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Stratification Learning: Detecting Mixed Density and Dimensionality in High Dimensional Point Clouds

Publication ,  Conference
Haro, G; Randall, G; Sapiro, G
Published in: NIPS 2006: Proceedings of the 19th International Conference on Neural Information Processing Systems
January 1, 2006

The study of point cloud data sampled from a stratification, a collection of manifolds with possible different dimensions, is pursued in this paper. We present a technique for simultaneously soft clustering and estimating the mixed dimensionality and density of such structures. The framework is based on a maximum likelihood estimation of a Poisson mixture model. The presentation of the approach is completed with artificial and real examples demonstrating the importance of extending manifold learning to stratification learning.

Duke Scholars

Published In

NIPS 2006: Proceedings of the 19th International Conference on Neural Information Processing Systems

Publication Date

January 1, 2006

Start / End Page

553 / 560
 

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Haro, G., Randall, G., & Sapiro, G. (2006). Stratification Learning: Detecting Mixed Density and Dimensionality in High Dimensional Point Clouds. In NIPS 2006: Proceedings of the 19th International Conference on Neural Information Processing Systems (pp. 553–560).
Haro, G., G. Randall, and G. Sapiro. “Stratification Learning: Detecting Mixed Density and Dimensionality in High Dimensional Point Clouds.” In NIPS 2006: Proceedings of the 19th International Conference on Neural Information Processing Systems, 553–60, 2006.
Haro G, Randall G, Sapiro G. Stratification Learning: Detecting Mixed Density and Dimensionality in High Dimensional Point Clouds. In: NIPS 2006: Proceedings of the 19th International Conference on Neural Information Processing Systems. 2006. p. 553–60.
Haro, G., et al. “Stratification Learning: Detecting Mixed Density and Dimensionality in High Dimensional Point Clouds.” NIPS 2006: Proceedings of the 19th International Conference on Neural Information Processing Systems, 2006, pp. 553–60.
Haro G, Randall G, Sapiro G. Stratification Learning: Detecting Mixed Density and Dimensionality in High Dimensional Point Clouds. NIPS 2006: Proceedings of the 19th International Conference on Neural Information Processing Systems. 2006. p. 553–560.

Published In

NIPS 2006: Proceedings of the 19th International Conference on Neural Information Processing Systems

Publication Date

January 1, 2006

Start / End Page

553 / 560