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Since their inception in the 1980's, regression trees have been one of the more widely used non-parametric prediction methods.
Some nonparametric multivariate procedures based on statistically equivalent blocks
T. W. Anderson · 1966
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Multidimensional binary search trees used for associative searching
J. L. Bentley · 1975
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Consistent nonparametric regression from recursive partitioning schemes
L. Gordon and R. Olshen · 1980
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Optimal global rates of convergence for nonparametric regression
C. Stone · 1982
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Classification and Regression Trees
L. Breiman, J. H. Friedman, R. A. Olshen, and C. J. Stone · 1984
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Almost sure consistent nonparametric regression from recursive partitioning schemes
L. Gordon and R. Olshen · 1984
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Distribution-free exponential bounds on the
K. Devroye and L. Györfi · 1985
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An asymptotically optimal histogram selection rule
C. Stone · 1985
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Consistent nonparametric regression
C. Stone · 1985
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A singular value inequality for block matrices
W. Govaerts and J. Pryce · 1989
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A simple wavelet approach to nonparametric regression from recursive partitioning schemes
J. Engel · 1994
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A Probabilistic Theory of Pattern Recognition
L. Devroye, L. Györfi, and G. Lugosi · 1996
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Histogram regression estimation using data-dependent partitions
A. Nobel · 1996
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Bayesian CART model search
H. Chipman, E. I. George, and R. E. McCulloch · 1997
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CART and best-ortho-basis: a connection
D. Donoho · 1997
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A Bayesian CART algorithm
D. Denison, B. Mallick, and A. Smith · 1998
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Convergence rates of posterior distributions
S. Ghosal, J. Ghosh, and A. van der Vaart · 2000
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Random forests
L. Breiman · 2001
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Rates of convergence of posterior distributions
X. Shen and L. Wasserman · 2001
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Consistency of Bayes estimators of a binary regression function
M. Coram and S. Lalley · 2006
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Covering an ellipsoid with equal balls
I. Dumer · 2006
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Convergence rates of posterior distributions for noniid observations
S. Ghosal and A. van der Vaart · 2007
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Consistency of Bayesian estimation of a step function
H. Lian · 2007
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On rates of convergence for Bayesian density estimation
Anisotropic function estimation using multi-bandwidth Gaussian processes
A. Bhattacharya, D. Pati, and D. Dunson · 2014
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Variable selection for BART: An application to gene regulation
J. Bleich, A. Kapelner, E. I. George, and S. Jensen · 2014
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A Bernstein-von Mises theorem for smooth functionals in semiparametric models
I. Castillo and J. Rousseau · 2015
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Bayesian linear regression with sparse priors
I. Castillo, J. Schmidt-Hieber, and A.W. van der Vaart · 2015
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Multivariate density estimation via adaptive partitioning (ii): Posterior concentration
L. Liu and W. H. Wong · 2015
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Consistency of random forests
E. Scornet, G. Biau, and J.P. Vert · 2015
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C. Scricciolo · 2007
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Consistency of random forests and other averaging classifiers
G. Biau, L. Devroye, and G. Lugosi · 2008
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Rates of contraction of posterior distributions based on Gaussian process priors
A. van der Vaart and J. van Zanten · 2008
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Which spatial partition trees are adaptive to intrinsic dimension?
N. Verma, S. Kpotufe, and S. Dasgupta · 2009
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BART: Bayesian additive regression trees
H. Chipman, E. I. George, and R. McCulloch · 2010
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The curse of dimension in nonparametric regression
S. Kpotufe · 2010
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Adaptive concentration of regression trees, with application to random forests
S. Wager and G. Walther · 2015
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Minimax-optimal nonparametric regression in high dimensions
Y. Yang and S. Tokdar · 2015
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A random forest guided tour
G. Biau and E. Scornet · 2016
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Pólya tree posterior distributions on densities
I. Castillo · 2016
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Bayesian regression trees for high dimensional prediction and variable selection
A. R. Linero · 2016
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Supremum norm posterior contraction and credible sets for nonparametric multivariate regression
W. Yoo and S. Ghosal · 2016
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Bayesian dyadic trees and histograms for regression
S. van der Pas and V. Ročková · 2017
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Bayesian regression tree ensembles that adapt to smoothness and sparsity
A. R. Linero and Yang Y · 2018
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ABC variable selection with Bayesian forests
Y. Liu, V. Ročková, and Y. Wang · 2018
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On theory for BART
V. Ročková and E. Saha · 2019
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