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Abstract:
In this paper we discuss the semiparametric statistical model
for blind deconvolution. First we introduce a Lie Group to the
manifold of noncausal FIR filters. Then blind deconvolution problem
is formulated in the framework of a semiparametric model, and a
family of estimating functions is derived for blind deconvolution.
A natural gradient learning algorithm is presented for training
noncausal filters. To improve the learning efficiency, an explicit
form of standardized estimating functions is given as well.
Superefficiency of the natural gradient learning is proven in this
framework.
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