On $\ell_1$-regularized estimation for nonlinear models that have sparse underlying linear structures
Statistics Theory
2009-11-26 v1 Probability
Machine Learning
Statistics Theory
Abstract
In a recent work (arXiv:0910.2517), for nonlinear models with sparse underlying linear structures, we studied the error bounds of -regularized estimation. In this note, we show that -regularized estimation in some important cases can achieve the same order of error bounds as those in the aforementioned work.
Keywords
Cite
@article{arxiv.0911.4899,
title = {On $\ell_1$-regularized estimation for nonlinear models that have sparse underlying linear structures},
author = {Zhiyi Chi},
journal= {arXiv preprint arXiv:0911.4899},
year = {2009}
}