Sampling on locally defined principal manifolds

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

Volumn , Issue , 2011, Pages 2276-2279

  Bas, Erhan ^a   Erdogmus, Deniz ^a  

^a NORTHEASTERN UNIVERSITY   (United States)

Author keywords

Principal graphs; resampling on manifolds

Indexed keywords

DATA PAIRS; GRAPH GENERATION; IRREGULAR SHAPE; NONLINEAR MANIFOLDS; PARAMETRIZATIONS; PRINCIPAL CURVE; PRINCIPAL GRAPHS; PRINCIPAL MANIFOLDS; PROBABILITY DENSITY FUNCTION (PDF); RESAMPLING;

HEURISTIC METHODS; SIGNAL PROCESSING; SPEECH COMMUNICATION;

PROBABILITY DENSITY FUNCTION;

EID: 80051656852     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2011.5946936     Document Type: Conference Paper

References (10)

1. J. B. Tenenbaum, "A global geometric framework for nonlinear dimensionality reduction," Science, vol. 290, no. 5500, pp. 2319-2323, December 2000.
2. Pierre Gaillard, Michaël Aupetit, and Gérard Govaert, "Learning topology of a labeled data set with the supervised generative gaussian graph," Neurocomputing, vol. 71, no. 7-9, pp. 1283-1299, 2008.
3. Lawrence K. Saul, Sam T. Roweis, and Yoram Singer, "Think globally, fit locally: Unsupervised learning of low dimensional manifolds," Journal of Machine Learning Research, vol. 4, pp. 119-155, 2003.
4. Z. Zhang and H. Zha, "Principal manifolds and nonlinear dimension reduction via local tangent space alignment," Arxiv preprint cs/0212008, 2002.
5. A. Gorban and A. Zinovyev, "Elastic principal graphs and manifolds and their practical applications," Computing, vol. 75, no. 4, pp. 359-379, 2005.
6. T. Hastie and W. Stuetzle, "Principal curves," Journal of the American Statistical Association, vol. 84, no. 406, pp. 502-516, 1989.
7. B. Kégl and A. Krzyzak, "Piecewise linear skeletonization using principal curves," IEEE Transactions on Pattern Analysis and Machine Intelligence, pp. 59-74, 2002.
8. D. Erdogmus and U. Ozertem, "Self-consistent locally defined principal surfaces," in Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on. IEEE, 2007, vol. 2.
9. B.W. Silverman, Density estimation for statistics and data analysis, Chapman & Hall/CRC, 1998.
10. Yaser Ajmal Sheikh, E.Khan, and Takeo Kanade, "Modeseeking by medoidshifts," in Eleventh IEEE International Conference on Computer Vision (ICCV 2007), October 2007, number 1.