Reverse-Convex Programming for Sparse Image Codes

@inproceedings{Heiler2005ReverseConvexPF,
  title={Reverse-Convex Programming for Sparse Image Codes},
  author={Matthias Heiler and Christoph Schn{\"o}rr},
  booktitle={EMMCVPR},
  year={2005}
}
Reverse-convex programming (RCP) concerns global optimization of a specific class of non-convex optimization problems. We show that a recently proposed model for sparse non-negative matrix factorization (NMF) belongs to this class. Based on this result, we design two algorithms for sparse NMF that solve sequences of convex secondorder cone programs (SOCP). We work out some well-defined modifications of NMF that leave the original model invariant from the optimization viewpoint. They… CONTINUE READING
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