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Related papers: Exogenous Randomness Empowering Random Forests

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Random forests remain among the most popular off-the-shelf supervised learning algorithms. Despite their well-documented empirical success, however, until recently, few theoretical results were available to describe their performance and…

Machine Learning · Statistics 2021-11-17 Wei Peng , Tim Coleman , Lucas Mentch

Random feature methods have been successful in various machine learning tasks, are easy to compute, and come with theoretical accuracy bounds. They serve as an alternative approach to standard neural networks since they can represent…

Machine Learning · Statistics 2026-01-21 Abolfazl Hashemi , Hayden Schaeffer , Robert Shi , Ufuk Topcu , Giang Tran , Rachel Ward

In this paper we propose using the principle of boosting to reduce the bias of a random forest prediction in the regression setting. From the original random forest fit we extract the residuals and then fit another random forest to these…

Machine Learning · Statistics 2021-02-25 Indrayudh Ghosal , Giles Hooker

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

Recent studies have adopted an approach of selecting accurate and diverse trees based on individual or collective performance within an ensemble for classification and regression problems. This work follows in the wake of these…

Applications · Statistics 2020-05-20 Naz Gul , Nosheen Faiz , Dan Brawn , Rafal Kulakowski , Zardad Khan , Berthold Lausen

Analysis of sample survey data often requires adjustments to account for missing data in the outcome variables of principal interest. Standard adjustment methods based on item imputation or on propensity weighting factors rely heavily on…

Methodology · Statistics 2016-03-08 Wei-Yin Loh , John Eltinge , MoonJung Cho , Yuanzhi Li

The potential lack of fairness in the outputs of machine learning algorithms has recently gained attention both within the research community as well as in society more broadly. Surprisingly, there is no prior work developing tree-induction…

Machine Learning · Statistics 2017-12-25 Edward Raff , Jared Sylvester , Steven Mills

Random forest (RF) methodology is one of the most popular machine learning techniques for prediction problems. In this article, we discuss some cases where random forests may suffer and propose a novel generalized RF method, namely…

Machine Learning · Statistics 2019-04-24 Haozhe Zhang , Dan Nettleton , Zhengyuan Zhu

Random forests are among the most popular classification and regression methods used in industrial applications. To be effective, the parameters of random forests must be carefully tuned. This is usually done by choosing values that…

Machine Learning · Statistics 2018-07-03 C. H. Bryan Liu , Benjamin Paul Chamberlain , Duncan A. Little , Angelo Cardoso

Random forests (RFs) are among the most popular supervised learning algorithms due to their nonlinear flexibility and ease-of-use. However, as black box models, they can only be interpreted via algorithmically-defined feature importance…

Methodology · Statistics 2025-05-26 Abhineet Agarwal , Ana M. Kenney , Yan Shuo Tan , Tiffany M. Tang , Bin Yu

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

Classical methods for quantile regression fail in cases where the quantile of interest is extreme and only few or no training data points exceed it. Asymptotic results from extreme value theory can be used to extrapolate beyond the range of…

Methodology · Statistics 2024-01-23 Nicola Gnecco , Edossa Merga Terefe , Sebastian Engelke

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

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

The problem of subgroups is ubiquitous in scientific research (ex. disease heterogeneity, spatial distributions in ecology...), and piecewise regression is one way to deal with this phenomenon. Morse-Smale regression offers a way to…

Machine Learning · Statistics 2017-08-22 Colleen M. Farrelly

Ensemble methods are among the state-of-the-art predictive modeling approaches. Applied to modern big data, these methods often require a large number of sub-learners, where the complexity of each learner typically grows with the size of…

Machine Learning · Computer Science 2018-10-29 Amichai Painsky , Saharon Rosset

This research addresses the critical lack of comprehensive studies on feature scaling by systematically evaluating 12 scaling techniques - including several less common transformations - across 14 different Machine Learning algorithms and…

Random forests are a widely used machine learning algorithm, but their computational efficiency is undermined when applied to large-scale datasets with numerous instances and useless features. Herein, we propose a nonparametric feature…

Machine Learning · Computer Science 2022-01-19 Xiaojun Mao , Liuhua Peng , Zhonglei Wang

Random Forest is a machine learning method that offers many advantages, including the ability to easily measure variable importance. Class balancing technique is a well-known solution to deal with class imbalance problem. However, it has…

Machine Learning · Statistics 2023-12-19 Yunbi Nam , Sunwoo Han

Conventionally, random forests are built from "greedy" decision trees which each consider only one split at a time during their construction. The sub-optimality of greedy implementation has been well-known, yet mainstream adoption of more…

Machine Learning · Computer Science 2021-04-01 Delilah Donick , Sandro Claudio Lera