$NP/CMP$ Equivalence: A Phenomenon Hidden Among Sparsity Models $l_{0}$ Minimization and $l_{p}$ Minimization for Information Processing
Copyright policy ) Jigen Peng; Shigang Yue; Haiyang Li;
$NP/CMP$ Equivalence: A Phenomenon Hidden Among Sparsity Models $l_{0}$ Minimization and $l_{p}$ Minimization for Information Processing
In this paper, we have proved that in every underdetermined linear system $Ax=b$ , there corresponds a constant $p^{*}(A,b)>0$ such that every solution to the $l_{p}$ -norm minimization problem also solves the $l_{0}$ -norm minimization problem whenever $0 . This phenomenon is named $NP/CMP$ equivalence.
United Kingdom
- Xi'an Polytechnic University China (People's Republic of)
- Xi’an Jiaotong-Liverpool University China (People's Republic of)
- University of Lincoln United Kingdom
sparse recovery, bmjgoldcheck, l p minimization, underdetermined linear system, NotOAChecked, 004, 510, Information processing, I200 - Information systems, sparse representation
sparse recovery, bmjgoldcheck, l p minimization, underdetermined linear system, NotOAChecked, 004, 510, Information processing, I200 - Information systems, sparse representation
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selected citations
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 30
Top 10%
Top 10%
Top 10%
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