Publications [#265012] of Guillermo Sapiro

Papers Published

1. Haro, G; Randall, G; Sapiro, G, Stratification learning: Detecting mixed density and dimensionality in high dimensional point clouds, Advances in Neural Information Processing Systems (December, 2007), pp. 553-560, ISSN 1049-5258
   (last updated on 2024/04/18)

   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.