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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…

机器学习 · 统计学 2018-04-04 Gérard Biau , Erwan Scornet , Johannes Welbl

We propose a novel methodology, forest floor, to visualize and interpret random forest (RF) models. RF is a popular and useful tool for non-linear multi-variate classification and regression, which yields a good trade-off between robustness…

机器学习 · 统计学 2016-07-05 Soeren H. Welling , Hanne H. F. Refsgaard , Per B. Brockhoff , Line H. Clemmensen

Random forests (RFs) are among the most popular supervised learning algorithms due to their nonlinear flexibility and ease-of-use. However, as black box models, they can only be interpreted via algorithmically-defined feature importance…

统计方法学 · 统计学 2025-05-26 Abhineet Agarwal , Ana M. Kenney , Yan Shuo Tan , Tiffany M. Tang , Bin Yu

Environmental data may be "large" due to number of records, number of covariates, or both. Random forests has a reputation for good predictive performance when using many covariates with nonlinear relationships, whereas spatial regression,…

应用统计 · 统计学 2018-12-27 Eric W. Fox , Jay M. Ver Hoef , Anthony R. Olsen

Like many predictive models, random forests provide point predictions for new observations. Besides the point prediction, it is important to quantify the uncertainty in the prediction. Prediction intervals provide information about the…

机器学习 · 统计学 2022-03-09 Cansu Alakus , Denis Larocque , Aurelie Labbe

Spatially Coherent Random Forest (SCRF) extends Random Forest to create spatially coherent labeling. Each split function in SCRF is evaluated based on a traditional information gain measure that is regularized by a spatial coherency term.…

计算机视觉与模式识别 · 计算机科学 2015-12-08 Tal Remez , Shai Avidan

Due to their accuracies, methods based on ensembles of regression trees are a popular approach for making predictions. Some common examples include Bayesian additive regression trees, boosting and random forests. This paper focuses on…

统计方法学 · 统计学 2019-11-15 Suofei Wu , Jan Hannig , Thomas C. M. Lee

This paper introduces a novel nonparametric method for estimating high-dimensional dynamic covariance matrices with multiple conditioning covariates, leveraging random forests and supported by robust theoretical guarantees. Unlike…

机器学习 · 统计学 2025-05-20 Shuguang Yu , Fan Zhou , Yingjie Zhang , Ziqi Chen , Hongtu Zhu

This paper promotes the use of random forests as versatile tools for estimating spatially disaggregated indicators in the presence of small area-specific sample sizes. Small area estimators are predominantly conceptualized within the…

统计方法学 · 统计学 2025-06-19 Patrick Krennmair , Timo Schmid

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…

机器学习 · 统计学 2020-11-05 Yan Zuo , Tom Drummond

Most machine learning-based regressors extract information from data collected via past observations of limited length to make predictions in the future. Consequently, when input to these trained models is data with significantly different…

机器学习 · 计算机科学 2022-06-22 Harsh Vardhan , Janos Sztipanovits

Label ranking aims to learn a mapping from instances to rankings over a finite number of predefined labels. Random forest is a powerful and one of the most successful general-purpose machine learning algorithms of modern times. In this…

机器学习 · 计算机科学 2018-06-19 Yangming Zhou , Guoping Qiu

We develop a finite-sample, design-based theory for random forests in which each tree is a randomized conditional predictor acting on fixed covariates and the forest is their Monte Carlo average. An exact variance identity separates Monte…

机器学习 · 统计学 2026-03-03 Nathaniel S. O'Connell

We propose random hinge forests, a simple, efficient, and novel variant of decision forests. Importantly, random hinge forests can be readily incorporated as a general component within arbitrary computation graphs that are optimized…

机器学习 · 统计学 2018-03-02 Nathan Lay , Adam P. Harrison , Sharon Schreiber , Gitesh Dawer , Adrian Barbu

Predictive models make mistakes. Hence, there is a need to quantify the uncertainty associated with their predictions. Conformal inference has emerged as a powerful tool to create statistically valid prediction regions around point…

机器学习 · 统计学 2024-02-14 Luben M. C. Cabezas , Mateus P. Otto , Rafael Izbicki , Rafael B. Stern

Random forests remain among the most popular off-the-shelf supervised machine learning tools with a well-established track record of predictive accuracy in both regression and classification settings. Despite their empirical success as well…

机器学习 · 统计学 2020-09-15 Lucas Mentch , Siyu Zhou

This paper derives a unifying theorem establishing consistency results for a broad class of tree-based algorithms. It improves current results in two aspects. First of all, it can be applied to algorithms that vary from traditional Random…

统计理论 · 数学 2024-02-22 Ricardo Blum , Munir Hiabu , Enno Mammen , Joseph T. Meyer

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…

人工智能 · 计算机科学 2025-09-17 Ben Griffin , Diego Vidaurre , Ugur Koyluoglu , Joseph Ternasky , Fuat Alican , Yigit Ihlamur

While circular data occur in a wide range of scientific fields, the methodology for distributional modeling and probabilistic forecasting of circular response variables is rather limited. Most of the existing methods are built on the…

统计方法学 · 统计学 2025-10-07 Moritz N. Lang , Lisa Schlosser , Torsten Hothorn , Georg J. Mayr , Reto Stauffer , Achim Zeileis

Regression trees are a popular machine learning algorithm that fit piecewise constant models by recursively partitioning the predictor space. This paper focuses on statistical inference for a data-dependent model obtained from a fitted…

统计方法学 · 统计学 2025-12-17 Soham Bakshi , Yiling Huang , Snigdha Panigrahi , Walter Dempsey