Matches in SemOpenAlex for { <https://semopenalex.org/work/W2024610972> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2024610972 endingPage "1496" @default.
- W2024610972 startingPage "1486" @default.
- W2024610972 abstract "This paper applies the wavelet theory to provide some information about the stability and resolution limit of inverse problems. A sensitivity analysis for one-dimensional least-squares ill-posed problems is done by using the Haar basis. Three mappings from the parameter space $L^2 (R)$ into the observation space $L^2 (R)$ are considered. The sensitivity in the direction of a Haar function of width h is $O(h^gamma )$ (which approximates the lower bound of sensitivity of the mapping), where $gamma > 0$, implying that the sensitivity in the Haar basis directions has a rapid decay when $h to 0$. This gives a quantitative relation between the sensitivity of the mapping and the parameter resolution scale. In this way, the Haar basis decomposes the parameters to be estimated into parts with different sensitivity order, providing an easy method to identify the suitability of multiresolution algorithms for inverse problems and to choose a convenient discretization size h." @default.
- W2024610972 created "2016-06-24" @default.
- W2024610972 creator A5014080713 @default.
- W2024610972 date "1994-10-01" @default.
- W2024610972 modified "2023-09-23" @default.
- W2024610972 title "A Sensitivity Analysis for Least-Squares Ill-Posed Problems Using the Haar Basis" @default.
- W2024610972 cites W104632806 @default.
- W2024610972 cites W1597251915 @default.
- W2024610972 cites W2013266741 @default.
- W2024610972 cites W2020538891 @default.
- W2024610972 cites W2022816471 @default.
- W2024610972 cites W2023682725 @default.
- W2024610972 cites W2041752335 @default.
- W2024610972 cites W2042146799 @default.
- W2024610972 cites W2064902143 @default.
- W2024610972 cites W2094585768 @default.
- W2024610972 cites W2098914003 @default.
- W2024610972 doi "https://doi.org/10.1137/0731076" @default.
- W2024610972 hasPublicationYear "1994" @default.
- W2024610972 type Work @default.
- W2024610972 sameAs 2024610972 @default.
- W2024610972 citedByCount "12" @default.
- W2024610972 countsByYear W20246109722016 @default.
- W2024610972 countsByYear W20246109722018 @default.
- W2024610972 countsByYear W20246109722020 @default.
- W2024610972 crossrefType "journal-article" @default.
- W2024610972 hasAuthorship W2024610972A5014080713 @default.
- W2024610972 hasConcept C105795698 @default.
- W2024610972 hasConcept C12426560 @default.
- W2024610972 hasConcept C127413603 @default.
- W2024610972 hasConcept C134306372 @default.
- W2024610972 hasConcept C135252773 @default.
- W2024610972 hasConcept C154945302 @default.
- W2024610972 hasConcept C185429906 @default.
- W2024610972 hasConcept C187029792 @default.
- W2024610972 hasConcept C196216189 @default.
- W2024610972 hasConcept C207467116 @default.
- W2024610972 hasConcept C21200559 @default.
- W2024610972 hasConcept C24326235 @default.
- W2024610972 hasConcept C2524010 @default.
- W2024610972 hasConcept C2780423554 @default.
- W2024610972 hasConcept C28826006 @default.
- W2024610972 hasConcept C33923547 @default.
- W2024610972 hasConcept C41008148 @default.
- W2024610972 hasConcept C46286280 @default.
- W2024610972 hasConcept C47432892 @default.
- W2024610972 hasConcept C5917680 @default.
- W2024610972 hasConcept C73000952 @default.
- W2024610972 hasConcept C9936470 @default.
- W2024610972 hasConceptScore W2024610972C105795698 @default.
- W2024610972 hasConceptScore W2024610972C12426560 @default.
- W2024610972 hasConceptScore W2024610972C127413603 @default.
- W2024610972 hasConceptScore W2024610972C134306372 @default.
- W2024610972 hasConceptScore W2024610972C135252773 @default.
- W2024610972 hasConceptScore W2024610972C154945302 @default.
- W2024610972 hasConceptScore W2024610972C185429906 @default.
- W2024610972 hasConceptScore W2024610972C187029792 @default.
- W2024610972 hasConceptScore W2024610972C196216189 @default.
- W2024610972 hasConceptScore W2024610972C207467116 @default.
- W2024610972 hasConceptScore W2024610972C21200559 @default.
- W2024610972 hasConceptScore W2024610972C24326235 @default.
- W2024610972 hasConceptScore W2024610972C2524010 @default.
- W2024610972 hasConceptScore W2024610972C2780423554 @default.
- W2024610972 hasConceptScore W2024610972C28826006 @default.
- W2024610972 hasConceptScore W2024610972C33923547 @default.
- W2024610972 hasConceptScore W2024610972C41008148 @default.
- W2024610972 hasConceptScore W2024610972C46286280 @default.
- W2024610972 hasConceptScore W2024610972C47432892 @default.
- W2024610972 hasConceptScore W2024610972C5917680 @default.
- W2024610972 hasConceptScore W2024610972C73000952 @default.
- W2024610972 hasConceptScore W2024610972C9936470 @default.
- W2024610972 hasIssue "5" @default.
- W2024610972 hasLocation W20246109721 @default.
- W2024610972 hasOpenAccess W2024610972 @default.
- W2024610972 hasPrimaryLocation W20246109721 @default.
- W2024610972 hasRelatedWork W1926395307 @default.
- W2024610972 hasRelatedWork W2060496807 @default.
- W2024610972 hasRelatedWork W2109485129 @default.
- W2024610972 hasRelatedWork W2170058064 @default.
- W2024610972 hasRelatedWork W2386861593 @default.
- W2024610972 hasRelatedWork W2766849256 @default.
- W2024610972 hasRelatedWork W3013930290 @default.
- W2024610972 hasRelatedWork W3106700118 @default.
- W2024610972 hasRelatedWork W4205837498 @default.
- W2024610972 hasRelatedWork W4308731491 @default.
- W2024610972 hasVolume "31" @default.
- W2024610972 isParatext "false" @default.
- W2024610972 isRetracted "false" @default.
- W2024610972 magId "2024610972" @default.
- W2024610972 workType "article" @default.