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We propose the Bayesian bridge estimator for regularized regression and classification.
Fonctions convexes de Polya
D. Dugué and M. Girault · 1955
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Multiply monotone functions and their laplace transforms
R. Williamson · 1956
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Bayes estimates for the linear model
D. Lindley and A. Smith · 1972
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Bayesian Inference in Statistical Analysis
G. Box and G. C. Tiao · 1973
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On scale mixtures of normal distributions
M. West · 1987
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Exact and approximate posterior moments for a normal location parameter
L. R. Pericchi and A. Smith · 1992
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A statistical view of some chemometrics regression tools (with discussion)
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Bayesian nonconjugate and hierarchical models by using auxiliary variables
P. Damien, J. C. Wakefield, and S. G. Walker · 1999
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Inference in symmetric alpha-stable noise using MCMC and the slice sampler
S. Godsill · 2000
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Variable selection via nonconcave penalized likelihood and its oracle properties
J. Fan and R. Li · 2001
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Sparse Bayesian learning and the relevance vector machine
M. Tipping · 2001
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Convergence of slice sampler Markov chains
G. O. Roberts and J. S. Rosenthal · 2002
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Adaptive sparseness for supervised learning
M. Figueiredo · 2003
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Slice sampling
R. M. Neal · 2003
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Gene selection using a two-level hierarchical Bayesian model
K. Bae and B. Mallick · 2004
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Least angle regression
B. Efron, T. Hastie, I. Johnstone, and R. Tibshirani · 2004
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Efficient Gibbs sampling of truncated multivariate normal with application to constrained linear regression
G. Rodriguez-Yam, R. A. Davis, and L. L. Scharf · 2004
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Prior distributions for variance parameters in hierarchical models
A. Gelman · 2006
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Bayesian lasso regression
C. M. Hans · 2009
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A new method to simulate the triangular distribution
W. E. Stein and M. F. Keblis · 2009
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The horseshoe estimator for sparse signals
C. M. Carvalho, N. G. Polson, and J. G. Scott · 2010
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Inference with normal-gamma prior distributions in regression problems
J. Griffin and P. Brown · 2010
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Model uncertainty and variable selection in Bayesian lasso regression
C. M. Hans · 2010
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The Bayesian elastic net
Q. Li and N. Lin · 2010
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Elastic net regression modeling with the orthant normal prior
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