English

Exact Reconstruction Conditions for Regularized Modified Basis Pursuit

Information Theory 2015-05-30 v2 math.IT Machine Learning

Abstract

In this correspondence, we obtain exact recovery conditions for regularized modified basis pursuit (reg-mod-BP) and discuss when the obtained conditions are weaker than those for modified-CS or for basis pursuit (BP). The discussion is also supported by simulation comparisons. Reg-mod-BP provides a solution to the sparse recovery problem when both an erroneous estimate of the signal's support, denoted by TT, and an erroneous estimate of the signal values on TT are available.

Cite

@article{arxiv.1108.3350,
  title  = {Exact Reconstruction Conditions for Regularized Modified Basis Pursuit},
  author = {Wei Lu and Namrata Vaswani},
  journal= {arXiv preprint arXiv:1108.3350},
  year   = {2015}
}

Comments

17 pages

R2 v1 2026-06-21T18:51:19.815Z