ICA over finite fields

Authors:
Harold W. Gutch;Peter Gruber;Fabian J. Theis
Affiliations:
Max Planck Institute for Dynamics and Self-Organization, Department of Nonlinear Dynamics, Göttingen, Germany and Technical University of Munich, Germany;University of Regensburg, Germany;Technical University of Munich, Germany and Helmholtz Zentrum Neuherberg, Germany
Venue:
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Year:
2010

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Abstract

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.