Codes for exact support recovery of sparse vectors from inaccurate linear measurements and their decoding
- Authors: Fernandez M.1, Kabatiansky G.A2, Kruglik S.A3, Miao Y.4
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Affiliations:
- Universitat Politicnica de Catalunya
- Skolkovo Institute of Science and Technology (Skoltech)
- Nanyang Technological University
- University of Tsukuba
- Issue: Vol 59, No 1 (2023)
- Pages: 17-24
- Section: Articles
- URL: https://journals.rcsi.science/0555-2923/article/view/141985
- DOI: https://doi.org/10.31857/S0555292323010023
- EDN: https://elibrary.ru/JDHVDR
- ID: 141985
Cite item
Abstract
We construct codes that allow to exactly recover the support of an unknown sparse vector with almost equal absolute values of all nonzero coordinates given results of linear measurements in the presence of noise with ℓp-norm bounded from above. We propose a decoding algorithm with asymptotically minimum complexity.
About the authors
Marcel Fernandez
Universitat Politicnica de Catalunya
Email: marcelf@entel.upc.edu
Barcelona, Spain
G. A Kabatiansky
Skolkovo Institute of Science and Technology (Skoltech)
Email: g.kabatyansky@skoltech.ru
Moscow, Russia
S. A Kruglik
Nanyang Technological University
Email: stanislav.kruglik@ntu.edu.sg
Singapore
Ying Miao
University of Tsukuba
Email: miao@sk.tsukuba.ac.jp
Tsukuba, Ibaraki, Japan
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