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Volumn 7, Issue 2, 2008, Pages 197-215

On the impossibility of uniform sparse reconstruction using greedy methods

Author keywords

Compressed sensing; Greedy algorithms; Orthogonal matching pursuit; Random sampling; Sparse recovery; Thresholding; Trigonometric polynomials

Indexed keywords


EID: 49249108566     PISSN: 15306429     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (45)

References (16)
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    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 3
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    • Stable signal recovery from incomplete and inaccurate measurements
    • E. Candès, J. Romberg, and T. Tao, Stable signal recovery from incomplete and inaccurate measurements. Comm. Pure Appl. Math., 59(8), 1207-1223, 2006.
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    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 4
    • 33947416035 scopus 로고    scopus 로고
    • Near optimal signal recovery from random projections: Universal encoding strategies?
    • E. Candès and T. Tao, Near optimal signal recovery from random projections: universal encoding strategies?, IEEE Trans. Inform. Theory, 52(12), 5406-5425, 2006.
    • (2006) IEEE Trans. Inform. Theory , vol.52 , Issue.12 , pp. 5406-5425
    • Candès, E.1    Tao, T.2
  • 6
    • 38349047428 scopus 로고    scopus 로고
    • Compressed sensing and best k-term approximation
    • preprint
    • A. Cohen, W. Dahmen, and R. DeVore, Compressed sensing and best k-term approximation, preprint,
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  • 7
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    • Compressed sensing
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  • 8
    • 33646365077 scopus 로고    scopus 로고
    • 1 solution is also the sparsest solution
    • 1 solution is also the sparsest solution, Commun. Pure Appl. Anal., 59(6), 797-829, 2006.
    • (2006) Commun. Pure Appl. Anal , vol.59 , Issue.6 , pp. 797-829
    • Donoho, D.L.1
  • 9
    • 64649083745 scopus 로고    scopus 로고
    • Signal recovery from random measurements via orthogonal matching pursuit
    • A. C. Gilbert and J. A. Tropp, Signal recovery from random measurements via orthogonal matching pursuit, IEEE Trans. Inform. Theory, 53(12), 4655-4666, 2007.
    • (2007) IEEE Trans. Inform. Theory , vol.53 , Issue.12 , pp. 4655-4666
    • Gilbert, A.C.1    Tropp, J.A.2
  • 10
    • 57149139112 scopus 로고    scopus 로고
    • Random sampling of sparse trigonometric polynomials II - orthogonal matching pursuit versus basis pursuit
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    • S. Kunis and H. Rauhut, Random sampling of sparse trigonometric polynomials II - orthogonal matching pursuit versus basis pursuit, Found. Comput. Math., to appear.
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    • Kunis, S.1    Rauhut, H.2
  • 11
    • 44849091138 scopus 로고    scopus 로고
    • Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit
    • preprint
    • D. Needell and R. Vershynin, Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit, preprint, 2007.
    • (2007)
    • Needell, D.1    Vershynin, R.2
  • 12
    • 57349155099 scopus 로고    scopus 로고
    • Stability results for random sampling of sparse trigonometric polynomials
    • to appear
    • H. Rauhut, Stability results for random sampling of sparse trigonometric polynomials, IEEE, Trans. Inform. Theory, to appear.
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    • Rauhut, H.1
  • 13
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    • Random sampling of spaxse trigonometric polynomials
    • H. Rauhut, Random sampling of spaxse trigonometric polynomials, Appl. Comput. Harmon. Anal., 22(1), 16-42, 2007.
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    • Rauhut, H.1
  • 15
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    • On sparse reconstruction from Fourier and Gaussian measurements
    • to appear
    • M. Rudelson and R. Vershynin, On sparse reconstruction from Fourier and Gaussian measurements, Comm. Pure Appl. Math., to appear.
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  • 16
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.