See all by looking at a few: Sparse modeling for finding representative objects

@article{Elhamifar2012SeeAB,
  title={See all by looking at a few: Sparse modeling for finding representative objects},
  author={Ehsan Elhamifar and Guillermo Sapiro and Ren{\'e} Vidal},
  journal={2012 IEEE Conference on Computer Vision and Pattern Recognition},
  year={2012},
  pages={1600-1607}
}
We consider the problem of finding a few representatives for a dataset, i.e., a subset of data points that efficiently describes the entire dataset. We assume that each data point can be expressed as a linear combination of the representatives and formulate the problem of finding the representatives as a sparse multiple measurement vector problem. In our formulation, both the dictionary and the measurements are given by the data matrix, and the unknown sparse codes select the representatives… CONTINUE READING
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