Local conditions for critical and principal manifolds

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn , Issue , 2008, Pages 1893-1896

  Ozertem, Umut ^a   Erdogmus, Deniz ^a  

^a OREGON HEALTH AND SCIENCE UNIVERSITY   (United States)

Author keywords

Denoising; Dimensionality reduction; Feature extraction; Manifold learning; Principal curves; Unsupervised learning

Indexed keywords

DENOISING; DIMENSIONALITY REDUCTION; FEATURE EXTRACTION; MANIFOLD LEARNING; PRINCIPAL CURVES; UNSUPERVISED LEARNING;

ACOUSTICS; DATA STRUCTURES; LEAST SQUARES APPROXIMATIONS; SIGNAL PROCESSING; SPEECH;

ERROR ANALYSIS;

EID: 51449121587     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2008.4518004     Document Type: Conference Paper

References (11)

1. S. Roweis, L. Saul, "Nonlinear dimensionality reduction by locally linear embedding," Science, vol 290, no. 5500, pp.2323-2326, 2000.
2. B. Schlkopf, A. J. Smola, and K. R. Mller, "Nonlinear component analysis as a kernel eigenvalue problem," Neural Computation, vol. 10, pp. 12991319, 1998.
3. M. Belkin, R Niyogi, "Laplacian eigenmaps and spectral techniques for embedding and clustering," Advances in Neural Information Processing Systems, Cambridge, MA, MTT Press, 2002.
4. T. Hastie, W. Stuetzle, "Principal Curves," Jour. Am. Statistical Assoc., vol. 84, no. 406, pp. 502-516, 1989.
5. R. Tibshirani, "Principal Curves Revisited," Statistics and Computation, vol. 2, pp. 183-190, 1992.
6. S. Sandilya, S. R. Kulkarni, "Principal Curves with Bounded Turn," IEEE Trans. on Information Theory, vol. 48, no. 10, pp. 2789-2793, 2002.
7. B. Kegl, A. Kryzak, T. Under, K. Zeger, "Learning and Design of Principal Curves," IEEE Trans. on PAMI, vol. 22, no. 3, pp. 281-297, 2000.
8. D. C. Stanford, A. E. Raftery, "Finding Curvilinear Features in Spatial Point Patterns: Principal Curve Clustering with Noise," IEEE Trans. on PAMI, vol. 22, no. 6, 601-609, 2000.
9. D. Frdogmus, U. Ozertem, "Self-Consistent Locally Defined Principal Curves," ICASSP 2007, vol. 2, II-549 - II-552, 2007.
10. B. Kegl, A. Kryzak, "Piecewise Linear Skeletonization Using Principal Curves," IEEE Trans. on PAMI, vol. 24, no. 1, 59-74, 2002.
11. Y. Cheng, "Mean Shift, Mode Seeking, and Clustering," IEEE Trans. on PAMI, vol. 17, no. 8, pp. 790-799, 1995.