The tobitnet package provides methods for fitting penalized Tobit models:
tobitnetfits the Tobit model with a weighted elastic net penalty using generalized coordinate descenttobitscadfits the Tobit model with a SCAD penalty using a local linear approximation algorithm
See Jacobson and Zou (2022) for details.
Jacobson, T. and Zou, H. (2022) High-dimensional Censored Regression via the Penalized Tobit Likelihood. Manuscript submitted for publication.