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Related papers: Analysis of purely random forests bias

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We introduce an exact distributed algorithm to train Random Forest models as well as other decision forest models without relying on approximating best split search. We explain the proposed algorithm and compare it to related approaches for…

Machine Learning · Computer Science 2018-04-19 Mathieu Guillame-Bert , Olivier Teytaud

Random Forests have been extensively used in regression and classification, inspiring the development of various forest-based methods. Among these, Mondrian Forests, derived from the Mondrian process, mark a significant advancement.…

Statistics Theory · Mathematics 2025-02-28 Haoran Zhan , Jingli Wang , Yingcun Xia

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 forests are classical ensemble algorithms that construct multiple randomized decision trees and aggregate their predictions using naive averaging. \citet{zhou2019deep} further propose a deep forest algorithm with multi-layer forests,…

Machine Learning · Computer Science 2025-02-04 Shen-Huan Lyu , Jin-Hui Wu , Qin-Cheng Zheng , Baoliu Ye

We consider growing random recursive trees in random environment, in which at each step a new vertex is attached (by an edge of a random length) to an existing tree vertex according to a probability distribution that assigns the tree…

Probability · Mathematics 2007-05-23 Konstantin Borovkov , Vladimir Vatutin

This paper presents a new approach for trees-based regression, such as simple regression tree, random forest and gradient boosting, in settings involving correlated data. We show the problems that arise when implementing standard…

Methodology · Statistics 2021-08-09 Assaf Rabinowicz , Saharon Rosset

Since their introduction by Breiman, Random Forests (RFs) have proven to be useful for both classification and regression tasks. The RF prediction of a previously unseen observation can be represented as a weighted sum of all training…

Applications · Statistics 2025-08-21 Nils Koster , Fabian Krüger

We consider supervised learning with random decision trees, where the tree construction is completely random. The method is popularly used and works well in practice despite the simplicity of the setting, but its statistical mechanism is…

Machine Learning · Computer Science 2015-02-06 Mariusz Bojarski , Anna Choromanska , Krzysztof Choromanski , Yann LeCun

Random forests have become an important tool for improving accuracy in regression and classification problems since their inception by Leo Breiman in 2001. In this paper, we revisit a historically important random forest model originally…

Machine Learning · Statistics 2020-06-24 Jason M. Klusowski

Quantifying the usefulness of individual features in random forests learning can greatly enhance its interpretability. Existing studies have shown that some popularly used feature importance measures for random forests suffer from the bias…

Machine Learning · Statistics 2023-11-14 Chien-Ming Chi , Yingying Fan , Jinchi Lv

Decision trees are important both as interpretable models amenable to high-stakes decision-making, and as building blocks of ensemble methods such as random forests and gradient boosting. Their statistical properties, however, are not well…

Machine Learning · Statistics 2021-10-20 Yan Shuo Tan , Abhineet Agarwal , Bin Yu

We study the effectiveness of randomizing split-directions in random forests. Prior literature has shown that, on the one hand, randomization can reduce variance through decorrelation, and, on the other hand, randomization regularizes and…

Machine Learning · Statistics 2025-04-18 C. Revelas , O. Boldea , B. J. M. Werker

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

The Random Forest model is one of the popular models of Machine learning. We present a quantum algorithm for testing (forecasting) process of the Random Forest machine learning model for the Regression problem. The presented algorithm is…

Quantum Physics · Physics 2026-03-25 Kamil Khadiev , Liliya Safina

Within machine learning, the supervised learning field aims at modeling the input-output relationship of a system, from past observations of its behavior. Decision trees characterize the input-output relationship through a series of nested…

Machine Learning · Statistics 2019-05-20 Arnaud Joly

In a multivariate nonparametric regression setting we construct explicit asymptotic uniform confidence bands for centered purely random forests. Since the most popular example in this class of random forests, namely the uniformly centered…

Statistics Theory · Mathematics 2025-11-18 Natalie Neumeyer , Jan Rabe , Mathias Trabs

We propose generalized random forests, a method for non-parametric statistical estimation based on random forests (Breiman, 2001) that can be used to fit any quantity of interest identified as the solution to a set of local moment…

Methodology · Statistics 2018-04-06 Susan Athey , Julie Tibshirani , Stefan Wager

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 induction of additional randomness in parallel and sequential ensemble methods has proven to be worthwhile in many aspects. In this manuscript, we propose and examine a novel random tree depth injection approach suitable for sequential…

Machine Learning · Statistics 2020-09-15 Tobias Markus Krabel , Thi Ngoc Tien Tran , Andreas Groll , Daniel Horn , Carsten Jentsch

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
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