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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

Ensemble learning is a process by which multiple base learners are strategically generated and combined into one composite learner. There are two features that are essential to an ensemble's performance, the individual accuracies of the…

Machine Learning · Computer Science 2021-09-30 Wenjing Li , Randy C. Paffenroth , David Berthiaume

This work develops formal statistical inference procedures for machine learning ensemble methods. Ensemble methods based on bootstrapping, such as bagging and random forests, have improved the predictive accuracy of individual trees, but…

Machine Learning · Statistics 2015-09-11 Lucas Mentch , Giles Hooker

In this article, we strengthen the proof methods of some previously weakly consistent variants of random forests into strongly consistent proof methods, and improve the data utilization of these variants, in order to obtain better…

Machine Learning · Statistics 2023-04-11 Junhao Chen , Xueli wang

The random forest algorithm (RF) has several hyperparameters that have to be set by the user, e.g., the number of observations drawn randomly for each tree and whether they are drawn with or without replacement, the number of variables…

Machine Learning · Statistics 2019-02-27 Philipp Probst , Marvin Wright , Anne-Laure Boulesteix

We present a new way of constructing an ensemble classifier, named the Guided Random Forest (GRAF) in the sequel. GRAF extends the idea of building oblique decision trees with localized partitioning to obtain a global partitioning. We show…

Machine Learning · Computer Science 2025-08-08 Prashant Gupta , Aashi Jindal , Jayadeva , Debarka Sengupta

The number of trees T in the random forest (RF) algorithm for supervised learning has to be set by the user. It is controversial whether T should simply be set to the largest computationally manageable value or whether a smaller T may in…

Machine Learning · Statistics 2019-03-11 Philipp Probst , Anne-Laure Boulesteix

Random forest (RF) is one of the most popular methods for estimating regression functions. The local nature of the RF algorithm, based on intra-node means and variances, is ideal when errors are i.i.d. For dependent error processes like…

Machine Learning · Statistics 2021-06-29 Arkajyoti Saha , Sumanta Basu , Abhirup Datta

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

The prevailing mindset is that a single decision tree underperforms classic random forests in testing accuracy, despite its advantages in interpretability and lightweight structure. This study challenges such a mindset by significantly…

Machine Learning · Computer Science 2024-11-27 Qiangqiang Mao , Yankai Cao

Ensembles of decision trees are a useful tool for obtaining for obtaining flexible estimates of regression functions. Examples of these methods include gradient boosted decision trees, random forests, and Bayesian CART. Two potential…

Methodology · Statistics 2018-09-18 Antonio Ricardo Linero , Yun Yang

Spatially Coherent Random Forest (SCRF) extends Random Forest to create spatially coherent labeling. Each split function in SCRF is evaluated based on a traditional information gain measure that is regularized by a spatial coherency term.…

Computer Vision and Pattern Recognition · Computer Science 2015-12-08 Tal Remez , Shai Avidan

In this paper, Bayesian based aggregation of decision trees in an ensemble (decision forest) is investigated. The focus is laid on multi-class classification with number of samples significantly skewed toward one of the classes. The…

Machine Learning · Computer Science 2021-07-27 Jan Brabec , Lukas Machlica

Random Forests (RF) and Extreme Gradient Boosting (XGBoost) are two of the most widely used and highly performing classification and regression models. They aggregate equally weighted CART trees, generated randomly in RF or sequentially in…

Machine Learning · Computer Science 2025-10-28 Dimitris Bertsimas , Yubing Cui

Wisdom of the crowd revealed a striking fact that the majority answer from a crowd is often more accurate than any individual expert. We observed the same story in machine learning--ensemble methods leverage this idea to combine multiple…

Machine Learning · Computer Science 2019-10-01 Tianyi Luo , Yang Liu

In this paper, we propose DiFF-RF, an ensemble approach composed of random partitioning binary trees to detect point-wise and collective (as well as contextual) anomalies. Thanks to a distance-based paradigm used at the leaves of the trees,…

Machine Learning · Computer Science 2021-01-15 Pierre-Francois Marteau

Decision Trees (DTs) and Random Forests (RFs) are powerful discriminative learners and tools of central importance to the everyday machine learning practitioner and data scientist. Due to their discriminative nature, however, they lack…

Machine Learning · Computer Science 2020-11-20 Alvaro H. C. Correia , Robert Peharz , Cassio de Campos

Approximate Bayesian computation (ABC) methods provide an elaborate approach to Bayesian inference on complex models, including model choice. Both theoretical arguments and simulation experiments indicate, however, that model posterior…

We propose a method for transfer learning in nonparametric regression using a random forest (RF) with distance covariance-based feature weights, assuming the unknown source and target regression functions are sparsely different. Our method…

Machine Learning · Statistics 2026-03-17 Chenze Li , Subhadeep Paul

We study the effectiveness of non-uniform randomized feature selection in decision tree classification. We experimentally evaluate two feature selection methodologies, based on information extracted from the provided dataset: $(i)$…

Machine Learning · Statistics 2014-03-25 Anastasios Kyrillidis , Anastasios Zouzias