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Bayesian Additive Regression Trees (BART) is a tree-based machine learning method that has been successfully applied to regression and classification problems. BART assumes regularisation priors on a set of trees that work as weak learners…

机器学习 · 统计学 2022-06-07 Estevão B. Prado , Rafael A. Moral , Andrew C. Parnell

Most implementations of Bayesian additive regression trees (BART) one-hot encode categorical predictors, replacing each one with several binary indicators, one for every level or category. Regression trees built with these indicators…

统计方法学 · 统计学 2024-08-14 Sameer K. Deshpande

Bayesian additive regression trees (BART) (Chipman et. al., 2010) is a powerful predictive model that often outperforms alternative models at out-of-sample prediction. BART is especially well-suited to settings with unstructured predictor…

机器学习 · 统计学 2019-03-15 Jingyu He , Saar Yalov , P. Richard Hahn

Bayesian Additive Regression Trees(BART) is a Bayesian nonparametric approach which has been shown to be competitive with the best modern predictive methods such as random forest and Gradient Boosting Decision Tree.The sum of trees…

应用统计 · 统计学 2021-08-27 Hao Ran , Yang Bai

Bayesian Additive Regression Trees (BART) is a popular Bayesian non-parametric regression model that is commonly used in causal inference and beyond. Its strong predictive performance is supported by well-developed estimation theory,…

机器学习 · 统计学 2026-02-10 Yan Shuo Tan , Omer Ronen , Theo Saarinen , Bin Yu

Bayes additive regression trees(BART) is a nonparametric regression model which has gained wide-spread popularity in recent years due to its flexibility and high accuracy of estimation. Soft BART,one variation of BART,improves both…

机器学习 · 统计学 2023-10-24 Hao Ran , Yang Bai

We develop a Bayesian "sum-of-trees" model where each tree is constrained by a regularization prior to be a weak learner, and fitting and inference are accomplished via an iterative Bayesian backfitting MCMC algorithm that generates samples…

统计方法学 · 统计学 2010-10-08 Hugh A. Chipman , Edward I. George , Robert E. McCulloch

Bayesian Additive Regression Trees (BART) is a Bayesian approach to flexible non-linear regression which has been shown to be competitive with the best modern predictive methods such as those based on bagging and boosting. BART offers some…

The Bayesian additive regression trees (BART) model is an ensemble method extensively and successfully used in regression tasks due to its consistently strong predictive performance and its ability to quantify uncertainty. BART combines…

统计方法学 · 统计学 2023-09-18 Mateus Maia , Keefe Murphy , Andrew C. Parnell

BART (Bayesian Additive Regression Trees) has become increasingly popular as a flexible and scalable nonparametric regression approach for modern applied statistics problems. For the practitioner dealing with large and complex nonlinear…

统计方法学 · 统计学 2018-07-11 Matthew Pratola , Hugh Chipman , Edward George , Robert McCulloch

This paper develops a novel stochastic tree ensemble method for nonlinear regression, which we refer to as XBART, short for Accelerated Bayesian Additive Regression Trees. By combining regularization and stochastic search strategies from…

机器学习 · 统计学 2021-06-04 Jingyu He , P. Richard Hahn

Ensemble decision tree methods such as XGBoost, Random Forest, and Bayesian Additive Regression Trees (BART) have gained enormous popularity in data science for their superior performance in machine learning regression and classification…

统计方法学 · 统计学 2025-09-10 Shuren He , Huiyan Sang , Quan Zhou

Bayesian Additive Regression Trees (BART) are a powerful ensemble learning technique for modeling nonlinear regression functions. Although initially BART was proposed for predicting only continuous and binary response variables, over the…

统计理论 · 数学 2026-03-24 Enakshi Saha

Distribution regression, where the goal is to predict a scalar response from a distribution-valued predictor, arises naturally in settings where observations are grouped and outcomes depend on group-level characteristics rather than on…

统计方法学 · 统计学 2026-03-09 Antonio R. Linero , Soumyabrata Bose , Jared Murray

We propose a simple yet powerful extension of Bayesian Additive Regression Trees which we name Hierarchical Embedded BART (HE-BART). The model allows for random effects to be included at the terminal node level of a set of regression trees,…

统计方法学 · 统计学 2023-04-25 Bruna Wundervald , Andrew Parnell , Katarina Domijan

In many longitudinal studies, the covariate and response are often intermittently observed at irregular, mismatched and subject-specific times. How to deal with such data when covariate and response are observed asynchronously is an often…

统计方法学 · 统计学 2021-08-27 Hao Ran , Yang Bai

Many asymptotically minimax procedures for function estimation often rely on somewhat arbitrary and restrictive assumptions such as isotropy or spatial homogeneity. This work enhances the theoretical understanding of Bayesian additive…

统计理论 · 数学 2023-12-05 Seonghyun Jeong , Veronika Rockova

Ensembles of decision trees are a useful tool for obtaining for obtaining flexible estimates of regression functions. Examples of these methods include gradient boosted decision trees, random forests, and Bayesian CART. Two potential…

统计方法学 · 统计学 2018-09-18 Antonio Ricardo Linero , Yun Yang

Bayesian additive regression trees (BART) is a non-parametric method to approximate functions. It is a black-box method based on the sum of many trees where priors are used to regularize inference, mainly by restricting trees' learning…

统计计算 · 统计学 2023-08-16 Miriana Quiroga , Pablo G Garay , Juan M. Alonso , Juan Martin Loyola , Osvaldo A Martin

Bayesian additive regression trees (BART) is a semi-parametric regression model offering state-of-the-art performance on out-of-sample prediction. Despite this success, standard implementations of BART typically provide inaccurate…

统计方法学 · 统计学 2023-02-27 Meijiang Wang , Jingyu He , P. Richard Hahn
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