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Related papers: To Bag is to Prune

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Random forests perform bootstrap-aggregation by sampling the training samples with replacement. This enables the evaluation of out-of-bag error which serves as a internal cross-validation mechanism. Our motivation lies in using the…

Machine Learning · Statistics 2017-07-20 Kiran Bangalore Ravi , Jean Serra

Random Forests (RFs) are among the state-of-the-art in machine learning and offer excellent performance with nearly zero parameter tuning. Remarkably, RFs seem to be impervious to overfitting even though their basic building blocks are…

Machine Learning · Computer Science 2021-11-09 Sebastian Buschjäger , Katharina Morik

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 Forests (RF) are among the state-of-the-art in many machine learning applications. With the ongoing integration of ML models into everyday life, the deployment and continuous application of models becomes more and more an important…

Machine Learning · Computer Science 2021-10-20 Sebastian Buschjäger , Katharina Morik

The random forest (RF) algorithm has become a very popular prediction method for its great flexibility and promising accuracy. In RF, it is conventional to put equal weights on all the base learners (trees) to aggregate their predictions.…

Machine Learning · Statistics 2023-05-18 Xinyu Chen , Dalei Yu , Xinyu Zhang

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

Random forests are ensemble learning methods introduced by Breiman (2001) that operate by averaging several decision trees built on a randomly selected subspace of the data set. Despite their widespread use in practice, the respective roles…

Statistics Theory · Mathematics 2016-03-15 Roxane Duroux , Erwan Scornet

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 propose to prune a random forest (RF) for resource-constrained prediction. We first construct a RF and then prune it to optimize expected feature cost & accuracy. We pose pruning RFs as a novel 0-1 integer program with linear constraints…

Machine Learning · Statistics 2016-06-17 Feng Nan , Joseph Wang , Venkatesh Saligrama

We demonstrate that adaptively controlling the size of individual regression trees in a random forest can improve predictive performance, contrary to the conventional wisdom that trees should be fully grown. A fast pruning algorithm,…

Machine Learning · Statistics 2024-08-15 Nikola Surjanovic , Andrew Henrey , Thomas M. Loughin

Random forests (RFs) utilize bootstrap sampling to generate individual training sets for each component tree by sampling with replacement, with the sample size typically equal to that of the original training set ($N$). Previous research…

Machine Learning · Computer Science 2025-10-23 Stanisław Kaźmierczak , Jacek Mańdziuk

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

Several studies have shown that combining machine learning models in an appropriate way will introduce improvements in the individual predictions made by the base models. The key to make well-performing ensemble model is in the diversity of…

Machine Learning · Computer Science 2021-03-01 Mohsen Shahhosseini , Guiping Hu

Random Forests (RF) is a popular machine learning method for classification and regression problems. It involves a bagging application to decision tree models. One of the primary advantages of the Random Forests model is the reduction in…

Machine Learning · Statistics 2022-07-06 Sai K Popuri

Random Forests (RFs) typically train each tree on a bootstrap sample of the same size as the training set, i.e., bootstrap rate (BR) equals 1.0. We systematically examine how varying BR from 0.2 to 5.0 affects RF performance across 39…

Random Forest (RF) is a widely used ensemble learning technique known for its robust classification performance across diverse domains. However, it often relies on hundreds of trees and all input features, leading to high inference cost and…

Machine Learning · Computer Science 2025-07-08 Sijan Bhattarai , Saurav Bhandari , Girija Bhusal , Saroj Shakya , Tapendra Pandey

Over the past decade, random forest models have become widely used as a robust method for high-dimensional data regression tasks. In part, the popularity of these models arises from the fact that they require little hyperparameter tuning…

Machine Learning · Computer Science 2020-03-18 Shipra Malhotra , John Karanicolas

Due to their long-standing reputation as excellent off-the-shelf predictors, random forests continue remain a go-to model of choice for applied statisticians and data scientists. Despite their widespread use, however, until recently, little…

Machine Learning · Statistics 2021-04-01 Siyu Zhou , Lucas Mentch

Statistical wisdom suggests that very complex models, interpolating training data, will be poor at predicting unseen examples.Yet, this aphorism has been recently challenged by the identification of benign overfitting regimes, specially…

Statistics Theory · Mathematics 2023-02-10 Ludovic Arnould , Claire Boyer , Erwan Scornet

Random forest regression (RF) is an extremely popular tool for the analysis of high-dimensional data. Nonetheless, its benefits may be lessened in sparse settings due to weak predictors, and a pre-estimation dimension reduction (targeting)…

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