Matches in SemOpenAlex for { <https://semopenalex.org/work/W2092363816> ?p ?o ?g. }
- W2092363816 endingPage "1794" @default.
- W2092363816 startingPage "1770" @default.
- W2092363816 abstract "The widespread applicability of the multipenalty regularization is limited by the fact that theoretically optimal rate of reconstruction for a given problem can be realized by a one-parameter counterpart, provided that relevant information on the problem is available and taken into account in the regularization. In this paper, we explore the situation where no such information is given, but still accuracy of optimal order can be guaranteed by employing multipenalty regularization. Our focus is on the analysis and the justification of an a posteriori parameter choice rule for such a regularization scheme. First we present a modified version of the discrepancy principle within the multipenalty regularization framework. As a consequence we provide a theoretical justification to the multipenalty regularization scheme equipped with the a posteriori parameter choice rule. We then establish a fast numerical realization of the proposed discrepancy principle based on a model function approximation. Finally, we provide extensive numerical results which confirm and support the theoretical estimates and illustrate the robustness and the superiority of the proposed scheme compared to the “classical” regularization methods." @default.
- W2092363816 created "2016-06-24" @default.
- W2092363816 creator A5024354228 @default.
- W2092363816 creator A5024779715 @default.
- W2092363816 creator A5086845658 @default.
- W2092363816 date "2014-01-01" @default.
- W2092363816 modified "2023-10-14" @default.
- W2092363816 title "Parameter Choice Strategies for Multipenalty Regularization" @default.
- W2092363816 cites W1968731161 @default.
- W2092363816 cites W1975647288 @default.
- W2092363816 cites W1982522584 @default.
- W2092363816 cites W1992185369 @default.
- W2092363816 cites W1998220060 @default.
- W2092363816 cites W2014963263 @default.
- W2092363816 cites W2020951562 @default.
- W2092363816 cites W2028477434 @default.
- W2092363816 cites W2033242948 @default.
- W2092363816 cites W2037768939 @default.
- W2092363816 cites W2062342781 @default.
- W2092363816 cites W2064880038 @default.
- W2092363816 cites W2071628472 @default.
- W2092363816 cites W2080838153 @default.
- W2092363816 cites W2090792713 @default.
- W2092363816 cites W2093828556 @default.
- W2092363816 cites W2100380728 @default.
- W2092363816 cites W2104489368 @default.
- W2092363816 cites W2128744915 @default.
- W2092363816 cites W2134413360 @default.
- W2092363816 cites W2314826591 @default.
- W2092363816 cites W2963750627 @default.
- W2092363816 doi "https://doi.org/10.1137/130930248" @default.
- W2092363816 hasPublicationYear "2014" @default.
- W2092363816 type Work @default.
- W2092363816 sameAs 2092363816 @default.
- W2092363816 citedByCount "23" @default.
- W2092363816 countsByYear W20923638162014 @default.
- W2092363816 countsByYear W20923638162015 @default.
- W2092363816 countsByYear W20923638162016 @default.
- W2092363816 countsByYear W20923638162017 @default.
- W2092363816 countsByYear W20923638162018 @default.
- W2092363816 countsByYear W20923638162019 @default.
- W2092363816 countsByYear W20923638162020 @default.
- W2092363816 countsByYear W20923638162021 @default.
- W2092363816 countsByYear W20923638162022 @default.
- W2092363816 countsByYear W20923638162023 @default.
- W2092363816 crossrefType "journal-article" @default.
- W2092363816 hasAuthorship W2092363816A5024354228 @default.
- W2092363816 hasAuthorship W2092363816A5024779715 @default.
- W2092363816 hasAuthorship W2092363816A5086845658 @default.
- W2092363816 hasBestOaLocation W20923638162 @default.
- W2092363816 hasConcept C111472728 @default.
- W2092363816 hasConcept C11413529 @default.
- W2092363816 hasConcept C126255220 @default.
- W2092363816 hasConcept C134306372 @default.
- W2092363816 hasConcept C135252773 @default.
- W2092363816 hasConcept C138885662 @default.
- W2092363816 hasConcept C141718189 @default.
- W2092363816 hasConcept C152442038 @default.
- W2092363816 hasConcept C154945302 @default.
- W2092363816 hasConcept C2776135515 @default.
- W2092363816 hasConcept C27872270 @default.
- W2092363816 hasConcept C28826006 @default.
- W2092363816 hasConcept C33923547 @default.
- W2092363816 hasConcept C41008148 @default.
- W2092363816 hasConcept C75553542 @default.
- W2092363816 hasConcept C79248915 @default.
- W2092363816 hasConceptScore W2092363816C111472728 @default.
- W2092363816 hasConceptScore W2092363816C11413529 @default.
- W2092363816 hasConceptScore W2092363816C126255220 @default.
- W2092363816 hasConceptScore W2092363816C134306372 @default.
- W2092363816 hasConceptScore W2092363816C135252773 @default.
- W2092363816 hasConceptScore W2092363816C138885662 @default.
- W2092363816 hasConceptScore W2092363816C141718189 @default.
- W2092363816 hasConceptScore W2092363816C152442038 @default.
- W2092363816 hasConceptScore W2092363816C154945302 @default.
- W2092363816 hasConceptScore W2092363816C2776135515 @default.
- W2092363816 hasConceptScore W2092363816C27872270 @default.
- W2092363816 hasConceptScore W2092363816C28826006 @default.
- W2092363816 hasConceptScore W2092363816C33923547 @default.
- W2092363816 hasConceptScore W2092363816C41008148 @default.
- W2092363816 hasConceptScore W2092363816C75553542 @default.
- W2092363816 hasConceptScore W2092363816C79248915 @default.
- W2092363816 hasIssue "4" @default.
- W2092363816 hasLocation W20923638161 @default.
- W2092363816 hasLocation W20923638162 @default.
- W2092363816 hasOpenAccess W2092363816 @default.
- W2092363816 hasPrimaryLocation W20923638161 @default.
- W2092363816 hasRelatedWork W1989857057 @default.
- W2092363816 hasRelatedWork W2020951562 @default.
- W2092363816 hasRelatedWork W2062342781 @default.
- W2092363816 hasRelatedWork W2175755763 @default.
- W2092363816 hasRelatedWork W2188929001 @default.
- W2092363816 hasRelatedWork W2394283419 @default.
- W2092363816 hasRelatedWork W2507941141 @default.
- W2092363816 hasRelatedWork W2897351194 @default.
- W2092363816 hasRelatedWork W2922376621 @default.
- W2092363816 hasRelatedWork W4385317013 @default.
- W2092363816 hasVolume "52" @default.