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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

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

Random forests have become an established tool for classification and regression, in particular in high-dimensional settings and in the presence of complex predictor-response relationships. For bounded outcome variables restricted to the…

Methodology · Statistics 2019-01-21 Leonie Weinhold , Matthias Schmid , Marvin N. Wright , Moritz Berger

Tree ensembles are one of the most widely used model classes. However, these models are susceptible to adversarial examples, i.e., slightly perturbed examples that elicit a misprediction. There has been significant research on designing…

Machine Learning · Computer Science 2024-02-14 Lorenzo Cascioli , Laurens Devos , Ondřej Kuželka , Jesse Davis

Recent advances have shown how decision trees are apt data structures for concisely representing strategies (or controllers) satisfying various objectives. Moreover, they also make the strategy more explainable. The recent tool dtControl…

Artificial Intelligence · Computer Science 2021-05-05 Pranav Ashok , Mathias Jackermeier , Jan Křetínský , Christoph Weinhuber , Maximilian Weininger , Mayank Yadav

We introduce Joint Probability Trees (JPT), a novel approach that makes learning of and reasoning about joint probability distributions tractable for practical applications. JPTs support both symbolic and subsymbolic variables in a single…

Machine Learning · Computer Science 2023-02-15 Daniel Nyga , Mareike Picklum , Tom Schierenbeck , Michael Beetz

How can we identify the training examples that contribute most to the prediction of a tree ensemble? In this paper, we introduce TREX, an explanation system that provides instance-attribution explanations for tree ensembles, such as random…

Machine Learning · Computer Science 2021-12-20 Jonathan Brophy , Daniel Lowd

Decision tree ensembles are widely used and competitive learning models. Despite their success, popular toolkits for learning tree ensembles have limited modeling capabilities. For instance, these toolkits support a limited number of loss…

Machine Learning · Computer Science 2022-05-20 Shibal Ibrahim , Hussein Hazimeh , Rahul Mazumder

Interpretability has become incredibly important as machine learning is increasingly used to inform consequential decisions. We propose to construct global explanations of complex, blackbox models in the form of a decision tree…

Machine Learning · Computer Science 2019-01-28 Osbert Bastani , Carolyn Kim , Hamsa Bastani

The field of machine learning is subject to an increasing interest in models that are not only accurate but also interpretable and robust, thus allowing their end users to understand and trust AI systems. This paper presents a novel method…

Machine Learning · Computer Science 2026-04-24 Valentin Lemaire , Gaël Aglin , Siegfried Nijssen

Multi-label classification is a challenging task, particularly in domains where the number of labels to be predicted is large. Deep neural networks are often effective at multi-label classification of images and textual data. When dealing…

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

Extensive research has produced robust methods for unsupervised data visualization. Yet supervised visualization$\unicode{x2013}$where expert labels guide representations$\unicode{x2013}$remains underexplored, as most supervised approaches…

Machine Learning · Computer Science 2025-05-20 Adrien Aumon , Shuang Ni , Myriam Lizotte , Guy Wolf , Kevin R. Moon , Jake S. Rhodes

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

Random forests are classical ensemble algorithms that construct multiple randomized decision trees and aggregate their predictions using naive averaging. \citet{zhou2019deep} further propose a deep forest algorithm with multi-layer forests,…

Machine Learning · Computer Science 2025-02-04 Shen-Huan Lyu , Jin-Hui Wu , Qin-Cheng Zheng , Baoliu Ye

The paper proposes a new variant of a decision tree, called an Extreme Learning Tree. It consists of an extremely random tree with non-linear data transformation, and a linear observer that provides predictions based on the leaf index where…

Machine Learning · Computer Science 2019-12-20 Anton Akusok , Emil Eirola , Kaj-Mikael Björk , Amaury Lendasse

Given an ensemble of randomized regression trees, it is possible to restructure them as a collection of multilayered neural networks with particular connection weights. Following this principle, we reformulate the random forest method of…

Machine Learning · Statistics 2018-04-04 Gérard Biau , Erwan Scornet , Johannes Welbl

We develop an empirical likelihood (EL) framework for random forests and related ensemble methods, providing a likelihood-based approach to quantify their statistical uncertainty. Exploiting the incomplete $U$-statistic structure inherent…

Machine Learning · Statistics 2025-11-19 Harold D. Chiang , Yukitoshi Matsushita , Taisuke Otsu

Decision trees are widely used for non-linear modeling, as they capture interactions between predictors while producing inherently interpretable models. Despite their popularity, performing inference on the non-linear fit remains largely…

Methodology · Statistics 2026-04-14 Soham Bakshi , Snigdha Panigrahi

Model trees provide an appealing way to perform interpretable machine learning for both classification and regression problems. In contrast to ``classic'' decision trees with constant values in their leaves, model trees can use linear…

Machine Learning · Computer Science 2026-03-11 Sabino Francesco Roselli , Eibe Frank

Random forests are an ensemble method relevant for many problems, such as regression or classification. They are popular due to their good predictive performance (compared to, e.g., decision trees) requiring only minimal tuning of…

Methodology · Statistics 2022-10-20 Nikolaus Umlauf , Nadja Klein
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