A model of the form Y = f(x) + s(x) Z is fit where functions f and s are modeled with ensembles of trees and Z is standard normal. This model is developed in the paper 'Heteroscedastic BART Via Multiplicative Regression Trees' (Pratola, Chipman, George, and McCulloch, 2019, <arXiv:1709.07542v2>). BART refers to Bayesian Additive Regression Trees. See the R-package 'BART'. The predictor vector x may be high dimensional. A Markov Chain Monte Carlo (MCMC) algorithm provides Bayesian posterior uncertainty for both f and s. The MCMC uses the recent innovations in Efficient Metropolis--Hastings proposal mechanisms for Bayesian regression tree models (Pratola, 2015, Bayesian Analysis, <doi:10.1214/16-BA999>).
Package details |
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Author | Robert McCulloch [aut, cre, cph], Matthew Pratola [aut, cph], Hugh Chipman [aut, cph] |
Maintainer | Robert McCulloch <robert.e.mcculloch@gmail.com> |
License | GPL (>= 2) |
Version | 1.0 |
Package repository | View on CRAN |
Installation |
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