On the support of compressed modes

Farzin Barekat, Russel Caflisch, Stanley Osher

Research output: Contribution to journalArticle

Abstract

Compressed modes are solutions of the Laplace equation with a potential and a subgradient term. The subgradient term comes from addition of an L1 penalty in the corresponding variational principle. This paper presents an analysis of compressed modes, finding the minimizer of the variational principle, showing the spatial localization property of compressed modes, and establishing an upper bound on the volume of their support.

Original languageEnglish (US)
Pages (from-to)2573-2590
Number of pages18
JournalSIAM Journal on Mathematical Analysis
Volume49
Issue number4
DOIs
StatePublished - 2017

Keywords

  • Compressed modes
  • Compressive sensing
  • L-regularization
  • PDE
  • Sparsity

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

Fingerprint Dive into the research topics of 'On the support of compressed modes'. Together they form a unique fingerprint.

Cite this