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Besides serving as prediction models, classification trees are useful for finding important predictor variables and identifying interesting subgroups in the data. These functions can be compromised by weak split selection algorithms that…

应用统计 · 统计学 2010-11-03 Wei-Yin Loh

Decision trees built with data remain in widespread use for nonparametric prediction. Predicting probability distributions is preferred over point predictions when uncertainty plays a prominent role in analysis and decision-making. We study…

统计方法学 · 统计学 2024-06-21 Sara Shashaani , Ozge Surer , Matthew Plumlee , Seth Guikema

Using topological summaries of gene trees as a basis for species tree inference is a promising approach to obtain acceptable speed on genomic-scale datasets, and to avoid some undesirable modeling assumptions. Here we study the…

种群与进化 · 定量生物学 2017-04-17 Elizabeth S. Allman , James H. Degnan , John A. Rhodes

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…

统计方法学 · 统计学 2026-04-14 Soham Bakshi , Snigdha Panigrahi

As predictive algorithms grow in popularity, using the same dataset to both train and test a new model has become routine across research, policy, and industry. Sample-splitting attains valid inference on model properties by using separate…

计量经济学 · 经济学 2025-11-27 Bruno Fava

Split conformal prediction is a computationally efficient method for performing distribution-free predictive inference in regression. It involves, however, a one-time random split of the data, and the result depends on the particular split.…

统计方法学 · 统计学 2021-07-22 Aldo Solari , Vera Djordjilović

Machine learning algorithms aim at minimizing the number of false decisions and increasing the accuracy of predictions. However, the high predictive power of advanced algorithms comes at the costs of transparency. State-of-the-art methods,…

机器学习 · 计算机科学 2019-08-30 Klaus Broelemann , Gjergji Kasneci

In recent years, gradient boosted decision trees have become popular in building robust machine learning models on big data. The primary technique that has enabled these algorithms success has been distributing the computation while…

机器学习 · 计算机科学 2021-08-20 Vignesh Nanda Kumar , Narayanan U Edakunni

Even though a train/test split of the dataset randomly performed is a common practice, could not always be the best approach for estimating performance generalization under some scenarios. The fact is that the usual machine learning…

机器学习 · 计算机科学 2022-09-09 Carlos Catania , Jorge Guerra , Juan Manuel Romero , Gabriel Caffaratti , Martin Marchetta

Decision tree optimization is fundamental to interpretable machine learning. The most popular approach is to greedily search for the best feature at every decision point, which is fast but provably suboptimal. Recent approaches find the…

机器学习 · 计算机科学 2025-11-19 Varun Babbar , Hayden McTavish , Cynthia Rudin , Margo Seltzer

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…

统计方法学 · 统计学 2022-10-20 Nikolaus Umlauf , Nadja Klein

We study contextual stochastic optimization problems, where we leverage rich auxiliary observations (e.g., product characteristics) to improve decision making with uncertain variables (e.g., demand). We show how to train forest decision…

最优化与控制 · 数学 2022-03-17 Nathan Kallus , Xiaojie Mao

Random forest regression (RF) is an extremely popular tool for the analysis of high-dimensional data. Nonetheless, its benefits may be lessened in sparse settings due to weak predictors, and a pre-estimation dimension reduction (targeting)…

A core step of every algorithm for learning regression trees is the selection of the best splitting variable from the available covariates and the corresponding split point. Early tree algorithms (e.g., AID, CART) employed greedy search…

统计方法学 · 统计学 2019-06-26 Lisa Schlosser , Torsten Hothorn , Achim Zeileis

Conformal prediction is a non-parametric technique for constructing prediction intervals or sets from arbitrary predictive models under the assumption that the data is exchangeable. It is popular as it comes with theoretical guarantees on…

机器学习 · 统计学 2025-12-01 Jase Clarkson , Wenkai Xu , Mihai Cucuringu , Yvik Swan , Gesine Reinert

Real-life machine learning problems exhibit distributional shifts in the data from one time to another or from one place to another. This behavior is beyond the scope of the traditional empirical risk minimization paradigm, which assumes…

机器学习 · 计算机科学 2024-07-24 Timothy DeLise

Often machine learning methods are applied and results reported in cases where there is little to no information concerning accuracy of the output. Simply because a computer program returns a result does not insure its validity. If…

机器学习 · 统计学 2022-05-25 Jerome H. Friedman

We consider the problem of uncertainty quantification for prediction in a time series: if we use past data to forecast the next time point, can we provide valid prediction intervals around our forecasts? To avoid placing distributional…

机器学习 · 统计学 2026-01-13 Rina Foygel Barber , Ashwin Pananjady

Bayesian Additive Regression Trees [BART, Chipman et al., 2010] have gained significant popularity due to their remarkable predictive performance and ability to quantify uncertainty. However, standard decision tree models rely on recursive…

机器学习 · 统计学 2025-01-20 Stamatina Lamprinakou , Huiyan Sang , Bledar A. Konomi , Ligang Lu

The most popular approach for analyzing survival data is the Cox regression model. The Cox model may, however, be misspecified, and its proportionality assumption may not always be fulfilled. An alternative approach for survival prediction…

机器学习 · 统计学 2018-05-17 Marvin N. Wright , Theresa Dankowski , Andreas Ziegler
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