labels to be predicted is large. Deep neural networks are often effective at multi-label classification of images and textual data. When dealing…

Machine Learning · Computer Science 2023-03-30 Nikolaos Mylonas , Ioannis Mollas , Nick Bassiliades , Grigorios Tsoumakas

Random forests are a sensible non-parametric model to predict competing risk data according to some covariates. However, there are currently no packages that can adequately handle large datasets ($n > 100,000$). We introduce a new R…

Methodology · Statistics 2022-07-26 Joel Therrien , Jiguo Cao