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Regularized mixed dimensionality and density learning in computer vision

Publication ,  Journal Article
Haro, G; Randall, G; Sapiro, G
Published in: Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
October 11, 2007

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.

Duke Scholars

Published In

Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition

DOI

ISSN

1063-6919

Publication Date

October 11, 2007
 

Citation

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Haro, G., Randall, G., & Sapiro, G. (2007). Regularized mixed dimensionality and density learning in computer vision. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition. https://doi.org/10.1109/CVPR.2007.383401
Haro, G., G. Randall, and G. Sapiro. “Regularized mixed dimensionality and density learning in computer vision.” Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, October 11, 2007. https://doi.org/10.1109/CVPR.2007.383401.
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. 2007 Oct 11;
Haro, G., et al. “Regularized mixed dimensionality and density learning in computer vision.” Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Oct. 2007. Scopus, doi:10.1109/CVPR.2007.383401.
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. 2007 Oct 11;

Published In

Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition

DOI

ISSN

1063-6919

Publication Date

October 11, 2007