A Unified Algorithm for the Non-Convex Penalized Estimation: The ncpen Package

Department(s)

Graziadio Business School

Document Type

Article

Publication Date

1-1-2020

Abstract

Various R packages have been developed for the non-convex penalized estimation but they can only be applied to the smoothly clipped absolute deviation (SCAD) or minimax concave penalty (MCP). We develop an R package, entitled ncpen, for the non-convex penalized estimation in order to make data analysts to experience other non-convex penalties. The package ncpen implements a unified algorithm based on the convex concave procedure and modified local quadratic approximation algorithm, which can be applied to a broader range of non-convex penalties, including the SCAD and MCP as special examples. Many user-friendly functionalities such as generalized information criteria, cross-validation and ridge regularization are provided also.

Publication Title

R Journal

E-ISSN

20734859

Volume

12

First Page

1

Last Page

14

DOI

10.32614/rj-2021-003

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