$NP/CLP$ Equivalence: A Phenomenon Hidden Among Sparsity Models for Information Processing
Information Theory
2015-01-12 v1 math.IT
Abstract
It is proved in this paper that to every underdetermined linear system there corresponds a constant such that every solution to the -norm minimization problem also solves the -norm minimization problem whenever . This phenomenon is named equivalence.
Cite
@article{arxiv.1501.02018,
title = {$NP/CLP$ Equivalence: A Phenomenon Hidden Among Sparsity Models for Information Processing},
author = {Jigen Peng and Shigang Yue and Haiyang Li},
journal= {arXiv preprint arXiv:1501.02018},
year = {2015}
}
Comments
submitted to IEEE Transactions on Information Theory in June 2014