English

A variational approach to stable principal component pursuit

Optimization and Control 2014-06-06 v1 Machine Learning

Abstract

We introduce a new convex formulation for stable principal component pursuit (SPCP) to decompose noisy signals into low-rank and sparse representations. For numerical solutions of our SPCP formulation, we first develop a convex variational framework and then accelerate it with quasi-Newton methods. We show, via synthetic and real data experiments, that our approach offers advantages over the classical SPCP formulations in scalability and practical parameter selection.

Keywords

Cite

@article{arxiv.1406.1089,
  title  = {A variational approach to stable principal component pursuit},
  author = {Aleksandr Aravkin and Stephen Becker and Volkan Cevher and Peder Olsen},
  journal= {arXiv preprint arXiv:1406.1089},
  year   = {2014}
}

Comments

10 pages, 5 figures

R2 v1 2026-06-22T04:30:40.661Z