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Volumn 62, Issue 15, 2014, Pages 3849-3862

Learning parametric dictionaries for signals on graphs

Author keywords

Dictionary learning; graph Laplacian; graph signal processing; sparse approximation

Indexed keywords

APPROXIMATION ALGORITHMS; DATA PROCESSING; LEARNING ALGORITHMS; MATRIX ALGEBRA; SIGNAL PROCESSING;

EID: 84904640248     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2014.2332441     Document Type: Article
Times cited : (124)

References (39)
  • 1
    • 85032751310 scopus 로고    scopus 로고
    • The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains
    • May
    • D. I. Shuman, S. K. Narang, P. Frossard, A. Ortega, and P. Vandergheynst, "The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains," IEEE Signal Process. Mag., vol. 30, no. 3, pp. 83-98, May 2013.
    • (2013) IEEE Signal Process. Mag. , vol.30 , Issue.3 , pp. 83-98
    • Shuman, D.I.1    Narang, S.K.2    Frossard, P.3    Ortega, A.4    Vandergheynst, P.5
  • 2
    • 77952714665 scopus 로고    scopus 로고
    • Dictionaries for sparse representation modeling
    • Apr.
    • R. Rubinstein, A. M. Bruckstein, and M. Elad, "Dictionaries for sparse representation modeling," Proc. IEEE, vol. 98, no. 6, pp. 1045-1057, Apr. 2010.
    • (2010) Proc. IEEE , vol.98 , Issue.6 , pp. 1045-1057
    • Rubinstein, R.1    Bruckstein, A.M.2    Elad, M.3
  • 3
    • 33750383209 scopus 로고    scopus 로고
    • K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation
    • DOI 10.1109/TSP.2006.881199
    • M. Aharon, M. Elad, and A. Bruckstein, "K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation," IEEE Trans. Signal Process., vol. 54, no. 11, pp. 4311-4322, Nov. 2006. (Pubitemid 44637761)
    • (2006) IEEE Transactions on Signal Processing , vol.54 , Issue.11 , pp. 4311-4322
    • Aharon, M.1    Elad, M.2    Bruckstein, A.3
  • 7
    • 70450233548 scopus 로고    scopus 로고
    • Parametric dictionary design for sparse coding
    • Dec.
    • M. Yaghoobi, L. Daudet, and M. E. Davies, "Parametric dictionary design for sparse coding," IEEE Trans. Signal Process., vol. 57, no. 12, pp. 4800-4810, Dec. 2009.
    • (2009) IEEE Trans. Signal Process. , vol.57 , Issue.12 , pp. 4800-4810
    • Yaghoobi, M.1    Daudet, L.2    Davies, M.E.3
  • 8
    • 78349258863 scopus 로고    scopus 로고
    • Double sparsity: Learning sparse dictionaries for sparse signal approximation
    • Mar.
    • R. Rubinstein, M. Zibulevsky, and M. Elad, "Double sparsity: Learning sparse dictionaries for sparse signal approximation," IEEE Trans. Signal Process., vol. 58, no. 3, pp. 1553-1564, Mar. 2010.
    • (2010) IEEE Trans. Signal Process. , vol.58 , Issue.3 , pp. 1553-1564
    • Rubinstein, R.1    Zibulevsky, M.2    Elad, M.3
  • 13
    • 84861117945 scopus 로고    scopus 로고
    • Perfect reconstruction two-channel wavelet filter banks for graph structured data
    • Jun.
    • S. K. Narang and A. Ortega, "Perfect reconstruction two-channel wavelet filter banks for graph structured data," IEEE Trans. Signal Process., vol. 60, no. 6, pp. 2786-2799, Jun. 2012.
    • (2012) IEEE Trans. Signal Process. , vol.60 , Issue.6 , pp. 2786-2799
    • Narang, S.K.1    Ortega, A.2
  • 14
    • 77956556554 scopus 로고    scopus 로고
    • Multiscale wavelets on trees, graphs and high dimensional data: Theory and applications to semi supervised learning
    • Haifa, Israel, Jun.
    • M. Gavish, B. Nadler, and R. R. Coifman, "Multiscale wavelets on trees, graphs and high dimensional data: Theory and applications to semi supervised learning," presented at the Int. Conf. Mach. Learn., Haifa, Israel, Jun. 2010.
    • (2010) Int. Conf. Mach. Learn.
    • Gavish, M.1    Nadler, B.2    Coifman, R.R.3
  • 15
    • 80051723858 scopus 로고    scopus 로고
    • Generalized tree-based wavelet transform
    • Sep.
    • I. Ram, M. Elad, and I. Cohen, "Generalized tree-based wavelet transform," IEEE Trans. Signal Process., vol. 59, no. 9, pp. 4199-4209, Sep. 2011.
    • (2011) IEEE Trans. Signal Process. , vol.59 , Issue.9 , pp. 4199-4209
    • Ram, I.1    Elad, M.2    Cohen, I.3
  • 16
    • 84859704792 scopus 로고    scopus 로고
    • Redundant wavelets on graphs and high dimensional data clouds
    • May
    • I. Ram, M. Elad, and I. Cohen, "Redundant wavelets on graphs and high dimensional data clouds," IEEE Signal Process. Lett., vol. 19, no. 5, pp. 291-294, May 2012.
    • (2012) IEEE Signal Process. Lett. , vol.19 , Issue.5 , pp. 291-294
    • Ram, I.1    Elad, M.2    Cohen, I.3
  • 25
    • 0003882879 scopus 로고    scopus 로고
    • Providence RI, USA: Amer Math. Soc.
    • F. Chung, Spectral Graph Theory. Providence, RI, USA: Amer, Math. Soc., 1997.
    • (1997) Spectral Graph Theory
    • Chung, F.1
  • 26
    • 5444237123 scopus 로고    scopus 로고
    • Greed is good: Algorithmic results for sparse approximation
    • Oct.
    • J. A. 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.A.1
  • 27
    • 59749104367 scopus 로고    scopus 로고
    • From sparse solutions of systems of equations to sparse modeling of signals and images
    • Feb.
    • M. Bruckstein, D. 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, Feb. 2009.
    • (2009) SIAM Rev. , vol.51 , Issue.1 , pp. 34-81
    • Bruckstein, M.1    Donoho, D.2    Elad, M.3
  • 30
    • 80051762104 scopus 로고    scopus 로고
    • Distributed optimization and statistical learning via the alternating direction method of multipliers
    • S. Boyd,N. Parikh, E. Chu, B. Peleato, and J. Eckstein, "Distributed optimization and statistical learning via the alternating direction method of multipliers," Found. Trends Mach. Learn., vol. 3, no. 1, pp. 1-122, 2011.
    • (2011) Found. Trends Mach. Learn. , vol.3 , Issue.1 , pp. 1-122
    • Boyd, S.1    Parikh, N.2    Chu, E.3    Peleato, B.4    Eckstein, J.5
  • 31
    • 0033295027 scopus 로고    scopus 로고
    • SDPT3-A MATLAB software package for semidefinite programming
    • K. C. Toh, M. J. Todd, and R. H. Tutuncu, "SDPT3-A MATLAB software package for semidefinite programming," in Optim. Methods Softw., 1999, vol. 11, pp. 545-581.
    • (1999) Optim. Methods Softw. , vol.11 , pp. 545-581
    • Toh, K.C.1    Todd, M.J.2    Tutuncu, R.H.3
  • 32
    • 20344396845 scopus 로고    scopus 로고
    • YALMIP: A toolbox for modeling and optimization in MATLAB,"
    • Taipei, Taiwan, Sep.
    • J. Lofberg, "YALMIP: A toolbox for modeling and optimization in MATLAB," presented at the CACSD Conf., Taipei, Taiwan, Sep. 2004.
    • (2004) CACSD Conf.
    • Lofberg, J.1
  • 34
    • 0036974649 scopus 로고    scopus 로고
    • Freeway performance measurement system (PeMS): An operational analysis tool
    • Washington, DC, USA, Jan.
    • T. Choe, A. Skabardonis, and P. P. Varaiya, "Freeway performance measurement system (PeMS): An operational analysis tool," presented at the Annu. Meet. of Transportat. Res. Board,Washington, DC, USA, Jan. 2002.
    • (2002) Annu. Meet. of Transportat. Res. Board
    • Choe, T.1    Skabardonis, A.2    Varaiya, P.P.3
  • 35
    • 78650189468 scopus 로고    scopus 로고
    • Impact of transient emotions on functional connectivity during subsequent resting state: A wavelet correlation approach
    • Feb.
    • H. Eryilmaz, D. Van De Ville, S. Schwartz, and P. Vuilleumier, "Impact of transient emotions on functional connectivity during subsequent resting state: A wavelet correlation approach," NeuroImage, vol. 54, no. 3, pp. 2481-2491, Feb. 2011.
    • (2011) Neuro Image , vol.54 , Issue.3 , pp. 2481-2491
    • Eryilmaz, H.1    Ville De D.Van2    Schwartz, S.3    Vuilleumier, P.4
  • 37
    • 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," Commun. Pure Appl. Math., vol. 57, no. 11, pp. 1413-1457, Nov. 2004. (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
  • 38
    • 85194972808 scopus 로고
    • Regression shrinkage and selection via the lasso
    • R. Tibshirani, "Regression shrinkage and selection via the lasso," J. R. Statist. Soc. Ser. B, vol. 58, pp. 267-288, 1994.
    • (1994) J. R. Statist. Soc. Ser. B , vol.58 , pp. 267-288
    • Tibshirani, R.1
  • 39


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.