Learning orthogonal projections for Isomap

Neurocomputing

Volumn 103, Issue , 2013, Pages 149-154

  Zheng, Yali ^a   Fang, Bin ^a   Tang, Yuan Yan ^b   Zhang, Taiping ^a   Liu, Ruizong ^a  

^a CHONGQING UNIVERSITY   (China)

^b UNIVERSITY OF MACAU   (Macao)

Author keywords

Isomap; Manifold learning; Orthogonal projection

Indexed keywords

NUMERICAL METHODS;

DIMENSIONALITY REDUCTION TECHNIQUES; HIGH DIMENSIONAL SPACES; ISOMAP; ISOMETRIC PROJECTIONS; LOCAL GEOMETRIC STRUCTURES; MANIFOLD LEARNING; MULTI-DIMENSIONAL SCALING; ORTHOGONAL PROJECTION;

EIGENVALUES AND EIGENFUNCTIONS;

ANALYTIC METHOD; ARTICLE; CONCEPTUAL FRAMEWORK; CONTROLLED STUDY; INFORMATION PROCESSING; INTERMETHOD COMPARISON; ISOMAP; LEARNING ALGORITHM; MATHEMATICAL COMPUTING; MULTIDIMENSIONAL SCALING; ORTHOGONAL ISOMETRIC PROJECTION; PRINCIPAL COMPONENT ANALYSIS; PRIORITY JOURNAL; PROCESS OPTIMIZATION;

EID: 84870393406     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2012.09.015     Document Type: Article

References (16)

1. Torgerson W.S. Multidimensional scaling. I. Theory and method. Psychometrika 1952, 17(4):401-419.
2. X. He, P. Niyogi, Locality preserving projections, in: Proceedings of Advances in Neural Information Processing Systems, 2003, pp. 153-160.
3. Roweis S.T., Saul L.K. Nonlinear dimensionality reduction by locally linear embedding. Science 2000, 290:2323-2326.
4. Tenenbaum J.B., Silva V., Langford J.C. A global geometric framework for nonlinear dimensionality reduction. Science 2000, 290:2319-2323.
5. Cai D., He X., Han J., Zhang H.J. Orthogonal Laplacian faces for face recognition. IEEE Trans. Image Process. 2006, 15(11):3608-3614.
6. Kokiopoulou E., Saad Y. Orthogonal neighborhood preserving projections. a projection-based dimensionality reduction technique. IEEE Trans. Pattern Anal. Mach. Intell. 2007, 29(12):2143-2156.
7. He X., Yan S., Hu Y., Niyogi P., Zhang H.J. IEEE Trans. Pattern Anal. Mach. Intell. 2005, 27(3):328-340.
8. Yali Zheng, Yuan Yan Tang, Bin Fang, Taiping Zhang, Orthogonal Isometric Projection, in: Proceedings of IEEE International Conference of Pattern Recognition, 2012.
9. D. Cai, X. He, J. Han, Isometric projection, in: Proceedings of the National Conference on Artificial Intelligence, 2007, pp. 528-533.
10. I. Chaaban, M. Scheessele, Human Performance on the USPS Database, Technique Report, Indiana University South Bend, 2007.
11. Zou H., Hastie T., Tibshirani R. Sparse principal component analysis. J. Comput. Graphical Stat. 2006, 15(2):265-286.
12. Lee J.A., Verleysen M. Nonlinear dimensionality reduction of data manifolds with essential loops. Neurocomputing 2005, 67:29-53.
13. Choi H., Choi S. Robust kernel Isomap. Pattern Recognition 2007, 40(3):853-862.
14. Cai D., He X., Han J. SRDA. an efficient algorithm for large-scale discriminant analysis. IEEE Trans. Knowl. Data Eng. 2008, 20(1):1-12.
15. Balasubramanian M., Schwartz E.L. The isomap algorithm and topological stability. Science 2002, 295:7.
16. Maaten L., Postma E., Herik J. Dimensionality reduction. a comparative review. Comput. Inf. Sci. 2007, 10(2):1-35.