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Volumn 24, Issue 5, 2008, Pages

Sparse regularization with lq penalty term

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EID: 54749134210     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/24/5/055020     Document Type: Article
Times cited : (184)

References (29)
  • 1
    • 41449101407 scopus 로고    scopus 로고
    • A generalized conditional gradient method for nonlinear operator equations with sparsity constraints
    • Bonesky T, Bredies K, Lorenz D and Maass P 2007 A generalized conditional gradient method for nonlinear operator equations with sparsity constraints Inverse Problems 23 2041-58
    • (2007) Inverse Problems , vol.23 , Issue.5 , pp. 2041-2058
    • Bonesky, T.1    Bredies, K.2    Lorenz, D.3    Maass, P.4
  • 3
    • 41449091142 scopus 로고    scopus 로고
    • Iterated hard shrinkage for minimization problems with sparsity constraints
    • Bredies K and Lorenz D 2008 Iterated hard shrinkage for minimization problems with sparsity constraints SIAM J. Sci. Comput. 30 657-83
    • (2008) SIAM J. Sci. Comput. , vol.30 , Issue.2 , pp. 657-683
    • Bredies, K.1    Lorenz, D.2
  • 4
    • 57349100926 scopus 로고    scopus 로고
    • Bredies K and Lorenz D 2008 Linear convergence of iterative soft-thresholding arXiv:0709.1598v4 (J. Fourier Anal. Appl. at press)
    • (2008)
    • Bredies, K.1    Lorenz, D.2
  • 5
    • 6444243748 scopus 로고    scopus 로고
    • Convergence rates of convex variational regularization
    • Burger M and Osher S 2004 Convergence rates of convex variational regularization Inverse Problems 20 1411-21
    • (2004) Inverse Problems , vol.20 , Issue.5 , pp. 1411-1421
    • Burger, M.1    Osher, S.2
  • 6
    • 0042972614 scopus 로고    scopus 로고
    • On uniform convexity, total convexity and convergence of the proximal point and outer Bregman projection algorithms in Banach spaces
    • Butnariu D, Iusem A N and Zǎlinescu C 2003 On uniform convexity, total convexity and convergence of the proximal point and outer Bregman projection algorithms in Banach spaces J. Convex Anal. 10 35-61
    • (2003) J. Convex Anal. , vol.10 , pp. 35-61
    • Butnariu, D.1    Iusem, A.N.2    Zǎlinescu, C.3
  • 7
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • Candès E J, Romberg J and Tao T 2006 Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information IEEE Trans. Inf. Theory 52 489-509
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.2 , pp. 489-509
    • Candès, E.J.1    Romberg, J.2    Tao, T.3
  • 8
    • 34548677063 scopus 로고    scopus 로고
    • Proximal thresholding algorithm for minimization over orthonormal bases
    • Combettes P L and Pesquet J-C 2007 Proximal thresholding algorithm for minimization over orthonormal bases SIAM J. Optim. 18 1351-76
    • (2007) SIAM J. Optim. , vol.18 , Issue.4 , pp. 1351-1376
    • Combettes, P.L.1    Pesquet, J.-C.2
  • 9
    • 30844438177 scopus 로고    scopus 로고
    • Signal recovery by proximal forward-backward splitting
    • Combettes P L and Wajs V R 2005 Signal recovery by proximal forward-backward splitting Multiscale Model. Simul. 4 1168-200 (electronic)
    • (2005) Multiscale Model. Simul. , vol.4 , Issue.4 , pp. 1168-1200
    • Combettes, P.L.1    Wajs, V.R.2
  • 10
    • 7044231546 scopus 로고    scopus 로고
    • An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
    • Daubechies I, Defrise M and De Mol C 2004 An iterative thresholding algorithm for linear inverse problems with a sparsity constraint Commun. Pure Appl. Math. 57 1413-57
    • (2004) Commun. Pure Appl. Math. , vol.57 , Issue.11 , pp. 1413-1457
    • Daubechies, I.1    Defrise, M.2    De Mol, C.3
  • 11
    • 57349127864 scopus 로고    scopus 로고
    • Accelerated projected gradient methods for linear inverse problems with sparsity constraints
    • Daubechies I, Fornasier M and Loris I 2008 Accelerated projected gradient methods for linear inverse problems with sparsity constraints J. Fourier Anal. Appl. To appear
    • (2008) J. Fourier Anal. Appl.
    • Daubechies, I.1    Fornasier, M.2    Loris, I.3
  • 12
    • 0033360505 scopus 로고    scopus 로고
    • A new approach towards simultaneous activity and attenuation reconstruction in emission tomography
    • Dicken V 1999 A new approach towards simultaneous activity and attenuation reconstruction in emission tomography Inverse Problems 15 931-60
    • (1999) Inverse Problems , vol.15 , Issue.4 , pp. 931-960
    • Dicken, V.1
  • 14
  • 16
    • 36149030945 scopus 로고
    • Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems
    • Engl H W, Kunisch K and Neubauer A 1989 Convergence rates for Tikhonov regularisation of nonlinear ill-posed problems Inverse Problems 5 523-40
    • (1989) Inverse Problems , vol.5 , Issue.4 , pp. 523-540
    • Engl, H.W.1    Kunisch, K.2    Neubauer, A.3
  • 17
    • 39449126969 scopus 로고    scopus 로고
    • Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
    • Figueiredo M, Nowak R and Wright S 2007 Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems IEEE J. Sel. Top. Signal Process. 1 586-98
    • (2007) IEEE J. Sel. Top. Signal Process. , vol.1 , Issue.4 , pp. 586-598
    • Figueiredo, M.1    Nowak, R.2    Wright, S.3
  • 18
    • 44449098059 scopus 로고    scopus 로고
    • A semismooth newton method for tikhonov functionals with sparsity constraints
    • Griesse R and Lorenz D 2008 A semismooth newton method for tikhonov functionals with sparsity constraints Inverse Problems 24 035007
    • (2008) Inverse Problems , vol.24 , Issue.3 , pp. 035007
    • Griesse, R.1    Lorenz, D.2
  • 19
    • 44449098059 scopus 로고    scopus 로고
    • A semismooth newton method for tikhonov functionals with sparsity constraints
    • Griesse R and Lorenz D 2008 A semismooth newton method for tikhonov functionals with sparsity constraints Inverse Problems 24 19
    • (2008) Inverse Problems , vol.24 , pp. 19
    • Griesse, R.1    Lorenz, D.2
  • 20
    • 34249721452 scopus 로고    scopus 로고
    • A convergence rates result in Banach spaces with non-smooth operators
    • Hofmann B, Kaltenbacher B, Pöschl C and Scherzer O 2007 A convergence rates result in Banach spaces with non-smooth operators Inverse Problems 23 987-1010
    • (2007) Inverse Problems , vol.23 , Issue.3 , pp. 987-1010
    • Hofmann, B.1    Kaltenbacher, B.2    Pöschl, C.3    Scherzer, O.4
  • 21
    • 54749148471 scopus 로고    scopus 로고
    • Lorenz D 2008 Convergence rates and source conditions for Tikhonov regularization with sparsity constraints arXiv:0801.1774v1, at press
    • (2008)
    • Lorenz, D.1
  • 22
    • 0004865563 scopus 로고    scopus 로고
    • On converse and saturation results for Tikhonov regularization of linear ill-posed problems
    • Neubauer A 1997 On converse and saturation results for Tikhonov regularization of linear ill-posed problems SIAM J. Numer. Anal. 34 517-27
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.2 , pp. 517-527
    • Neubauer, A.1
  • 23
    • 54749146890 scopus 로고    scopus 로고
    • Regularization properties of Tikhonov regularization with sparsity constraints
    • Ramlau R 2008 Regularization properties of Tikhonov regularization with sparsity constraints Electron. Trans. Numer. Anal. 30 54-74
    • (2008) Electron. Trans. Numer. Anal. , vol.30 , pp. 54-74
    • Ramlau, R.1
  • 24
    • 33748848713 scopus 로고    scopus 로고
    • A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity constraints
    • Ramlau R and Teschke G 2006 A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity constraints Numer. Math. 104 177-203
    • (2006) Numer. Math. , vol.104 , Issue.2 , pp. 177-203
    • Ramlau, R.1    Teschke, G.2
  • 25
    • 33744766866 scopus 로고    scopus 로고
    • Error estimates for non-quadratic regularization and the relation to enhancement
    • Resmerita E and Scherzer O 2006 Error estimates for non-quadratic regularization and the relation to enhancement Inverse Problems 22 801-14
    • (2006) Inverse Problems , vol.22 , Issue.3 , pp. 801-814
    • Resmerita, E.1    Scherzer, O.2
  • 27
    • 0000043666 scopus 로고
    • On the regularization of ill-posed problems
    • Tikhonov A N 1963 On the regularization of ill-posed problems Dokl. Akad. Nauk SSSR 153 49-52
    • (1963) Dokl. Akad. Nauk SSSR , vol.153 , pp. 49-52
    • Tikhonov, A.N.1
  • 28
    • 0000043665 scopus 로고
    • On the solution of ill-posed problems and the method of regularization
    • Tikhonov A N 1963 On the solution of ill-posed problems and the method of regularization Dokl. Akad. Nauk SSSR 151 501-4
    • (1963) Dokl. Akad. Nauk SSSR , vol.151 , pp. 501-504
    • Tikhonov, A.N.1
  • 29
    • 33645712308 scopus 로고    scopus 로고
    • Just relax: Convex programming methods for identifying sparse signals in noise
    • Tropp J A 2006 Just relax: convex programming methods for identifying sparse signals in noise IEEE Trans. Inf. Theory 52 1030-51
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.3 , pp. 1030-1051
    • Tropp, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.