shrinkem

Approximate Bayesian Regularization for Parsimonious Estimates

CRAN Package

Approximate Bayesian regularization using Gaussian approximations. The input is a vector of estimates and a Gaussian error covariance matrix of the key parameters. Bayesian shrinkage is then applied to obtain parsimonious solutions. The method is described on Karimova, van Erp, Leenders, and Mulder (2024) doi:10.31234/osf.io/2g8qm. Gibbs samplers are used for model fitting. The shrinkage priors that are supported are Gaussian (ridge) priors, Laplace (lasso) priors (Park and Casella, 2008 doi:10.1198/016214508000000337), and horseshoe priors (Carvalho, et al., 2010; doi:10.1093/biomet/asq017). These priors include an option for grouped regularization of different subsets of parameters (Meier et al., 2008; doi:10.1111/j.1467-9868.2007.00627.x). F priors are used for the penalty parameters lambda^2 (Mulder and Pericchi, 2018 doi:10.1214/17-BA1092). This correspond to half-Cauchy priors on lambda (Carvalho, Polson, Scott, 2010 doi:10.1093/biomet/asq017).


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