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Volumn 43, Issue 4, 2010, Pages 1257-1268

Nonlinear embedding preserving multiple local-linearities

Author keywords

Dimensionality reduction; Manifold learning; Stability of algorithm; Weight vector

Indexed keywords

DIMENSIONALITY REDUCTION; EFFICIENT ALGORITHM; LOCAL CONSTRAINTS; LOCAL TANGENT SPACE ALIGNMENT; LOCALLY LINEAR EMBEDDING; MANIFOLD LEARNING; MULTIPLE SET; NONLINEAR DIMENSIONALITY REDUCTION; NONLINEAR EMBEDDING; NUMERICAL EXAMPLE; OPTIMAL WEIGHT; WEIGHT VECTOR;

EID: 74449086575     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2009.09.014     Document Type: Article
Times cited : (14)

References (19)
  • 1
    • 70350335356 scopus 로고
    • North-Holland Publishing Company
    • J. Anderson, Logistic Discrimination, North-Holland Publishing Company, 1982, pp. 169-191.
    • (1982) Logistic Discrimination , pp. 169-191
    • Anderson, J.1
  • 2
    • 0042378381 scopus 로고    scopus 로고
    • Laplacian eigenmaps for dimensionality reduction and data representation
    • Belkin M., and Niyogi P. Laplacian eigenmaps for dimensionality reduction and data representation. Neural Computation 15 6 (2003) 1373-1396
    • (2003) Neural Computation , vol.15 , Issue.6 , pp. 1373-1396
    • Belkin, M.1    Niyogi, P.2
  • 4
    • 0037948870 scopus 로고    scopus 로고
    • Hessian eigenmaps: new tools for nonlinear dimensionality reduction
    • Donoho D., and Grimes C. Hessian eigenmaps: new tools for nonlinear dimensionality reduction. Proceedings of National Academy of Science 100 (2003) 5591-5596
    • (2003) Proceedings of National Academy of Science , vol.100 , pp. 5591-5596
    • Donoho, D.1    Grimes, C.2
  • 9
    • 0001020875 scopus 로고    scopus 로고
    • Performance evaluation of the nearest feature line method in image classification and retrieval
    • Li S., Chan K., and Wang C. Performance evaluation of the nearest feature line method in image classification and retrieval. IEEE Transactions on Pattern Analysis and Machine Intelligence 22 11 (2000) 1335-1339
    • (2000) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.22 , Issue.11 , pp. 1335-1339
    • Li, S.1    Chan, K.2    Wang, C.3
  • 10
    • 58249094366 scopus 로고    scopus 로고
    • Weighted locally linear embedding for dimension reduction
    • Pan Y., Ge S., and Mamuna A. Weighted locally linear embedding for dimension reduction. Pattern Recognition 42 5 (2009) 798-811
    • (2009) Pattern Recognition , vol.42 , Issue.5 , pp. 798-811
    • Pan, Y.1    Ge, S.2    Mamuna, A.3
  • 11
    • 0034704222 scopus 로고    scopus 로고
    • Nonlinear dimensionality reduction by locally linear embedding
    • Roweis S., and Saul L. Nonlinear dimensionality reduction by locally linear embedding. Science 290 (2000) 2323-2326
    • (2000) Science , vol.290 , pp. 2323-2326
    • Roweis, S.1    Saul, L.2
  • 12
    • 2342517502 scopus 로고    scopus 로고
    • Think globally, fit locally: unsupervised learning of nonlinear manifolds
    • Saul L., and Roweis S. Think globally, fit locally: unsupervised learning of nonlinear manifolds. Journal of Machine Learning Research 4 (2003) 119-155
    • (2003) Journal of Machine Learning Research , vol.4 , pp. 119-155
    • Saul, L.1    Roweis, S.2
  • 15
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimension reduction
    • Tenenbaum J., De Silva V., and Langford J. A global geometric framework for nonlinear dimension reduction. Science 290 (2000) 2319-2323
    • (2000) Science , vol.290 , pp. 2319-2323
    • Tenenbaum, J.1    De Silva, V.2    Langford, J.3
  • 17
    • 84898976138 scopus 로고    scopus 로고
    • Z. Zhang, J. Wang, H. Zha, Adaptive manifold learning, in: L.K. Saul, Y. Weiss, L. Bottou, Advances in Neural Information Processing Systems, 17, MIT Press, Cambridge, MA, 2005, pp. 1473-1480.
    • Z. Zhang, J. Wang, H. Zha, Adaptive manifold learning, in: L.K. Saul, Y. Weiss, L. Bottou, Advances in Neural Information Processing Systems, vol. 17, MIT Press, Cambridge, MA, 2005, pp. 1473-1480.
  • 18
    • 68649111457 scopus 로고    scopus 로고
    • Spectral properties of the alignment matrices in manifold learning
    • Zha H., and Zhang Z. Spectral properties of the alignment matrices in manifold learning. SIAM Review 51 3 (2009) 454-566
    • (2009) SIAM Review , vol.51 , Issue.3 , pp. 454-566
    • Zha, H.1    Zhang, Z.2
  • 19
    • 14544307975 scopus 로고    scopus 로고
    • Principal manifolds and nonlinear dimensionality reduction via tangent space alignment
    • Zhang Z., and Zha H. Principal manifolds and nonlinear dimensionality reduction via tangent space alignment. SIAM Journal on Scientific Computing 26 1 (2005) 313-338
    • (2005) SIAM Journal on Scientific Computing , vol.26 , Issue.1 , pp. 313-338
    • Zhang, Z.1    Zha, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.