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We introduce Bayesian additive regression trees (BART) for log-linear models including multinomial logistic regression and count regression with zero-inflation and overdispersion.
Bayesian auxiliary variable models for binary and multinomial regression
C. C. Holmes and L. Held · 1931
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Efficient Metropolis–Hastings Proposal Mechanisms for Bayesian Regression Tree Models
M. T. Pratola · 1931
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Variable selection for BART: An application to gene regulation
J. Bleich, A. Kapelner, E. I. George, and S. T. Jensen · 1941
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BART: Bayesian additive regression trees
H. A. Chipman, E. I. George, and R. E. McCulloch · 1941
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Updating schemes, correlation structure, blocking and parameterization for the gibbs sampler
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H. A. Chipman, E. I. George, and R. E. McCulloch · 1998
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A Bayesian CART algorithm
D. G. T. Denison, B. K. Mallick, and A. F. M. Smith · 1998
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T. Hastie and R. Tibshirani · 2000
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Greedy function approximation: A gradient boosting machine
J. H. Friedman · 2001
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Normalized random measures driven by increasing additive processes
L. E. Nieto-Barajas, I. Prünster, and S. G. Walker · 2004
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Bayesian CART: Prior specification and posterior simulation
Y. Wu, H. Tjelmeland, and M. West · 2007
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Building predictive models in r using the caret package
M. Kuhn · 2008
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Symmetric Bayesian multinomial probit models, 2010
L. F. Burgette and P. R. Hahn · 2010
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J. J. Forster · 2010
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Data augmentation and MCMC for binary and multinomial logit models
S. Frühwirth-Schnatter and R. Frühwirth · 2010
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Asymptotic equivalence of bayes cross validation and widely applicable information criterion in singular learning theory
S. Watanabe · 2010
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S. G. Walker · 2011
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Bayesian Generalized Additive Models for Location, Scale, and Shape for Zero-Inflated and Overdispersed Count Data
N. Klein, T. Kneib, and S. Lang · 2015
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Nonparametric heteroscedastic regression modeling, Bayesian regression trees and MCMC sampling
R. McCulloch · 2015
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Bayesx-software for Bayesian inference in structured additive regression models (version 3.0.2), 2016
C. Belitz, A. Brezger, T. Kneib, S. Lang, and N. Umlauf · 2016
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Nonparametric survival analysis using Bayesian additive regression trees (BART)
R. A. Sparapani, B. R. Logan, R. E. McCulloch, and P. W. Laud · 2016
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caret: Classification and Regression Training , 2017
M. Kuhn · 2017
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Bayesian Regression Tree Ensembles that Adapt to Smoothness and Sparsity
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Valid post-selection inference
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S. Watanabe · 2013
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A. R. Linero and Y. Yang · 2017
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Heteroscedastic BART Using Multiplicative Regression Trees
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