Matches in SemOpenAlex for { <https://semopenalex.org/work/W2951072634> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2951072634 abstract "The uniqueness of sparsest solutions of underdetermined linear systems plays a fundamental role in the newly developed compressed sensing theory. Several new algebraic concepts, including the sub-mutual coherence, scaled mutual coherence, coherence rank, and sub-coherence rank, are introduced in this paper in order to develop new and improved sufficient conditions for the uniqueness of sparsest solutions. The coherence rank of a matrix with normalized columns is the maximum number of absolute entries in a row of its Gram matrix that are equal to the mutual coherence. The main result of this paper claims that when the coherence rank of a matrix is low, the mutual-coherence-based uniqueness conditions for the sparsest solution of a linear system can be improved. Furthermore, we prove that the Babel-function-based uniqueness can be also improved by the so-called sub-Babel function. Moreover, we show that the scaled-coherence-based uniqueness conditions can be developed, and that the right-hand-side vector $b$ of a linear system, the support overlap of solutions, the orthogonal matrix out of the singular value decomposition of a matrix, and the range property of a transposed matrix can be also integrated into the criteria for the uniqueness of the sparsest solution of an underdetermined linear system." @default.
- W2951072634 created "2019-06-27" @default.
- W2951072634 creator A5057733991 @default.
- W2951072634 date "2012-12-22" @default.
- W2951072634 modified "2023-09-23" @default.
- W2951072634 title "New and Improved Conditions for Uniqueness of Sparsest Solutions of Underdetermined Linear Systems" @default.
- W2951072634 cites W1976709621 @default.
- W2951072634 cites W1981487911 @default.
- W2951072634 cites W1986931325 @default.
- W2951072634 cites W2028781966 @default.
- W2951072634 cites W2061951988 @default.
- W2951072634 cites W2063522293 @default.
- W2951072634 cites W2075779886 @default.
- W2951072634 cites W2083057505 @default.
- W2951072634 cites W2083080669 @default.
- W2951072634 cites W2099641086 @default.
- W2951072634 cites W2115090644 @default.
- W2951072634 cites W2116148865 @default.
- W2951072634 cites W2122315118 @default.
- W2951072634 cites W2123804611 @default.
- W2951072634 cites W2129131372 @default.
- W2951072634 cites W2147656689 @default.
- W2951072634 cites W2154332973 @default.
- W2951072634 cites W2157969180 @default.
- W2951072634 cites W2296616510 @default.
- W2951072634 cites W2963322354 @default.
- W2951072634 cites W3099944011 @default.
- W2951072634 doi "https://doi.org/10.48550/arxiv.1212.5682" @default.
- W2951072634 hasPublicationYear "2012" @default.
- W2951072634 type Work @default.
- W2951072634 sameAs 2951072634 @default.
- W2951072634 citedByCount "0" @default.
- W2951072634 crossrefType "posted-content" @default.
- W2951072634 hasAuthorship W2951072634A5057733991 @default.
- W2951072634 hasBestOaLocation W29510726341 @default.
- W2951072634 hasConcept C105795698 @default.
- W2951072634 hasConcept C106487976 @default.
- W2951072634 hasConcept C11413529 @default.
- W2951072634 hasConcept C114614502 @default.
- W2951072634 hasConcept C134306372 @default.
- W2951072634 hasConcept C159985019 @default.
- W2951072634 hasConcept C164226766 @default.
- W2951072634 hasConcept C179690561 @default.
- W2951072634 hasConcept C192562407 @default.
- W2951072634 hasConcept C2777021972 @default.
- W2951072634 hasConcept C2781181686 @default.
- W2951072634 hasConcept C28826006 @default.
- W2951072634 hasConcept C33923547 @default.
- W2951072634 hasConcept C45900066 @default.
- W2951072634 hasConceptScore W2951072634C105795698 @default.
- W2951072634 hasConceptScore W2951072634C106487976 @default.
- W2951072634 hasConceptScore W2951072634C11413529 @default.
- W2951072634 hasConceptScore W2951072634C114614502 @default.
- W2951072634 hasConceptScore W2951072634C134306372 @default.
- W2951072634 hasConceptScore W2951072634C159985019 @default.
- W2951072634 hasConceptScore W2951072634C164226766 @default.
- W2951072634 hasConceptScore W2951072634C179690561 @default.
- W2951072634 hasConceptScore W2951072634C192562407 @default.
- W2951072634 hasConceptScore W2951072634C2777021972 @default.
- W2951072634 hasConceptScore W2951072634C2781181686 @default.
- W2951072634 hasConceptScore W2951072634C28826006 @default.
- W2951072634 hasConceptScore W2951072634C33923547 @default.
- W2951072634 hasConceptScore W2951072634C45900066 @default.
- W2951072634 hasLocation W29510726341 @default.
- W2951072634 hasLocation W29510726342 @default.
- W2951072634 hasOpenAccess W2951072634 @default.
- W2951072634 hasPrimaryLocation W29510726341 @default.
- W2951072634 hasRelatedWork W1987588626 @default.
- W2951072634 hasRelatedWork W2045956890 @default.
- W2951072634 hasRelatedWork W2150793997 @default.
- W2951072634 hasRelatedWork W2157615762 @default.
- W2951072634 hasRelatedWork W2158708895 @default.
- W2951072634 hasRelatedWork W2949732825 @default.
- W2951072634 hasRelatedWork W2951072634 @default.
- W2951072634 hasRelatedWork W3102183770 @default.
- W2951072634 hasRelatedWork W3202524033 @default.
- W2951072634 hasRelatedWork W4297734081 @default.
- W2951072634 isParatext "false" @default.
- W2951072634 isRetracted "false" @default.
- W2951072634 magId "2951072634" @default.
- W2951072634 workType "article" @default.