메뉴 건너뛰기




Volumn 28, Issue 8, 2006, Pages 1236-1250

Learning nonlinear image manifolds by global alignment of local linear models

Author keywords

Feature extraction or construction; Machine learning; Statistical image representation

Indexed keywords

COMPUTER VISION; CONFORMAL MAPPING; DEGREES OF FREEDOM (MECHANICS); FEATURE EXTRACTION; LEARNING SYSTEMS; PIXELS; PROBABILISTIC LOGICS;

EID: 33748149588     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2006.166     Document Type: Article
Times cited : (85)

References (54)
  • 1
    • 17444392293 scopus 로고    scopus 로고
    • Kernel and Subspace Methods for Computer Vision
    • A. Leonardis and H. Bischof, "Kernel and Subspace Methods for Computer Vision," Pattern Recognition, vol. 36, no. 9, pp. 1925-1927, 2003.
    • (2003) Pattern Recognition , vol.36 , Issue.9 , pp. 1925-1927
    • Leonardis, A.1    Bischof, H.2
  • 3
    • 84975551912 scopus 로고
    • Low-Dimensional Procedure for the Characterization of Human Faces
    • L. Sirovich and M. Kirby, "Low-Dimensional Procedure for the Characterization of Human Faces," J. Optical Soc. Am. A, vol. 4, no. 3, pp. 519-524, 1987.
    • (1987) J. Optical Soc. Am. A , vol.4 , Issue.3 , pp. 519-524
    • Sirovich, L.1    Kirby, M.2
  • 5
    • 0026065565 scopus 로고
    • Eigenfaces for Recognition
    • M. Turk and A. Pentland, "Eigenfaces for Recognition," J. Cognitive Neuroscience, vol. 3, no. 1, pp. 71-86, 1991.
    • (1991) J. Cognitive Neuroscience , vol.3 , Issue.1 , pp. 71-86
    • Turk, M.1    Pentland, A.2
  • 6
    • 0029220876 scopus 로고
    • Visual Learning and Recognition of 3-D Objects from Appearance
    • H. Murase and S.K. Nayar, "Visual Learning and Recognition of 3-D Objects from Appearance," Int'l J. Computer Vision, vol. 14, pp. 5-24, 1995.
    • (1995) Int'l J. Computer Vision , vol.14 , pp. 5-24
    • Murase, H.1    Nayar, S.K.2
  • 7
    • 0000621817 scopus 로고
    • Data Compression, Feature Extraction, and Autoassociation in Feedforward Neural Networks
    • E. Oja, "Data Compression, Feature Extraction, and Autoassociation in Feedforward Neural Networks," Proc. Int'l Conf. Artificial Neural Networks, pp. 737-745, 1991.
    • (1991) Proc. Int'l Conf. Artificial Neural Networks , pp. 737-745
    • Oja, E.1
  • 14
    • 33845608859 scopus 로고    scopus 로고
    • Mixture Models for Clustering and Dimension Reduction,
    • PhD dissertation, Univ. of Amsterdam
    • J.J. Verbeek, "Mixture Models for Clustering and Dimension Reduction," PhD dissertation, Univ. of Amsterdam, 2004.
    • (2004)
    • Verbeek, J.J.1
  • 15
    • 1042275194 scopus 로고    scopus 로고
    • A Survey of Dimension Reduction Techniques
    • Technical Report UCRL-ID-148494, Lawrence Livermore Nat'l Laboratory, Center for Applied Scientific Computing
    • I.K. Fodor, "A Survey of Dimension Reduction Techniques," Technical Report UCRL-ID-148494, Lawrence Livermore Nat'l Laboratory, Center for Applied Scientific Computing, 2002.
    • (2002)
    • Fodor, I.K.1
  • 16
    • 0004016553 scopus 로고    scopus 로고
    • A Review of Dimension Reduction Techniques
    • Technical Report CS-96-09, Dept. of Computer Science, Univ. of Sheffield
    • M.Á. Carreira-Perpin̄án, "A Review of Dimension Reduction Techniques," Technical Report CS-96-09, Dept. of Computer Science, Univ. of Sheffield, 1997.
    • (1997)
    • Carreira-Perpin̄án, M.A.1
  • 17
    • 0034704229 scopus 로고    scopus 로고
    • A Global Geometric Framework for Nonlinear-Dimensionality Reduction
    • J.B. Tenenbaum, V. de Silva, and J.C. Langford, "A Global Geometric Framework for Nonlinear-Dimensionality Reduction," Science, vol. 290, no. 5500, pp. 2319-2323, 2000.
    • (2000) Science , vol.290 , Issue.5500 , pp. 2319-2323
    • Tenenbaum, J.B.1    de Silva, V.2    Langford, J.C.3
  • 18
    • 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
  • 19
    • 0347243182 scopus 로고    scopus 로고
    • Nonlinear Component Analysis as a Kernel Eigenvalue Problem
    • B. Schölkopf, A.J. Smola, and K.-R. Müller, "Nonlinear Component Analysis as a Kernel Eigenvalue Problem," Neural Computation, vol. 10, pp. 1299-1319, 1998.
    • (1998) Neural Computation , vol.10 , pp. 1299-1319
    • Schölkopf, B.1    Smola, A.J.2    Müller, K.-R.3
  • 23
    • 84880203756 scopus 로고    scopus 로고
    • Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering
    • M. Belkin and P. Niyogi, "Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering," Advances in Neural Information Processing Systems, vol. 14, pp. 585-591, 2002.
    • (2002) Advances in Neural Information Processing Systems , vol.14 , pp. 585-591
    • Belkin, M.1    Niyogi, P.2
  • 28
    • 0033556788 scopus 로고    scopus 로고
    • Mixtures of Probabilistic Principal Component Analysers
    • M.E. Tipping and C.M. Bishop, "Mixtures of Probabilistic Principal Component Analysers," Neural Computation, vol. 11, no. 2, pp. 443-482, 1999.
    • (1999) Neural Computation , vol.11 , Issue.2 , pp. 443-482
    • Tipping, M.E.1    Bishop, C.M.2
  • 29
    • 0030737323 scopus 로고    scopus 로고
    • Modeling the Manifolds of Images of Handwritten Digits
    • G.E. Hinton, P. Dayan, and M. Revow, "Modeling the Manifolds of Images of Handwritten Digits," IEEE Trans. Neural Networks, vol. 8, no. 1, pp. 65-74, 1997.
    • (1997) IEEE Trans. Neural Networks , vol.8 , Issue.1 , pp. 65-74
    • Hinton, G.E.1    Dayan, P.2    Revow, M.3
  • 32
    • 18244387717 scopus 로고    scopus 로고
    • The EM Algorithm - An Old Folk Song Sung to a Fast New Tune
    • X. Meng and D. van Dyk, "The EM Algorithm - An Old Folk Song Sung to a Fast New Tune," J. Royal Statistical Soc., Series B (Methodological), vol. 59, no. 1, pp. 511-567, 1997.
    • (1997) J. Royal Statistical Soc., Series B (Methodological) , vol.59 , Issue.1 , pp. 511-567
    • Meng, X.1    van Dyk, D.2
  • 33
    • 33947166537 scopus 로고    scopus 로고
    • Robust Subspace Mixture Models Using t-Distributions
    • D. de Ridder and V. Franc, "Robust Subspace Mixture Models Using t-Distributions," Proc. British Machine Vision Conf., pp. 319-328, 2003.
    • (2003) Proc. British Machine Vision Conf , pp. 319-328
    • de Ridder, D.1    Franc, V.2
  • 35
    • 0003744820 scopus 로고    scopus 로고
    • The EM Algorithm for Mixtures of Factor Analyzers
    • Technical Report CRG-TR-96-1, Univ. of Toronto
    • Z. Ghahramani and G.E. Hinton, "The EM Algorithm for Mixtures of Factor Analyzers," Technical Report CRG-TR-96-1, Univ. of Toronto, 1996.
    • (1996)
    • Ghahramani, Z.1    Hinton, G.E.2
  • 38
    • 0012087823 scopus 로고    scopus 로고
    • Learning the Topology of Views: From Images to Objects,
    • PhD dissertation, Ruhr-Univ.-Bochum, Bochum, Germany
    • J. Wieghardt, "Learning the Topology of Views: From Images to Objects," PhD dissertation, Ruhr-Univ.-Bochum, Bochum, Germany, 2001.
    • (2001)
    • Wieghardt, J.1
  • 39
    • 2342517502 scopus 로고    scopus 로고
    • Think Globally, Fit Locally: Unsupervised Learning of Low-Dimensional Manifolds
    • L.K. Saul and S.T. Roweis, "Think Globally, Fit Locally: Unsupervised Learning of Low-Dimensional Manifolds," J. Machine Learning Research, vol. 4, pp. 119-155, 2003.
    • (2003) J. Machine Learning Research , vol.4 , pp. 119-155
    • Saul, L.K.1    Roweis, S.T.2
  • 40
    • 0034246689 scopus 로고    scopus 로고
    • Kullback Proximal Algorithms for Maximum Likelihood Estimation
    • S. Chretien and A.O. Hero, "Kullback Proximal Algorithms for Maximum Likelihood Estimation," IEEE Trans. Information Theory, vol. 46, no. 5, pp. 1800-1810, 2000.
    • (2000) IEEE Trans. Information Theory , vol.46 , Issue.5 , pp. 1800-1810
    • Chretien, S.1    Hero, A.O.2
  • 43
    • 84898957854 scopus 로고    scopus 로고
    • Intrinsic Dimension Estimation Using Packing Numbers
    • B. Kégl, "Intrinsic Dimension Estimation Using Packing Numbers," Advances in Neural Information Processing Systems, vol. 15, pp. 681-688, 2003.
    • (2003) Advances in Neural Information Processing Systems , vol.15 , pp. 681-688
    • Kégl, B.1
  • 44
    • 3543131272 scopus 로고    scopus 로고
    • Geodesic Entropic Graphs for Dimension and Entropy Estimation in Manifold Learning
    • J.A. Costa and A.O. Hero, "Geodesic Entropic Graphs for Dimension and Entropy Estimation in Manifold Learning," IEEE Trans. Signal Processing, vol. 52, no. 8, pp. 2210-2221, 2004.
    • (2004) IEEE Trans. Signal Processing , vol.52 , Issue.8 , pp. 2210-2221
    • Costa, J.A.1    Hero, A.O.2
  • 52
    • 84980162923 scopus 로고
    • Riemann Center of Mass and Mollifier Smoothing
    • H. Karger, "Riemann Center of Mass and Mollifier Smoothing," Comm. Pure and Applied Math., vol. 3, pp. 509-541, 1977.
    • (1977) Comm. Pure and Applied Math , vol.3 , pp. 509-541
    • Karger, H.1
  • 54
    • 0036533586 scopus 로고    scopus 로고
    • How to Measure the Pose Robustness of Object Views
    • G. Peters, B. Zitova, and C. von der Malsburg, "How to Measure the Pose Robustness of Object Views," Image and Vision Computing, vol. 20, no. 4, pp. 249-256, 2002.
    • (2002) Image and Vision Computing , vol.20 , Issue.4 , pp. 249-256
    • Peters, G.1    Zitova, B.2    von der Malsburg, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.