SVD based initialization: A head start for nonnegative matrix factorization

@article{Boutsidis2008SVDBI,
  title={SVD based initialization: A head start for nonnegative matrix factorization},
  author={Christos Boutsidis and Efstratios Gallopoulos},
  journal={Pattern Recognition},
  year={2008},
  volume={41},
  pages={1350-1362}
}
We describe Nonnegative Double Singular Value Decomposition (NNDSVD), a new method designed to enhance the initialization stage of nonnegative matrix factorization (NMF). NNDSVD can readily be combined with existing NMF algorithms. The basic algorithm contains no randomization and is based on two SVD processes, one approximating the data matrix, the other approximating positive sections of the resulting partial SVD factors utilizing an algebraic property of unit rank matrices. Simple practical… CONTINUE READING
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