Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskie Zametki, 2007, Volume 82, Issue 6, Pages 829–837
DOI: https://doi.org/10.4213/mzm4183
(Mi mzm4183)
 

This article is cited in 77 scientific papers (total in 77 papers)

A Remark on Compressed Sensing

B. S. Kashina, V. N. Temlyakovb

a Steklov Mathematical Institute, Russian Academy of Sciences
b University of South Carolina
References:
Abstract: Recently, a new direction in signal processing – “Compressed Sensing” is being actively developed. A number of authors have pointed out a connection between the Compressed Sensing problem and the problem of estimating the Kolmogorov widths, studied in the seventies and eighties of the last century. In this paper we make the above mentioned connection more precise.
Keywords: compressed sensing, signal processing, Kolmogorov width, Gelfand width, sparsity, restricted isometry property, combinatorial optimization problem.
Received: 15.08.2007
English version:
Mathematical Notes, 2007, Volume 82, Issue 6, Pages 748–755
DOI: https://doi.org/10.1134/S0001434607110193
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: B. S. Kashin, V. N. Temlyakov, “A Remark on Compressed Sensing”, Mat. Zametki, 82:6 (2007), 829–837; Math. Notes, 82:6 (2007), 748–755
Citation in format AMSBIB
\Bibitem{KasTem07}
\by B.~S.~Kashin, V.~N.~Temlyakov
\paper A Remark on Compressed Sensing
\jour Mat. Zametki
\yr 2007
\vol 82
\issue 6
\pages 829--837
\mathnet{http://mi.mathnet.ru/mzm4183}
\crossref{https://doi.org/10.4213/mzm4183}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2399963}
\zmath{https://zbmath.org/?q=an:1155.94014}
\elib{https://elibrary.ru/item.asp?id=9901587}
\transl
\jour Math. Notes
\yr 2007
\vol 82
\issue 6
\pages 748--755
\crossref{https://doi.org/10.1134/S0001434607110193}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000252128700019}
\elib{https://elibrary.ru/item.asp?id=13553865}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38349077426}
Linking options:
  • https://www.mathnet.ru/eng/mzm4183
  • https://doi.org/10.4213/mzm4183
  • https://www.mathnet.ru/eng/mzm/v82/i6/p829
  • This publication is cited in the following 77 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:2004
    Full-text PDF :527
    References:138
    First page:121
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024