Charting a Manifold

NIPS 2002: Proceedings of the 15th International Conference on Neural Information Processing Systems

Volumn , Issue , 2002, Pages 961-968

  Brand, Matthew ^a  

^a MITSUBISHI ELECTRIC RESEARCH LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

VECTOR SPACES;

CARTESIAN COORDINATE SYSTEM; CARTESIAN-COORDINATES SYSTEM; DIMENSIONAL VECTORS; GEOMETRIC RELATIONS; HIGH-DIMENSIONAL; HIGHER-DIMENSIONAL; INTRINSIC DIMENSIONALITIES; LOW DIMENSIONAL; NONLINEAR MAPPINGS; SAMPLE SPACE;

MAPPING;

EID: 85156243112     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. M. Balasubramanian and E. L. Schwartz. The IsoMap algorithm and topological stability. Science, 295(5552):7, January 2002.
2. C. Bregler and S. Omohundro. Nonlinear image interpolation using manifold learning. In NIPS-7, 1995.
3. D. DeMers and G. Cottrell. Nonlinear dimensionality reduction. In NIPS-5, 1993.
4. J. Gomes and A. Mojsilovic. A variational approach to recovering a manifold from sample points. In ECCV, 2002.
5. T. Hastie and W. Stuetzle. Principal curves. J. Am. Statistical Assoc, 84(406):502-516, 1989.
6. G. Hinton, P. Dayan, and M. Revow. Modeling the manifolds of handwritten digits. IEEE Trans. Neural Networks, 8, 1997.
7. N. Kambhatla and T. Leen. Dimensionality reduction by local principal component analysis. Neural Computation, 9, 1997.
8. S. Roweis, L. Saul, and G. Hinton. Global coordination of linear models. In NIPS-13, 2002.
9. S. T. Roweis and L. K. Saul. Nonlinear dimensionality reduction by locally linear embedding. Science, 290:2323-2326, December 22 2000.
10. A. Smola, S. Mika, B. Schölkopf, and R. Williamson. Regularized principal manifolds. Machine Learning, 1999.
11. Y. W. Teh and S. T. Roweis. Automatic alignment of hidden representations. In NIPS-15, 2003.
12. J. B. Tenenbaum, V. de Silva, and J. C. Langford. A global geometric framework for nonlinear dimensionality reduction. Science, 290:2319-2323, December 22 2000.