메뉴 건너뛰기




Volumn 27, Issue 3, 2009, Pages 303-324

Sparse regression using mixed norms

Author keywords

FOCUSS; Mixed norms; Sparse regression; Structured regression; Thresholded Landweber iterations

Indexed keywords

FOCUSS; MIXED NORMS; SPARSE REGRESSION; STRUCTURED REGRESSION; THRESHOLDED LANDWEBER ITERATIONS;

EID: 70049113231     PISSN: 10635203     EISSN: 1096603X     Source Type: Journal    
DOI: 10.1016/j.acha.2009.05.006     Document Type: Article
Times cited : (246)

References (35)
  • 3
    • 0028526477 scopus 로고
    • Removing noise from music using local trigonometric bases and wavelet packets
    • Berger J., Coifman R., and Goldberg M. Removing noise from music using local trigonometric bases and wavelet packets. J. Audio Eng. Soc. 42 10 (1994) 808-818
    • (1994) J. Audio Eng. Soc. , vol.42 , Issue.10 , pp. 808-818
    • Berger, J.1    Coifman, R.2    Goldberg, M.3
  • 4
    • 0032022704 scopus 로고    scopus 로고
    • Nonlinear wavelet image processing: Variational problems, compression, and noise removal through wavelet shrinkage
    • Chambolle A., Lee D.R.A.N.-Y., and Lucier B.J. Nonlinear wavelet image processing: Variational problems, compression, and noise removal through wavelet shrinkage. IEEE Trans. Image Process. 7 (1998) 320-353
    • (1998) IEEE Trans. Image Process. , vol.7 , pp. 320-353
    • Chambolle, A.1    Lee, D.R.A.N.-Y.2    Lucier, B.J.3
  • 6
    • 0036649527 scopus 로고    scopus 로고
    • On the importance of combining wavelet-based nonlinear approximation with coding strategies
    • Cohen A., Daubechies I., Guleryuz O.G., and Orchard M.T. On the importance of combining wavelet-based nonlinear approximation with coding strategies. IEEE Trans. Inform. Theory 48 7 (2002) 1895-1921
    • (2002) IEEE Trans. Inform. Theory , vol.48 , Issue.7 , pp. 1895-1921
    • Cohen, A.1    Daubechies, I.2    Guleryuz, O.G.3    Orchard, M.T.4
  • 7
    • 30844438177 scopus 로고    scopus 로고
    • Signal recovery by proximal forward-backward splitting
    • Combettes P.L., and Wajs V.R. Signal recovery by proximal forward-backward splitting. Multiscale Model. Simul. 4 4 (2005) 1168-1200
    • (2005) Multiscale Model. Simul. , vol.4 , Issue.4 , pp. 1168-1200
    • Combettes, P.L.1    Wajs, V.R.2
  • 8
    • 23844477225 scopus 로고    scopus 로고
    • Sparse solutions to linear inverse problems with multiple measurement vectors
    • Cotter S., Rao B., Engan K., and Kreutz-Delgado K. Sparse solutions to linear inverse problems with multiple measurement vectors. IEEE Trans. Signal Process. 53 7 (2005) 2477-2488
    • (2005) IEEE Trans. Signal Process. , vol.53 , Issue.7 , pp. 2477-2488
    • Cotter, S.1    Rao, B.2    Engan, K.3    Kreutz-Delgado, K.4
  • 9
    • 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. An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Comm. Pure Appl. Math. 57 11 (2004) 1413-1457
    • (2004) Comm. Pure Appl. Math. , vol.57 , Issue.11 , pp. 1413-1457
    • Daubechies, I.1    Defrise, M.2    De Mol, C.3
  • 11
    • 0036836466 scopus 로고    scopus 로고
    • Hybrid representations for audiophonic signal encoding
    • special issue on Image and Video Coding Beyond Standards
    • Daudet L., and Torrésani B. Hybrid representations for audiophonic signal encoding. Signal Process. 82 11 (2002) 1595-1617 special issue on Image and Video Coding Beyond Standards
    • (2002) Signal Process. , vol.82 , Issue.11 , pp. 1595-1617
    • Daudet, L.1    Torrésani, B.2
  • 15
    • 36749019495 scopus 로고    scopus 로고
    • Recovery algorithm for vector-valued data with joint sparsity constraints
    • Fornasier M., and Rauhut H. Recovery algorithm for vector-valued data with joint sparsity constraints. SIAM J. Numer. Anal. 46 2 (2008) 577-613
    • (2008) SIAM J. Numer. Anal. , vol.46 , Issue.2 , pp. 577-613
    • Fornasier, M.1    Rauhut, H.2
  • 16
    • 0034343545 scopus 로고    scopus 로고
    • Nonlinear approximation with local Fourier bases
    • Gröchenig K., and Samarah S. Nonlinear approximation with local Fourier bases. Constr. Approx. 16 3 (2000) 317-331
    • (2000) Constr. Approx. , vol.16 , Issue.3 , pp. 317-331
    • Gröchenig, K.1    Samarah, S.2
  • 17
    • 48849116494 scopus 로고    scopus 로고
    • Random models for sparse signals expansion on unions of basis with application to audio signals
    • Kowalski M., and Torrésani B. Random models for sparse signals expansion on unions of basis with application to audio signals. IEEE Trans. Signal Process. 56 8 (2008) 3468-3481
    • (2008) IEEE Trans. Signal Process. , vol.56 , Issue.8 , pp. 3468-3481
    • Kowalski, M.1    Torrésani, B.2
  • 19
    • 70049116453 scopus 로고    scopus 로고
    • M. Kowalski, E. Vicent, R. Gribonval, Under-determined source separation via mixed-norm regularized minimization, in: Proceedings of the European Signal Processing Conference
    • M. Kowalski, E. Vicent, R. Gribonval, Under-determined source separation via mixed-norm regularized minimization, in: Proceedings of the European Signal Processing Conference
  • 20
    • 0017001951 scopus 로고
    • On the existence and nonexistence of Lagrange multipliers in Banach spaces
    • Kurcyusz S. On the existence and nonexistence of Lagrange multipliers in Banach spaces. J. Optim. Theory Appl. 20 1 (1976) 81-110
    • (1976) J. Optim. Theory Appl. , vol.20 , Issue.1 , pp. 81-110
    • Kurcyusz, S.1
  • 22
    • 0000276924 scopus 로고
    • Proximit et dualit dans un espace hilbertien
    • Moreau J.-J. Proximit et dualit dans un espace hilbertien. Bull. Soc. Math. France 93 (1965) 273-299
    • (1965) Bull. Soc. Math. France , vol.93 , pp. 273-299
    • Moreau, J.-J.1
  • 24
    • 0032712352 scopus 로고    scopus 로고
    • An affine scaling methodology for best basis selection
    • Rao B., and Kreutz-Delgado K. An affine scaling methodology for best basis selection. IEEE Trans. Signal Process. 47 1 (1999) 187-200
    • (1999) IEEE Trans. Signal Process. , vol.47 , Issue.1 , pp. 187-200
    • Rao, B.1    Kreutz-Delgado, K.2
  • 25
    • 0040036758 scopus 로고    scopus 로고
    • On restrictions and extensions of the Besov and Triebel-Lizorkin spaces with respect to Lipschitz domains
    • Rychkov V.S. On restrictions and extensions of the Besov and Triebel-Lizorkin spaces with respect to Lipschitz domains. J. Lond. Math. Soc. 60 1 (1999) 237-257
    • (1999) J. Lond. Math. Soc. , vol.60 , Issue.1 , pp. 237-257
    • Rychkov, V.S.1
  • 26
    • 84867963831 scopus 로고    scopus 로고
    • A Shur test for weighted mixed-norm spaces
    • Samarah S., Obeidat S., and Salman R. A Shur test for weighted mixed-norm spaces. Anal. Math. 31 (2005) 277-289
    • (2005) Anal. Math. , vol.31 , pp. 277-289
    • Samarah, S.1    Obeidat, S.2    Salman, R.3
  • 27
    • 33750728035 scopus 로고    scopus 로고
    • Local Fourier bases and modulation spaces
    • Samarah S., and Salman R. Local Fourier bases and modulation spaces. Turkish J. Math. 30 4 (2006) 447-462
    • (2006) Turkish J. Math. , vol.30 , Issue.4 , pp. 447-462
    • Samarah, S.1    Salman, R.2
  • 28
    • 27744574209 scopus 로고    scopus 로고
    • Image decomposition via the combination of sparse representation and a variational approach
    • Starck J.-L., Elad M., and Donoho D.L. Image decomposition via the combination of sparse representation and a variational approach. IEEE Trans. Image Process. 14 10 (2005) 1570-1582
    • (2005) IEEE Trans. Image Process. , vol.14 , Issue.10 , pp. 1570-1582
    • Starck, J.-L.1    Elad, M.2    Donoho, D.L.3
  • 29
    • 85162049401 scopus 로고    scopus 로고
    • Hierarchical penalization
    • Platt J., Koller D., Singer Y., and Roweis S. (Eds), MIT Press, Cambridge, MA
    • Szafranski M., Grandvalet Y., and Morizet-Mahoudeaux P. Hierarchical penalization. In: Platt J., Koller D., Singer Y., and Roweis S. (Eds). Adv. Neural Inf. Process. Syst. vol. 20 (2008), MIT Press, Cambridge, MA
    • (2008) Adv. Neural Inf. Process. Syst. , vol.20
    • Szafranski, M.1    Grandvalet, Y.2    Morizet-Mahoudeaux, P.3
  • 30
    • 33751004125 scopus 로고    scopus 로고
    • Multi-frames representations in linear inverse problems with mixed multi-constraints
    • Teschke G. Multi-frames representations in linear inverse problems with mixed multi-constraints. Appl. Comput. Harmon. Anal. 22 1 (2006) 43-60
    • (2006) Appl. Comput. Harmon. Anal. , vol.22 , Issue.1 , pp. 43-60
    • Teschke, G.1
  • 31
    • 34548228266 scopus 로고    scopus 로고
    • An iterative algorithm for nonlinear inverse problems with joint sparsity constraints in vector valued regimes and an application to color image inpainting
    • Teschke G., and Ramlau R. An iterative algorithm for nonlinear inverse problems with joint sparsity constraints in vector valued regimes and an application to color image inpainting. Inverse Problems 23 (2007) 1851-1870
    • (2007) Inverse Problems , vol.23 , pp. 1851-1870
    • Teschke, G.1    Ramlau, R.2
  • 32
    • 85194972808 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the lasso
    • Tibshirani R. Regression shrinkage and selection via the lasso. J. Roy. Statist. Soc. Ser. B 58 1 (1996) 267-288
    • (1996) J. Roy. Statist. Soc. Ser. B , vol.58 , Issue.1 , pp. 267-288
    • Tibshirani, R.1
  • 33
    • 33645035051 scopus 로고    scopus 로고
    • Model selection and estimation in regression with grouped variables
    • Yuan M., and Lin Y. Model selection and estimation in regression with grouped variables. J. Roy. Statist. Soc. Ser. B 68 1 (2006) 49-67
    • (2006) J. Roy. Statist. Soc. Ser. B , vol.68 , Issue.1 , pp. 49-67
    • Yuan, M.1    Lin, Y.2
  • 34
    • 70049096464 scopus 로고    scopus 로고
    • The composite absolute penalties family for grouped and hierarchical variable selection
    • in press
    • P. Zhao, G. Rocha, B. Yu, The composite absolute penalties family for grouped and hierarchical variable selection, Ann. Statist., in press
    • Ann. Statist
    • Zhao, P.1    Rocha, G.2    Yu, B.3
  • 35
    • 16244401458 scopus 로고    scopus 로고
    • Regularization and variable selection via the elastic net
    • Zou H., and Hastie T. Regularization and variable selection via the elastic net. J. Roy. Statist. Soc. Ser. B 67 2 (2005) 301-320
    • (2005) J. Roy. Statist. Soc. Ser. B , vol.67 , Issue.2 , pp. 301-320
    • Zou, H.1    Hastie, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.