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Volumn 22, Issue 7, 2013, Pages 2911-2920

A linear support higher-order tensor machine for classification

Author keywords

Higher order tensor; support tensor machine (STM); support vector machine (SVM); tensor classification; tensor rank one decomposition

Indexed keywords

EFFECTIVE LEARNING; GAIT RECOGNITION; HIGHER-ORDER TENSOR; ITERATIVE TECHNIQUE; LEARNING MACHINES; NONCONVEX OPTIMIZATION PROBLEM; PERFORMANCE GAIN; SUPPORT TENSOR MACHINE (STM);

EID: 84878311477     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2013.2253485     Document Type: Article
Times cited : (117)

References (61)
  • 2
    • 0032804927 scopus 로고    scopus 로고
    • The visual analysis of human movement: A survey
    • D. Gavrila, "The visual analysis of human movement: A survey," Comput. Vis. Image Understand., vol. 73, no. 1, pp. 82-92, 1999.
    • (1999) Comput. Vis. Image Understand. , vol.73 , Issue.1 , pp. 82-92
    • Gavrila, D.1
  • 4
    • 5044219893 scopus 로고    scopus 로고
    • Bayesian face recognition using support vector machine and face clustering
    • Jun.-Jul.
    • Z. Li and X. Tang, "Bayesian face recognition using support vector machine and face clustering," in Proc. IEEE Comput. Soc. Conf. Comput. Vis. Pattern Recognit., Jun.-Jul. 2004, pp. 259-265.
    • (2004) Proc. IEEE Comput. Soc. Conf. Comput. Vis. Pattern Recognit , pp. 259-265
    • Li, Z.1    Tang, X.2
  • 6
    • 33750294755 scopus 로고    scopus 로고
    • Multitraining support vector machine for image retrieval
    • DOI 10.1109/TIP.2006.881938
    • J. Li, N. Allinsion, D. Tao, and X. Li, "Multitraining support vector machine for image retrieval," IEEE Trans. Image Process., vol. 15, no. 11, pp. 3597-3601, Nov. 2006. (Pubitemid 44615153)
    • (2006) IEEE Transactions on Image Processing , vol.15 , Issue.11 , pp. 3597-3601
    • Li, J.1    Allinson, N.2    Tao, D.3    Li, X.4
  • 7
    • 78049290930 scopus 로고    scopus 로고
    • A novel technique for subpixel image classification based on support vector machine
    • Nov.
    • F. Bovolo, L. Bruzzone, and L. Carlin, "A novel technique for subpixel image classification based on support vector machine," IEEE Trans. Image Process., vol. 19, no. 11, pp. 2983-2999, Nov. 2010.
    • (2010) IEEE Trans. Image Process. , vol.19 , Issue.11 , pp. 2983-2999
    • Bovolo, F.1    Bruzzone, L.2    Carlin, L.3
  • 9
    • 3543116865 scopus 로고    scopus 로고
    • Ph.D. dissertation, Inst. Computer Science and Applied Mathematics, Christian-Albrechts-Univ. Kiel, Kiel, Germany
    • M. Felsberg, "Low-level image processing with the structure multivec-tor," Ph.D. dissertation, Inst. Computer Science and Applied Mathematics, Christian-Albrechts-Univ. Kiel, Kiel, Germany, 2002.
    • (2002) Low-level Image Processing with the Structure Multivec-tor
    • Felsberg, M.1
  • 11
    • 1642376340 scopus 로고    scopus 로고
    • Quantifying and recognizing human movement patterns from monocular video images-part II: Applications to biometrics
    • Feb.
    • R. Green and L. Guan, "Quantifying and recognizing human movement patterns from monocular video images-part II: Applications to biometrics," IEEE Trans. Circuits Syst. Video Technol., vol. 14, no. 2, pp. 191-198, Feb. 2004.
    • (2004) IEEE Trans. Circuits Syst. Video Technol. , vol.14 , Issue.2 , pp. 191-198
    • Green, R.1    Guan, L.2
  • 13
    • 84861175803 scopus 로고    scopus 로고
    • 3-D discrete shearlet transform and video processing
    • Jun.
    • P. Negi and D. Labate, "3-D discrete shearlet transform and video processing," IEEE Trans. Image Process., vol. 21, no. 6, pp. 2944-2954, Jun. 2012.
    • (2012) IEEE Trans. Image Process. , vol.21 , Issue.6 , pp. 2944-2954
    • Negi, P.1    Labate, D.2
  • 15
    • 38749143022 scopus 로고    scopus 로고
    • MPCA: Multilinear principal component analysis of tensor objects
    • DOI 10.1109/TNN.2007.901277
    • H. Lu, K. Plataniotis, and A. Venetsanopoulos, "MPCA: Multilinear principal component analysis of tensor objects," IEEE Trans. Neural Netw., vol. 19, no. 1, pp. 18-39, Jan. 2008. (Pubitemid 351279223)
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.1 , pp. 18-39
    • Lu, H.1    Plataniotis, K.N.2    Venetsanopoulos, A.N.3
  • 16
    • 63149112633 scopus 로고    scopus 로고
    • Dimensionality reduction based on tensor modeling for classification methods
    • Apr.
    • N. Renard and S. Bourennane, "Dimensionality reduction based on tensor modeling for classification methods," IEEE Trans. Geosci. Remote Sens., vol. 47, no. 4, pp. 1123-1131, Apr. 2009.
    • (2009) IEEE Trans. Geosci. Remote Sens. , vol.47 , Issue.4 , pp. 1123-1131
    • Renard, N.1    Bourennane, S.2
  • 17
    • 0035314119 scopus 로고    scopus 로고
    • Moving object segmentation in video sequences by user interaction and automatic object tracking
    • DOI 10.1016/S0262-8856(00)00074-3
    • M. Kim, J. Jeon, J. Kwak, M. Lee, and C. Ahn, "Moving object segmentation in video sequences by user interaction and automatic object tracking," Image Vis. Comput., vol. 19, no. 5, pp. 245-260, 2001. (Pubitemid 32160650)
    • (2001) Image and Vision Computing , vol.19 , Issue.5 , pp. 245-260
    • Kim, M.1    Jeon, J.G.2    Kwak, J.S.3    Lee, M.H.4    Ahn, C.5
  • 18
    • 10044232628 scopus 로고    scopus 로고
    • Compact representation of multidimensional data using tensor rank-one decomposition
    • H. Wang and N. Ahuja, "Compact representation of multidimensional data using tensor rank-one decomposition," in Proc. 17th Int. Conf. Pattern Recognit., vol. 1. 2004, pp. 44-47.
    • (2004) Proc. 17th Int. Conf. Pattern Recognit. , vol.1 , pp. 44-47
    • Wang, H.1    Ahuja, N.2
  • 19
    • 79957501860 scopus 로고    scopus 로고
    • Face image modeling by multilinear subspace analysis with missing values
    • Jun.
    • X. Geng, K. Smith-Miles, Z.-H. Zhou, and L. Wang, "Face image modeling by multilinear subspace analysis with missing values," IEEE Trans. Syst., Man, Cybern B, Cybern., vol. 41, no. 3, pp. 881-892, Jun. 2011.
    • (2011) IEEE Trans. Syst., Man, Cybern B, Cybern. , vol.41 , Issue.3 , pp. 881-892
    • Geng, X.1    Smith-Miles, K.2    Zhou, Z.-H.3    Wang, L.4
  • 21
    • 58649095928 scopus 로고    scopus 로고
    • Uncorrelated multilinear discriminant analysis with regularization and aggregation for tensor object recognition
    • Jan.
    • H. Lu, K. Plataniotis, and A. Venetsanopoulos, "Uncorrelated multilinear discriminant analysis with regularization and aggregation for tensor object recognition," IEEE Trans. Neural Netw., vol. 20, no. 1, pp. 103-123, Jan. 2009.
    • (2009) IEEE Trans. Neural Netw. , vol.20 , Issue.1 , pp. 103-123
    • Lu, H.1    Plataniotis, K.2    Venetsanopoulos, A.3
  • 22
  • 24
    • 0036473287 scopus 로고    scopus 로고
    • Two variations on fisher's linear discriminant for pattern recognition
    • DOI 10.1109/34.982904
    • T. Cooke, "Two variations on Fisher's linear discriminant for pattern recognition," IEEE Trans. Pattern Anal. Mach. Intell., vol. 24, no. 2, pp. 268-273, Feb. 2002. (Pubitemid 34198213)
    • (2002) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.24 , Issue.2 , pp. 268-273
    • Cooke, T.1
  • 26
    • 33746424489 scopus 로고    scopus 로고
    • Asymmetric bagging and random subspace for support vector machines-based relevance feedback in image retrieval
    • Jul.
    • D. Tao, X. Tang, X. Li, and X. Wu, "Asymmetric bagging and random subspace for support vector machines-based relevance feedback in image retrieval," IEEE Trans. Pattern Anal. Mach. Intell., vol. 28, no. 7, pp. 1088-1099, Jul. 2006.
    • (2006) IEEE Trans. Pattern Anal. Mach. Intell. , vol.28 , Issue.7 , pp. 1088-1099
    • Tao, D.1    Tang, X.2    Li, X.3    Wu, X.4
  • 27
    • 0035683732 scopus 로고    scopus 로고
    • Linear image coding for regression and classification using the tensor-rank principle
    • Dec.
    • A. Shashua and A. Levin, "Linear image coding for regression and classification using the tensor-rank principle," in Proc. IEEE Comput. Soc. Conf. Comput. Vis. Pattern Recognit., vol. 1. Dec. 2001, pp. 42-49.
    • (2001) Proc. IEEE Comput. Soc. Conf. Comput. Vis. Pattern Recognit. , vol.1 , pp. 42-49
    • Shashua, A.1    Levin, A.2
  • 28
    • 33745944718 scopus 로고    scopus 로고
    • Sparse image coding using a 3D non-negative tensor factorization
    • DOI 10.1109/ICCV.2005.228, 1541238, Proceedings - 10th IEEE International Conference on Computer Vision, ICCV 2005
    • T. Hazan, S. Polak, and A. Shashua, "Sparse image coding using a 3D non-negative tensor factorization," in Proc. 10th IEEE Int. Conf. Comput. Vis., vol. 1. Oct. 2005, pp. 50-57. (Pubitemid 44054940)
    • (2005) Proceedings of the IEEE International Conference on Computer Vision , vol.I , pp. 50-57
    • Hazan, T.1    Polak, S.2    Shashua, A.3
  • 29
    • 68649096448 scopus 로고    scopus 로고
    • Tensor decompositions and applications
    • T. Kolda and B. Bader, "Tensor decompositions and applications," SIAM Rev., vol. 51, no. 3, pp. 455-500, 2009.
    • (2009) SIAM Rev. , vol.51 , Issue.3 , pp. 455-500
    • Kolda, T.1    Bader, B.2
  • 31
    • 77958020335 scopus 로고    scopus 로고
    • Improvement of classification for hyperspectral images based on tensor modeling
    • Oct.
    • S. Bourennane, C. Fossati, and A. Cailly, "Improvement of classification for hyperspectral images based on tensor modeling," IEEE Geosci. Remote Sens. Lett., vol. 7, no. 4, pp. 801-805, Oct. 2010.
    • (2010) IEEE Geosci. Remote Sens. Lett. , vol.7 , Issue.4 , pp. 801-805
    • Bourennane, S.1    Fossati, C.2    Cailly, A.3
  • 33
    • 39549087054 scopus 로고    scopus 로고
    • Image classification using correlation tensor analysis
    • DOI 10.1109/TIP.2007.914203
    • Y. Fu and T. Huang, "Image classification using correlation tensor analysis," IEEE Trans. Image Process., vol. 17, no. 2, pp. 226-234, Feb. 2008. (Pubitemid 351279250)
    • (2008) IEEE Transactions on Image Processing , vol.17 , Issue.2 , pp. 226-234
    • Fu, Y.1    Huang, T.S.2
  • 34
    • 79952194000 scopus 로고    scopus 로고
    • A survey of multilinear subspace learning for tensor data
    • H. Lu, K. Plataniotis, and A. Venetsanopoulos, "A survey of multilinear subspace learning for tensor data," Pattern Recogn., vol. 44, no. 7, pp. 1540-1551, 2011.
    • (2011) Pattern Recogn. , vol.44 , Issue.7 , pp. 1540-1551
    • Lu, H.1    Plataniotis, K.2    Venetsanopoulos, A.3
  • 36
    • 58149529490 scopus 로고    scopus 로고
    • Dept. Comput. Sci., Univ. Illinois at Urbana-Champaign, Urbana, IL, USA, Tech. Rep. UIUCDCS-R-2006-2716, Apr.
    • D. Cai, X. He, and J. Han, "Learning with tensor representation," Dept. Comput. Sci., Univ. Illinois at Urbana-Champaign, Urbana, IL, USA, Tech. Rep. UIUCDCS-R-2006-2716, Apr. 2006.
    • (2006) Learning with Tensor Representation
    • Cai, D.1    He, X.2    Han, J.3
  • 38
    • 68549086191 scopus 로고    scopus 로고
    • Active post-refined multimodal-ity video semantic concept detection with tensor representation
    • Y. Liu, F. Wu, Y. Zhuang, and J. Xiao, "Active post-refined multimodal-ity video semantic concept detection with tensor representation, " in Proc. ACM Conf. Multimedia, 2008, pp. 91-100.
    • (2008) Proc. ACM Conf. Multimedia , pp. 91-100
    • Liu, Y.1    Wu, F.2    Zhuang, Y.3    Xiao, J.4
  • 42
    • 34249753618 scopus 로고
    • Support vector networks
    • C. Cortes and V. Vapnik, "Support vector networks," Mach. Learn., vol. 20, no. 3, pp. 273-297, 1995.
    • (1995) Mach. Learn. , vol.20 , Issue.3 , pp. 273-297
    • Cortes, C.1    Vapnik, V.2
  • 44
    • 0032638628 scopus 로고    scopus 로고
    • Least squares support vector machine classifiers
    • J. Suykens and J. Vandewalle, "Least squares support vector machine classifiers," Neural Process. Lett., vol. 9, no. 3, pp. 293-300, 1999.
    • (1999) Neural Process. Lett. , vol.9 , Issue.3 , pp. 293-300
    • Suykens, J.1    Vandewalle, J.2
  • 45
    • 43649104508 scopus 로고    scopus 로고
    • Exploiting tensor rank-one decomposition in probabilistic inference
    • P. Savicky and J. Vomlel, "Exploiting tensor rank-one decomposition in probabilistic inference," Kybernetika, vol. 43, no. 5, pp. 747-764, 2007.
    • (2007) Kybernetika , vol.43 , Issue.5 , pp. 747-764
    • Savicky, P.1    Vomlel, J.2
  • 47
    • 0003450304 scopus 로고    scopus 로고
    • Ph.D. dissertation, Dept. Elektrotechniek, Katholieke Univ., Leuven, Belgium, Sep.
    • L. Lathauwer, "Signal processing based on multilinear algebra," Ph.D. dissertation, Dept. Elektrotechniek, Katholieke Univ., Leuven, Belgium, Sep. 1997.
    • (1997) Signal Processing Based on Multilinear Algebra
    • Lathauwer, L.1
  • 48
    • 70449614665 scopus 로고    scopus 로고
    • A taxonomy of emerging multilinear discriminant analysis solutions for biometric signal recognition
    • N. V. Boul-gouris, K. Plataniotis, and E. Micheli-Tzanakou, Eds. New York, NY, USA: Wiley
    • H. Lu, K. Plataniotis, and A. Venetsanopoulos, "A taxonomy of emerging multilinear discriminant analysis solutions for biometric signal recognition," in Biometrics: Theory, Methods, and Applications, N. V. Boul-gouris, K. Plataniotis, and E. Micheli-Tzanakou, Eds. New York, NY, USA: Wiley, 2009.
    • (2009) Biometrics: Theory, Methods, and Applications
    • Lu, H.1    Plataniotis, K.2    Venetsanopoulos, A.3
  • 50
    • 0036056838 scopus 로고    scopus 로고
    • Rank-one approximation to high order tensors
    • T. Zhang and G. Golub, "Rank-one approximation to high order tensors," SIAM J. Matrix Anal. Appl., vol. 23, no. 2, pp. 534-550, 2001.
    • (2001) SIAM J. Matrix Anal. Appl. , vol.23 , Issue.2 , pp. 534-550
    • Zhang, T.1    Golub, G.2
  • 51
    • 0000545946 scopus 로고    scopus 로고
    • Improvements to Platt's SMO algorithm for SVM classifier design
    • DOI 10.1162/089976601300014493
    • S. Keerthi, S. Shevade, C. Bhattacharyya, and K. Murthy, "Improvement to Platt's SMO algorithm for SVM classifier design," Neural Comput., vol. 13, no. 3, pp. 637-649, 2001. (Pubitemid 33595014)
    • (2001) Neural Computation , vol.13 , Issue.3 , pp. 637-649
    • Keerthi, S.S.1    Shevade, S.K.2    Bhattacharyya, C.3    Murthy, K.R.K.4
  • 52
    • 0002229304 scopus 로고    scopus 로고
    • Pairwise classification and support vector machines
    • Cambridge MA, USA: MIT Press
    • U. Kreßel, "Pairwise classification and support vector machines," in Advances in Kernel Methods: Support Vector Learning. Cambridge MA, USA: MIT Press, 1999, pp. 255-268.
    • (1999) Advances in Kernel Methods: Support Vector Learning , pp. 255-268
    • Kreßel, U.1
  • 54
    • 0002332422 scopus 로고
    • Principal component analysis of three-mode data by means of alternating least squares algorithms
    • Mar.
    • P. Kroonenberg and J. Leeuw, "Principal component analysis of three-mode data by means of alternating least squares algorithms," Psychome-trika, vol. 45, no. 1, pp. 69-97, Mar. 1980.
    • (1980) Psychome-trika , vol.45 , Issue.1 , pp. 69-97
    • Kroonenberg, P.1    Leeuw, J.2
  • 56
    • 84870201308 scopus 로고    scopus 로고
    • Efficient classification for additive kernel SVMs
    • Jan.
    • S. Maji, A. Berg, and J. Malik, "Efficient classification for additive kernel SVMs," IEEE Trans. Pattern Anal. Mach. Intell., vol. 35, no. 1, pp. 66-77, Jan. 2013.
    • (2013) IEEE Trans. Pattern Anal. Mach. Intell. , vol.35 , Issue.1 , pp. 66-77
    • Maji, S.1    Berg, A.2    Malik, J.3
  • 57
    • 29644438050 scopus 로고    scopus 로고
    • Statistical comparisons of classifiers over multiple data sets
    • J. Demšar, "Statistical comparisons of classifiers over multiple data sets," J. Mach. Learn. Res., vol. 7, pp. 1-30, Jan. 2006. (Pubitemid 43022939)
    • (2006) Journal of Machine Learning Research , vol.7 , pp. 1-30
    • Demsar, J.1
  • 58
    • 33645762226 scopus 로고
    • A sharper Bonferroni procedure for multiple tests of significance
    • Y. Hochberg, "A sharper Bonferroni procedure for multiple tests of significance," Biometrika, vol. 75, no. 4, pp. 800-802, 1988.
    • (1988) Biometrika , vol.75 , Issue.4 , pp. 800-802
    • Hochberg, Y.1
  • 59
    • 79955656230 scopus 로고    scopus 로고
    • Factorization strategies for third-order tensors
    • Aug.
    • M. Kilmer and C. Martin, "Factorization strategies for third-order tensors," Linear Algebra Appl., vol. 435, no. 3, pp. 641-658, Aug. 2011.
    • (2011) Linear Algebra Appl. , vol.435 , Issue.3 , pp. 641-658
    • Kilmer, M.1    Martin, C.2
  • 60
    • 55349142218 scopus 로고    scopus 로고
    • Tensor rank and the ill-posedness of the best low-rank approximation problem
    • V. Silva and L.-H. Lim, "Tensor rank and the ill-posedness of the best low-rank approximation problem," SIAM J. Matrix Anal. Appl., vol. 30, no. 3, pp. 1084-1127, 2008.
    • (2008) SIAM J. Matrix Anal. Appl. , vol.30 , Issue.3 , pp. 1084-1127
    • Silva, V.1    Lim, L.-H.2
  • 61
    • 79961157349 scopus 로고    scopus 로고
    • The rank of a 2×2×2 tensor
    • C. Martin, "The rank of a 2×2×2 tensor," Linear and Multilinear Algebra, vol. 59, no. 8, pp. 943-950, 2011.
    • (2011) Linear and Multilinear Algebra , vol.59 , Issue.8 , pp. 943-950
    • Martin, C.1


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