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We consider finding a counterfactual explanation for a classification or regression forest, such as a random forest. This requires solving an optimization problem to find the closest input instance to a given instance for which the forest…

Machine Learning · Computer Science 2023-03-07 Miguel Á. Carreira-Perpiñán , Suryabhan Singh Hada

In many statistical and econometric applications, we gather individual samples from various interconnected populations that undeniably exhibit common latent structures. Utilizing a model that incorporates these latent structures for such…

Methodology · Statistics 2023-09-19 Archer Gong Zhang , Jiahua Chen

The random forest algorithm, proposed by L. Breiman in 2001, has been extremely successful as a general-purpose classification and regression method. The approach, which combines several randomized decision trees and aggregates their…

Statistics Theory · Mathematics 2015-11-19 Gérard Biau , Erwan Scornet

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

A weighted random survival forest is presented in the paper. It can be regarded as a modification of the random forest improving its performance. The main idea underlying the proposed model is to replace the standard procedure of averaging…

Phylogenetic trees are key data objects in biology, and the method of phylogenetic reconstruction has been highly developed. The space of phylogenetic trees is a nonpositively curved metric space. Recently, statistical methods to analyze…

Methodology · Statistics 2022-11-23 Yuki Takazawa , Tomonari Sei

By seeking the narrowest prediction intervals (PIs) that satisfy the specified coverage probability requirements, the recently proposed quality-based PI learning principle can extract high-quality PIs that better summarize the predictive…

Machine Learning · Computer Science 2019-07-23 Lin Zhu , Jiaxing Lu , Yihong Chen

Connected acyclic graphs (trees) are data objects that hierarchically organize categories. Collections of trees arise in a diverse variety of fields, including evolutionary biology, public health, machine learning, social sciences and…

Methodology · Statistics 2025-12-01 Maria Alejandra Valdez Cabrera , Amy D Willis , Armeen Taeb

Random forests are a powerful method for non-parametric regression, but are limited in their ability to fit smooth signals, and can show poor predictive performance in the presence of strong, smooth effects. Taking the perspective of random…

Machine Learning · Statistics 2020-09-08 Rina Friedberg , Julie Tibshirani , Susan Athey , Stefan Wager

Within machine learning, the supervised learning field aims at modeling the input-output relationship of a system, from past observations of its behavior. Decision trees characterize the input-output relationship through a series of nested…

Machine Learning · Statistics 2019-05-20 Arnaud Joly

We propose methods for density estimation and data synthesis using a novel form of unsupervised random forests. Inspired by generative adversarial networks, we implement a recursive procedure in which trees gradually learn structural…

Machine Learning · Statistics 2023-03-14 David S. Watson , Kristin Blesch , Jan Kapar , Marvin N. Wright

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

Dealing with datasets of very high dimension is a major challenge in machine learning. In this paper, we consider the problem of feature selection in applications where the memory is not large enough to contain all features. In this…

Machine Learning · Statistics 2017-09-07 Antonio Sutera , Célia Châtel , Gilles Louppe , Louis Wehenkel , Pierre Geurts

Random forests is a state-of-the-art supervised machine learning method which behaves well in high-dimensional settings although some limitations may happen when $p$, the number of predictors, is much larger than the number of observations…

Methodology · Statistics 2019-02-01 Louis Capitaine , Robin Genuer , Rodolphe Thiébaut

Random forests are one of the most popular machine learning methods due to their accuracy and variable importance assessment. However, random forests only provide variable importance in a global sense. There is an increasing need for such…

Methodology · Statistics 2021-03-25 Joshua Daniel Loyal , Ruoqing Zhu , Yifan Cui , Xin Zhang

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

We propose a random forest estimator for the intensity of spatial point processes, applicable with or without covariates. It retains the well-known advantages of a random forest approach, including the ability to handle a large number of…

Methodology · Statistics 2025-11-13 Christophe Biscio , Frédéric Lavancier

Random forest (RF) stands out as a highly favored machine learning approach for classification problems. The effectiveness of RF hinges on two key factors: the accuracy of individual trees and the diversity among them. In this study, we…

Machine Learning · Computer Science 2024-10-28 Ye-eun Kim , Seoung Yun Kim , Hyunjoong Kim

We propose a principled method for autoencoding with random forests. Our strategy builds on foundational results from nonparametric statistics and spectral graph theory to learn a low-dimensional embedding of the model that optimally…

Machine Learning · Statistics 2026-01-16 Binh Duc Vu , Jan Kapar , Marvin Wright , David S. Watson

As a flexible nonparametric learning tool, the random forests algorithm has been widely applied to various real applications with appealing empirical performance, even in the presence of high-dimensional feature space. Unveiling the…

Statistics Theory · Mathematics 2022-09-27 Chien-Ming Chi , Patrick Vossler , Yingying Fan , Jinchi Lv