메뉴 건너뛰기




Volumn 21, Issue 1, 2011, Pages 287-313

A first-order smoothed penalty method for compressed sensing

Author keywords

Basis pursuit; Compressed sensing; l1 minimization; Nesterov's method; Smooth approximation of nonsmooth functions; Sparse optimization

Indexed keywords

BASIS PURSUITS; COMPRESSED SENSING; L1-MINIMIZATION; NESTEROV'S METHOD; SMOOTH APPROXIMATION OF NONSMOOTH FUNCTIONS; SPARSE OPTIMIZATION;

EID: 79957449870     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/090762294     Document Type: Article
Times cited : (35)

References (20)
  • 1
    • 84897481778 scopus 로고    scopus 로고
    • Fast reconstruction of CT images from parsimonious angular measurements via compressed sensing
    • submitted
    • N. S. AYBAT AND A. CHAKRABORTY, Fast reconstruction of CT images from parsimonious angular measurements via compressed sensing, SIAM J. Imaging Sci., 2009, submitted.
    • (2009) SIAM J. Imaging Sci.
    • Aybat, N.S.1    Chakraborty, A.2
  • 2
    • 79957484904 scopus 로고    scopus 로고
    • A first-order augmented Lagrangian method for compressed sensing
    • submitted
    • N. S. AYBAT AND G. IYENGAR, A first-order augmented Lagrangian method for compressed sensing, SIAM J. Optim., 2009, submitted.
    • (2009) SIAM J. Optim.
    • Aybat, N.S.1    Iyengar, G.2
  • 3
    • 79551550744 scopus 로고    scopus 로고
    • Nesta: A fast and accurate first-order method for sparse recovery
    • S. BECKER, J. BOBIN, AND E. CANDÈS, Nesta: A fast and accurate first-order method for sparse recovery, SIAM J. Imaging Sci., 4 (2011), pp. 1-39.
    • (2011) SIAM J. Imaging Sci. , vol.4 , pp. 1-39
    • Becker, S.1    Bobin, J.2    Candès, E.3
  • 4
    • 33744726904 scopus 로고    scopus 로고
    • Quantitative robust uncertainty principles and optimally sparse decompositions
    • DOI 10.1007/s10208-004-0162-x
    • E. CANDÈS AND J. ROMBERG, Quantitative robust uncertainty principles and optimally sparse decompositions, Found. Comput. Math., 6 (2006), pp. 227-254. (Pubitemid 43824483)
    • (2006) Foundations of Computational Mathematics , vol.6 , Issue.2 , pp. 227-254
    • Candes, E.J.1    Romberg, J.2
  • 5
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • DOI 10.1109/TIT.2005.862083
    • E. CANDÈS, J. ROMBERG, AND T. TAO, Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information, IEEE Trans. Inform. Theory, 52 (2006), pp. 489-509. (Pubitemid 43174093)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.2 , pp. 489-509
    • Candes, E.J.1    Romberg, J.2    Tao, T.3
  • 6
    • 33947416035 scopus 로고    scopus 로고
    • Near-optimal signal recovery from random projections: Universal encoding strategies?
    • DOI 10.1109/TIT.2006.885507
    • E. CANDÈS AND T. TAO, Near optimal signal recovery from random projections: Universal encoding strategies?, IEEE Trans. Inform. Theory, 52 (2006), pp. 5406-5425. (Pubitemid 46445381)
    • (2006) IEEE Transactions on Information Theory , vol.52 , Issue.12 , pp. 5406-5425
    • Candes, E.J.1    Tao, T.2
  • 7
    • 7044231546 scopus 로고    scopus 로고
    • An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
    • DOI 10.1002/cpa.20042
    • I. DAUBECHIES, M. DEFRISE, AND C. DE MOL, An iterative thresholding algorithm for linear inverse problems with a sparsity constraint, Comm. Pure Appl. Math., 57 (2004), pp. 1413-1457. (Pubitemid 39427442)
    • (2004) Communications on Pure and Applied Mathematics , vol.57 , Issue.11 , pp. 1413-1457
    • Daubechies, I.1    Defrise, M.2    De Mol, C.3
  • 8
    • 57349127864 scopus 로고    scopus 로고
    • Accelerated projected gradient method for linear inverse problems with sparsity constraints
    • I. DAUBECHIES, M. FORNASIER, AND I. LORIS, Accelerated projected gradient method for linear inverse problems with sparsity constraints, J. Fourier Anal. Appl., 14 (2008), pp. 764-792.
    • (2008) J. Fourier Anal. Appl. , vol.14 , pp. 764-792
    • Daubechies, I.1    Fornasier, M.2    Loris, I.3
  • 9
  • 10
    • 39449126969 scopus 로고    scopus 로고
    • Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
    • DOI 10.1109/JSTSP.2007.910281
    • M. A. FIGUEIREDO, R. NOWAK, AND S. J. WRIGHT, Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems, IEEE J. Sel. Top. Signal Process., 1 (2007), pp. 586-597. (Pubitemid 351276802)
    • (2007) IEEE Journal on Selected Topics in Signal Processing , vol.1 , Issue.4 , pp. 586-597
    • Figueiredo, M.A.T.1    Nowak, R.D.2    Wright, S.J.3
  • 12
    • 69649095451 scopus 로고    scopus 로고
    • 1-minimization: Methodology and convergence
    • 1-minimization: Methodology and convergence, SIAM J. Optim., 19 (2008), pp. 1107-1130.
    • (2008) SIAM J. Optim. , vol.19 , pp. 1107-1130
    • Hale, E.T.1    Yin, W.2    Zhang, Y.3
  • 13
    • 77953115320 scopus 로고    scopus 로고
    • Smoothing techniques for computing nash equilibria of sequential games
    • S. HODA, A. GILPIN, AND J. PENA, Smoothing techniques for computing nash equilibria of sequential games, Math. Oper. Res., 35 (2010), pp. 494-512.
    • (2010) Math. Oper. Res. , vol.35 , pp. 494-512
    • Hoda, S.1    Gilpin, A.2    Pena, J.3
  • 15
    • 77951929218 scopus 로고    scopus 로고
    • Solver for l1-regularized least squares problems
    • Stanford University, Stanford, CA
    • K. KOH, S. J. KIM, AND S. BOYD, Solver for l1-regularized least squares problems, Technical report, Stanford University, Stanford, CA, 2007.
    • (2007) Technical Report
    • Koh, K.1    Kim, S.J.2    Boyd, S.3
  • 17
    • 17444406259 scopus 로고    scopus 로고
    • Smooth minimization of nonsmooth functions
    • YU. NESTEROV, Smooth minimization of nonsmooth functions, Math. Program., 103 (2005), pp. 127-152.
    • (2005) Math. Program. , vol.103 , pp. 127-152
    • Nesterov, Yu.1
  • 18
    • 65649137930 scopus 로고    scopus 로고
    • Probing the pareto frontier for basis pursuit solutions
    • E. VAN DEN BERG AND M. P. FRIEDLANDER, Probing the pareto frontier for basis pursuit solutions, SIAM J. Sci. Comput., 31 (2008), pp. 890-912.
    • (2008) SIAM J. Sci. Comput. , vol.31 , pp. 890-912
    • Van Den Berg, E.1    Friedlander, M.P.2
  • 19
    • 77955666600 scopus 로고    scopus 로고
    • A fast algorithm for sparse reconstruction based on shrinkage, subspace optimization, and continuation
    • Z. WEN, W. YIN, D. GOLDFARB, AND Y. ZHANG, A fast algorithm for sparse reconstruction based on shrinkage, subspace optimization, and continuation, SIAM J. Sci. Comput., 32 (2010), pp. 1832-1857.
    • (2010) SIAM J. Sci. Comput. , vol.32 , pp. 1832-1857
    • Wen, Z.1    Yin, W.2    Goldfarb, D.3    Zhang, Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.