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相关论文: SoftBart: Soft Bayesian Additive Regression Trees

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In the era of precision medicine, genome-wide epigenetic modifications offer rich data that could inform risk prediction. However, these data are high-dimensional and exhibit complex dependence structures, which makes it difficult to…

应用统计 · 统计学 2026-05-25 Saurabh Bhandari , Parveen Bhatti , Brian C. -H. Chiu , Yuan Ji

Bayesian Additive Regression Trees (BART) of Chipman et al. (2010) has proven to be a powerful tool for nonparametric modeling and prediction. Monotone BART (Chipman et al., 2022) is a recent development that allows BART to be more precise…

机器学习 · 统计学 2025-09-03 Jared D. Fisher

Bayesian additive regression trees (BART) are popular Bayesian ensemble models used in regression and classification analysis. Under this modeling framework, the regression function is approximated by an ensemble of decision trees,…

统计计算 · 统计学 2025-11-26 Marco Battiston , Yu Luo

We present a Bayesian nonparametric model for conditional distribution estimation using Bayesian additive regression trees (BART). The generative model we use is based on rejection sampling from a base model. Typical of BART models, our…

统计方法学 · 统计学 2022-02-02 Yinpu Li , Antonio R. Linero , Jared S. Murray

Bayesian additive regression trees have seen increased interest in recent years due to their ability to combine machine learning techniques with principled uncertainty quantification. The Bayesian backfitting algorithm used to fit BART…

机器学习 · 统计学 2022-02-22 Antonio R. Linero

Additive regression trees are flexible non-parametric models and popular off-the-shelf tools for real-world non-linear regression. In application domains, such as bioinformatics, where there is also demand for probabilistic predictions with…

机器学习 · 统计学 2015-02-17 Balaji Lakshminarayanan , Daniel M. Roy , Yee Whye Teh

Bayesian Additive Regression Trees (BART) is a statistical sum of trees model. It can be considered a Bayesian version of machine learning tree ensemble methods where the individual trees are the base learners. However for data sets where…

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

We develop a semiparametric framework for inference on the mean response in missing-data settings using a corrected posterior distribution. Our approach is tailored to Bayesian Additive Regression Trees (BART), which is a powerful…

统计方法学 · 统计学 2025-10-21 Christoph Breunig , Ruixuan Liu , Zhengfei Yu

In recent years, theoretical results and simulation evidence have shown Bayesian additive regression trees to be a highly-effective method for nonparametric regression. Motivated by cost-effectiveness analyses in health economics, where…

Although it is an extremely effective, easy-to-use, and increasingly popular tool for nonparametric regression, the Bayesian Additive Regression Trees (BART) model is limited by the fact that it can only produce discontinuous output.…

统计方法学 · 统计学 2025-08-08 Ryan Yee , Soham Ghosh , Sameer K. Deshpande

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…

For the discovery of regression relationships between Y and a large set of p potential predictors x 1 , . . . , x p , the flexible nonparametric nature of BART (Bayesian Additive Regression Trees) allows for a much richer set of…

其他统计学 · 统计学 2021-10-11 Hugh A. Chipman , Edward I. George , Robert E. McCulloch , Thomas S. Shively

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

Motivated by the remarkable success of Bayesian additive regression trees (BART) in regression modelling, we propose a novel nonparametric Bayesian method, termed Functional BART (FBART), tailored specifically for function-on-scalar…

统计方法学 · 统计学 2025-06-03 Jiahao Cao , Shiyuan He , Bohai Zhang

The effectiveness of Bayesian Additive Regression Trees (BART) has been demonstrated in a variety of contexts including non-parametric regression and classification. A BART scheme for estimating the intensity of inhomogeneous Poisson…

Techniques to reduce the energy burden of an industrial ecosystem often require solving a multiobjective optimization problem. However, collecting experimental data can often be either expensive or time-consuming. In such cases, statistical…

机器学习 · 计算机科学 2021-09-07 Akira Horiguchi , Thomas J. Santner , Ying Sun , Matthew T. Pratola

Medical prediction applications often need to deal with small sample sizes compared to the number of covariates. Such data pose problems for prediction and variable selection, especially when the covariate-response relationship is…

机器学习 · 统计学 2024-11-05 Jeroen M. Goedhart , Thomas Klausch , Jurriaan Janssen , Mark A. van de Wiel

We present a method for incorporating missing data in non-parametric statistical learning without the need for imputation. We focus on a tree-based method, Bayesian Additive Regression Trees (BART), enhanced with "Missingness Incorporated…

机器学习 · 统计学 2014-02-14 Adam Kapelner , Justin Bleich

Flexibly modeling how an entire density changes with covariates is an important but challenging generalization of mean and quantile regression. While existing methods for density regression primarily consist of covariate-dependent discrete…

统计方法学 · 统计学 2021-12-24 Vittorio Orlandi , Jared Murray , Antonio Linero , Alexander Volfovsky