Uniform Uncertainty Principle for Bernoulli and Subgaussian Ensembles
dc.contributor.author | Mendelson, Shahar | |
dc.contributor.author | Pajor, Alain | |
dc.contributor.author | Tomczak-Jaegermann, Nicole | |
dc.date.accessioned | 2015-12-08T22:18:10Z | |
dc.date.issued | 2008 | |
dc.date.updated | 2016-02-24T10:35:15Z | |
dc.description.abstract | The paper considers random matrices with independent subgaussian columns and provides a new elementary proof of the Uniform Uncertainty Principle for such matrices. The Principle was introduced by Candes, Romberg and Tao in 2004; for subgaussian random matrices it was carlier proved by the present authors, as a consequence of a general result based on a generic chaining method of Talagrand. The present proof combines a simple measure concentration and a covering argument, which are standard tools of high-dimensional convexity. | |
dc.identifier.issn | 0176-4276 | |
dc.identifier.uri | http://hdl.handle.net/1885/31228 | |
dc.publisher | Springer | |
dc.source | Constructive Approximation | |
dc.subject | Keywords: Approximate reconstruction; Generic chaining; Random matrices; Uniform uncertainty principle | |
dc.title | Uniform Uncertainty Principle for Bernoulli and Subgaussian Ensembles | |
dc.type | Journal article | |
local.bibliographicCitation.issue | 3 | |
local.bibliographicCitation.lastpage | 289 | |
local.bibliographicCitation.startpage | 277 | |
local.contributor.affiliation | Mendelson, Shahar, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Pajor, Alain, Universite de Marne-la-Vallee | |
local.contributor.affiliation | Tomczak-Jaegermann, Nicole, University of Alberta | |
local.contributor.authoremail | u4011413@anu.edu.au | |
local.contributor.authoruid | Mendelson, Shahar, u4011413 | |
local.description.embargo | 2037-12-31 | |
local.description.notes | Imported from ARIES | |
local.identifier.absfor | 010405 - Statistical Theory | |
local.identifier.ariespublication | u4085724xPUB81 | |
local.identifier.citationvolume | 28 | |
local.identifier.doi | 10.1007/s00365-007-9005-8 | |
local.identifier.scopusID | 2-s2.0-55649100730 | |
local.identifier.uidSubmittedBy | u4085724 | |
local.type.status | Published Version |
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