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We evaluate the mutual information between the input and the output of a two layer network in the case of a noisy and non-linear analogue channel. In the case where the non-linearity is small with respect to the variability in the noise, we derive an exact expression for the contribution to the mutual information given by the non-linear term in first order(More)
We consider a special type of signal restoration problem where some of the sampling data are not available. The formulation related to samples of the function and its derivative leads to a possibly large linear system associated to a nonsymmetric block Toeplitz matrix which can be equipped with a 2 × 2 matrix-valued symbol. The aim of the paper is to study(More)
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