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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…

Machine Learning · Statistics 2022-03-09 Cansu Alakus , Denis Larocque , Aurelie Labbe

We characterize and study variable importance (VIMP) and pairwise variable associations in binary regression trees. A key component involves the node mean squared error for a quantity we refer to as a maximal subtree. The theory naturally…

Machine Learning · Statistics 2009-09-29 Hemant Ishwaran

Estimation of individual treatment effect in observational data is complicated due to the challenges of confounding and selection bias. A useful inferential framework to address this is the counterfactual (potential outcomes) model which…

Machine Learning · Statistics 2017-01-23 Min Lu , Saad Sadiq , Daniel J. Feaster , Hemant Ishwaran

Tree ensemble methods such as random forests [Breiman, 2001] are very popular to handle high-dimensional tabular data sets, notably because of their good predictive accuracy. However, when machine learning is used for decision-making…

Statistics Theory · Mathematics 2021-12-28 Erwan Scornet

The idea of "stratified medicine" is an important driver of methodological research on the identification of predictive biomarkers. Most methods proposed so far for this purpose have been developed for the use on randomized data only.…

Methodology · Statistics 2022-12-19 Julia Krzykalla , Axel Benner , Annette Kopp-Schneider

The Distributional Random Forest (DRF) is a recently introduced Random Forest algorithm to estimate multivariate conditional distributions. Due to its general estimation procedure, it can be employed to estimate a wide range of targets such…

Statistics Theory · Mathematics 2023-12-20 Jeffrey Näf , Corinne Emmenegger , Peter Bühlmann , Nicolai Meinshausen

High-dimensional biomarkers such as genomics are increasingly being measured in randomized clinical trials. Consequently, there is a growing interest in developing methods that improve the power to detect biomarker-treatment interactions.…

Methodology · Statistics 2021-04-30 Jixiong Wang , Ashish Patel , James M. S. Wason , Paul J. Newcombe

One component of precision medicine is to construct prediction models with their predictive ability as high as possible, e.g. to enable individual risk prediction. In genetic epidemiology, complex diseases have a polygenic basis and a…

Machine Learning · Statistics 2019-01-28 Damian Gola , Inke R. König

Estimation of heterogeneous treatment effects (HTE) is of prime importance in many disciplines, ranging from personalized medicine to economics among many others. Random forests have been shown to be a flexible and powerful approach to HTE…

Methodology · Statistics 2025-10-07 Susanne Dandl , Torsten Hothorn , Heidi Seibold , Erik Sverdrup , Stefan Wager , Achim Zeileis

We propose a prognostic stratum matching framework that addresses the deficiencies of Randomized trial data subgroup analysis and transforms ObservAtional Data to be used as if they were randomized, thus paving the road for precision…

Applications · Statistics 2023-11-06 Dimitris Bertsimas , Angelos G. Koulouras , Georgios Antonios Margonis

Motivation: Over the past decade, network-based approaches have proven useful in identifying disease modules within the human interactome, often providing insights into key mechanisms and guiding the quest for therapeutic targets. This is…

Quantitative Methods · Quantitative Biology 2022-11-30 Michele Gentili , Leonardo Martini , Marialuisa Sponziello , Luca Becchetti

Random forest (Leo Breiman 2001a) (RF) is a non-parametric statistical method requiring no distributional assumptions on covariate relation to the response. RF is a robust, nonlinear technique that optimizes predictive accuracy by fitting…

Computation · Statistics 2016-12-30 John Ehrlinger

Variations in complex traits are influenced by multiple genetic variants, environmental risk factors, and their interactions. Though substantial progress has been made in identifying single genetic variants associated with complex traits,…

Genomics · Quantitative Biology 2025-08-22 Ming Li , Ruo-Sin Peng , Changshuai Wei , Qing Lu

A new approach called ABRF (the attention-based random forest) and its modifications for applying the attention mechanism to the random forest (RF) for regression and classification are proposed. The main idea behind the proposed ABRF…

Machine Learning · Computer Science 2022-01-11 Lev V. Utkin , Andrei V. Konstantinov

We propose Causal Interaction Trees for identifying subgroups of participants that have enhanced treatment effects using observational data. We extend the Classification and Regression Tree algorithm by using splitting criteria that focus…

Methodology · Statistics 2021-12-08 Jiabei Yang , Issa J. Dahabreh , Jon A. Steingrimsson

Random Forest has become one of the most popular tools for feature selection. Its ability to deal with high-dimensional data makes this algorithm especially useful for studies in neuroimaging and bioinformatics. Despite its popularity and…

Machine Learning · Computer Science 2014-10-13 Ender Konukoglu , Melanie Ganz

Heart disease is a serious global health issue that claims millions of lives every year. Early detection and precise prediction are critical to the prevention and successful treatment of heart related issues. A lot of research utilizes…

Machine Learning · Computer Science 2024-07-30 Rahul Karmakar , Udita Ghosh , Arpita Pal , Sattwiki Dey , Debraj Malik , Priyabrata Sain

Finding interactions between variables in large and high-dimensional datasets is often a serious computational challenge. Most approaches build up interaction sets incrementally, adding variables in a greedy fashion. The drawback is that…

Machine Learning · Statistics 2016-04-27 Rajen Dinesh Shah , Nicolai Meinshausen

Many scientific and engineering challenges -- ranging from personalized medicine to customized marketing recommendations -- require an understanding of treatment effect heterogeneity. In this paper, we develop a non-parametric causal forest…

Methodology · Statistics 2017-07-11 Stefan Wager , Susan Athey

Accurate patient mortality prediction enables effective risk stratification, leading to personalized treatment plans and improved patient outcomes. However, predicting mortality in healthcare remains a significant challenge, with existing…

Machine Learning · Computer Science 2025-03-28 HyeYoung Lee , Pavel Tsoi