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Volumn 24, Issue 8, 2013, Pages 1188-1199

Dictionary learning-based subspace structure identification in spectral clustering

Author keywords

Dictionary learning (DL); high dimensional data; nonnegative data; proximal optimization; sparsity; spectral clustering (SC); subspace structure

Indexed keywords

DICTIONARY LEARNING; HIGH DIMENSIONAL DATA; NON NEGATIVES; SPARSITY; SPECTRAL CLUSTERING;

EID: 84880916591     PISSN: 2162237X     EISSN: 21622388     Source Type: Journal    
DOI: 10.1109/TNNLS.2013.2253123     Document Type: Article
Times cited : (25)

References (52)
  • 1
    • 67149084291 scopus 로고    scopus 로고
    • Clustering high-dimensional data: A survey on subspace clustering, pattern-based clustering and correlation clustering
    • Mar
    • H. Kriegel, P. Kroger, and A. Zimek, "Clustering high-dimensional data: A survey on subspace clustering, pattern-based clustering and correlation clustering," ACM Trans. Knowl. Discovery Data, vol. 3, no. 1, pp. 1-58, Mar. 2009.
    • (2009) ACM Trans. Knowl. Discovery Data , vol.3 , Issue.1 , pp. 1-58
    • Kriegel, H.1    Kroger, P.2    Zimek, A.3
  • 2
    • 34548583274 scopus 로고    scopus 로고
    • A tutorial on spectral clustering
    • Dec
    • U. Von Luxburg, "A tutorial on spectral clustering," J. Stat. Comput., vol. 17, no. 4, pp. 395-416, Dec. 2007.
    • (2007) J. Stat. Comput. , vol.17 , Issue.4 , pp. 395-416
    • Von Luxburg, U.1
  • 3
    • 85032760331 scopus 로고    scopus 로고
    • A tutorial on subspace clustering
    • Mar
    • R. Vidal, "A tutorial on subspace clustering," IEEE Signal Process. Mag., vol. 28, no. 2, pp. 52-68, Mar. 2011.
    • (2011) IEEE Signal Process. Mag. , vol.28 , Issue.2 , pp. 52-68
    • Vidal, R.1
  • 4
    • 84862271729 scopus 로고    scopus 로고
    • Dimensionality reduction for spectral clustering
    • D. Niu, J. Dy, and M. Jordan, "Dimensionality reduction for spectral clustering," in Proc. Artif. Intell. Stat., 2011, pp. 552-560.
    • (2011) Proc. Artif. Intell. Stat. , pp. 552-560
    • Niu, D.1    Dy, J.2    Jordan, M.3
  • 5
    • 84876117777 scopus 로고    scopus 로고
    • Efficient sparse modeling with automatic feature grouping
    • Sep
    • L. Zhong and J. Kwok, "Efficient sparse modeling with automatic feature grouping," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 9, pp. 1436-1447, Sep. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.9 , pp. 1436-1447
    • Zhong, L.1    Kwok, J.2
  • 6
    • 84876709455 scopus 로고    scopus 로고
    • Feature extraction with deep neural networks by a generalized discriminant analysis
    • Apr
    • A. Stuhlsatz, J. Lippel, and T. Zielke, "Feature extraction with deep neural networks by a generalized discriminant analysis," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 4, pp. 596-608, Apr. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.4 , pp. 596-608
    • Stuhlsatz, A.1    Lippel, J.2    Zielke, T.3
  • 7
    • 84876946114 scopus 로고    scopus 로고
    • Data-driven cluster reinforcement and visualization in sparsely-matched self-organizing maps
    • Apr
    • N. Manukyan, M. Eppstein, and D. Rizzo, "Data-driven cluster reinforcement and visualization in sparsely-matched self-organizing maps," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 5, pp. 846-852, Apr. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.5 , pp. 846-852
    • Manukyan, N.1    Eppstein, M.2    Rizzo, D.3
  • 8
    • 0034704222 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by locally linear embedding
    • DOI 10.1126/science.290.5500.2323
    • S. Roweis and L. Saul, "Nonlinear dimensionality reduction by locally linear embedding," Science, vol. 290, no. 5500, pp. 2323-2326, Dec. 2000. (Pubitemid 32041578)
    • (2000) Science , vol.290 , Issue.5500 , pp. 2323-2326
    • Roweis, S.T.1    Saul, L.K.2
  • 9
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimensionality reduction
    • DOI 10.1126/science.290.5500.2319
    • J. Tenenbaum, V. Silva, and J. Langford, "A global geometric framework for nonlinear dimensionality reduction," Science, vol. 290, no. 5500, pp. 2319-2323, Dec. 2000. (Pubitemid 32041577)
    • (2000) Science , vol.290 , Issue.5500 , pp. 2319-2323
    • Tenenbaum, J.B.1    De Silva, V.2    Langford, J.C.3
  • 11
    • 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
  • 12
    • 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, "The k-SVD: An algorithm for designing of overcomplete dictionaries for sparse representations," 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
  • 15
    • 84863042818 scopus 로고    scopus 로고
    • Latent low-rank representation for subspace segmentation and feature extraction
    • Nov.
    • G. Liu and S. Yan, "Latent low-rank representation for subspace segmentation and feature extraction," in Proc. IEEE Int. Conf. Comput. Vis., Nov. 2011, pp. 1615-1622.
    • (2011) Proc. IEEE Int. Conf. Comput. Vis. , pp. 1615-1622
    • Liu, G.1    Yan, S.2
  • 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
  • 20
    • 77952714665 scopus 로고    scopus 로고
    • Dictionaries for sparse representation modeling
    • Jun
    • R. Rubinstein, A. Bruckstein, and M. Elad, "Dictionaries for sparse representation modeling," IEEE Proc., vol. 98, no. 6, pp. 1045-1057, Jun. 2010.
    • (2010) IEEE Proc. , vol.98 , Issue.6 , pp. 1045-1057
    • Rubinstein, R.1    Bruckstein, A.2    Elad, M.3
  • 21
    • 84863011935 scopus 로고    scopus 로고
    • Fisher discrimination dictionary learning for sparse representation
    • Nov.
    • M. Yang, L. Zhang, X. Feng, and D. Zhang, "Fisher discrimination dictionary learning for sparse representation," in Proc. IEEE Int. Conf. Comput. Vis., Nov. 2011, pp. 543-550.
    • (2011) Proc. IEEE Int. Conf. Comput. Vis. , pp. 543-550
    • Yang, M.1    Zhang, L.2    Feng, X.3    Zhang, D.4
  • 23
    • 85162350693 scopus 로고    scopus 로고
    • Linearized alternating direction method with adaptive penalty for low-rank representation
    • Sep.
    • Z. Liu, R. Liu, and Z. Su, "Linearized alternating direction method with adaptive penalty for low-rank representation," in Proc. NIPS, Sep. 2011, pp. 1-10.
    • (2011) Proc. NIPS , pp. 1-10
    • Liu, Z.1    Liu, R.2    Su, Z.3
  • 24
    • 4043166218 scopus 로고    scopus 로고
    • Sparse coding of sensory inputs
    • DOI 10.1016/j.conb.2004.07.007, PII S0959438804001035
    • B. Olshausen and D. Field, "Sparse coding of sensory inputs," Current Opinion Neurobiol., vol. 14, no. 4, pp. 481-487, Aug. 2004. (Pubitemid 39078497)
    • (2004) Current Opinion in Neurobiology , vol.14 , Issue.4 , pp. 481-487
    • Olshausen, B.A.1    Field, D.J.2
  • 26
    • 34547844077 scopus 로고    scopus 로고
    • Sparse non-negative matrix factorizations via alternating non-negativity-constrained least squares for microarray data analysis
    • DOI 10.1093/bioinformatics/btm134
    • H. Kim and H. Park, "Sparse nonnegative matrix factorization via alternating nonnegativity constrained least squares for microarray data analysis," Bioinformatics, vol. 23, no. 12, pp. 1495-1502, May 2007. (Pubitemid 47244474)
    • (2007) Bioinformatics , vol.23 , Issue.12 , pp. 1495-1502
    • Kim, H.1    Park, H.2
  • 27
    • 79551687415 scopus 로고    scopus 로고
    • Graph-preserving sparse nonnegative matrix factorization with application to facial expression recognition
    • Feb
    • R. Zhi, M. Flierl, Q. Ruan, and W. Kleijn, "Graph-preserving sparse nonnegative matrix factorization with application to facial expression recognition," IEEE Trans. Syst. Man, Cybern. Part B, Cybern., vol. 41, no. 1, pp. 38-52, Feb. 2011.
    • (2011) IEEE Trans. Syst. Man, Cybern. Part B, Cybern. , vol.41 , Issue.1 , pp. 38-52
    • Zhi, R.1    Flierl, M.2    Ruan, Q.3    Kleijn, W.4
  • 28
    • 0033592606 scopus 로고    scopus 로고
    • Learning the parts of objects by nonnegative matrix factorization
    • Oct
    • D. Lee and H. Seung, "Learning the parts of objects by nonnegative matrix factorization," Nature, vol. 401, pp. 788-791, Oct. 1999.
    • (1999) Nature , vol.401 , pp. 788-791
    • Lee, D.1    Seung, H.2
  • 29
    • 33749255098 scopus 로고    scopus 로고
    • On the equivalence of nonnegative matrix factorization and spectral clustering
    • Apr.
    • C. Ding, X. He, and H. Simon, "On the equivalence of nonnegative matrix factorization and spectral clustering," in Proc. SIAM Data Meening Conf., Apr. 2005, pp. 606-610.
    • (2005) Proc. SIAM Data Meening Conf. , pp. 606-610
    • Ding, C.1    He, X.2    Simon, H.3
  • 30
    • 33646528853 scopus 로고    scopus 로고
    • Exploiting discriminant information in nonnegative matrix factorization with application to frontal face verification
    • May
    • S. Zafeiriou, A. Tefas, I. Buciu, and I. Pitas, "Exploiting discriminant information in nonnegative matrix factorization with application to frontal face verification," IEEE Trans. Neural Netw., vol. 17, no. 3, pp. 683-695, May 2006.
    • (2006) IEEE Trans. Neural Netw. , vol.17 , Issue.3 , pp. 683-695
    • Zafeiriou, S.1    Tefas, A.2    Buciu, I.3    Pitas, I.4
  • 31
    • 83855163513 scopus 로고    scopus 로고
    • Unified development of multiplicative algorithms for linear and quadratic nonnegative matrix factorization
    • Dec
    • Z. Yang and E. Oja, "Unified development of multiplicative algorithms for linear and quadratic nonnegative matrix factorization," IEEE Trans. Neural Netw., vol. 22, no. 12, pp. 1878-1891, Dec. 2011.
    • (2011) IEEE Trans. Neural Netw. , vol.22 , Issue.12 , pp. 1878-1891
    • Yang, Z.1    Oja, E.2
  • 32
    • 76749107542 scopus 로고    scopus 로고
    • Online learning for matrix factorization and sparse coding
    • Sep
    • J. Mairal, F. Bach, J. Ponce, and G. Sapiro, "Online learning for matrix factorization and sparse coding," J. Mach. Learn. Res., vol. 11, pp. 19-60, Sep. 2011.
    • (2011) J. Mach. Learn. Res. , vol.11 , pp. 19-60
    • Mairal, J.1    Bach, F.2    Ponce, J.3    Sapiro, G.4
  • 33
    • 83855161608 scopus 로고    scopus 로고
    • Symmetric nonnegative matrix factorization: Algorithms and applications to probabilistic clustering
    • Dec
    • Z. He, S. Xie, R. Zdunek, G. Zhou, and A. Cichocki, "Symmetric nonnegative matrix factorization: Algorithms and applications to probabilistic clustering," IEEE Trans. Neural Netw., vol. 22, no. 12, pp. 2117-2131, Dec. 2011.
    • (2011) IEEE Trans. Neural Netw. , vol.22 , Issue.12 , pp. 2117-2131
    • He, Z.1    Xie, S.2    Zdunek, R.3    Zhou, G.4    Cichocki, A.5
  • 35
    • 84865442402 scopus 로고    scopus 로고
    • Online nonnegative matrix factorization with robust stochastic approaximation
    • Jul
    • N. Guan, D. Tao, Z. Luo, and B. Yuan, "Online nonnegative matrix factorization with robust stochastic approaximation," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 7, pp. 1087-1099, Jul. 2012.
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.7 , pp. 1087-1099
    • Guan, N.1    Tao, D.2    Luo, Z.3    Yuan, B.4
  • 37
    • 36348966695 scopus 로고    scopus 로고
    • On the convergence of multiplicative update algorithms for nonnegative matrix factorization
    • DOI 10.1109/TNN.2007.895831
    • C. Lin, "On the convergence of multiplicative update algorithms for nonnegative matrix factorization," IEEE Trans. Neural Netw., vol. 18, no. 6, pp. 1589-1596, Nov. 2007. (Pubitemid 350148414)
    • (2007) IEEE Transactions on Neural Networks , vol.18 , Issue.6 , pp. 1589-1596
    • Lin, C.-J.1
  • 38
    • 35548969471 scopus 로고    scopus 로고
    • Projected gradient methods for nonnegative matrix factorization
    • Oct
    • C. Lin, "Projected gradient methods for nonnegative matrix factorization," Neural Comput., vol. 19, no. 10, pp. 2756-2779, Oct. 2007.
    • (2007) Neural Comput. , vol.19 , Issue.10 , pp. 2756-2779
    • Lin, C.1
  • 39
    • 71149103464 scopus 로고    scopus 로고
    • An accelerated gradient method for trace norm minimization
    • Jun.
    • S. Ji and J. Ye, "An accelerated gradient method for trace norm minimization," in Proc. 26th Int. Conf. Mach. Learn., Jun. 2009, pp. 1-8.
    • (2009) Proc. 26th Int. Conf. Mach. Learn. , pp. 1-8
    • Ji, S.1    Ye, J.2
  • 40
    • 0033904057 scopus 로고    scopus 로고
    • On the convergence of the block nonlinear Gauss-Seidel method under convex constraints
    • DOI 10.1016/S0167-6377(99)00074-7
    • L. Grippo and M. Sciandrone, "On the convergence of the block nonlinear Gauss-Seidel method under convex constraints," Oper. Res. Lett., vol. 26, no. 3, pp. 127-136, Apr. 2000. (Pubitemid 30564332)
    • (2000) Operations Research Letters , vol.26 , Issue.3 , pp. 127-136
    • Grippo, L.1    Sciandrone, M.2
  • 41
    • 84884476031 scopus 로고    scopus 로고
    • A geometric analysis of subspace clustering with outilers
    • Dec
    • M. Soltanolkotabi and E. Candes, "A geometric analysis of subspace clustering with outilers," Ann. Stat., vol. 40, no. 6, pp. 1?40, Dec. 2011.
    • (2011) Ann. Stat. , vol.40 , Issue.6 , pp. 1-40
    • Soltanolkotabi, M.1    Candes, E.2
  • 42
    • 0041965980 scopus 로고    scopus 로고
    • Cluster ensembles-A knowledge reuse framework for combining multiple partitions
    • Nov
    • A. Strehl and J. Ghosh, "Cluster ensembles-A knowledge reuse framework for combining multiple partitions," J. Mach. Learn. Res., vol. 3, pp. 583-617, Nov. 2002.
    • (2002) J. Mach. Learn. Res. , vol.3 , pp. 583-617
    • Strehl, A.1    Ghosh, J.2
  • 43
    • 3543085722 scopus 로고    scopus 로고
    • Empirical and theoretical comparisons of selected criterion functions for document clustering
    • Jun
    • Y. Zhao and G. Karypis, "Empirical and theoretical comparisons of selected criterion functions for document clustering," Mach. Learn., vol. 55, no. 3, pp. 311-331, Jun. 2004.
    • (2004) Mach. Learn. , vol.55 , Issue.3 , pp. 311-331
    • Zhao, Y.1    Karypis, G.2
  • 44
    • 62249199807 scopus 로고    scopus 로고
    • Supervised and traditional term weighting methods for automatic text categorization
    • Apr
    • M. Lan, C. Tan, J. Su, and Y. Lu, "Supervised and traditional term weighting methods for automatic text categorization," IEEE Trans. Pattern Anal. Mach. Intell., vol. 31, no. 4, pp. 721-735, Apr. 2009.
    • (2009) IEEE Trans. Pattern Anal. Mach. Intell. , vol.31 , Issue.4 , pp. 721-735
    • Lan, M.1    Tan, C.2    Su, J.3    Lu, Y.4
  • 46
    • 0033569406 scopus 로고    scopus 로고
    • Molecular classification of cancer: Class discovery and class prediction by gene expression monitoring
    • Oct
    • T. Golub, "Molecular classification of cancer: Class discovery and class prediction by gene expression monitoring," Science, vol. 286, no. 5439, pp. 531-537, Oct. 1999.
    • (1999) Science , vol.286 , Issue.5439 , pp. 531-537
    • Golub, T.1
  • 49
    • 50649103674 scopus 로고    scopus 로고
    • What, where and who? Classifying event by scene and object recognition
    • Oct.
    • L. Li and L. Fei-Fei, "What, where and who? Classifying event by scene and object recognition," in Proc. IEEE Int. Conf. Comput. Vis., Oct. 2007, pp. 1-8.
    • (2007) Proc. IEEE Int. Conf. Comput. Vis. , pp. 1-8
    • Li, L.1    Fei-Fei, L.2
  • 50
    • 39749186006 scopus 로고    scopus 로고
    • LabelMe: A database and web-based tool for image annotation
    • May
    • B. Russell, A. Torralba, K. Murphy, and W. Freeman, "LabelMe: A database and web-based tool for image annotation," Int. J. Comput. Vis., vol. 77. nos. 1-3, pp. 157-173, May 2008.
    • (2008) Int. J. Comput. Vis. , vol.77 , Issue.1-3 , pp. 157-173
    • Russell, B.1    Torralba, A.2    Murphy, K.3    Freeman, W.4
  • 51
    • 18144420071 scopus 로고    scopus 로고
    • Acquiring linear subspaces for face recognition under variable lighting
    • DOI 10.1109/TPAMI.2005.92
    • K. Lee, J. Ho, and D. Kriegman, "Acquiring linear subspaces for face recognition under variable lighting," IEEE Trans. IEEE Trans. Pattern Anal. Mach. Intell., vol. 27, no. 5, pp. 684-698, May 2005. (Pubitemid 40608402)
    • (2005) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.27 , Issue.5 , pp. 684-698
    • Lee, K.-C.1    Ho, J.2    Kriegman, D.J.3
  • 52
    • 79959533573 scopus 로고    scopus 로고
    • Nonnegative matrix factorization with earth mover distance metric for image analysis
    • Aug
    • R. Sandler and M. Lindenbaum, "Nonnegative matrix factorization with earth mover?s distance metric for image analysis," IEEE Trans. Pattren Anal. Mach. Intell., vol. 33, no. 8, pp. 1590-1602, Aug. 2011.
    • (2011) IEEE Trans. Pattren Anal. Mach. Intell. , vol.33 , Issue.8 , pp. 1590-1602
    • Sandler, R.1    Lindenbaum, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.