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This paper promotes the use of random forests as versatile tools for estimating spatially disaggregated indicators in the presence of small area-specific sample sizes. Small area estimators are predominantly conceptualized within the…

Methodology · Statistics 2025-06-19 Patrick Krennmair , Timo Schmid

Random forests are ensemble learning methods introduced by Breiman (2001) that operate by averaging several decision trees built on a randomly selected subspace of the data set. Despite their widespread use in practice, the respective roles…

Statistics Theory · Mathematics 2016-03-15 Roxane Duroux , Erwan Scornet

Data analysis and machine learning have become an integrative part of the modern scientific methodology, offering automated procedures for the prediction of a phenomenon based on past observations, unraveling underlying patterns in data and…

Machine Learning · Statistics 2015-06-04 Gilles Louppe

Random forest is a classification algorithm well suited for microarray data: it shows excellent performance even when most predictive variables are noise, can be used when the number of variables is much larger than the number of…

Quantitative Methods · Quantitative Biology 2007-05-23 Ramon Diaz-Uriarte , Sara Alvarez de Andres

Feature subsampling is a core component of random forests and other ensemble methods. While recent theory suggests that this randomization acts solely as a variance reduction mechanism analogous to ridge regularization, these results…

Machine Learning · Statistics 2026-01-06 Xin Chen , Jason M. Klusowski , Yan Shuo Tan , Chang Yu

Given an ensemble of randomized regression trees, it is possible to restructure them as a collection of multilayered neural networks with particular connection weights. Following this principle, we reformulate the random forest method of…

Machine Learning · Statistics 2018-04-04 Gérard Biau , Erwan Scornet , Johannes Welbl

This paper examines the use of a residual bootstrap for bias correction in machine learning regression methods. Accounting for bias is an important obstacle in recent efforts to develop statistical inference for machine learning methods. We…

Machine Learning · Statistics 2015-06-02 Giles Hooker , Lucas Mentch

This paper proposes a novel type of random forests called a denoising random forests that are robust against noises contained in test samples. Such noise-corrupted samples cause serious damage to the estimation performances of random…

Computer Vision and Pattern Recognition · Computer Science 2017-10-31 Masaya Hibino , Akisato Kimura , Takayoshi Yamashita , Yuji Yamauchi , Hironobu Fujiyoshi

Random forests are widely used in regression. However, the decision trees used as base learners are poor approximators of linear relationships. To address this limitation we propose RaFFLE (Random Forest Featuring Linear Extensions), a…

Machine Learning · Computer Science 2025-02-17 Jakob Raymaekers , Peter J. Rousseeuw , Thomas Servotte , Tim Verdonck , Ruicong Yao

Random forests are ensemble methods which grow trees as base learners and combine their predictions by averaging. Random forests are known for their good practical performance, particularly in high dimensional set-tings. On the theoretical…

Statistics Theory · Mathematics 2015-09-18 Erwan Scornet

This paper analyzes comparatively the performance of Random Forests and Gradient Boosting algorithms in the field of forecasting the energy consumption based on historical data. The two algorithms are applied in order to forecast the energy…

Artificial Intelligence · Computer Science 2022-07-26 Cristina Bianca Pop , Viorica Rozina Chifu , Corina Cordea , Emil Stefan Chifu , Octav Barsan

We consider random forests and LASSO methods for model-based small area estimation when the number of areas with sampled data is a small fraction of the total areas for which estimates are required. Abundant auxiliary information is…

We offer theoretical and empirical insights into the impact of exogenous randomness on the effectiveness of random forests with tree-building rules independent of training data. We formally introduce the concept of exogenous randomness and…

Machine Learning · Statistics 2024-11-13 Tianxing Mei , Yingying Fan , Jinchi Lv

Random Forests (RF) and Extreme Gradient Boosting (XGBoost) are two of the most widely used and highly performing classification and regression models. They aggregate equally weighted CART trees, generated randomly in RF or sequentially in…

Machine Learning · Computer Science 2025-10-28 Dimitris Bertsimas , Yubing Cui

A random forest is a popular tool for estimating probabilities in machine learning classification tasks. However, the means by which this is accomplished is unprincipled: one simply counts the fraction of trees in a forest that vote for a…

Machine Learning · Statistics 2018-12-17 Matthew A. Olson , Abraham J. Wyner

Regression models for supervised learning problems with a continuous target are commonly understood as models for the conditional mean of the target given predictors. This notion is simple and therefore appealing for interpretation and…

Methodology · Statistics 2018-01-09 Torsten Hothorn , Achim Zeileis

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

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

We introduce random spatial forests, a method of bagging regression trees allowing for spatial correlation. Our main contribution is the development of a computationally efficient tree building algorithm which selects each split of the tree…

Methodology · Statistics 2020-07-24 Travis Hee Wai , Michael T. Young , Adam A. Szpiro

The issue of estimating residual variance in regression models has experienced relatively little attention in the machine learning community. However, the estimate is of primary interest in many practical applications, e.g. as a primary…

Statistics Theory · Mathematics 2018-12-18 Burim Ramosaj , Markus Pauly