English

Permuted NMF: A Simple Algorithm Intended to Minimize the Volume of the Score Matrix

Applications 2013-12-19 v1 Machine Learning Machine Learning

Abstract

Non-Negative Matrix Factorization, NMF, attempts to find a number of archetypal response profiles, or parts, such that any sample profile in the dataset can be approximated by a close profile among these archetypes or a linear combination of these profiles. The non-negativity constraint is imposed while estimating archetypal profiles, due to the non-negative nature of the observed signal. Apart from non negativity, a volume constraint can be applied on the Score matrix W to enhance the ability of learning parts of NMF. In this report, we describe a very simple algorithm, which in effect achieves volume minimization, although indirectly.

Keywords

Cite

@article{arxiv.1312.5124,
  title  = {Permuted NMF: A Simple Algorithm Intended to Minimize the Volume of the Score Matrix},
  author = {Paul Fogel},
  journal= {arXiv preprint arXiv:1312.5124},
  year   = {2013}
}