English

On the complexity of switching linear regression

Machine Learning 2016-07-05 v2 Computational Complexity Machine Learning

Abstract

This technical note extends recent results on the computational complexity of globally minimizing the error of piecewise-affine models to the related problem of minimizing the error of switching linear regression models. In particular, we show that, on the one hand the problem is NP-hard, but on the other hand, it admits a polynomial-time algorithm with respect to the number of data points for any fixed data dimension and number of modes.

Keywords

Cite

@article{arxiv.1510.06920,
  title  = {On the complexity of switching linear regression},
  author = {Fabien Lauer},
  journal= {arXiv preprint arXiv:1510.06920},
  year   = {2016}
}

Comments

Automatica, Elsevier, 2016

R2 v1 2026-06-22T11:27:29.143Z