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It has been postulated and observed in practice that for prediction problems in which covariate data can be naturally partitioned into clusters, ensembling algorithms based on suitably aggregating models trained on individual clusters often…

Statistics Theory · Mathematics 2021-06-07 Maya Ramchandran , Rajarshi Mukherjee

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

We introduce a modification of Random Forests to estimate functions when unobserved confounding variables are present. The technique is tailored for high-dimensional settings with many observed covariates. We use spectral deconfounding…

Computation · Statistics 2025-09-25 Markus Ulmer , Cyrill Scheidegger , Peter Bühlmann

Reliable inference for spatial regression remains challenging because it requires the correct specification of the spatial dependence structure, the mean trend, and the error distribution. Existing parametric testing methods rely on…

Methodology · Statistics 2026-05-12 Kanghyun Wi , Hyoeun Kim , Tomáš Mrkvička , Jorge Mateu , Jaewoo Park

Species range maps (SRMs) are essential tools for research and policy-making in ecology, conservation, and environmental management. However, traditional SRMs rely on the availability of environmental covariates and high-quality species…

Random forests are a scheme proposed by Leo Breiman in the 2000's for building a predictor ensemble with a set of decision trees that grow in randomly selected subspaces of data. Despite growing interest and practical use, there has been…

Machine Learning · Statistics 2012-03-28 Gérard Biau

The dynamics of a rain forest is extremely complex involving births, deaths and growth of trees with complex interactions between trees, animals, climate, and environment. We consider the patterns of recruits (new trees) and dead trees…

Methodology · Statistics 2024-09-19 Abdollah Jalilian , Francisco Cuevas-Pacheco , Ganggang Xu , Rasmus Waagepetersen

Random Forest (RF) is a widely used machine learning algorithm known for its flexibility, user-friendliness, and high predictive performance across various domains. However, it is non-interpretable. This can limit its usefulness in applied…

Machine Learning · Statistics 2024-08-13 Luca Patelli , Natalia Golini , Rosaria Ignaccolo , Michela Cameletti

We discuss estimation and inference of conditional treatment effects in regression discontinuity (RD) designs with multiple scores. In addition to local linear regressions and the minimax-optimal estimator more recently proposed by Imbens…

Econometrics · Economics 2025-06-10 Yiqi Liu , Yuan Qi

In Big Data environment, one pressing challenge facing engineers is to perform reliability analysis for a large fleet of heterogeneous repairable systems with covariates. In addition to static covariates, which include time-invariant system…

Applications · Statistics 2019-04-03 Xiao Liu , Rong Pan

Tree-based ensembles such as the Random Forest are modern classics among statistical learning methods. In particular, they are used for predicting univariate responses. In case of multiple outputs the question arises whether we separately…

Machine Learning · Statistics 2022-01-17 Lena Schmid , Alexander Gerharz , Andreas Groll , 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

Prediction in high dimensional settings is difficult due to large by number of variables relative to the sample size. We demonstrate how auxiliary "co-data" can be used to improve the performance of a Random Forest in such a setting.…

Applications · Statistics 2017-06-05 Dennis E. te Beest , Steven W. Mes , Ruud H. Brakenhoff , Mark A. van de Wiel

Random forests are popular methods for regression and classification analysis, and many different variants have been proposed in recent years. One interesting example is the Mondrian random forest, in which the underlying constituent trees…

Statistics Theory · Mathematics 2025-11-10 Matias D. Cattaneo , Jason M. Klusowski , William G. Underwood

A key challenge in environmental health research is unmeasured spatial confounding, driven by unobserved spatially structured variables that influence both treatment and outcome. A common approach is to fit a spatial regression that models…

Methodology · Statistics 2025-12-23 Sophie M. Woodward , Francesca Dominici , Jose R. Zubizarreta

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

Random forests remain among the most popular off-the-shelf supervised machine learning tools with a well-established track record of predictive accuracy in both regression and classification settings. Despite their empirical success as well…

Machine Learning · Statistics 2020-09-15 Lucas Mentch , Siyu Zhou

Random Forests [Breiman:2001] (RF) are a fully non-parametric statistical method requiring no distributional assumptions on covariate relation to the response. RF are a robust, nonlinear technique that optimizes predictive accuracy by…

Computation · Statistics 2016-12-30 John Ehrlinger

This paper investigates the finite sample performance of a range of parametric, semi-parametric, and non-parametric instrumental variable estimators when controlling for a fixed set of covariates to evaluate the local average treatment…

Econometrics · Economics 2022-12-15 Hugo Bodory , Martin Huber , Michael Lechner

In many environmental applications involving spatially-referenced data, limitations on the number and locations of observations motivate the need for practical and efficient models for spatial interpolation, or kriging. A key component of…

Methodology · Statistics 2015-09-15 Mark D. Risser , Catherine A. Calder