Publications [#265002] of Guillermo Sapiro

Papers Published

1. Haro, G; Randall, G; Sapiro, G, Regularized mixed dimensionality and density learning in computer vision, Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition (October, 2007), IEEE, ISSN 1063-6919 [doi]
   (last updated on 2024/04/24)

   Abstract:
   A framework for the regularized estimation of non-uniform dimensionality and density in high dimensional data is introduced in this work. This leads to learning stratifications, that is, mixture of manifolds representing different characteristics and complexities in the data set. The basic idea relies on modeling the high dimensional sample points as a process of Poisson mixtures, with regularizing restrictions and spatial continuity constraints. Theoretical asymptotic results for the model are presented as well, The presentation of the framework is complemented with artificial and real examples showing the importance of regularized stratification learning in computer vision applications. © 2007 IEEE.