On $\ell_1$-regularized estimation for nonlinear models that have sparse underlying linear structures

Zhiyi Chi

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arXiv · 0911.4899

On $\ell_1$-regularized estimation for nonlinear models that have sparse underlying linear structures

Zhiyi Chi

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Abstract

In a recent work (arXiv:0910.2517), for nonlinear models with sparse underlying linear structures, we studied the error bounds of $\ell_0$-regularized estimation. In this note, we show that $\ell_1$-regularized estimation in some important cases can achieve the same order of error bounds as those in the aforementioned work.

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BibTeX RIS

Zhiyi Chi. 2009-11-25. On $\ell_1$-regularized estimation for nonlinear models that have sparse underlying linear structures. https://arxiv.org/abs/0911.4899

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