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Despite the impressive performance of random forests (RF), its theoretical properties have not been thoroughly understood. In this paper, we propose a novel RF framework, dubbed multinomial random forest (MRF), to analyze the…

Machine Learning · Computer Science 2020-06-09 Yiming Li , Jiawang Bai , Jiawei Li , Xue Yang , Yong Jiang , Chun Li , Shutao Xia

Random forests are a statistical learning method widely used in many areas of scientific research because of its ability to learn complex relationships between input and output variables and also its capacity to handle high-dimensional…

Machine Learning · Statistics 2024-02-19 Louis Capitaine , Jérémie Bigot , Rodolphe Thiébaut , Robin Genuer

Random forests is a common non-parametric regression technique which performs well for mixed-type unordered data and irrelevant features, while being robust to monotonic variable transformations. Standard random forests, however, do not…

Computation · Statistics 2019-06-19 Taylor Pospisil , Ann B. Lee

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

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

It is often critical for prediction models to be robust to distributional shifts between training and testing data. From a causal perspective, the challenge is to distinguish the stable causal relationships from the unstable spurious…

Machine Learning · Computer Science 2021-01-15 Shuxi Zeng , Murat Ali Bayir , Joesph J. Pfeiffer , Denis Charles , Emre Kiciman

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

Random forest (Leo Breiman 2001a) (RF) is a non-parametric statistical method requiring no distributional assumptions on covariate relation to the response. RF is a robust, nonlinear technique that optimizes predictive accuracy by fitting…

Computation · Statistics 2016-12-30 John Ehrlinger

Regression trees and random forests are popular and effective non-parametric estimators in practical applications. A recent paper by Athey and Wager shows that the random forest estimate at any point is asymptotically Gaussian; in this…

Econometrics · Economics 2021-02-02 Kevin Li

We propose methods to improve the forecasts from generalized autoregressive score (GAS) models (Creal et. al, 2013; Harvey, 2013) by localizing their parameters using decision trees and random forests. These methods avoid the curse of…

Econometrics · Economics 2023-05-31 Andrew J. Patton , Yasin Simsek

A new approach called ABRF (the attention-based random forest) and its modifications for applying the attention mechanism to the random forest (RF) for regression and classification are proposed. The main idea behind the proposed ABRF…

Machine Learning · Computer Science 2022-01-11 Lev V. Utkin , Andrei V. Konstantinov

I develop Macroeconomic Random Forest (MRF), an algorithm adapting the canonical Machine Learning (ML) tool to flexibly model evolving parameters in a linear macro equation. Its main output, Generalized Time-Varying Parameters (GTVPs), is a…

Econometrics · Economics 2021-03-08 Philippe Goulet Coulombe

Breiman's random forest (RF) can be interpreted as an implicit kernel generator,where the ensuing proximity matrix represents the data-driven RF kernel. Kernel perspective on the RF has been used to develop a principled framework for…

Machine Learning · Statistics 2020-09-02 Dai Feng , Richard Baumgartner

Tree-based ensemble methods, as Random Forests and Gradient Boosted Trees, have been successfully used for regression in many applications and research studies. Furthermore, these methods have been extended in order to deal with uncertainty…

Machine Learning · Computer Science 2018-11-20 Myriam Tami , Marianne Clausel , Emilie Devijver , Adrien Dulac , Eric Gaussier , Stefan Janaqi , Meriam Chebre

Random forests is a state-of-the-art supervised machine learning method which behaves well in high-dimensional settings although some limitations may happen when $p$, the number of predictors, is much larger than the number of observations…

Methodology · Statistics 2019-02-01 Louis Capitaine , Robin Genuer , Rodolphe Thiébaut

Random Forest (RF) is an ensemble supervised machine learning technique that was developed by Breiman over a decade ago. Compared with other ensemble techniques, it has proved its accuracy and superiority. Many researchers, however, believe…

Machine Learning · Computer Science 2015-03-18 Khaled Fawagreh , Mohamad Medhat Gaber , Eyad Elyan

Tree based ensembles such as Breiman's random forest (RF) and Gradient Boosted Trees (GBT) can be interpreted as implicit kernel generators, where the ensuing proximity matrix represents the data-driven tree ensemble kernel. Kernel…

Machine Learning · Statistics 2020-12-22 Dai Feng , Richard Baumgartner

The emergence of Quantum Machine Learning (QML) to enhance traditional classical learning methods has seen various limitations to its realisation. There is therefore an imperative to develop quantum models with unique model hypotheses to…

Quantum Physics · Physics 2023-02-21 Maiyuren Srikumar , Charles D. Hill , Lloyd C. L. Hollenberg

To further develop the statistical inference problem for heterogeneous treatment effects, this paper builds on Breiman's (2001) random forest tree (RFT)and Wager et al.'s (2018) causal tree to parameterize the nonparametric problem using…

Econometrics · Economics 2022-03-15 Lai Xinglin

We study various types of consistency of honest decision trees and random forests in the regression setting. In contrast to related literature, our proofs are elementary and follow the classical arguments used for smoothing methods. Under…

Methodology · Statistics 2026-05-21 Martin Bladt , Rasmus Frigaard Lemvig