Chapter 16. ICA with Overcomplete Bases

  1. Aapo Hyvärinen,
  2. Juha Karhunen and
  3. Erkki Oja

Published Online: 15 MAY 2002

DOI: 10.1002/0471221317.ch16

Independent Component Analysis

Independent Component Analysis

How to Cite

Hyvärinen, A., Karhunen, J. and Oja, E. (2001) ICA with Overcomplete Bases, in Independent Component Analysis, John Wiley & Sons, Inc., New York, USA. doi: 10.1002/0471221317.ch16

Author Information

  1. Neural Networks Research Center, Helsinki University of Technology, Finland

Publication History

  1. Published Online: 15 MAY 2002
  2. Published Print: 21 MAY 2001

ISBN Information

Print ISBN: 9780471405405

Online ISBN: 9780471221319



  • independent component analysis (ICA);
  • overcomplete bases;
  • estimation;
  • mixing matrix


The ICA problem becomes much more complicated if there are more independent components than observed mixtures. Basic ICA methods cannot be used as such. In most practical applications, it may be more useful to use the basic ICA model as an approximation of the overcomplete basis model, because the estimation of the basic model can be performed with reliable and efficient algorithms.