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- T. Hoch, G. Wenning, and
K. Obermayer. Adaptation using Local Information for Maximizing the Global
Cost.
.
Neurocomputing, 52-54:467-472, 2003.
Recently the information transmission properties of noisy, parallel
summing threshold arrays, have been investigated and interpreted in a neural
coding context (see Stocks, Phys. Rev. Lett. 84 (2000) 2310; Phys. Rev. E 63
(2001) 1). The mutual information between certain stimuli and corresponding
responses displays a maximum as a function of the noise level. This optimal
noise level depends on the number N of neurons within the array, information
that is not locally available for single neuron adaptation. We give an
analytic expression for the optimal noise level, that only depends on locally
available information. The result is based upon an approximation to the
mutual information. In the large N limit both descriptions
coincide.
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