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ICA over Finite Fields

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 6365)


Independent Component Analysis is usually performed over the fields of reals or complex numbers and the only other field where some insight has been gained so far is GF(2), the finite field with two elements. We extend this to arbitrary finite fields, proving separability of the model if the sources are non-uniform and non-degenerate and present algorithms performing this task.


  • Independent Component Analysis
  • Finite Field
  • Independent Component Analysis
  • Marginal Probability
  • LDPC Code

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  • DOI: 10.1007/978-3-642-15995-4_80
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Gutch, H.W., Gruber, P., Theis, F.J. (2010). ICA over Finite Fields. In: Vigneron, V., Zarzoso, V., Moreau, E., Gribonval, R., Vincent, E. (eds) Latent Variable Analysis and Signal Separation. LVA/ICA 2010. Lecture Notes in Computer Science, vol 6365. Springer, Berlin, Heidelberg.

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15994-7

  • Online ISBN: 978-3-642-15995-4

  • eBook Packages: Computer ScienceComputer Science (R0)