Publications [#370936] of Guillermo Sapiro

Papers Published

1. 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 (January, 2006), pp. 553-560, ISBN 9780262195683
   (last updated on 2025/12/31)

   Abstract:
   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.