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Volumn 57, Issue 1-4, 2004, Pages 49-76

Nonlinear projection with curvilinear distances: Isomap versus curvilinear distance analysis

Author keywords

Curvilinear distance; Geodesic distance; Nonlinear dimensionality reduction; Nonlinear projection

Indexed keywords

DIMENSIONAL STABILITY; LINEAR SYSTEMS; NEURAL NETWORKS; NONLINEAR SYSTEMS;

EID: 1542680971     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2004.01.007     Document Type: Article
Times cited : (160)

References (21)
  • 2
    • 0038455092 scopus 로고    scopus 로고
    • Graph approximations to geodesics on embedded manifolds
    • Technical Report, Stanford University, Stanford, December
    • M. Bernstein, V. de Silva, J.C. Langford, J.B. Tenenbaum, Graph approximations to geodesics on embedded manifolds, Technical Report, Stanford University, Stanford, December 2000.
    • (2000)
    • Bernstein, M.1    de Silva, V.2    Langford, J.C.3    Tenenbaum, J.B.4
  • 3
    • 0030736375 scopus 로고    scopus 로고
    • Curvilinear component analysis: A self-organizing neural network for nonlinear mapping of data sets
    • Demartines P. Hérault J. Curvilinear component analysis: a self-organizing neural network for nonlinear mapping of data sets IEEE Trans. Neural Networks 8 1 1997 148-154
    • (1997) IEEE Trans. Neural Networks , vol.8 , Issue.1 , pp. 148-154
    • Demartines, P.1    Hérault, J.2
  • 4
    • 34147120474 scopus 로고
    • A note on two problems in connection with graphs
    • Dijkstra E.W. A note on two problems in connection with graphs Numer. Math. 1 1959 269-271
    • (1959) Numer. Math. , vol.1 , pp. 269-271
    • Dijkstra, E.W.1
  • 5
    • 84950754164 scopus 로고
    • Exploratory projection pursuit
    • Friedman J.H. Exploratory projection pursuit J. Amer. Statist. Assoc. 82 397 1987 249-266
    • (1987) J. Amer. Statist. Assoc. , vol.82 , Issue.397 , pp. 249-266
    • Friedman, J.H.1
  • 7
    • 40749093037 scopus 로고
    • Measuring the strangeness of strange attractors
    • Grassberger P. Procaccia I. Measuring the strangeness of strange attractors Physica D 9 1983 189-208
    • (1983) Physica D , vol.9 , pp. 189-208
    • Grassberger, P.1    Procaccia, I.2
  • 8
    • 1542535868 scopus 로고    scopus 로고
    • Curvilinear component analysis for high dimensional data representation: I. Theoretical aspects and practical use in the presence of noise
    • J. Mira, & J. V. Sánchez (Eds.), Alicante, Spain: Springer
    • Hérault J. Jaussions-Picaud C. Guérin-Dugué A. Curvilinear component analysis for high dimensional data representation: I. Theoretical aspects and practical use in the presence of noise in: Mira J. Sánchez J.V. (Eds.), Proceedings of IWANN'99 Vol. II 1999 635-644 Springer Alicante, Spain
    • (1999) Proceedings of IWANN'99 , vol.2 , pp. 635-644
    • Hérault, J.1    Jaussions-Picaud, C.2    Guérin-Dugué, A.3
  • 9
    • 58149421595 scopus 로고
    • Analysis of a complex of statistical variables into principal components
    • 417-441
    • Hotelling H. Analysis of a complex of statistical variables into principal components J. Educ. Psychol. 24 1933 417-441, 498-520
    • (1933) J. Educ. Psychol. , vol.24 , pp. 498-520
    • Hotelling, H.1
  • 10
    • 0000263797 scopus 로고
    • Projection Pursuit
    • Huber P.J. Projection Pursuit Ann. Statist. 13 2 1985 435-475
    • (1985) Ann. Statist. , vol.13 , Issue.2 , pp. 435-475
    • Huber, P.J.1
  • 13
    • 0348139702 scopus 로고
    • Dimension reduction by local principal component analysis
    • Kambhatla N. Leen T.K. Dimension reduction by local principal component analysis Neural Comput. 9 7 1994 1493-1516
    • (1994) Neural Comput. , vol.9 , Issue.7 , pp. 1493-1516
    • Kambhatla, N.1    Leen, T.K.2
  • 18
    • 84887006810 scopus 로고
    • A nonlinear mapping algorithm for data structure analysis
    • CC-18
    • Sammon J.W. A nonlinear mapping algorithm for data structure analysis IEEE Trans. Comput. CC-18 5 1969 401-409
    • (1969) IEEE Trans. Comput. , Issue.5 , pp. 401-409
    • Sammon, J.W.1
  • 19
    • 0020876960 scopus 로고
    • Probability density estimation in higher dimensions
    • J. R. Gentle (Ed.), Amsterdam, New York, Oxford: North-Holland, Elsevier Science Publishers
    • Scott D.W. Thompson J.R. Probability density estimation in higher dimensions in: Gentle J.R. (Ed.), Proceedings of the Fifteenth Symposium on the Interface 1983 173-179 North-Holland, Elsevier Science Publishers Amsterdam, New York, Oxford
    • (1983) Proceedings of the Fifteenth Symposium on the Interface , pp. 173-179
    • Scott, D.W.1    Thompson, J.R.2
  • 20
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimensionality reduction
    • Tenenbaum J.B. de Silva V. Langford J.C. A global geometric framework for nonlinear dimensionality reduction Science 290 5500 2000 2319-2323
    • (2000) Science , vol.290 , Issue.5500 , pp. 2319-2323
    • Tenenbaum, J.B.1    de Silva, V.2    Langford, J.C.3
  • 21
    • 84950351930 scopus 로고
    • Multidimensional scaling, I: Theory and method
    • Torgerson W.S. Multidimensional scaling, I: theory and method Psychometrika 17 1952 401-419
    • (1952) Psychometrika , vol.17 , pp. 401-419
    • Torgerson, W.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.