메뉴 건너뛰기




Volumn 61, Issue 5, 2013, Pages 1210-1214

Constructing test instances for basis pursuit denoising

Author keywords

Basis Pursuit denoising; compressed sensing; optimization; optimization algorithms; signal processing algorithms; sparsity

Indexed keywords

BASIS PURSUIT DENOISING; OPTIMIZATION ALGORITHMS; SIGNAL PROCESSING ALGORITHMS; SPARSITY; TEST INSTANCES;

EID: 84873891272     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2012.2236322     Document Type: Article
Times cited : (30)

References (34)
  • 1
    • 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., vol. 31, no. 2, pp. 890-912, 2008.
    • (2008) SIAM J. Sci. Comput. , vol.31 , Issue.2 , pp. 890-912
    • Berg Den E.Van1    Friedlander, M.P.2
  • 2
    • 0032131292 scopus 로고    scopus 로고
    • Atomic decomposition by basis pursuit
    • S. S. Chen, D. L. Donoho, and M. A. 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.S.1    Donoho, D.L.2    Saunders, M.A.3
  • 3
    • 85194972808 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • R. Tibshirani, "Regression shrinkage and selection via the lasso," J. Roy. Statist. Soc. B, vol. 58, no. 1, pp. 267-288, 1996.
    • (1996) J. Roy. Statist. Soc. B , vol.58 , Issue.1 , pp. 267-288
    • Tibshirani, R.1
  • 4
    • 67650414322 scopus 로고    scopus 로고
    • On the performance of algorithms for the minimization of-penalized functionals
    • 035008
    • I. Loris, "On the performance of algorithms for the minimization of-penalized functionals," Inverse Problems, vol. 25, 2009, 035008, 16 pp.
    • (2009) Inverse Problems , vol.25 , pp. 16
    • Loris, I.1
  • 5
    • 77951546345 scopus 로고    scopus 로고
    • Theoretical and empirical results for recovery from multiple measurements
    • E. van den Berg and M. P. Friedlander, "Theoretical and empirical results for recovery from multiple measurements," IEEE Trans. Inf. Theory, vol. 56, no. 5, pp. 2516-2527, 2010.
    • (2010) IEEE Trans. Inf. Theory , vol.56 , Issue.5 , pp. 2516-2527
    • Berg Den E.Van1    Friedlander, M.P.2
  • 6
    • 53149111169 scopus 로고    scopus 로고
    • Reduce and boost: Recovering arbitrary sets of jointly sparse vectors
    • M. Mishali and Y. C. Eldar, "Reduce and boost: Recovering arbitrary sets of jointly sparse vectors," IEEE Trans. Signal Process., vol. 56, no. 10, pt. 1, pp. 4692-4702, 2008.
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.10 PART 1 , pp. 4692-4702
    • Mishali, M.1    Eldar, Y.C.2
  • 7
    • 78549288866 scopus 로고    scopus 로고
    • Guaranteed minimum rank solutions to linear matrix equations via nuclear norm minimization
    • B. Recht, M. Fazel, and P. A. Parrilo, "Guaranteed minimum rank solutions to linear matrix equations via nuclear norm minimization," SIAM Rev., vol. 52, no. 3, pp. 471-501, 2010.
    • (2010) SIAM Rev. , vol.52 , Issue.3 , pp. 471-501
    • Recht, B.1    Fazel, M.2    Parrilo, P.A.3
  • 9
    • 54749134210 scopus 로고    scopus 로고
    • Sparse regularization with penalty term
    • 13
    • M. Grasmair, M. Haltmeier, and O. Scherzer, "Sparse regularization with penalty term," Inverse Problems, vol. 24, no. 5, 2008, 055020, 13 pp.
    • (2008) Inverse Problems , vol.24 , Issue.5 , pp. 055020
    • Grasmair, M.1    Haltmeier, M.2    Scherzer, O.3
  • 10
    • 80051486803 scopus 로고    scopus 로고
    • Beyond convergence rates: Exact inversion with Tikhonov regularization with sparsity constraints
    • D. A. Lorenz, S. Schiffler, and D. Trede, "Beyond convergence rates: Exact inversion with Tikhonov regularization with sparsity constraints," Inverse Problems, vol. 27, p. 085009, 2011.
    • (2011) Inverse Problems , vol.27 , pp. 085009
    • Lorenz, D.A.1    Schiffler, S.2    Trede, D.3
  • 11
    • 78449233271 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for linear convergence of-regularization
    • M. Grasmair, O. Scherzer, and M. Haltmeier, "Necessary and sufficient conditions for linear convergence of-regularization," Commun. Pure Appl. Math., vol. 64, pp. 161-182, 2011.
    • (2011) Commun. Pure Appl. Math. , vol.64 , pp. 161-182
    • Grasmair, M.1    Scherzer, O.2    Haltmeier, M.3
  • 12
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • E. J. Candès and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4203-4215, 2005.
    • (2005) IEEE Trans. Inf. Theory , vol.51 , Issue.12 , pp. 4203-4215
    • Candès, E.J.1    Tao, T.2
  • 13
    • 84873905432 scopus 로고    scopus 로고
    • Solving basis pursuit: Subgradient algorithm, heuristic optimality check, and solver comparison
    • E-Print ID 2011-07-3100
    • D. A. Lorenz, M. E. Pfetsch, and A. M. Tillmann, "Solving basis pursuit: Subgradient algorithm, heuristic optimality check, and solver comparison," Optim. Online, 2011, E-Print ID 2011-07-3100.
    • (2011) Optim. Online
    • Lorenz, D.A.1    Pfetsch, M.E.2    Tillmann, A.M.3
  • 14
    • 39449126969 scopus 로고    scopus 로고
    • Gradient projection for sparse reconstruction: Applications to compressed sensing and other inverse problems
    • M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, "Gradient projection for sparse reconstruction: Applications to compressed sensing and other inverse problems," IEEE J. Sel. Topics Signal Process. vol. 4, pp. 586-597, 2007 [Online]. Available: http://www.ece.wisc.edu/%7Enowak/GPSR.pdf
    • (2007) IEEE J. Sel. Topics Signal Process. , vol.4 , pp. 586-597
    • Figueiredo, M.A.T.1    Nowak, R.D.2    Wright, S.J.3
  • 15
    • 67650178787 scopus 로고    scopus 로고
    • Sparse reconstruction by separable approximation
    • M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, "Sparse reconstruction by separable approximation," IEEE Trans. Signal Process., vol. 57, no. 7, pp. 2479-2493, 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.7 , pp. 2479-2493
    • Figueiredo, M.A.T.1    Nowak, R.D.2    Wright, S.J.3
  • 16
    • 79551550744 scopus 로고    scopus 로고
    • NESTA: A fast and accurate first-order method for sparse recovery
    • S. Becker, J. Bobin, and E. J. Candès, "NESTA: A fast and accurate first-order method for sparse recovery," SIAM J. Imag. Sci., vol. 4, no. 1, pp. 1-39, 2009.
    • (2009) SIAM J. Imag. Sci. , vol.4 , Issue.1 , pp. 1-39
    • Becker, S.1    Bobin, J.2    Candès, E.J.3
  • 17
    • 59749104367 scopus 로고    scopus 로고
    • From sparse solutions of systems of equations to sparse modeling of signals and images
    • A. M. Bruckstein, D. L. Donoho, and M. Elad, "From sparse solutions of systems of equations to sparse modeling of signals and images," SIAM Rev., vol. 51, no. 1, pp. 34-81, 2009.
    • (2009) SIAM Rev. , vol.51 , Issue.1 , pp. 34-81
    • Bruckstein, A.M.1    Donoho, D.L.2    Elad, M.3
  • 18
    • 33645712308 scopus 로고    scopus 로고
    • Just relax: Convex programming methods for identifying sparse signals in noise
    • Mar
    • J. A. Tropp, "Just relax: Convex programming methods for identifying sparse signals in noise," IEEE Trans. Inf. Theory, vol. 52, no. 3, pp. 1030-1051, Mar. 2006.
    • (2006) IEEE Trans. Inf. Theory , vol.52 , Issue.3 , pp. 1030-1051
    • Tropp, J.A.1
  • 19
    • 84873907588 scopus 로고    scopus 로고
    • private communication
    • S. R. Becker, private communication, 2011.
    • (2011)
    • Becker, S.R.1
  • 20
    • 84856004485 scopus 로고    scopus 로고
    • Templates for convex cone problems with applications to sparse signal recovery
    • S. R. Becker, E. J. Candès, and M. C. Grant, "Templates for convex cone problems with applications to sparse signal recovery," Math. Programm. Comput. vol. 3, no. 3, pp. 165-218, 2011 [Online]. Available: http://dx.doi.org/10.1007/s12532-011-0029-5
    • (2011) Math. Programm. Comput. , vol.3 , Issue.3 , pp. 165-218
    • Becker, S.R.1    Candès, E.J.2    Grant, M.C.3
  • 22
    • 69649095451 scopus 로고    scopus 로고
    • Fixed-point continuation for minimization: Methodology and convergence
    • E. T. Hale, W. Yin, and Y. Zhang, "Fixed-point continuation for minimization: Methodology and convergence," SIAM J. Optim., vol. 19, no. 3, pp. 1107-1130, 2008.
    • (2008) SIAM J. Optim. , vol.19 , Issue.3 , pp. 1107-1130
    • Hale, E.T.1    Yin, W.2    Zhang, Y.3
  • 23
    • 84977895355 scopus 로고    scopus 로고
    • Bregman iterative algorithms for minimization with applications to compressed sensing
    • W. Yin, S. J. Osher, D. Goldfarb, and J. Darbon, "Bregman iterative algorithms for minimization with applications to compressed sensing," SIAM J. Imag. Sci., vol. 1, no. 1, pp. 143-168, 2008.
    • (2008) SIAM J. Imag. Sci. , vol.1 , Issue.1 , pp. 143-168
    • Yin, W.1    Osher, S.J.2    Goldfarb, D.3    Darbon, J.4
  • 24
    • 85014561619 scopus 로고    scopus 로고
    • Fast iterative shrinkage-thresholding algorithm for linear inverse problems
    • A. Beck and M. Teboulle, "Fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imag. Sci., vol. 2, pp. 183-202, 2009.
    • (2009) SIAM J. Imag. Sci. , vol.2 , pp. 183-202
    • Beck, A.1    Teboulle, M.2
  • 25
    • 44449098059 scopus 로고    scopus 로고
    • A semismooth Newton method for Tikhonov functionals with sparsity constraints
    • 19
    • R. Griesse and D. A. Lorenz, "A semismooth Newton method for Tikhonov functionals with sparsity constraints," Inverse Problems, vol. 24, no. 3, 2008, 035007, 19 pp.
    • (2008) Inverse Problems , vol.24 , Issue.3 , pp. 035007
    • Griesse, R.1    Lorenz, D.A.2
  • 26
    • 79952307213 scopus 로고    scopus 로고
    • Alternating direction algorithms for O problems in compressive sensing
    • J. Yang and Y. Zhang, "Alternating direction algorithms for O problems in compressive sensing," SIAM J. Sci. Comput., vol. 33, no. 1, pp. 250-278, 2011.
    • (2011) SIAM J. Sci. Comput. , vol.33 , Issue.1 , pp. 250-278
    • Yang, J.1    Zhang, Y.2
  • 28
    • 55549141504 scopus 로고    scopus 로고
    • L1packv2: A Mathematica package for minimizing an P-penalized functional
    • I. Loris, "L1packv2: A Mathematica package for minimizing an P-penalized functional," Comput. Phys. Commun. vol. 179, pp. 895-902, 2008 [Online]. Available: http://arxiv.org/abs/0710.3728
    • (2008) Comput. Phys. Commun. , vol.179 , pp. 895-902
    • Loris, I.1
  • 29
    • 0030246542 scopus 로고    scopus 로고
    • On projection algorithms for solving convex feasibility problems
    • H. H. Bauschke and J. M. Borwein, "On projection algorithms for solving convex feasibility problems," SIAM Rev., vol. 38, no. 3, pp. 367-426, 1996.
    • (1996) SIAM Rev. , vol.38 , Issue.3 , pp. 367-426
    • Bauschke, H.H.1    Borwein, J.M.2
  • 30
    • 84968503398 scopus 로고
    • Proximity maps for convex sets
    • W. Cheney and A. A. Goldstein, "Proximity maps for convex sets," Proc. Amer. Math. Soc, vol. 10, pp. 448-450, 1959.
    • (1959) Proc. Amer. Math. Soc , vol.10 , pp. 448-450
    • Cheney, W.1    Goldstein, A.A.2
  • 32
  • 33
    • 0001971618 scopus 로고
    • An algorithm for quadratic programming
    • M. Frank and P. Wolfe, "An algorithm for quadratic programming," Nav. Res. Logist. Quart., vol. 3, pp. 95-110, 1956.
    • (1956) Nav. Res. Logist. Quart. , vol.3 , pp. 95-110
    • Frank, M.1    Wolfe, P.2
  • 34
    • 21144445984 scopus 로고    scopus 로고
    • A conditional gradient method with linear rate of convergence for solving convex linear systems
    • A. Beck and M. Teboulle, "A conditional gradient method with linear rate of convergence for solving convex linear systems, "Math. Methods Oper. Res., vol. 59, pp. 235-247, 2004.
    • (2004) Math. Methods Oper. Res. , vol.59 , pp. 235-247
    • Beck, A.1    Teboulle, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.