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Volumn 57, Issue 7, 2009, Pages 2479-2493

Sparse reconstruction by separable approximation

Author keywords

Compressed sensing; Optimization; Reconstruction; Sparse approximation

Indexed keywords

ALGORITHMIC FRAMEWORK; APPROXIMATE SOLUTION; BASIS PURSUITS; COMMON PROBLEMS; COMPRESSED SENSING; CONVEX FUNCTIONS; ERROR TERMS; ITERATIVE ALGORITHM; LEAST ABSOLUTE SHRINKAGE AND SELECTION OPERATORS; LINEAR SYSTEMS OF EQUATIONS; NON-SMOOTH; NONCONVEX; OBJECTIVE FUNCTIONS; RECONSTRUCTION; REGULARIZER; SEPARABLE APPROXIMATION; SOLUTION TECHNIQUES; SPARSE APPROXIMATION; SPARSE RECONSTRUCTION; WAVELET-BASED DECONVOLUTION;

EID: 67650178787     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2009.2016892     Document Type: Article
Times cited : (1630)

References (81)
  • 1
    • 0001531895 scopus 로고
    • Two point step size gradient methods
    • J. Barzilai and J. Borwein, "Two point step size gradient methods," IMA J. Numer. Anal., vol. 8, no. 1, pp. 141-148, 1988.
    • (1988) IMA J. Numer. Anal , vol.8 , Issue.1 , pp. 141-148
    • Barzilai, J.1    Borwein, J.2
  • 2
    • 36749005582 scopus 로고    scopus 로고
    • A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration
    • Dec
    • J. Bioucas-Dias and M. Figueiredo, "A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration," IEEE Trans. Image Process., vol. 16, no, 12, pp. 2992-3004, Dec. 2007.
    • (2007) IEEE Trans. Image Process , vol.16 , Issue.12 , pp. 2992-3004
    • Bioucas-Dias, J.1    Figueiredo, M.2
  • 3
    • 0034345420 scopus 로고    scopus 로고
    • Nonmonotone spectral projected gradient methods on convex sets
    • E. Birgin, J. Martinez, and M. Raydan, "Nonmonotone spectral projected gradient methods on convex sets," SIAM J. Optim., vol. 10, no. 4, pp. 1196-1211, 2000.
    • (2000) SIAM J. Optim , vol.10 , Issue.4 , pp. 1196-1211
    • Birgin, E.1    Martinez, J.2    Raydan, M.3
  • 5
    • 36349014812 scopus 로고    scopus 로고
    • Space-time sparsity regularization for the magnetoencephalography inverse problem
    • Arlington, VA
    • A. Bolstad, B. Van Veen, and R. Nowak, "Space-time sparsity regularization for the magnetoencephalography inverse problem," in Proc. IEEE Int. Conf. Biomed. Imag., Arlington, VA, 2007, pp. 984-987.
    • (2007) Proc. IEEE Int. Conf. Biomed. Imag , pp. 984-987
    • Bolstad, A.1    Van Veen, B.2    Nowak, R.3
  • 6
    • 51449109308 scopus 로고    scopus 로고
    • An expectation-maximization algorithm for space-time sparsity regularization of the MEG inverse problem
    • Vancouver, BC, Canada
    • A. Bolstad, B. Van Veen, R. Nowak, and R. Wakai, "An expectation-maximization algorithm for space-time sparsity regularization of the MEG inverse problem," in Proc. Int. Conf. Biomagn., Vancouver, BC, Canada, 2006.
    • (2006) Proc. Int. Conf. Biomagn
    • Bolstad, A.1    Van Veen, B.2    Nowak, R.3    Wakai, R.4
  • 8
    • 39449086402 scopus 로고    scopus 로고
    • A sparsity-based method for the estimation of spectral lines from irregularly sampled data
    • Dec
    • S. Bourguignon, H. Carfantan, and J. Idier, "A sparsity-based method for the estimation of spectral lines from irregularly sampled data," IEEE J. Sel. Topics Signal Process., vol. 1, no. 4, pp. 575-585, Dec. 2007.
    • (2007) IEEE J. Sel. Topics Signal Process , vol.1 , Issue.4 , pp. 575-585
    • Bourguignon, S.1    Carfantan, H.2    Idier, J.3
  • 9
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate information
    • Aug
    • E. Candès, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate information," Commun. Pure Appl. Math., vol. 59, no. 8, pp. 1207-1233, Aug. 2005.
    • (2005) Commun. Pure Appl. Math , vol.59 , Issue.8 , pp. 1207-1233
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 10
    • 31744440684 scopus 로고    scopus 로고
    • Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
    • Feb
    • E. Candès, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, Feb. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.2 , pp. 489-509
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 11
    • 34548275795 scopus 로고    scopus 로고
    • The Dantzig selector: Statistical estimation when p is much larger than n
    • Dec
    • E. Candès and T. Tao, "The Dantzig selector: Statistical estimation when p is much larger than n," Ann. Stat., vol. 35, no. 6, pp. 2313-2351, Dec. 2007.
    • (2007) Ann. Stat , vol.35 , Issue.6 , pp. 2313-2351
    • Candès, E.1    Tao, T.2
  • 12
    • 1242352408 scopus 로고    scopus 로고
    • An algorithm for total variation minimization and applications
    • Jan.-Mar
    • A. Chambolle, "An algorithm for total variation minimization and applications," J. Math. Imag. Vision, vol. 20, no. 1-2, pp. 89-97, Jan.-Mar. 2004.
    • (2004) J. Math. Imag. Vision , vol.20 , Issue.1-2 , pp. 89-97
    • Chambolle, A.1
  • 13
    • 34249819922 scopus 로고    scopus 로고
    • Recent developments in total variation image restoration
    • Y. Chen, and O. Faugeras, Eds. New York: Springer-Verlag
    • T. Chan, S. Esedoglu, F. Park, and A. Yip, "Recent developments in total variation image restoration," in Mathematical Models of Computer Vision, N, Paragios, Y. Chen, and O. Faugeras, Eds. New York: Springer-Verlag, 2005.
    • (2005) Mathematical Models of Computer Vision, N, Paragios
    • Chan, T.1    Esedoglu, S.2    Park, F.3    Yip, A.4
  • 14
    • 34548678881 scopus 로고    scopus 로고
    • A variational formulation for frame-based inverse problems
    • Aug
    • C. Chaux, P. Combettes, J.-C. Pesquet, and V. Wajs, "A variational formulation for frame-based inverse problems," Inverse Probl., vol. 23, no. 4, pp. 1495-1518, Aug, 2007.
    • (2007) Inverse Probl , vol.23 , Issue.4 , pp. 1495-1518
    • Chaux, C.1    Combettes, P.2    Pesquet, J.-C.3    Wajs, V.4
  • 15
    • 0032131292 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit
    • S. Chen, D. Donoho, and M. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Sci. Comput., vol. 20, no. 1, pp. 33-61, 1998.
    • (1998) SIAM J. Sci. Comput , vol.20 , Issue.1 , pp. 33-61
    • Chen, S.1    Donoho, D.2    Saunders, M.3
  • 16
    • 0000364765 scopus 로고
    • Robust modelling of erratic data
    • J. Claerbout and F. Muir, "Robust modelling of erratic data," Geophysics, vol. 38, no. 5, pp. 826-844, 1973.
    • (1973) Geophysics , vol.38 , Issue.5 , pp. 826-844
    • Claerbout, J.1    Muir, F.2
  • 17
    • 30844438177 scopus 로고    scopus 로고
    • Signal recovery by proximal forward-backward splitting
    • P. Combettes and V. Wajs, "Signal recovery by proximal forward-backward splitting," SIAM J. Multiscale Model. Simul., vol. 4, no. 4, pp. 1168-1200, 2005.
    • (2005) SIAM J. Multiscale Model. Simul , vol.4 , Issue.4 , pp. 1168-1200
    • Combettes, P.1    Wajs, V.2
  • 18
    • 15544385032 scopus 로고    scopus 로고
    • Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming
    • Mar
    • Y.-H. Dai and R. Fletcher, "Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming," Numer. Math., vol. 100, no. 1, pp. 21-47, Mar. 2005.
    • (2005) Numer. Math , vol.100 , Issue.1 , pp. 21-47
    • Dai, Y.-H.1    Fletcher, R.2
  • 19
    • 33745923778 scopus 로고    scopus 로고
    • The cyclic Barzilai-Borwein method for unconstrained optimization
    • Mar
    • Y.-H. Dai, W. Hager, K. Schittkowski, and H. Zhang, "The cyclic Barzilai-Borwein method for unconstrained optimization," IMA J. Numer. Anal., vol. 26, no. 3, pp. 604-427, Mar. 2006.
    • (2006) IMA J. Numer. Anal , vol.26 , Issue.3 , pp. 604-427
    • Dai, Y.-H.1    Hager, W.2    Schittkowski, K.3    Zhang, H.4
  • 20
    • 33845482689 scopus 로고    scopus 로고
    • Image restoration with discrete constrained total variation; part I: Fast and exact optimization
    • Dec
    • J. Darbon and M. Sigelle, "Image restoration with discrete constrained total variation; part I: Fast and exact optimization," J. Math. Imag. Vision, vol. 26, no. 3, pp. 261-276, Dec. 2006.
    • (2006) J. Math. Imag. Vision , vol.26 , Issue.3 , pp. 261-276
    • Darbon, J.1    Sigelle, M.2
  • 21
    • 7044231546 scopus 로고    scopus 로고
    • An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
    • Nov
    • I. Daubechies, M. Defrise, and C. De Mol, "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint," Commun. Pure Appl. Math., vol. 57, pp. 1413-1457, Nov. 2004.
    • (2004) Commun. Pure Appl. Math , vol.57 , pp. 1413-1457
    • Daubechies, I.1    Defrise, M.2    De Mol, C.3
  • 22
    • 57349127864 scopus 로고    scopus 로고
    • Accelerated projected gradient method for linear inverse problems with sparsity constraints
    • Dec
    • I. Daubechies, M. Fornasier, and I. Loris, "Accelerated projected gradient method for linear inverse problems with sparsity constraints," J. Fourier Anal. Appl., vol. 14, no. 5-6, pp. 764-792, Dec. 2008.
    • (2008) J. Fourier Anal. Appl , vol.14 , Issue.5-6 , pp. 764-792
    • Daubechies, I.1    Fornasier, M.2    Loris, I.3
  • 23
    • 0031541839 scopus 로고    scopus 로고
    • Aadaptive greedy approximations
    • Mar
    • G. Davis, S. Mallat, and M. Avellaneda, "Aadaptive greedy approximations," Constr. Approx., vol. 13, no. 1, pp. 57-98, Mar. 1997.
    • (1997) Constr. Approx , vol.13 , Issue.1 , pp. 57-98
    • Davis, G.1    Mallat, S.2    Avellaneda, M.3
  • 24
    • 0002629270 scopus 로고
    • Maximum likelihood estimation from incomplete data via the EM algorithm
    • Jan
    • A. Dempster, N. Laird, and D. Rubin, "Maximum likelihood estimation from incomplete data via the EM algorithm," J. Roy. Stat. Soc. B. vol. 39, no. 1, pp. 1-38, Jan. 1977.
    • (1977) J. Roy. Stat. Soc. B , vol.39 , Issue.1 , pp. 1-38
    • Dempster, A.1    Laird, N.2    Rubin, D.3
  • 25
    • 0030192408 scopus 로고    scopus 로고
    • A model selection role for sinusoids in white Gaussian noise
    • Jul
    • P. Djurić, "A model selection role for sinusoids in white Gaussian noise," IEEE Trans. Signal Process., vol. 44, no. 7, pp. 1744-1751, Jul. 1996.
    • (1996) IEEE Trans. Signal Process , vol.44 , Issue.7 , pp. 1744-1751
    • Djurić, P.1
  • 26
    • 0029307534 scopus 로고
    • De-noising by soft thresholding
    • May
    • D. Donoho, "De-noising by soft thresholding," IEEE Trans. Inf. Theory, vol. 41, no. 3, pp. 613-627, May 1995.
    • (1995) IEEE Trans. Inf. Theory , vol.41 , Issue.3 , pp. 613-627
    • Donoho, D.1
  • 27
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • Apr
    • D. Donobo, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, Apr. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.4 , pp. 1289-1306
    • Donobo, D.1
  • 28
    • 33144483155 scopus 로고    scopus 로고
    • Stable recovery of sparse overcomplete representations in the presence of noise
    • Jan
    • D. Donoho, M. Elad, and V. Temlyakov, "Stable recovery of sparse overcomplete representations in the presence of noise," IEEE Trans. Inf. Theory, vol. 52, no. 1, pp. 6-18, Jan. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.1 , pp. 6-18
    • Donoho, D.1    Elad, M.2    Temlyakov, V.3
  • 30
    • 78651246703 scopus 로고    scopus 로고
    • Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit
    • submitted for publication
    • D. Donoho, Y. Tsaig, I. Drori, and J.-L. Starck, "Sparse solution of underdetermined linear equations by stagewise orthogonal matching pursuit," IEEE Trans. Inf. Theory, 2007, submitted for publication.
    • (2007) IEEE Trans. Inf. Theory
    • Donoho, D.1    Tsaig, Y.2    Drori, I.3    Starck, J.-L.4
  • 32
    • 33947361050 scopus 로고    scopus 로고
    • Why simple shrinkage is still relevant for redundant representations?
    • Dec
    • M. Elad, "Why simple shrinkage is still relevant for redundant representations?," IEEE Trans. Inf. Theory, vol. 52, no. 12, pp. 5559-5569, Dec. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.12 , pp. 5559-5569
    • Elad, M.1
  • 35
    • 0035442514 scopus 로고    scopus 로고
    • Wavelet-based image estimation: An empirical Bayes' approach using Jeffreys' noninformative prior
    • Sep
    • M. Figueiredo and R. Nowak, "Wavelet-based image estimation: An empirical Bayes' approach using Jeffreys' noninformative prior," IEEE Trans. Image Process., vol. 10, no. 9, pp. 1322-1331, Sep. 2001.
    • (2001) IEEE Trans. Image Process , vol.10 , Issue.9 , pp. 1322-1331
    • Figueiredo, M.1    Nowak, R.2
  • 36
    • 0142200827 scopus 로고    scopus 로고
    • An EM algorithm for wavelet-based image restoration
    • Aug
    • M. Figueiredo and R. Nowak, "An EM algorithm for wavelet-based image restoration," IEEE Trans. Image Process., vol. 12, no. 8, pp. 906-916, Aug. 2003.
    • (2003) IEEE Trans. Image Process , vol.12 , Issue.8 , pp. 906-916
    • Figueiredo, M.1    Nowak, R.2
  • 37
    • 36749072615 scopus 로고    scopus 로고
    • Majorization-minimization algorithms for wavelet-based image restoration
    • Dec
    • M. Figueiredo, J. Bioucas-Dias, and R. Nowak, "Majorization-minimization algorithms for wavelet-based image restoration," IEEE Trans. Image Process., vol. 16, no. 12, pp. 2980-2991, Dec. 2007.
    • (2007) IEEE Trans. Image Process , vol.16 , Issue.12 , pp. 2980-2991
    • Figueiredo, M.1    Bioucas-Dias, J.2    Nowak, R.3
  • 38
    • 78649843367 scopus 로고    scopus 로고
    • M. Figueiredo, J. Bioucas-Dias, J. Oliveira, :aNd R. Nowak, On total-variation denoising: A new majorization-minimization algorithm and an experimental comparison with wavelet denoising, in Proc. IEEE Int. Conf. Image Process. (ICIP), 2006.
    • M. Figueiredo, J. Bioucas-Dias, J. Oliveira, :aNd R. Nowak, "On total-variation denoising: A new majorization-minimization algorithm and an experimental comparison with wavelet denoising," in Proc. IEEE Int. Conf. Image Process. (ICIP), 2006.
  • 39
    • 39449126969 scopus 로고    scopus 로고
    • Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
    • Dec
    • M. Figueiredo, R. Nowak, and S. Wright, "Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems," IEEE J. Sel. Top. Signal Process., vol. 1, no. 4, pp. 586-598, Dec. 2007.
    • (2007) IEEE J. Sel. Top. Signal Process , vol.1 , Issue.4 , pp. 586-598
    • Figueiredo, M.1    Nowak, R.2    Wright, S.3
  • 42
    • 39449121598 scopus 로고    scopus 로고
    • Convergence of a sparse representations algorithm applicable to real or complex data
    • Dec
    • J. Fuchs, "Convergence of a sparse representations algorithm applicable to real or complex data," IEEE J. Sel. Topics Signal Process., vol. 1, no. 12, pp. 598-605, Dec. 2007.
    • (2007) IEEE J. Sel. Topics Signal Process , vol.1 , Issue.12 , pp. 598-605
    • Fuchs, J.1
  • 43
    • 0032282297 scopus 로고    scopus 로고
    • Wavelet shrinkage denoising using the non-negative garrote
    • H. Gao, "Wavelet shrinkage denoising using the non-negative garrote," J. Comput. Graph. Stat., vol. 7, no. 4, pp. 469-488, 1998.
    • (1998) J. Comput. Graph. Stat , vol.7 , Issue.4 , pp. 469-488
    • Gao, H.1
  • 44
    • 0031312521 scopus 로고    scopus 로고
    • Waveshrink with firm shrinkage
    • Oct
    • H. Gao and A. Bruce, "Waveshrink with firm shrinkage," Statistica Sinica, vol. 7, no. 4, pp. 855-874, Oct. 1997.
    • (1997) Statistica Sinica , vol.7 , Issue.4 , pp. 855-874
    • Gao, H.1    Bruce, A.2
  • 46
    • 0004236492 scopus 로고    scopus 로고
    • 3rd ed. Baltimore, MD: Johns Hopkins Univ. Press
    • G. Golub and C. Van Loan, Matrix Computations, 3rd ed. Baltimore, MD: Johns Hopkins Univ. Press, 1996.
    • (1996) Matrix Computations
    • Golub, G.1    Van Loan, C.2
  • 47
    • 0031102203 scopus 로고    scopus 로고
    • Sparse signal reconstruction from limited data using FOCUSS: A recursive weighted norm minimization algorithm
    • Mar
    • I. Gorodnitsky and B. Rao, "Sparse signal reconstruction from limited data using FOCUSS: A recursive weighted norm minimization algorithm" IEEE Trans. Signal Process., vol. 45, no. 3, pp. 600-616, Mar. 1997.
    • (1997) IEEE Trans. Signal Process , vol.45 , Issue.3 , pp. 600-616
    • Gorodnitsky, I.1    Rao, B.2
  • 48
    • 44449098059 scopus 로고    scopus 로고
    • A semismooth Newton method for Tikhonov functionals with sparsity constraints
    • R. Griesse and D. Lorenz, "A semismooth Newton method for Tikhonov functionals with sparsity constraints," Inverse Probl., vol. 24, no. 3, 2008.
    • (2008) Inverse Probl , vol.24 , Issue.3
    • Griesse, R.1    Lorenz, D.2
  • 49
    • 0022766519 scopus 로고
    • A nonmonotone line search technique for Newton's method
    • L. Grippo, F. Lampariello, and S. Lucidi, "A nonmonotone line search technique for Newton's method," SIAM J. Numer. Anal., vol. 23, no. 4, pp. 706-716, 1986.
    • (1986) SIAM J. Numer. Anal , vol.23 , Issue.4 , pp. 706-716
    • Grippo, L.1    Lampariello, F.2    Lucidi, S.3
  • 50
    • 0036853835 scopus 로고    scopus 로고
    • Nonmonotone globalization techniques for the Barzilai-Borwein method
    • Nov
    • L. Grippo and M. Sciandrone, "Nonmonotone globalization techniques for the Barzilai-Borwein method," Comput. Optim. Appl., vol. 23, no. 2, pp. 143-169, Nov. 2002.
    • (2002) Comput. Optim. Appl , vol.23 , Issue.2 , pp. 143-169
    • Grippo, L.1    Sciandrone, M.2
  • 52
    • 33748575920 scopus 로고    scopus 로고
    • Signal reconstruction from noisy random projections
    • Sep
    • J. Haupt and R. Nowak, "Signal reconstruction from noisy random projections," IEEE Trans. Inf. Theory, vol. 52, no. 9, pp. 4036-4048, Sep. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.9 , pp. 4036-4048
    • Haupt, J.1    Nowak, R.2
  • 54
    • 33746126624 scopus 로고    scopus 로고
    • Blockwise sparse regression
    • Apr
    • Y. Kim, J. Kim, and Y. Kim, "Blockwise sparse regression," Statistica Sinica, vol. 16, no. 2, pp. 375-390, Apr. 2006.
    • (2006) Statistica Sinica , vol.16 , Issue.2 , pp. 375-390
    • Kim, Y.1    Kim, J.2    Kim, Y.3
  • 55
    • 0019390023 scopus 로고
    • Reconstruction of a sparse spike train from a portion of its spectrum and application to high-resolution deconvolution
    • S. Levy and P. Fullagar, "Reconstruction of a sparse spike train from a portion of its spectrum and application to high-resolution deconvolution" Geophysics, vol. 46, no. 9, pp. 1235-1243, 1981.
    • (1981) Geophysics , vol.46 , Issue.9 , pp. 1235-1243
    • Levy, S.1    Fullagar, P.2
  • 57
    • 25444450079 scopus 로고    scopus 로고
    • Sparse signal reconstruction perspective for source localization with sensor arrays
    • Aug
    • D. Malioutov, M. Cetin, and A. Willsky, "Sparse signal reconstruction perspective for source localization with sensor arrays," IEEE Trans. Signal Process., vol. 53, no. 8, pp. 3010-3022, Aug. 2005.
    • (2005) IEEE Trans. Signal Process , vol.53 , Issue.8 , pp. 3010-3022
    • Malioutov, D.1    Cetin, M.2    Willsky, A.3
  • 58
    • 37849035696 scopus 로고    scopus 로고
    • The group LASSO for logistic regression
    • Jan
    • L. Meier, S. van de Geer, and P. Buhlmann, "The group LASSO for logistic regression," J. Roy. Stat. Soc. B, vol. 70, no. 1, pp. 53-71, Jan. 2008.
    • (2008) J. Roy. Stat. Soc. B , vol.70 , Issue.1 , pp. 53-71
    • Meier, L.1    van de Geer, S.2    Buhlmann, P.3
  • 60
    • 0032662774 scopus 로고    scopus 로고
    • Analysis of multiresolution image denoising schemes using generalized-Gaussian and complexity priors
    • Apr
    • P. Moulin and J. Liu, "Analysis of multiresolution image denoising schemes using generalized-Gaussian and complexity priors," IEEE Trans. Inf. Theory, vol. 45, no. 3, pp. 909-919, Apr. 1999.
    • (1999) IEEE Trans. Inf. Theory , vol.45 , Issue.3 , pp. 909-919
    • Moulin, P.1    Liu, J.2
  • 61
    • 57649169327 scopus 로고    scopus 로고
    • Gradient methods for minimizing composite objective function, Center for Operations Research and Econometrics (CORE), Catholic Univ. Louvain, Louvain-la-Neuve, Belgium
    • Y. Nesterov, "Gradient methods for minimizing composite objective function," Center for Operations Research and Econometrics (CORE), Catholic Univ. Louvain, Louvain-la-Neuve, Belgium, CORE Discussion Paper 2007/76, 2007.
    • (2007) CORE Discussion Paper , pp. 2007
    • Nesterov, Y.1
  • 63
    • 0034215549 scopus 로고    scopus 로고
    • A new approach to variable selection in least squares problems
    • M. Osborne, B. Presnell, and B. Turlach, "A new approach to variable selection in least squares problems," IMA J. Numer. Anal., vol. 20, no. 3, pp. 389-403, 2000.
    • (2000) IMA J. Numer. Anal , vol.20 , Issue.3 , pp. 389-403
    • Osborne, M.1    Presnell, B.2    Turlach, B.3
  • 64
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • S. Osher, L. Rudin, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Physica D, vol. 60, no. 1-4, pp, 259-268, 1992.
    • (1992) Physica D , vol.60 , Issue.1-4 , pp. 259-268
    • Osher, S.1    Rudin, L.2    Fatemi, E.3
  • 65
    • 0004267646 scopus 로고
    • Princeton, NJ: Princeton Univ. Press
    • R. T. Rockafellar, Convex Analysis. Princeton, NJ: Princeton Univ. Press, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 66
    • 0008988926 scopus 로고
    • Linear invesion of band-limited reflection histograms
    • F. Santosa and W. Symes, "Linear invesion of band-limited reflection histograms," SIAM J. Sci. Stat. Comput., vol. 7, no. 4, pp. 1307-1330, 1986.
    • (1986) SIAM J. Sci. Stat. Comput , vol.7 , Issue.4 , pp. 1307-1330
    • Santosa, F.1    Symes, W.2
  • 67
    • 67650173601 scopus 로고    scopus 로고
    • M. A. Saunders, PDCO: Primal-Dual Interior-Point Method for Convex Objectives. Stanford, CA: Systems Optimization Lab., Stanford Univ. Press, 2002.
    • M. A. Saunders, PDCO: Primal-Dual Interior-Point Method for Convex Objectives. Stanford, CA: Systems Optimization Lab., Stanford Univ. Press, 2002.
  • 68
    • 12444278992 scopus 로고    scopus 로고
    • Gradient projection methods for large quadratic programs and applications in training support vector machines
    • Apr
    • T. Serafini, G. Zanghirati, and L. Zanni, "Gradient projection methods for large quadratic programs and applications in training support vector machines," Optim. Meth. Softw., vol. 20, no. 2-3, pp. 353-378, Apr. 2005.
    • (2005) Optim. Meth. Softw , vol.20 , Issue.2-3 , pp. 353-378
    • Serafini, T.1    Zanghirati, G.2    Zanni, L.3
  • 70
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • R. Tibshirani, "Regression shrinkage and selection via the lasso," J. Roy. Stat. Soc. B, vol. 58, no. 1, pp. 267-288, 1996.
    • (1996) J. Roy. Stat. Soc. B , vol.58 , Issue.1 , pp. 267-288
    • Tibshirani, R.1
  • 71
    • 33645712308 scopus 로고    scopus 로고
    • Just relax: Convex programming methods for identifying sparse signals
    • Apr
    • J. Tropp, "Just relax: Convex programming methods for identifying sparse signals," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 1030-1051, Apr. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.51 , Issue.3 , pp. 1030-1051
    • Tropp, J.1
  • 72
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • Oct
    • J. Tropp, "Greed is good: Algorithmic results for sparse approximation," IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2231-2242, Oct. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.10 , pp. 2231-2242
    • Tropp, J.1
  • 73
    • 0035533631 scopus 로고    scopus 로고
    • Convergence of a block coordinate descent method for nondifferentiable minimization
    • Jun
    • P. Tseng,"Convergence of a block coordinate descent method for nondifferentiable minimization," J. Optim. Theory Appl., vol. 109, no. 3, pp. 475-494, Jun. 2001.
    • (2001) J. Optim. Theory Appl , vol.109 , Issue.3 , pp. 475-494
    • Tseng, P.1
  • 74
    • 23844431650 scopus 로고    scopus 로고
    • Simultaneous variable selection
    • Aug
    • B. Turlach, W. N. Venables, and S. J. Wright, "Simultaneous variable selection," Technometrics, vol. 47, no. 3, pp. 349-363, Aug. 2005.
    • (2005) Technometrics , vol.47 , Issue.3 , pp. 349-363
    • Turlach, B.1    Venables, W.N.2    Wright, S.J.3
  • 75
    • 41249087776 scopus 로고    scopus 로고
    • Dept. Comput. Sci, Univ. British Columbia, BC, Canada, Tech. Rep. TR-20077-19
    • E. van den Berg and M. P. Friedlander, "In pursuit of a root," Dept. Comput. Sci., Univ. British Columbia, BC, Canada, Tech. Rep. TR-20077-19, 2007.
    • (2007) In pursuit of a root
    • van den Berg, E.1    Friedlander, M.P.2
  • 77
  • 78
    • 33645035051 scopus 로고    scopus 로고
    • Model selection and estimation in regression with grouped variables
    • Feb
    • M. Yuan and Y. Lin, "Model selection and estimation in regression with grouped variables," J. Roy. Stat. Soc. B, vol. 68, no, 1, pp. 49-67, Feb. 2006.
    • (2006) J. Roy. Stat. Soc. B , vol.68 , Issue.1 , pp. 49-67
    • Yuan, M.1    Lin, Y.2
  • 80
    • 67650125797 scopus 로고    scopus 로고
    • Boosted LASSO
    • Univ. California, Berkeley
    • P. Zhao and B. Yu, "Boosted LASSO," Statistics Dept., Univ. California, Berkeley, 2004.
    • (2004) Statistics Dept
    • Zhao, P.1    Yu, B.2
  • 81
    • 46749116519 scopus 로고    scopus 로고
    • Stable recovery of sparse signals via regularized minimization
    • Jul
    • C. Zhu, "Stable recovery of sparse signals via regularized minimization" IEEE Trans. Inf. Theory, vol. 54, no. 7, pp. 3364-3367, Jul. 2008.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.7 , pp. 3364-3367
    • Zhu, C.1


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