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Random Forest (Breiman, 2001) is a successful and widely used regression and classification algorithm. Part of its appeal and reason for its versatility is its (implicit) construction of a kernel-type weighting function on training data,…

Machine Learning · Statistics 2022-10-13 Domagoj Ćevid , Loris Michel , Jeffrey Näf , Nicolai Meinshausen , Peter Bühlmann

Random Forest (RF) is an ensemble classification 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 that there…

Machine Learning · Computer Science 2015-03-19 Khaled Fawagreh , Mohamad Medhat Gaber , Eyad Elyan

Random Forest's performance can be matched by a single slow-growing tree (SGT), which uses a learning rate to tame CART's greedy algorithm. SGT exploits the view that CART is an extreme case of an iterative weighted least square procedure.…

Machine Learning · Statistics 2021-07-15 Philippe Goulet Coulombe

The effect of training data size on machine learning methods has been well investigated over the past two decades. The predictive performance of tree based machine learning methods, in general, improves with a decreasing rate as the size of…

Machine Learning · Statistics 2021-01-01 Zardad Khan , Naz Gul , Nosheen Faiz , Asma Gul , Werner Adler , Berthold Lausen

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

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

Random Forest remains one of Data Mining's most enduring ensemble algorithms, achieving well-documented levels of accuracy and processing speed, as well as regularly appearing in new research. However, with data mining now reaching the…

Machine Learning · Computer Science 2020-04-07 Darren Yates , Md Zahidul Islam

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

The Distributional Random Forest (DRF) is a recently introduced Random Forest algorithm to estimate multivariate conditional distributions. Due to its general estimation procedure, it can be employed to estimate a wide range of targets such…

Statistics Theory · Mathematics 2023-12-20 Jeffrey Näf , Corinne Emmenegger , Peter Bühlmann , Nicolai Meinshausen

This work addresses the task of camera localization in a known 3D scene given a single input RGB image. State-of-the-art approaches accomplish this in two steps: firstly, regressing for every pixel in the image its 3D scene coordinate and…

Computer Vision and Pattern Recognition · Computer Science 2017-07-14 Daniela Massiceti , Alexander Krull , Eric Brachmann , Carsten Rother , Philip H. S. Torr

Tree ensembles such as random forests (RFs) and gradient boosting machines (GBMs) are among the most widely used supervised learners, yet their theoretical properties remain incompletely understood. We adopt a spectral perspective on these…

Machine Learning · Statistics 2026-05-13 Binh Duc Vu , David S. Watson

Natural gradient has been recently introduced to the field of boosting to enable the generic probabilistic predication capability. Natural gradient boosting shows promising performance improvements on small datasets due to better training…

Machine Learning · Computer Science 2019-12-06 Liliang Ren , Gen Sun , Jiaman Wu

We give examples of data-generating models under which Breiman's random forest may be extremely slow to converge to the optimal predictor or even fail to be consistent. The evidence provided for these properties is based on mostly intuitive…

Machine Learning · Statistics 2021-12-01 José A. Ferreira

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

This article focuses on the prediction of the vibration frequency response of handheld probes. A novel approach that involves machine learning and readily available data from probes was explored. Vibration probes are efficient and…

Applied Physics · Physics 2024-02-09 Roberto San Millán-Castillo , Eduardo Morgado , Rebeca Goya Esteban

Bootstrapping can produce confidence levels for hypotheses about quadratic regression models - such as whether the U-shape is inverted, and the location of optima. The method has several advantages over conventional methods: it provides…

Methodology · Statistics 2012-07-09 Michael Wood

Reinforcement learning algorithms can show strong variation in performance between training runs with different random seeds. In this paper we explore how this affects hyperparameter optimization when the goal is to find hyperparameter…

Machine Learning · Computer Science 2020-07-31 Lars Hertel , Pierre Baldi , Daniel L. Gillen

Environmental data may be "large" due to number of records, number of covariates, or both. Random forests has a reputation for good predictive performance when using many covariates with nonlinear relationships, whereas spatial regression,…

Applications · Statistics 2018-12-27 Eric W. Fox , Jay M. Ver Hoef , Anthony R. Olsen

Reinforcement learning (RL) has become widely adopted in robot control. Despite many successes, one major persisting problem can be very low data efficiency. One solution is interactive feedback, which has been shown to speed up RL…

Robotics · Computer Science 2026-04-29 Daniel Harnack , Julie Pivin-Bachler , Nicolás Navarro-Guerrero

Cross-validation is a widely used technique for evaluating the performance of prediction models, ranging from simple binary classification to complex precision medicine strategies. It helps correct for optimism bias in error estimates,…