Matches in SemOpenAlex for { <https://semopenalex.org/work/W4304756082> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W4304756082 abstract "In this paper we study the problem of reconstruction of a low-rank matrix observed with additive Gaussian noise. First we show that under mild assumptions (about the prior distribution of the signal matrix) we can restrict our attention to reconstruction methods that are based on the singular value decomposition of the observed matrix and act only on its singular values (preserving the singular vectors). Then we determine the effect of noise on the SVD of low-rank matrices by building a connection between matrix reconstruction problem and spiked population model in random matrix theory. Based on this knowledge, we propose a new reconstruction method, called RMT, that is designed to reverse the effect of the noise on the singular values of the signal matrix and adjust for its effect on the singular vectors. With an extensive simulation study we show that the proposed method outperform even oracle versions of both soft and hard thresholding methods and closely matches the performance of a general oracle scheme." @default.
- W4304756082 created "2022-10-13" @default.
- W4304756082 creator A5036525973 @default.
- W4304756082 creator A5041524443 @default.
- W4304756082 date "2010-07-23" @default.
- W4304756082 modified "2023-09-24" @default.
- W4304756082 title "Reconstruction of a Low-rank Matrix in the Presence of Gaussian Noise" @default.
- W4304756082 doi "https://doi.org/10.48550/arxiv.1007.4148" @default.
- W4304756082 hasPublicationYear "2010" @default.
- W4304756082 type Work @default.
- W4304756082 citedByCount "0" @default.
- W4304756082 crossrefType "posted-content" @default.
- W4304756082 hasAuthorship W4304756082A5036525973 @default.
- W4304756082 hasAuthorship W4304756082A5041524443 @default.
- W4304756082 hasBestOaLocation W43047560821 @default.
- W4304756082 hasConcept C106487976 @default.
- W4304756082 hasConcept C109282560 @default.
- W4304756082 hasConcept C11413529 @default.
- W4304756082 hasConcept C114614502 @default.
- W4304756082 hasConcept C115903868 @default.
- W4304756082 hasConcept C115961682 @default.
- W4304756082 hasConcept C121332964 @default.
- W4304756082 hasConcept C134306372 @default.
- W4304756082 hasConcept C154945302 @default.
- W4304756082 hasConcept C158693339 @default.
- W4304756082 hasConcept C159985019 @default.
- W4304756082 hasConcept C163716315 @default.
- W4304756082 hasConcept C164226766 @default.
- W4304756082 hasConcept C192562407 @default.
- W4304756082 hasConcept C22789450 @default.
- W4304756082 hasConcept C25023664 @default.
- W4304756082 hasConcept C2778459887 @default.
- W4304756082 hasConcept C28826006 @default.
- W4304756082 hasConcept C33923547 @default.
- W4304756082 hasConcept C41008148 @default.
- W4304756082 hasConcept C4199805 @default.
- W4304756082 hasConcept C55166926 @default.
- W4304756082 hasConcept C62520636 @default.
- W4304756082 hasConcept C64812099 @default.
- W4304756082 hasConcept C90199385 @default.
- W4304756082 hasConcept C99498987 @default.
- W4304756082 hasConceptScore W4304756082C106487976 @default.
- W4304756082 hasConceptScore W4304756082C109282560 @default.
- W4304756082 hasConceptScore W4304756082C11413529 @default.
- W4304756082 hasConceptScore W4304756082C114614502 @default.
- W4304756082 hasConceptScore W4304756082C115903868 @default.
- W4304756082 hasConceptScore W4304756082C115961682 @default.
- W4304756082 hasConceptScore W4304756082C121332964 @default.
- W4304756082 hasConceptScore W4304756082C134306372 @default.
- W4304756082 hasConceptScore W4304756082C154945302 @default.
- W4304756082 hasConceptScore W4304756082C158693339 @default.
- W4304756082 hasConceptScore W4304756082C159985019 @default.
- W4304756082 hasConceptScore W4304756082C163716315 @default.
- W4304756082 hasConceptScore W4304756082C164226766 @default.
- W4304756082 hasConceptScore W4304756082C192562407 @default.
- W4304756082 hasConceptScore W4304756082C22789450 @default.
- W4304756082 hasConceptScore W4304756082C25023664 @default.
- W4304756082 hasConceptScore W4304756082C2778459887 @default.
- W4304756082 hasConceptScore W4304756082C28826006 @default.
- W4304756082 hasConceptScore W4304756082C33923547 @default.
- W4304756082 hasConceptScore W4304756082C41008148 @default.
- W4304756082 hasConceptScore W4304756082C4199805 @default.
- W4304756082 hasConceptScore W4304756082C55166926 @default.
- W4304756082 hasConceptScore W4304756082C62520636 @default.
- W4304756082 hasConceptScore W4304756082C64812099 @default.
- W4304756082 hasConceptScore W4304756082C90199385 @default.
- W4304756082 hasConceptScore W4304756082C99498987 @default.
- W4304756082 hasLocation W43047560821 @default.
- W4304756082 hasLocation W43047560822 @default.
- W4304756082 hasLocation W43047560823 @default.
- W4304756082 hasOpenAccess W4304756082 @default.
- W4304756082 hasPrimaryLocation W43047560821 @default.
- W4304756082 hasRelatedWork W2081940622 @default.
- W4304756082 hasRelatedWork W2325477568 @default.
- W4304756082 hasRelatedWork W2544357824 @default.
- W4304756082 hasRelatedWork W2770769192 @default.
- W4304756082 hasRelatedWork W2951931073 @default.
- W4304756082 hasRelatedWork W2964317840 @default.
- W4304756082 hasRelatedWork W3135513863 @default.
- W4304756082 hasRelatedWork W349217628 @default.
- W4304756082 hasRelatedWork W4299829359 @default.
- W4304756082 hasRelatedWork W4304756082 @default.
- W4304756082 isParatext "false" @default.
- W4304756082 isRetracted "false" @default.
- W4304756082 workType "article" @default.