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Volumn 47, Issue 4, 2017, Pages 1053-1066

Constructing the L2-Graph for Robust Subspace Learning and Subspace Clustering

Author keywords

Error removal; Feature extraction; Robustness; Spectral clustering; Spectral embedding

Indexed keywords

CLASSIFICATION (OF INFORMATION); ERRORS; GRAPH THEORY; GRAPHIC METHODS; IMAGE SEGMENTATION; LEARNING ALGORITHMS; LEAST SQUARES APPROXIMATIONS;

EID: 84960969128     PISSN: 21682267     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCYB.2016.2536752     Document Type: Article
Times cited : (238)

References (55)
  • 1
    • 0034704222 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by locally linear embedding
    • S. T. Roweis and L. K. Saul, "Nonlinear dimensionality reduction by locally linear embedding, " Science, vol. 290, no. 5500, pp. 2323-2326, 2000.
    • (2000) Science , vol.290 , Issue.5500 , pp. 2323-2326
    • Roweis, S.T.1    Saul, L.K.2
  • 2
    • 33947194180 scopus 로고    scopus 로고
    • Graph embedding and extensions: A general framework for dimensionality reduction
    • Jan.
    • S. C. Yan, et al., "Graph embedding and extensions: A general framework for dimensionality reduction, " IEEE Trans. Pattern. Anal. Mach. Intell., vol. 29, no. 1, pp. 40-51, Jan. 2007.
    • (2007) IEEE Trans. Pattern. Anal. Mach. Intell. , vol.29 , Issue.1 , pp. 40-51
    • Yan, S.C.1
  • 3
    • 84910597067 scopus 로고    scopus 로고
    • Learning deep and wide: A spectral method for learning deep networks
    • Dec.
    • L. Shao, D. Wu, X. Li, "Learning deep and wide: A spectral method for learning deep networks, " IEEE Trans. Neural Netw. Learn. Syst., vol. 25, no. 12, pp. 2303-2308, Dec. 2014.
    • (2014) IEEE Trans. Neural Netw. Learn. Syst. , vol.25 , Issue.12 , pp. 2303-2308
    • Shao, L.1    Wu, D.2    Li, X.3
  • 4
    • 85027920186 scopus 로고    scopus 로고
    • Boosting for multi-graph classification
    • Mar.
    • J. Wu, S. Pan, X. Zhu, Z. Cai, "Boosting for multi-graph classification, " IEEE Trans. Cybern., vol. 45, no. 3, pp. 416-429, Mar. 2015.
    • (2015) IEEE Trans. Cybern. , vol.45 , Issue.3 , pp. 416-429
    • Wu, J.1    Pan, S.2    Zhu, X.3    Cai, Z.4
  • 5
    • 84911380088 scopus 로고    scopus 로고
    • Transitive distance clustering with k-means duality
    • Columbus, OH, USA, Jun.
    • Z. Yu, et al., "Transitive distance clustering with k-means duality, " in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., Columbus, OH, USA, Jun. 2014, pp. 987-994.
    • (2014) Proc. IEEE Conf. Comput. Vis. Pattern Recognit. , pp. 987-994
    • Yu, Z.1
  • 6
    • 84911368077 scopus 로고    scopus 로고
    • Unsupervised spectral dual assignment clustering of human actions in context
    • Columbus, OH, USA, Jun.
    • S. Jones and L. Shao, "Unsupervised spectral dual assignment clustering of human actions in context, " in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., Columbus, OH, USA, Jun. 2014, pp. 604-611.
    • (2014) Proc. IEEE Conf. Comput. Vis. Pattern Recognit. , pp. 604-611
    • Jones, S.1    Shao, L.2
  • 7
    • 84949815508 scopus 로고    scopus 로고
    • Generalized transitive distance with minimum spanning random forest
    • Jul.
    • Z. Yu, et al., "Generalized transitive distance with minimum spanning random forest, " in Proc. Int. Joint Conf. Artif. Intell., Buenos Aires, Argentina, Jul. 2015, pp. 2205-2211.
    • (2015) Proc. Int. Joint Conf. Artif. Intell., Buenos Aires, Argentina , pp. 2205-2211
    • Yu, Z.1
  • 8
    • 84943635365 scopus 로고    scopus 로고
    • Dual-clustering-based hyperspectral band selection by contextual analysis
    • Mar.
    • Y. Yuan, J. Lin, Q. Wang, "Dual-clustering-based hyperspectral band selection by contextual analysis, " IEEE Trans. Geosci. Remote Sens., vol. 54, no. 3, pp. 1431-1445, Mar. 2016.
    • (2016) IEEE Trans. Geosci. Remote Sens. , vol.54 , Issue.3 , pp. 1431-1445
    • Yuan, Y.1    Lin, J.2    Wang, Q.3
  • 9
    • 84884541998 scopus 로고    scopus 로고
    • Sparse subspace clustering: Algorithm, theory, applications
    • Nov.
    • E. Elhamifar and R. Vidal, "Sparse subspace clustering: Algorithm, theory, applications, " IEEE Trans. Pattern. Anal. Mach. Intell., vol. 35, no. 11, pp. 2765-2781, Nov. 2013.
    • (2013) IEEE Trans. Pattern. Anal. Mach. Intell. , vol.35 , Issue.11 , pp. 2765-2781
    • Elhamifar, E.1    Vidal, R.2
  • 10
    • 69049112203 scopus 로고    scopus 로고
    • Sparsity preserving projections with applications to face recognition
    • L. S. Qiao, S. C. Chen, X. Y. Tan, "Sparsity preserving projections with applications to face recognition, " Pattern Recognit., vol. 43, no. 1, pp. 331-341, 2010.
    • (2010) Pattern Recognit. , vol.43 , Issue.1 , pp. 331-341
    • Qiao, L.S.1    Chen, S.C.2    Tan, X.Y.3
  • 12
    • 84870197517 scopus 로고    scopus 로고
    • Robust recovery of subspace structures by low-rank representation
    • Jan.
    • G. Liu, et al., "Robust recovery of subspace structures by low-rank representation, " IEEE Trans. Pattern. Anal. Mach. Intell., vol. 35, no. 1, pp. 171-184, Jan. 2013.
    • (2013) IEEE Trans. Pattern. Anal. Mach. Intell. , vol.35 , Issue.1 , pp. 171-184
    • Liu, G.1
  • 13
    • 0032154138 scopus 로고    scopus 로고
    • A multibody factorization method for independently moving objects
    • J. P. Costeira and T. Kanade, "A multibody factorization method for independently moving objects, " Int. J. Comput. Vis., vol. 29, no. 3, pp. 159-179, 1998.
    • (1998) Int. J. Comput. Vis. , vol.29 , Issue.3 , pp. 159-179
    • Costeira, J.P.1    Kanade, T.2
  • 15
    • 0032760051 scopus 로고    scopus 로고
    • A linear assignment clustering algorithm based on the least similar cluster representatives
    • Jan.
    • J. Wang, "A linear assignment clustering algorithm based on the least similar cluster representatives, " IEEE Trans. Syst., Man, Cybern. A, Syst., Humans, vol. 29, no. 1, pp. 100-104, Jan. 1999.
    • (1999) IEEE Trans. Syst., Man, Cybern. A, Syst., Humans , vol.29 , Issue.1 , pp. 100-104
    • Wang, J.1
  • 16
    • 30144438432 scopus 로고    scopus 로고
    • Generalized principal component analysis (GPCA)
    • Dec.
    • R. Vidal, Y. Ma, S. Sastry, "Generalized principal component analysis (GPCA), " IEEE Trans. Pattern Anal. Mach. Intell., vol. 27, no. 12, pp. 1945-1959, Dec. 2005.
    • (2005) IEEE Trans. Pattern Anal. Mach. Intell. , vol.27 , Issue.12 , pp. 1945-1959
    • Vidal, R.1    Ma, Y.2    Sastry, S.3
  • 17
    • 33745812742 scopus 로고    scopus 로고
    • A general framework for motion segmentation: Independent, articulated, rigid, non-rigid, degenerate and nondegenerate
    • May
    • J. Yan and M. Pollefeys, "A general framework for motion segmentation: Independent, articulated, rigid, non-rigid, degenerate and nondegenerate, " in Proc. Eur. Conf. Comput. Vis., Graz, Austria, May 2006, pp. 94-106.
    • (2006) Proc. Eur. Conf. Comput. Vis., Graz, Austria , pp. 94-106
    • Yan, J.1    Pollefeys, M.2
  • 18
    • 58149494138 scopus 로고    scopus 로고
    • Spectral curvature clustering (SCC)
    • G. L. Chen and G. Lerman, "Spectral curvature clustering (SCC), " Int. J. Comput. Vis., vol. 81, no. 3, pp. 317-330, 2009.
    • (2009) Int. J. Comput. Vis. , vol.81 , Issue.3 , pp. 317-330
    • Chen, G.L.1    Lerman, G.2
  • 19
    • 77956034602 scopus 로고    scopus 로고
    • Motion segmentation in the presence of outlying, incomplete, or corrupted trajectories
    • Oct.
    • S. Rao, R. Tron, R. Vidal, Y. Ma, "Motion segmentation in the presence of outlying, incomplete, or corrupted trajectories, " IEEE Trans. Pattern Anal. Mach. Intell., vol. 32, no. 10, pp. 1832-1845, Oct. 2010.
    • (2010) IEEE Trans. Pattern Anal. Mach. Intell. , vol.32 , Issue.10 , pp. 1832-1845
    • Rao, S.1    Tron, R.2    Vidal, R.3    Ma, Y.4
  • 21
    • 84924787022 scopus 로고    scopus 로고
    • A local structural descriptor for image matching via normalized graph Laplacian embedding
    • Feb.
    • J. Tang, L. Shao, X. Li, K. Lu, "A local structural descriptor for image matching via normalized graph Laplacian embedding, " IEEE Trans. Cybern., vol. 46, no. 2, pp. 410-420, Feb. 2016.
    • (2016) IEEE Trans. Cybern. , vol.46 , Issue.2 , pp. 410-420
    • Tang, J.1    Shao, L.2    Li, X.3    Lu, K.4
  • 22
    • 85032760331 scopus 로고    scopus 로고
    • Subspace clustering
    • Mar.
    • R. Vidal, "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
  • 24
    • 84863042818 scopus 로고    scopus 로고
    • Latent low-rank representation for subspace segmentation and feature extraction
    • Nov.
    • G. C. Liu and S. C. Yan, "Latent low-rank representation for subspace segmentation and feature extraction, " in Proc. IEEE Conf. Comput. Vis., Barcelona, Spain, Nov. 2011, pp. 1615-1622.
    • (2011) Proc. IEEE Conf. Comput. Vis., Barcelona, Spain , pp. 1615-1622
    • Liu, G.C.1    Yan, S.C.2
  • 27
    • 84897476987 scopus 로고    scopus 로고
    • Noisy sparse subspace clustering
    • Atlanta, GA, USA, Jun.
    • Y. Wang and H. Xu, "Noisy sparse subspace clustering, " in Proc. Int. Conf. Mach. Learn., vol. 28. Atlanta, GA, USA, Jun. 2013, pp. 89-97.
    • (2013) Proc. Int. Conf. Mach. Learn. , vol.28 , pp. 89-97
    • Wang, Y.1    Xu, H.2
  • 28
    • 84904666899 scopus 로고    scopus 로고
    • Robust subspace segmentation via low-rank representation
    • Aug.
    • J. Chen and J. Yang, "Robust subspace segmentation via low-rank representation, " IEEE Trans. Cybern., vol. 44, no. 8, pp. 1432-1445, Aug. 2014.
    • (2014) IEEE Trans. Cybern. , vol.44 , Issue.8 , pp. 1432-1445
    • Chen, J.1    Yang, J.2
  • 29
    • 84911919422 scopus 로고    scopus 로고
    • Reweighted low-rank matrix recovery and its application in image restoration
    • Dec.
    • Y. Peng, J. Suo, Q. Dai, W. Xu, "Reweighted low-rank matrix recovery and its application in image restoration, " IEEE Trans. Cybern., vol. 44, no. 12, pp. 2418-2430, Dec. 2014.
    • (2014) IEEE Trans. Cybern. , vol.44 , Issue.12 , pp. 2418-2430
    • Peng, Y.1    Suo, J.2    Dai, Q.3    Xu, W.4
  • 30
    • 84906352140 scopus 로고    scopus 로고
    • Weighted block-sparse low rank representation for face clustering in videos
    • Sep.
    • S. Xiao, M. Tan, D. Xu, "Weighted block-sparse low rank representation for face clustering in videos, " in Proc. Eur. Conf. Comput. Vis., Zürich, Switzerland, Sep. 2014, pp. 123-138.
    • (2014) Proc. Eur. Conf. Comput. Vis., Zürich, Switzerland , pp. 123-138
    • Xiao, S.1    Tan, M.2    Xu, D.3
  • 31
    • 84959240945 scopus 로고    scopus 로고
    • Membership representation for detecting block-diagonal structure in low-rank or sparse subspace clustering
    • Boston, MA, USA, Jun.
    • M. Lee, J. Lee, H. Lee, N. Kwak, "Membership representation for detecting block-diagonal structure in low-rank or sparse subspace clustering, " in Proc. IEEE Conf. Comput. Vis. Pattern Recognit., Boston, MA, USA, Jun. 2015, pp. 1648-1656.
    • (2015) Proc. IEEE Conf. Comput. Vis. Pattern Recognit. , pp. 1648-1656
    • Lee, M.1    Lee, J.2    Lee, H.3    Kwak, N.4
  • 32
    • 84916890138 scopus 로고    scopus 로고
    • Reconstruction-based metric learning for unconstrained face verification
    • Jan.
    • J. Lu, G. Wang, W. Deng, K. Jia, "Reconstruction-based metric learning for unconstrained face verification, " IEEE Trans. Inf. Forensics Security, vol. 10, no. 1, pp. 79-89, Jan. 2015.
    • (2015) IEEE Trans. Inf. Forensics Security , vol.10 , Issue.1 , pp. 79-89
    • Lu, J.1    Wang, G.2    Deng, W.3    Jia, K.4
  • 33
    • 84899013108 scopus 로고    scopus 로고
    • On spectral clustering: Analysis and an algorithm
    • Vancouver, BC, Canada Dec.
    • A. Y. Ng, M. I. Jordan, Y. Weiss, "On spectral clustering: Analysis and an algorithm, " in Proc. Adv. Neural Inf. Process. Syst., vol. 14. Vancouver, BC, Canada, Dec. 2002, pp. 849-856.
    • (2002) Proc. Adv. Neural Inf. Process. Syst. , vol.14 , pp. 849-856
    • Ng, A.Y.1    Jordan, M.I.2    Weiss, Y.3
  • 34
  • 37
    • 34548583274 scopus 로고    scopus 로고
    • A tutorial on spectral clustering
    • U. V. Luxburg, "A tutorial on spectral clustering, " Stat. Comput., vol. 17, no. 4, pp. 395-416, 2007.
    • (2007) Stat. Comput. , vol.17 , Issue.4 , pp. 395-416
    • Luxburg, U.V.1
  • 39
    • 84942484786 scopus 로고
    • Ridge regression: Biased estimation for nonorthogonal problems
    • A. E. Hoerl and R. W. Kennard, "Ridge regression: Biased estimation for nonorthogonal problems, " Technometrics, vol. 12, no. 1, pp. 55-67, 1970.
    • (1970) Technometrics , vol.12 , Issue.1 , pp. 55-67
    • Hoerl, A.E.1    Kennard, R.W.2
  • 40
    • 84863011302 scopus 로고    scopus 로고
    • Sparse representation or collaborative representation: Which helps face recognition?
    • Nov.
    • L. Zhang, M. Yang, X. Feng, "Sparse representation or collaborative representation: Which helps face recognition?" in Proc. IEEE Conf. Comput. Vis., Barcelona, Spain, Nov. 2011, pp. 471-478.
    • (2011) Proc. IEEE Conf. Comput. Vis., Barcelona, Spain , pp. 471-478
    • Zhang, L.1    Yang, M.2    Feng, X.3
  • 41
    • 0035363672 scopus 로고    scopus 로고
    • From few to many: Illumination cone models for face recognition under variable lighting and pose
    • Jun.
    • A. S. Georghiades, P. N. Belhumeur, D. J. Kriegman, "From few to many: Illumination cone models for face recognition under variable lighting and pose, " IEEE Trans. Pattern. Anal. Mach. Intell., vol. 23, no. 6, pp. 643-660, Jun. 2001.
    • (2001) IEEE Trans. Pattern. Anal. Mach. Intell. , vol.23 , Issue.6 , pp. 643-660
    • Georghiades, A.S.1    Belhumeur, P.N.2    Kriegman, D.J.3
  • 42
    • 3543131272 scopus 로고    scopus 로고
    • Geodesic entropic graphs for dimension and entropy estimation in manifold learning
    • Aug.
    • J. A. Costa and A. O. Hero, "Geodesic entropic graphs for dimension and entropy estimation in manifold learning, " IEEE Trans. Signal Process., vol. 52, no. 8, pp. 2210-2221, Aug. 2004.
    • (2004) IEEE Trans. Signal Process. , vol.52 , Issue.8 , pp. 2210-2221
    • Costa, J.A.1    Hero, A.O.2
  • 43
    • 85170282443 scopus 로고    scopus 로고
    • A density-based algorithm for discovering clusters in large spatial databases with noise
    • Portland, OR, USA
    • M. Ester, H.-P. Kriegel, J. Sander, X. Xu, "A density-based algorithm for discovering clusters in large spatial databases with noise, " in Proc. Int. Conf. Knowl. Disc. Data Mining, vol. 1996. Portland, OR, USA, 1996, pp. 226-231.
    • (1996) Proc. Int. Conf. Knowl. Disc. Data Mining 1996 , pp. 226-231
    • Ester, M.1    Kriegel, H.-P.2    Sander, J.3    Xu, X.4
  • 44
    • 0026065565 scopus 로고
    • Eigenfaces for recognition
    • M. Turk and A. Pentland, "Eigenfaces for recognition, " J. Cogn. Neurosci., vol. 3, no. 1, pp. 71-86, 1991.
    • (1991) J. Cogn. Neurosci. , vol.3 , Issue.1 , pp. 71-86
    • Turk, M.1    Pentland, A.2
  • 45
    • 0034215549 scopus 로고    scopus 로고
    • A new approach to variable selection in least squares problems, "
    • SIAM
    • M. R. Osborne, B. Presnell, B. A. Turlach, "A new approach to variable selection in least squares problems, " SIAM J. Numer. Anal., vol. 20, no. 3, pp. 389-403, 2000.
    • (2000) J. Numer. Anal. , vol.20 , Issue.3 , pp. 389-403
    • Osborne, M.R.1    Presnell, B.2    Turlach, B.A.3
  • 47
    • 0004171986 scopus 로고    scopus 로고
    • Centre de Visió per Computador, Universitat Autoónoma de Barcelona, Barcelona, Spain, Tech. Rep. 24
    • A. Martínez and R. Benavente, "The AR face database, " Centre de Visió per Computador, Universitat Autoónoma de Barcelona, Barcelona, Spain, Tech. Rep. 24, 1998.
    • (1998) The AR Face Database
    • Martínez, A.1    Benavente, R.2
  • 49
    • 84900809610 scopus 로고    scopus 로고
    • Learning localityconstrained collaborative representation for robust face recognition
    • X. Peng, L. Zhang, Z. Yi, K. K. Tan, "Learning localityconstrained collaborative representation for robust face recognition, " Pattern Recognit., vol. 47, no. 9, pp. 2794-2806, 2014.
    • (2014) Pattern Recognit. , vol.47 , Issue.9 , pp. 2794-2806
    • Peng, X.1    Zhang, L.2    Yi, Z.3    Tan, K.K.4
  • 50
    • 84867854316 scopus 로고    scopus 로고
    • Robust and efficient subspace segmentation via least squares regression
    • Oct.
    • C.-Y. Lu, et al., "Robust and efficient subspace segmentation via least squares regression, " in Proc. Eur. Conf. Comput. Vis., Florence, Italy, Oct. 2012, pp. 347-360.
    • (2012) Proc. Eur. Conf. Comput. Vis., Florence, Italy , pp. 347-360
    • Lu, C.-Y.1
  • 51
    • 84890434201 scopus 로고    scopus 로고
    • Understanding and enhancement of internal clustering validation measures
    • Jun.
    • Y. Liu, et al., "Understanding and enhancement of internal clustering validation measures, " IEEE Trans. Cybern., vol. 43, no. 3, pp. 982-994, Jun. 2013.
    • (2013) IEEE Trans. Cybern. , vol.43 , Issue.3 , pp. 982-994
    • Liu, Y.1
  • 52
    • 84932198134 scopus 로고    scopus 로고
    • Clustering validation measures
    • C. C. Aggarwal and C. K. Reddy, Eds. Boca Raton, FL, USA: CRC Press
    • H. Xiong and Z. Li, "Clustering validation measures, " in Data Clustering: Algorithms and Applications, C. C. Aggarwal and C. K. Reddy, Eds. Boca Raton, FL, USA: CRC Press, 2014.
    • (2014) Data Clustering: Algorithms and Applications
    • Xiong, H.1    Li, Z.2
  • 53
    • 30344483178 scopus 로고    scopus 로고
    • Document clustering using locality preserving indexing
    • Dec.
    • D. Cai, X. He, J. Han, "Document clustering using locality preserving indexing, " IEEE Trans. Knowl. Data Eng., vol. 17, no. 12, pp. 1624-1637, Dec. 2005.
    • (2005) IEEE Trans. Knowl. Data Eng. , vol.17 , Issue.12 , pp. 1624-1637
    • Cai, D.1    He, X.2    Han, J.3


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