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Title: Obtaining error-minimizing estimates and universal entry-wise error bounds for low-rank matrix completion
Authors: Király, Franz J.Theran, Louis
Publishers version: https://doi.org/10.14760/OWP-2013-12
URI: https://doi.org/10.34657/2792
https://oa.tib.eu/renate/handle/123456789/3424
Issue Date: 2013
Published in: Oberwolfach Preprints (OWP), Volume 2013-12, ISSN 1864-7596
Publisher: Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
Abstract: We propose a general framework for reconstructing and denoising single entries of incomplete and noisy entries. We describe: effective algorithms for deciding if and entry can be reconstructed and, if so, for reconstructing and denoising it; and a priori bounds on the error of each entry, individually. In the noiseless case our algorithm is exact. For rank-one matrices, the new algorithm is fast, admits a highly-parallel implementation, and produces an error minimizing estimate that is qualitatively close to our theoretical and the state-of-the-art Nuclear Norm and OptSpace methods.
Type: report; Text
Publishing status: publishedVersion
DDC: 510
License: CC BY-SA 3.0 US
Link to license: https://creativecommons.org/licenses/by-sa/3.0/us/
Appears in Collections:Mathematik

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Király, Franz J. and Louis Theran, 2013. Obtaining error-minimizing estimates and universal entry-wise error bounds for low-rank matrix completion. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
Király, F. J. and Theran, L. (2013) Obtaining error-minimizing estimates and universal entry-wise error bounds for low-rank matrix completion. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. doi: https://doi.org/10.14760/OWP-2013-12.
Király F J, Theran L. Obtaining error-minimizing estimates and universal entry-wise error bounds for low-rank matrix completion. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach; 2013.
Király, F. J., & Theran, L. (2013). Obtaining error-minimizing estimates and universal entry-wise error bounds for low-rank matrix completion (Version publishedVersion). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. https://doi.org/https://doi.org/10.14760/OWP-2013-12
Király F J, Theran L. Obtaining error-minimizing estimates and universal entry-wise error bounds for low-rank matrix completion. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach; 2013. doi:https://doi.org/10.14760/OWP-2013-12


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