메뉴 건너뛰기




Volumn 86, Issue 3, 2006, Pages 496-510

A simple test to check the optimality of a sparse signal approximation

Author keywords

Approximation; Basis pursuit; Bayesian estimation; Convex programming; FOCUSS; Greedy algorithm; Identifiability; Inverse problem; Matching pursuit; Overcomplete dictionary; Sparse prior; Sparse representation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; INVERSE PROBLEMS; PROBLEM SOLVING;

EID: 30844450612     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2005.05.026     Document Type: Article
Times cited : (33)

References (14)
  • 1
    • 17544369568 scopus 로고    scopus 로고
    • Sparse geometrical image approximation with bandelets
    • E. Le Pennec, and S. Mallat Sparse geometrical image approximation with bandelets IEEE Trans. Image Process. 14 4 2005 423 438
    • (2005) IEEE Trans. Image Process. , vol.14 , Issue.4 , pp. 423-438
    • Le Pennec, E.1    Mallat, S.2
  • 2
    • 0000660321 scopus 로고    scopus 로고
    • Blind source separation by sparse decomposition in a signal dictionary
    • M. Zibulevsky, and B.A. Pearlmutter Blind source separation by sparse decomposition in a signal dictionary Neural Computations 13 4 2001 863 882
    • (2001) Neural Computations , vol.13 , Issue.4 , pp. 863-882
    • Zibulevsky, M.1    Pearlmutter, B.A.2
  • 4
    • 0027842081 scopus 로고
    • Matching pursuit with time-frequency dictionaries
    • S. Mallat, and Z. Zhang Matching pursuit with time-frequency dictionaries IEEE Trans. Signal Process. 41 12 December 1993 3397 3415
    • (1993) IEEE Trans. Signal Process. , vol.41 , Issue.12 , pp. 3397-3415
    • Mallat, S.1    Zhang, Z.2
  • 7
    • 0031102203 scopus 로고    scopus 로고
    • Sparse signal reconstruction from limited data using FOCUSS: A reweighted norm minimization algorithm
    • I.F. Gorodnitsky, and B.D. Rao Sparse signal reconstruction from limited data using FOCUSS: a reweighted norm minimization algorithm IEEE Trans. Signal Process. 45 3 March 1997 600 616
    • (1997) IEEE Trans. Signal Process. , vol.45 , Issue.3 , pp. 600-616
    • Gorodnitsky, I.F.1    Rao, B.D.2
  • 8
    • 33144483155 scopus 로고    scopus 로고
    • Stable recovery of sparse overcomplete representations in the presence of noise
    • to appear
    • D. Donoho, M. Elad, V. Temlyakov, Stable recovery of sparse overcomplete representations in the presence of noise, IEEE Trans. Inform. Theory, to appear.
    • IEEE Trans. Inform. Theory
    • Donoho, D.1    Elad, M.2    Temlyakov, V.3
  • 9
    • 5444240912 scopus 로고    scopus 로고
    • Just relax: Convex programming methods for subset selection and sparse approximation
    • Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, February
    • J.A. Tropp, Just relax: Convex programming methods for subset selection and sparse approximation, Technical Report 04-04, Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, February 2004.
    • (2004) Technical Report , vol.4 , Issue.4
    • Tropp, J.A.1
  • 10
    • 30844472100 scopus 로고    scopus 로고
    • Recovery of exact sparse representations in the presence of bounded noise
    • IRISA, Rennes, France, April submitted for publication
    • J.-J. Fuchs, Recovery of exact sparse representations in the presence of bounded noise, Technical Report 1618, IRISA, Rennes, France, April 2004, submitted for publication.
    • (2004) Technical Report , vol.1618
    • Fuchs, J.-J.1
  • 11
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • J.A. Tropp Greed is good: algorithmic results for sparse approximation IEEE Trans. Inform. Theory 50 10 October 2004 2231 2242
    • (2004) IEEE Trans. Inform. Theory , vol.50 , Issue.10 , pp. 2231-2242
    • Tropp, J.A.1
  • 12
    • 5444265062 scopus 로고    scopus 로고
    • On the exponential convergence of matching pursuit in quasi-incoherent dictionaries
    • IRISA, Rennes, France, April
    • R. Gribonval, P. Vandergheynst, On the exponential convergence of Matching Pursuit in quasi-incoherent dictionaries, Technical Report 1619, IRISA, Rennes, France, April 2004.
    • (2004) Technical Report , vol.1619
    • Gribonval, R.1    Vandergheynst, P.2
  • 13
    • 0344012587 scopus 로고    scopus 로고
    • Noise sensitivity of sparse signal representations: Reconstruction error bounds for the inverse problem
    • B. Wohlberg Noise sensitivity of sparse signal representations: reconstruction error bounds for the inverse problem IEEE Trans. Signal Process. 51 12 December 2003 3053 3060
    • (2003) IEEE Trans. Signal Process. , vol.51 , Issue.12 , pp. 3053-3060
    • Wohlberg, B.1
  • 14
    • 4344582186 scopus 로고    scopus 로고
    • Highly sparse representations from dictionaries are unique and independent of the sparseness measure
    • Department of Math Sciences, Aalborg University, October
    • R. Gribonval, M. Nielsen, Highly sparse representations from dictionaries are unique and independent of the sparseness measure, Technical Report R-2003-16, Department of Math Sciences, Aalborg University, October 2003.
    • (2003) Technical Report , vol.R-2003-16
    • Gribonval, R.1    Nielsen, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.