Math @ Duke
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Publications [#264701] of Guillermo Sapiro
Papers Published
- Qiu, Q; Sapiro, G, Learning compressed image classification features,
2014 IEEE International Conference on Image Processing, ICIP 2014
(January, 2014),
pp. 5761-5765, IEEE, ISBN 9781479957514 [doi]
(last updated on 2025/02/02)
Abstract: Learning a transformation-based dimension reduction, thereby compressive, technique for classification is here proposed. High-dimensional data often approximately lie in a union of low-dimensional subspaces. We propose to perform dimension reduction by learning a 'fat' linear transformation matrix on subspaces using nuclear norm as the optimization criteria. The learned transformation enables dimension reduction, and, at the same time, restores a low-rank structure for data from the same class and maximizes the separation between different classes, thereby improving classification via learned low-dimensional features. Theoretical and experimental results support the proposed framework, which can be interpreted as learning compressing sensing matrices for classification.
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