English

A User-Friendly Computational Framework for Robust Structured Regression with the L$_2$ Criterion

Computation 2021-09-15 v2

Abstract

We introduce a user-friendly computational framework for implementing robust versions of a wide variety of structured regression methods with the L2_{2} criterion. In addition to introducing an algorithm for performing L2_{2}E regression, our framework enables robust regression with the L2_{2} criterion for additional structural constraints, works without requiring complex tuning procedures on the precision parameter, can be used to identify heterogeneous subpopulations, and can incorporate readily available non-robust structured regression solvers. We provide convergence guarantees for the framework and demonstrate its flexibility with some examples. Supplementary materials for this article are available online.

Keywords

Cite

@article{arxiv.2010.04133,
  title  = {A User-Friendly Computational Framework for Robust Structured Regression with the L$_2$ Criterion},
  author = {Jocelyn T. Chi and Eric C. Chi},
  journal= {arXiv preprint arXiv:2010.04133},
  year   = {2021}
}
R2 v1 2026-06-23T19:10:58.623Z