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This paper introduces a novel nonparametric method for estimating high-dimensional dynamic covariance matrices with multiple conditioning covariates, leveraging random forests and supported by robust theoretical guarantees. Unlike…

Machine Learning · Statistics 2025-05-20 Shuguang Yu , Fan Zhou , Yingjie Zhang , Ziqi Chen , Hongtu Zhu

Random forests, introduced by Leo Breiman in 2001, are a very effective statistical method. The complex mechanism of the method makes theoretical analysis difficult. Therefore, a simplified version of random forests, called purely random…

Statistics Theory · Mathematics 2010-07-28 Robin Genuer

We propose a computationally efficient alternative to generalized random forests (GRFs) for estimating heterogeneous effects in large dimensions. While GRFs rely on a gradient-based splitting criterion, which in large dimensions is…

Machine Learning · Statistics 2025-06-18 David Fleischer , David A. Stephens , Archer Y. Yang

An algorithm to improve performance parameter for unsupervised decision forest clustering and density estimation is presented. Specifically, a dual assignment parameter is introduced as a density estimator by combining Random Forest and…

Computer Vision and Pattern Recognition · Computer Science 2015-07-19 Hayder Albehadili , Naz Islam

Time-varying covariates are often available in survival studies and estimation of the hazard function needs to be updated as new information becomes available. In this paper, we investigate several different easy-to-implement ways that…

Methodology · Statistics 2021-03-04 Hoora Moradian , Weichi Yao , Denis Larocque , Jeffrey S. Simonoff , Halina Frydman

Decision tree learning is increasingly being used for pointwise inference. Important applications include causal heterogenous treatment effects and dynamic policy decisions, as well as conditional quantile regression and design of…

Machine Learning · Statistics 2024-02-08 Matias D. Cattaneo , Jason M. Klusowski , Peter M. Tian

We study the often overlooked phenomenon, first noted in \cite{breiman2001random}, that random forests appear to reduce bias compared to bagging. Motivated by an interesting paper by \cite{mentch2020randomization}, where the authors explain…

Machine Learning · Statistics 2025-07-23 Brian Liu , Rahul Mazumder

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

Manifold alignment is a type of data fusion technique that creates a shared low-dimensional representation of data collected from multiple domains, enabling cross-domain learning and improved performance in downstream tasks. This paper…

Machine Learning · Computer Science 2024-11-26 Jake S. Rhodes , Adam G. Rustad

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 Random Forest (RF) classifier is often claimed to be relatively well calibrated when compared with other machine learning methods. Moreover, the existing literature suggests that traditional calibration methods, such as isotonic…

Machine Learning · Computer Science 2025-01-29 Mohammad Hossein Shaker , Eyke Hüllermeier

Precision oncology aims to prescribe the optimal cancer treatment to the right patients, maximizing therapeutic benefits. However, identifying patient subgroups that may benefit more from experimental cancer treatments based on randomized…

Methodology · Statistics 2026-01-06 Xingyu Li , Qing Liu , Tony Jiang , Hong Amy Xia , Peng Wei , Brian P. Hobbs

Variations in complex traits are influenced by multiple genetic variants, environmental risk factors, and their interactions. Though substantial progress has been made in identifying single genetic variants associated with complex traits,…

Genomics · Quantitative Biology 2025-08-22 Ming Li , Ruo-Sin Peng , Changshuai Wei , Qing Lu

Predicting the individual risk of a clinical event using the complete patient history is still a major challenge for personalized medicine. Among the methods developed to compute individual dynamic predictions, the joint models have the…

Machine Learning · Statistics 2024-07-17 Anthony Devaux , Catherine Helmer , Robin Genuer , Cécile Proust-Lima

Introduced by Breiman, Random Forests are widely used classification and regression algorithms. While being initially designed as batch algorithms, several variants have been proposed to handle online learning. One particular instance of…

Machine Learning · Statistics 2019-04-10 Jaouad Mourtada , Stéphane Gaïffas , Erwan Scornet

Random Forest (RF) is a well-known data-driven algorithm applied in several fields thanks to its flexibility in modeling the relationship between the response variable and the predictors, also in case of strong non-linearities. In…

Machine Learning · Statistics 2023-10-18 Luca Patelli , Michela Cameletti , Natalia Golini , Rosaria Ignaccolo

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

Towards a future where machine learning systems will integrate into every aspect of people's lives, researching methods to interpret such systems is necessary, instead of focusing exclusively on enhancing their performance. Enriching the…

Machine Learning · Computer Science 2021-12-21 Ioannis Mollas , Nick Bassiliades , Ioannis Vlahavas , Grigorios Tsoumakas

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

Many scientific and engineering challenges -- ranging from personalized medicine to customized marketing recommendations -- require an understanding of treatment effect heterogeneity. In this paper, we develop a non-parametric causal forest…

Methodology · Statistics 2017-07-11 Stefan Wager , Susan Athey
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