Math @ Duke

Publications [#265047] of Guillermo Sapiro
Papers Published
 Szlam, A; Sapiro, G, Discriminative kmetrics,
Proceedings of the 26th International Conference On Machine Learning, ICML 2009
(2009),
pp. 10091016
(last updated on 2018/12/09)
Abstract: The k qflats algorithm is a generalization of the popular kmeans algorithm where q dimensional best fit affine sets replace centroids as the cluster prototypes. In this work, a modification of the k qflats framework for pattern classification is introduced. The basic idea is to replace the original reconstruction only energy, which is optimized to obtain the k affine spaces, by a new energy that incorporates discriminative terms. This way, the actual classification task is introduced as part of the design and optimization. The presentation of the proposed framework is complemented with experimental results, showing that the method is computationally very efficient and gives excellent results on standard supervised learning benchmarks.


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