Best Orthogonalized Subset Selection (BOSS)

Best orthogonalized subset selection (BOSS) is a least-squares (LS) based subset selection method, that performs best subset selection upon an orthogonalized basis of ordered predictors, with the computational effort of a single ordinary LS fit. This package provides a highly optimized implementation of BOSS and estimates a heuristic degrees of freedom for BOSS, which can be plugged into an information criterion (IC) such as AICc in order to select the subset from candidates. It provides various choices of IC, including AIC, BIC, AICc, Cp and GCV. It also implements the forward stepwise selection (FS) with no additional computational cost, where the subset of FS is selected via cross-validation (CV). CV is also an option for BOSS. For details see: Tian, Hurvich and Simonoff (2019), "On the Use of Information Criteria for Subset Selection in Least Squares Regression", .


Reference manual

It appears you don't have a PDF plugin for this browser. You can click here to download the reference manual.


0.1.0 by Sen Tian, a year ago

Report a bug at

Browse source code at

Authors: Sen Tian [aut, cre] , Clifford Hurvich [aut] , Jeffrey Simonoff [aut]

Documentation:   PDF Manual  

GPL (>= 2) license

Imports Matrix, Rcpp, stats

Suggests devtools, glmnet, ISLR, kableExtra, knitr, MASS, rmarkdown, sparsenet

Linking to Rcpp, RcppArmadillo

See at CRAN