Plate IV.695 · Publications

Sparse Component Analysis and Blind Source Separation of Underdetermined Mixtures

Article in IEEE Transactions on Neural Networks, July 2005.

Research area: Blind Source Separation, Sparse Component

Authors

  1. P. Georgiev
  2. F. Theis
  3. A. Cichocki

Abstract

In this letter, we solve the problem of identifying matrices S is an element of R(n x N) and A is an element of R(m x n) knowing only their multiplication X = AS, under some conditions, expressed either in terms of A and sparsity of S (identifiability conditions), or in terms of X (sparse component analysis (SCA) conditions). We present algorithms for such identification and illustrate them by examples.

Cite

@article{georgiev2005sparse,
  title = {{Sparse Component Analysis and Blind Source Separation of Underdetermined Mixtures}},
  author = {Georgiev, P. and Theis, F. and Cichocki, A.},
  journal = {IEEE Transactions on Neural Networks},
  publisher = {Institute of Electrical and Electronics Engineers (IEEE)},
  year = {2005},
  month = jul,
  doi = {10.1109/tnn.2005.849840},
  url = {https://doi.org/10.1109/tnn.2005.849840},
  pmid = {16121741}
}
.bib file