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We study the convergence of the predictive surface of regression trees and forests. To support our analysis we introduce a notion of adaptive concentration for regression trees. This approach breaks tree training into a model selection…

Statistics Theory · Mathematics 2016-05-03 Stefan Wager , Guenther Walther

Data analysis and machine learning have become an integrative part of the modern scientific methodology, offering automated procedures for the prediction of a phenomenon based on past observations, unraveling underlying patterns in data and…

Machine Learning · Statistics 2015-06-04 Gilles Louppe

In materials science, data-driven methods accelerate material discovery and optimization while reducing costs and improving success rates. Symbolic regression is a key to extracting material descriptors from large datasets, in particular…

Machine Learning · Computer Science 2024-10-01 Xiaolin Jiang , Guanqi Liu , Jiaying Xie , Zhenpeng Hu

Capturing the conditional covariances or correlations among the elements of a multivariate response vector based on covariates is important to various fields including neuroscience, epidemiology and biomedicine. We propose a new method…

Methodology · Statistics 2023-05-12 Cansu Alakus , Denis Larocque , Aurelie Labbe

The interpretability of random forest (RF) models is a research topic of growing interest in the machine learning (ML) community. In the state of the art, RF is considered a powerful learning ensemble given its predictive performance,…

Machine Learning · Computer Science 2024-07-18 Maissae Haddouchi , Abdelaziz Berrado

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

Canonical distances such as Euclidean distance often fail to capture the appropriate relationships between items, subsequently leading to subpar inference and prediction. Many algorithms have been proposed for automated learning of suitable…

Machine Learning · Statistics 2020-08-24 Tyler M. Tomita , Joshua T. Vogelstein

Multi-target regression is useful in a plethora of applications. Although random forest models perform well in these tasks, they are often difficult to interpret. Interpretability is crucial in machine learning, especially when it can…

Machine Learning · Computer Science 2023-03-30 Avraam Bardos , Nikolaos Mylonas , Ioannis Mollas , Grigorios Tsoumakas

In this paper we analyze, evaluate, and improve the performance of training Random Forest (RF) models on modern CPU architectures. An exact, state-of-the-art binary decision tree building algorithm is used as the basis of this study.…

We initiate a novel approach to explain the predictions and out of sample performance of random forest (RF) regression and classification models by exploiting the fact that any RF can be mathematically formulated as an adaptive weighted K…

Random features (RFs) are a popular technique to scale up kernel methods in machine learning, replacing exact kernel evaluations with stochastic Monte Carlo estimates. They underpin models as diverse as efficient transformers (by…

Machine Learning · Statistics 2024-10-04 Isaac Reid , Stratis Markou , Krzysztof Choromanski , Richard E. Turner , Adrian Weller

Random forests are a scheme proposed by Leo Breiman in the 2000's for building a predictor ensemble with a set of decision trees that grow in randomly selected subspaces of data. Despite growing interest and practical use, there has been…

Machine Learning · Statistics 2012-03-28 Gérard Biau

Random Forest (RF) is a widely used machine learning algorithm known for its flexibility, user-friendliness, and high predictive performance across various domains. However, it is non-interpretable. This can limit its usefulness in applied…

Machine Learning · Statistics 2024-08-13 Luca Patelli , Natalia Golini , Rosaria Ignaccolo , Michela Cameletti

Random Forests have been one of the most popular bagging methods in the past few decades, especially due to their success at handling tabular datasets. They have been extensively studied and compared to boosting models, like XGBoost, which…

Machine Learning · Computer Science 2024-10-28 Dimitris Bertsimas , Vasiliki Stoumpou

This paper presents a novel ensemble learning approach called Residual Likelihood Forests (RLF). Our weak learners produce conditional likelihoods that are sequentially optimized using global loss in the context of previous learners within…

Machine Learning · Statistics 2020-11-05 Yan Zuo , Tom Drummond

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

Predicting rare outcomes such as startup success is central to venture capital, demanding models that are both accurate and interpretable. We introduce Random Rule Forest (RRF), a lightweight ensemble method that uses a large language model…

Artificial Intelligence · Computer Science 2025-09-17 Ben Griffin , Diego Vidaurre , Ugur Koyluoglu , Joseph Ternasky , Fuat Alican , Yigit Ihlamur

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

Regression forests have long delivered state-of-the-art accuracy, often outperforming regression trees and even neural networks, but they suffer from limited interpretability as ensemble methods. In this work, we revisit forest pruning, an…

Machine Learning · Statistics 2025-03-10 Albert Dorador

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
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