Matches in SemOpenAlex for { <https://semopenalex.org/work/W1505294114> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W1505294114 abstract "In this technical report we present a Projection onto Convex Sets (POCS) type algorithm for solving systems of linear equations. POCS methods have found many applications ranging from computer tomography to digital signal and image processing. The Kaczmarz method is one of the most popular solvers for overdetermined systems of linear equations due to its speed and simplicity. Here we introduce and analyze an extension of the Kaczmarz method which iteratively projects the estimate onto a solution space given from two randomly selected rows. We show that this projection algorithm provides exponential convergence to the solution in expectation. The convergence rate significantly improves upon that of the standard randomized Kaczmarz method when the system has coherent rows. We also show that the method is robust to noise, and converges exponentially in expectation to the noise floor. Experimental results are provided which confirm that in the coherent case our method significantly outperforms the randomized Kaczmarz method." @default.
- W1505294114 created "2016-06-24" @default.
- W1505294114 creator A5024153474 @default.
- W1505294114 creator A5040543665 @default.
- W1505294114 date "2012-04-01" @default.
- W1505294114 modified "2023-09-27" @default.
- W1505294114 title "Two-subspace Projection Method for Coherent Overdetermined Systems (Technical Report)" @default.
- W1505294114 cites W1547069553 @default.
- W1505294114 cites W1600587676 @default.
- W1505294114 cites W1992228381 @default.
- W1505294114 cites W2007399394 @default.
- W1505294114 cites W2014513111 @default.
- W1505294114 cites W2020004242 @default.
- W1505294114 cites W2048305372 @default.
- W1505294114 cites W2052610157 @default.
- W1505294114 cites W2091826725 @default.
- W1505294114 cites W2167820643 @default.
- W1505294114 cites W292488958 @default.
- W1505294114 cites W2950353378 @default.
- W1505294114 hasPublicationYear "2012" @default.
- W1505294114 type Work @default.
- W1505294114 sameAs 1505294114 @default.
- W1505294114 citedByCount "0" @default.
- W1505294114 crossrefType "posted-content" @default.
- W1505294114 hasAuthorship W1505294114A5024153474 @default.
- W1505294114 hasAuthorship W1505294114A5040543665 @default.
- W1505294114 hasConcept C11413529 @default.
- W1505294114 hasConcept C115961682 @default.
- W1505294114 hasConcept C126255220 @default.
- W1505294114 hasConcept C127162648 @default.
- W1505294114 hasConcept C134306372 @default.
- W1505294114 hasConcept C154945302 @default.
- W1505294114 hasConcept C202426404 @default.
- W1505294114 hasConcept C28826006 @default.
- W1505294114 hasConcept C31258907 @default.
- W1505294114 hasConcept C32834561 @default.
- W1505294114 hasConcept C33923547 @default.
- W1505294114 hasConcept C41008148 @default.
- W1505294114 hasConcept C57493831 @default.
- W1505294114 hasConcept C57869625 @default.
- W1505294114 hasConcept C65557600 @default.
- W1505294114 hasConcept C6802819 @default.
- W1505294114 hasConcept C81901731 @default.
- W1505294114 hasConcept C99498987 @default.
- W1505294114 hasConceptScore W1505294114C11413529 @default.
- W1505294114 hasConceptScore W1505294114C115961682 @default.
- W1505294114 hasConceptScore W1505294114C126255220 @default.
- W1505294114 hasConceptScore W1505294114C127162648 @default.
- W1505294114 hasConceptScore W1505294114C134306372 @default.
- W1505294114 hasConceptScore W1505294114C154945302 @default.
- W1505294114 hasConceptScore W1505294114C202426404 @default.
- W1505294114 hasConceptScore W1505294114C28826006 @default.
- W1505294114 hasConceptScore W1505294114C31258907 @default.
- W1505294114 hasConceptScore W1505294114C32834561 @default.
- W1505294114 hasConceptScore W1505294114C33923547 @default.
- W1505294114 hasConceptScore W1505294114C41008148 @default.
- W1505294114 hasConceptScore W1505294114C57493831 @default.
- W1505294114 hasConceptScore W1505294114C57869625 @default.
- W1505294114 hasConceptScore W1505294114C65557600 @default.
- W1505294114 hasConceptScore W1505294114C6802819 @default.
- W1505294114 hasConceptScore W1505294114C81901731 @default.
- W1505294114 hasConceptScore W1505294114C99498987 @default.
- W1505294114 hasLocation W15052941141 @default.
- W1505294114 hasOpenAccess W1505294114 @default.
- W1505294114 hasPrimaryLocation W15052941141 @default.
- W1505294114 hasRelatedWork W1962434439 @default.
- W1505294114 hasRelatedWork W1967981081 @default.
- W1505294114 hasRelatedWork W1972417355 @default.
- W1505294114 hasRelatedWork W1975826938 @default.
- W1505294114 hasRelatedWork W1979531523 @default.
- W1505294114 hasRelatedWork W1992447433 @default.
- W1505294114 hasRelatedWork W2013969301 @default.
- W1505294114 hasRelatedWork W2053342145 @default.
- W1505294114 hasRelatedWork W2099454114 @default.
- W1505294114 hasRelatedWork W2105160183 @default.
- W1505294114 hasRelatedWork W2108505299 @default.
- W1505294114 hasRelatedWork W2144037063 @default.
- W1505294114 hasRelatedWork W2289585590 @default.
- W1505294114 hasRelatedWork W2292915796 @default.
- W1505294114 hasRelatedWork W2547113636 @default.
- W1505294114 hasRelatedWork W2790573335 @default.
- W1505294114 hasRelatedWork W2901991937 @default.
- W1505294114 hasRelatedWork W2950353378 @default.
- W1505294114 hasRelatedWork W2969263114 @default.
- W1505294114 hasRelatedWork W3030969645 @default.
- W1505294114 isParatext "false" @default.
- W1505294114 isRetracted "false" @default.
- W1505294114 magId "1505294114" @default.
- W1505294114 workType "article" @default.