Paper available: blind source separation
Hagai Attias
hagai at phy.ucsf.EDU
Wed Jan 21 19:04:29 EST 1998
A new paper on blind separation of mixed and convolved sources
is available at:
http://keck.ucsf.edu/~hagai/papers.html
-------------------------------------------------------
BLIND SOURCE SEPARATION AND DECONVOLUTION:
THE DYNAMIC COMPONENT ANALYSIS ALGORITHM
Hagai Attias and Christoph E. Schreiner
University of California, San Francisco
hagai at phy.ucsf.edu
(Neural Computation 1998, in press)
We present a novel family of unsupervised learning algorithms for
blind separation of mixed and convolved sources. Our approach,
termed `dynamic component analysis' (DCA), is based on formulating
the separation problem as a learning task of a spatio-temporal
generative model. The resulting learning rules achieve separation
by exploiting high-order spatio-temporal statistics of the observed
data. Using an extension of the relative-gradient concept to the
spatio-temporal case, we derive different rules by learning
generative models in the frequency and time domains, whereas a hybrid
frequency/time model leads to the best performance.
These algorithms generalize independent component analysis (ICA)
to the case of convolutive mixtures, and exhibit superior performance
on instantaneous mixtures. In Addition, our approach can incorporate
information about the mixing situation when available, resulting in a
`semi-blind' separation algorithm. Finally, the spatio-temporal
redundancy reduction performed by DCA algorithms is shown to be
equivalent to information-rate maximization through a simple network.
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