Stratification learning: detecting mixed density and dimensionality in high dimensional point clouds

Haro, Gloria - Randall, Gregory - Sapiro, Guillermo

Resumen:

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.


Detalles Bibliográficos
2006
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/38740
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)