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Volumn 24, Issue 6, 2013, Pages 929-939

Sparse coding from a bayesian perspective

Author keywords

Bayesian; compressive sensing (CS); computer vision; maximum a posteriori (MAP); sparse coding

Indexed keywords

BAYESIAN; COMPRESSIVE SENSING; CONVERGENCE PROPERTIES; MAXIMUM A POSTERIORI; MAXIMUM A POSTERIORI ESTIMATION; RECONSTRUCTION ERROR; SPARSE CODING; STATE-OF-THE-ART METHODS;

EID: 84876133796     PISSN: 2162237X     EISSN: 21622388     Source Type: Journal    
DOI: 10.1109/TNNLS.2013.2245914     Document Type: Article
Times cited : (57)

References (39)
  • 1
    • 33144463127 scopus 로고    scopus 로고
    • Unsupervised analysis of polyphonic music by sparse coding
    • DOI 10.1109/TNN.2005.861031
    • S. Abdallah and M. Plumbley, "Unsupervised analysis of polyphonic music by sparse coding," IEEE Trans. Neural Netw., vol. 17, no. 1, pp. 179-196, Jan. 2006. (Pubitemid 43263950)
    • (2006) IEEE Transactions on Neural Networks , vol.17 , Issue.1 , pp. 179-196
    • Abdallah, S.A.1    Plumbley, M.D.2
  • 2
    • 56449124824 scopus 로고    scopus 로고
    • Simple method for highperformance digit recognition based on sparse coding
    • Nov
    • K. Labusch, E. Barth, and T. Martinetz, "Simple method for highperformance digit recognition based on sparse coding," IEEE Trans. Neural Netw., vol. 19, no. 11, pp. 1985-1989, Nov. 2008.
    • (2008) IEEE Trans. Neural Netw , vol.19 , Issue.11 , pp. 1985-1989
    • Labusch, K.1    Barth, E.2    Martinetz, T.3
  • 3
    • 57749190853 scopus 로고    scopus 로고
    • Equivalence probability and sparsity of two sparse solutions in sparse representation
    • Dec
    • Y. Li, A. Cichocki, S. Amari, S. Xie, and C. Guan, "Equivalence probability and sparsity of two sparse solutions in sparse representation," IEEE Trans. Neural Netw., vol. 19, no. 12, pp. 2009-2021, Dec. 2008.
    • (2008) IEEE Trans. Neural Netw , vol.19 , Issue.12 , pp. 2009-2021
    • Li, Y.1    Cichocki, A.2    Amari, S.3    Xie, S.4    Guan, C.5
  • 5
    • 39149089704 scopus 로고    scopus 로고
    • Sparse representation for color image restoration
    • Jan
    • J. Mairal, M. Elad, and G. Sapiro, "Sparse representation for color image restoration," IEEE Trans. Image Process., vol. 17, no. 1, pp. 53-69, Jan. 2008.
    • (2008) IEEE Trans. Image Process , vol.17 , Issue.1 , pp. 53-69
    • Mairal, J.1    Elad, M.2    Sapiro, G.3
  • 8
    • 0029938380 scopus 로고    scopus 로고
    • Emergence of simple-cell receptive field properties by learning a sparse code for natural images
    • DOI 10.1038/381607a0
    • B. Olshausen and D. Field, "Emergence of simple-cell receptive field properties by learning a sparse code for natural images," Nature, vol. 381, no. 6583, pp. 607-609, 1996. (Pubitemid 26177476)
    • (1996) Nature , vol.381 , Issue.6583 , pp. 607-609
    • Olshausen, B.A.1    Field, D.J.2
  • 10
    • 84863879353 scopus 로고    scopus 로고
    • Coordinate descent algorithms for LASSO penalized regression
    • T. Wu and K. Lange, "Coordinate descent algorithms for LASSO penalized regression," Ann. Appl. Stat., vol. 2, no. 1, pp. 224-244, 2008.
    • (2008) Ann. Appl. Stat , vol.2 , Issue.1 , pp. 224-244
    • Wu, T.1    Lange, K.2
  • 11
    • 78049312324 scopus 로고    scopus 로고
    • Image super-resolution via sparse representation
    • Nov.
    • J. Yang, J. Wright, T. Huang, and Y. Ma, "Image super-resolution via sparse representation," IEEE Trans. Image Process., vol. 19, no. 11, pp. 2861-2873, Nov. 2010.
    • (2010) IEEE Trans. Image Process , vol.19 , Issue.11 , pp. 2861-2873
    • Yang, J.1    Wright, J.2    Huang, T.3    Ma, Y.4
  • 13
    • 80053126093 scopus 로고    scopus 로고
    • Robust visual tracking and vehicle classification via sparse representation
    • Nov.
    • X. Mei and H. Ling, "Robust visual tracking and vehicle classification via sparse representation," IEEE Trans. Pattern Anal. Mach. Intell., vol. 33, no. 11, pp. 2259-2272, Nov. 2011.
    • (2011) IEEE Trans. Pattern Anal. Mach. Intell , vol.33 , Issue.11 , pp. 2259-2272
    • Mei, X.1    Ling, H.2
  • 14
    • 0030779611 scopus 로고    scopus 로고
    • Sparse coding with an overcomplete basis set: A strategy employed by V1?
    • DOI 10.1016/S0042-6989(97)00169-7, PII S0042698997001697
    • B. Olshausen and D. Field, "Sparse coding with an over-complete basis set: A strategy employed by VI?," Vis. Res., vol. 37, no. 23, pp. 3311-3325, 1997. (Pubitemid 27493805)
    • (1997) Vision Research , vol.37 , Issue.23 , pp. 3311-3325
    • Olshausen, B.A.1    Field, D.J.2
  • 15
    • 0036505590 scopus 로고    scopus 로고
    • Unsupervised clustering with spiking neurons by sparse temporal coding and multilayer RBF networks
    • DOI 10.1109/72.991428, PII S1045922702024062
    • S. Bohte, H. Poutre, and J. Kok, "Unsupervised clustering with spiking neurons by sparse temporal coding and multilayer rbf networks," IEEE Trans. Neural Netw., vol. 13, no. 2, pp. 426-435, Mar. 2002. (Pubitemid 34475043)
    • (2002) IEEE Transactions on Neural Networks , vol.13 , Issue.2 , pp. 426-435
    • Bohte, S.M.1    La Poutre, H.2    Kok, J.N.3
  • 16
    • 79955371363 scopus 로고    scopus 로고
    • Graph regularized sparse coding for image representation
    • May
    • M. Zheng, J. Bu, C. Chen, C. Wang, L. Zhang, G. Qiu, and D. Cai, "Graph regularized sparse coding for image representation," IEEE Trans. Image Process., vol. 20, no. 5, pp. 1327-1336, May 2011.
    • (2011) IEEE Trans. Image Process , vol.20 , Issue.5 , pp. 1327-1336
    • Zheng, M.1    Bu, J.2    Chen, C.3    Wang, C.4    Zhang, L.5    Qiu, G.6    Cai, D.7
  • 17
    • 33751379736 scopus 로고    scopus 로고
    • Image denoising via sparse and redundant representations over learned dictionaries
    • DOI 10.1109/TIP.2006.881969
    • M. Elad and M. Aharon, "Image denoising via sparse and redundant representations over learned dictionaries," IEEE Trans. Image Process., vol. 15, no. 12, pp. 3736-3745, Dec. 2006. (Pubitemid 44811686)
    • (2006) IEEE Transactions on Image Processing , vol.15 , Issue.12 , pp. 3736-3745
    • Elad, M.1    Aharon, M.2
  • 18
    • 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. Single 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
  • 20
    • 84871085657 scopus 로고    scopus 로고
    • L1/2 regularization: A thresholding representation theory and a fast solver
    • Jul.
    • Z. Xu, X. Chang, F. Xu, and H. Zhang, "L1/2 regularization: A thresholding representation theory and a fast solver," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 7, pp. 1013-1027, Jul. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst , vol.23 , Issue.7 , pp. 1013-1027
    • Xu, Z.1    Chang, X.2    Xu, F.3    Zhang, H.4
  • 21
    • 38049162221 scopus 로고    scopus 로고
    • Variable selection via a combination of the L0 and L1 penalties
    • Y. Liu and Y. Wu, "Variable selection via a combination of the L0 and L1 penalties," J. Comput. Graph. Stat., vol. 16, no. 4, pp. 782-798, 2007.
    • (2007) J. Comput. Graph. Stat , vol.16 , Issue.4 , pp. 782-798
    • Liu, Y.1    Wu, Y.2
  • 22
    • 0001287271 scopus 로고    scopus 로고
    • Regression shrinkage and selection via the LASSO
    • R. Tibshirani, "Regression shrinkage and selection via the LASSO," J. Royal Stat. Soc. Ser. B, vol. 58, no. 1, pp. 267-288, 1996.
    • (1996) J. Royal Stat. Soc. Ser. B , vol.58 , Issue.1 , pp. 267-288
    • Tibshirani, R.1
  • 23
    • 77649284492 scopus 로고    scopus 로고
    • Nearly unbiased variable selection under minimax concave penalty
    • C. H. Zhang, "Nearly unbiased variable selection under minimax concave penalty," Ann. Stat., vol. 38, no. 2 pp. 894-942, 2010.
    • (2010) Ann. Stat , vol.38 , Issue.2 , pp. 894-942
    • Zhang, C.H.1
  • 24
    • 0031526204 scopus 로고    scopus 로고
    • Approaches for Bayesian variable selection
    • E. George and R. Mcculloch, "Approaches for bayesian variable selection," Stat. Sinica, vol. 7, pp. 339-374, Jan. 1997. (Pubitemid 127084819)
    • (1997) Statistica Sinica , vol.7 , Issue.2 , pp. 339-374
    • George, E.I.1    McCulloch, R.E.2
  • 25
    • 84860345321 scopus 로고    scopus 로고
    • A majorization-minimization approach to variable selection using spike and slab priors
    • T. J. Yen, "A majorization-minimization approach to variable selection using spike and slab priors," Ann. Stat., vol. 39, no. 3, pp. 1748-1775, 2011.
    • (2011) Ann. Stat , vol.39 , Issue.3 , pp. 1748-1775
    • Yen, T.J.1
  • 26
    • 34548105186 scopus 로고    scopus 로고
    • Large-scale bayesian logistic regression for text categorization
    • DOI 10.1198/004017007000000245
    • A. Genkin, D. Lewis, and D. Madigan, "Large scale bayesian logistic regression for text categorization," Technometrics, vol. 49, no. 3, pp. 291-304, 2007. (Pubitemid 47292487)
    • (2007) Technometrics , vol.49 , Issue.3 , pp. 291-304
    • Genkin, A.1    Lewis, D.D.2    Madigan, D.3
  • 27
    • 84876106588 scopus 로고    scopus 로고
    • Unsupervised learning of categorical data with competing models
    • Nov.
    • R. Ilin, "Unsupervised learning of categorical data with competing models," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 11, pp. 1726-1737, Nov. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst , vol.23 , Issue.11 , pp. 1726-1737
    • Ilin, R.1
  • 28
    • 84876153078 scopus 로고    scopus 로고
    • Variational regularized 2-d nonnegative matrix factorization
    • May
    • B. Gao, W. Woo, and S. Dlay, "Variational regularized 2-d nonnegative matrix factorization," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 5, pp. 703-716, May 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst , vol.23 , Issue.5 , pp. 703-716
    • Gao, B.1    Woo, W.2    Dlay, S.3
  • 29
    • 44649181578 scopus 로고    scopus 로고
    • Bayesian inference and optimal design in the sparse linear model
    • M. Seeger, F. Steinke, and K. Tsuda, "Bayesian inference and optimal design in the sparse linear model," J. Mach. Learn. Res., vol. 9, pp. 759-813, 2008.
    • (2008) J. Mach. Learn. Res , vol.9 , pp. 759-813
    • Seeger, M.1    Steinke, F.2    Tsuda, K.3
  • 31
    • 49549105778 scopus 로고    scopus 로고
    • Tech. Rep
    • T. Park and G. Casella, "The bayesian LASSO," Tech. Rep., vol. 103, no. 482, pp. 681-686, 2008.
    • (2008) The Bayesian LASSO , vol.103 , Issue.482 , pp. 681-686
    • Park, T.1    Casella, G.2
  • 32
    • 0001224048 scopus 로고    scopus 로고
    • Sparse Bayesian Learning and the Relevance Vector Machine
    • DOI 10.1162/15324430152748236
    • M. Tipping, "Sparse bayesian learning and the relevance vector machine," J. Mach. Learn. Res., vol. 1, pp. 211-244, Jan. 2001. (Pubitemid 33687203)
    • (2001) Journal of Machine Learning Research , vol.1 , Issue.3 , pp. 211-244
    • Tipping, M.E.1
  • 33
    • 0034133184 scopus 로고    scopus 로고
    • Learning overcomplete representations
    • Feb
    • M. Lewicki and T. Sejnowski, "Learning overcomplete representations," Neural Comput. vol. 12, no. 2, pp. 337-365, Feb. 2000.
    • (2000) Neural Comput , vol.12 , Issue.2 , pp. 337-365
    • Lewicki, M.1    Sejnowski, T.2
  • 35
    • 80051734077 scopus 로고    scopus 로고
    • Robust and fast learning of sparse codes with stochastic gradient descent
    • Sep.
    • K. Labusch, E. Barth, and T. Martinetz, "Robust and fast learning of sparse codes with stochastic gradient descent," IEEE Trans. Sel. Topics Signal Process., vol. 5, no. 5, pp. 1048-1060, Sep. 2011.
    • (2011) IEEE Trans. Sel. Topics Signal Process , vol.5 , Issue.5 , pp. 1048-1060
    • Labusch, K.1    Barth, E.2    Martinetz, T.3
  • 36
    • 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
  • 38
    • 39749173057 scopus 로고    scopus 로고
    • Incremental learning for robust visual tracking
    • DOI 10.1007/s11263-007-0075-7, Special issue on Machine Learning for Vision, Guest Editors: William Freeman, Pietro Perona and Bernhard Scholkopf
    • D. Ross, J. Lim, R. Lin, and M. Yang, "Incremental learning for robust visual tracking," Int. J. Comput. Vis., vol. 77, nos. 1-3, pp. 125-141, May 2008. (Pubitemid 351294740)
    • (2008) International Journal of Computer Vision , vol.77 , Issue.1-3 , pp. 125-141
    • Ross, D.A.1    Lim, J.2    Lin, R.-S.3    Yang, M.-H.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.