Partially fixed bayesian additive regression trees

被引:1
|
作者
Ran, Hao [1 ]
Bai, Yang [1 ]
机构
[1] Shanghai Univ Finance & Econ, Sch Stat & Management, 777 Guoding Rd, Shanghai 200433, Peoples R China
关键词
Bayesian additive regression trees; nonparametric model; machine learning; variable importance;
D O I
10.1080/24754269.2024.2341981
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Bayesian Additive Regression Trees (BART) is a widely popular nonparametric regression model known for its accurate prediction capabilities. In certain situations, there is knowledge suggesting the existence of certain dominant variables. However, the BART model fails to fully utilize the knowledge. To tackle this problem, the paper introduces a modification to BART known as the Partially Fixed BART model. By fixing a portion of the trees' structure, this model enables more efficient utilization of prior knowledge, resulting in enhanced estimation accuracy. Moreover, the Partially Fixed BART model can offer more precise estimates and valuable insights for future analysis even when such prior knowledge is absent. Empirical results substantiate the enhancement of the proposed model in comparison to the original BART.
引用
收藏
页码:232 / 242
页数:11
相关论文
共 50 条
  • [1] Bayesian additive regression trees with model trees
    Prado, Estevao B.
    Moral, Rafael A.
    Parnell, Andrew C.
    [J]. STATISTICS AND COMPUTING, 2021, 31 (03)
  • [2] Bayesian additive regression trees with model trees
    Estevão B. Prado
    Rafael A. Moral
    Andrew C. Parnell
    [J]. Statistics and Computing, 2021, 31
  • [3] BART: BAYESIAN ADDITIVE REGRESSION TREES
    Chipman, Hugh A.
    George, Edward I.
    McCulloch, Robert E.
    [J]. ANNALS OF APPLIED STATISTICS, 2010, 4 (01): : 266 - 298
  • [4] Parallel Bayesian Additive Regression Trees
    Pratola, Matthew T.
    Chipman, Hugh A.
    Gattiker, James R.
    Higdon, David M.
    McCulloch, Robert
    Rust, William N.
    [J]. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2014, 23 (03) : 830 - 852
  • [5] Particle Gibbs for Bayesian Additive Regression Trees
    Lakshminarayanan, Balaji
    Roy, Daniel M.
    Teh, Yee Whye
    [J]. ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 38, 2015, 38 : 553 - 561
  • [6] XBART: Accelerated Bayesian Additive Regression Trees
    He, Jingyu
    Yalov, Saar
    Hahn, P. Richard
    [J]. 22ND INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 89, 2019, 89
  • [7] Multinomial probit Bayesian additive regression trees
    Kindo, Bereket P.
    Wang, Hao
    Pena, Edsel A.
    [J]. STAT, 2016, 5 (01): : 119 - 131
  • [8] Bayesian Additive Regression Trees using Bayesian model averaging
    Belinda Hernández
    Adrian E. Raftery
    Stephen R Pennington
    Andrew C. Parnell
    [J]. Statistics and Computing, 2018, 28 : 869 - 890
  • [9] Bayesian Additive Regression Trees using Bayesian model averaging
    Hernandez, Belinda
    Raftery, Adrian E.
    Pennington, Stephen R.
    Parnell, Andrew C.
    [J]. STATISTICS AND COMPUTING, 2018, 28 (04) : 869 - 890
  • [10] Bayesian quantile regression for partially linear additive models
    Yuao Hu
    Kaifeng Zhao
    Heng Lian
    [J]. Statistics and Computing, 2015, 25 : 651 - 668