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We derive ensembles of decision trees through a nonparametric Bayesian model, allowing us to view random forests as samples from a posterior distribution. This insight provides large gains in interpretability, and motivates a class of…

Applications · Statistics 2015-05-19 Matt Taddy , Chun-Sheng Chen , Jun Yu , Mitch Wyle

Random Forests (RF) are among the most powerful and widely used predictive models for centralized tabular data, yet few methods exist to adapt them to the federated learning setting. Unlike most federated learning approaches, the…

Machine Learning · Statistics 2026-05-08 Rémi Khellaf , Erwan Scornet , Aurélien Bellet , Julie Josse

Manifold alignment is a type of data fusion technique that creates a shared low-dimensional representation of data collected from multiple domains, enabling cross-domain learning and improved performance in downstream tasks. This paper…

Machine Learning · Computer Science 2024-11-26 Jake S. Rhodes , Adam G. Rustad

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

A random forest prediction can be computed by the scalar product of the labels of the training examples and a set of weights that are determined by the leafs of the forest into which the test object falls; each prediction can hence be…

Machine Learning · Computer Science 2023-11-27 Henrik Boström

We present a simple, efficient model for learning boundary detection based on a random forest classifier. Our approach combines (1) efficient clustering of training examples based on simple partitioning of the space of local edge…

Computer Vision and Pattern Recognition · Computer Science 2015-06-30 Sam Hallman , Charless C. Fowlkes

Sampling-based motion planners perform exceptionally well in robotic applications that operate in high-dimensional space. However, most works often constrain the planning workspace rooted at some fixed locations, do not adaptively reason on…

Robotics · Computer Science 2021-03-09 Tin Lai

We introduce a new model of random tree that grows like a random recursive tree, except at some exceptional "doubling events" when the tree is replaced by two copies of itself attached to a new root. We prove asymptotic results for the size…

Probability · Mathematics 2025-12-08 Jakob E. Björnberg , Cécile Mailler

This paper proposes a new algorithm for learning accurate tree-based models while ensuring the existence of recourse actions. Algorithmic Recourse (AR) aims to provide a recourse action for altering the undesired prediction result given by…

Machine Learning · Computer Science 2024-06-04 Kentaro Kanamori , Takuya Takagi , Ken Kobayashi , Yuichi Ike

Isolation forest or "iForest" is an intuitive and widely used algorithm for anomaly detection that follows a simple yet effective idea: in a given data distribution, if a threshold (split point) is selected uniformly at random within the…

Machine Learning · Statistics 2021-12-07 David Cortes

We consider supervised learning with random decision trees, where the tree construction is completely random. The method is popularly used and works well in practice despite the simplicity of the setting, but its statistical mechanism is…

Machine Learning · Computer Science 2015-02-06 Mariusz Bojarski , Anna Choromanska , Krzysztof Choromanski , Yann LeCun

Ren et al. recently introduced a method for aggregating multiple decision trees into a strong predictor by interpreting a path taken by a sample down each tree as a binary vector and performing linear regression on top of these vectors…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Nenad Markuš , Ivan Gogić , Igor S. Pandžić , Jörgen Ahlberg

Many classification problems are naturally multi-view in the sense their data are described through multiple heterogeneous descriptions. For such tasks, dissimilarity strategies are effective ways to make the different descriptions…

Machine Learning · Computer Science 2020-07-17 Simon Bernard , Hongliu Cao , Robert Sabourin , Laurent Heutte

Random Forest (RF) is a powerful ensemble method for classification and regression tasks. It consists of decision trees set. Although, a single tree is well interpretable for human, the ensemble of trees is a black-box model. The popular…

Machine Learning · Computer Science 2014-07-17 Piotr Płoński , Krzysztof Zaremba

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

We propose an innovative statistical method, called Ordinal Mixed-Effect Random Forest (OMERF), that extends the use of random forest to the analysis of hierarchical data and ordinal responses. The model preserves the flexibility and…

Methodology · Statistics 2024-06-06 Giulia Bergonzoli , Lidia Rossi , Chiara Masci

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

The tree-based ensembles are known for their outstanding performance in classification and regression problems characterized by feature vectors represented by mixed-type variables from various ranges and domains. However, considering…

Machine Learning · Computer Science 2025-12-16 Patryk Wielopolski , Maciej Zięba

Binary trees are fundamental objects in models of evolutionary biology and population genetics. Here, we discuss some of their combinatorial and structural properties as they depend on the tree class considered. Furthermore, the process by…

Populations and Evolution · Quantitative Biology 2021-06-30 Thomas Wiehe

This paper proposes FREEtree, a tree-based method for high dimensional longitudinal data with correlated features. Popular machine learning approaches, like Random Forests, commonly used for variable selection do not perform well when there…

Machine Learning · Statistics 2020-06-18 Yuancheng Xu , Athanasse Zafirov , R. Michael Alvarez , Dan Kojis , Min Tan , Christina M. Ramirez
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