English

A Unified Framework for Constructing Nonconvex Regularizations

Machine Learning 2022-02-16 v1 Information Theory Machine Learning math.IT

Abstract

Over the past decades, many individual nonconvex methods have been proposed to achieve better sparse recovery performance in various scenarios. However, how to construct a valid nonconvex regularization function remains open in practice. In this paper, we fill in this gap by presenting a unified framework for constructing the nonconvex regularization based on the probability density function. Meanwhile, a new nonconvex sparse recovery method constructed via the Weibull distribution is studied.

Keywords

Cite

@article{arxiv.2106.06123,
  title  = {A Unified Framework for Constructing Nonconvex Regularizations},
  author = {Zhiyong Zhou},
  journal= {arXiv preprint arXiv:2106.06123},
  year   = {2022}
}
R2 v1 2026-06-24T03:04:58.888Z